{ "cells": [ { "cell_type": "markdown", "id": "35713c19-d300-4237-9657-24108082f791", "metadata": {}, "source": [ "# Tutorial `kpm_tools.bloch`\n", "\n", "When computing the Kubo-Bastin conductivity with `kwant.kpm.conductivity`, the boundary effects are important. Actually, for any open boundary system, the (overall) Hall conductivity will be zero within all gaps, topological and trivial ones.\n", "\n", "A workaround is to compute the conductivity at the bulk of the sample, to avoid boundary effects. This implies extra care on defining the KPM vectors, and the need for a larger system such that boundaries are far enough from the 'bulk' where the conductivity is computed.\n", "\n", "To address these issues, we can define a system with periodic boundary conditions, in which case we also need periodic velocity operators. The exact shape of the periodic operators depends on the details of the system and on the edges that are wrapped around with `kwant.wraparound`.\n", "The module `kpm_tools.bloch` takes care of correctly defining periodic velocity operators for any wrapped around system.\n", "\n", "Here we will demonstrate the `bloch` module using a system with periodic boundary conditions to get the periodic velocity operators.\n", "If we would use the non-periodic velocity operators the results would be inconsistent.\n", "\n", "This is evident when comparing the Kubo-Bastin longitudinal and Hall conductivity for a small topological system." ] }, { "cell_type": "markdown", "id": "8f4c2028-ea1b-42aa-aef4-6e2e0f72ff9a", "metadata": {}, "source": [ "### First some basic imports and plotting functions" ] }, { "cell_type": "code", "execution_count": 1, "id": "7927d616-b5eb-4495-952d-e4741a43d829", "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "(function(root) {\n", " function now() {\n", " return new Date();\n", " }\n", "\n", " var force = true;\n", " var py_version = '3.3.2'.replace('rc', '-rc.').replace('.dev', '-dev.');\n", " var reloading = false;\n", " var Bokeh = root.Bokeh;\n", "\n", " if (typeof (root._bokeh_timeout) === \"undefined\" || force) {\n", " root._bokeh_timeout = Date.now() + 5000;\n", " root._bokeh_failed_load = false;\n", " }\n", "\n", " function run_callbacks() {\n", " try {\n", " root._bokeh_onload_callbacks.forEach(function(callback) {\n", " if (callback != null)\n", " callback();\n", " });\n", " } finally {\n", " delete root._bokeh_onload_callbacks;\n", " }\n", " console.debug(\"Bokeh: all callbacks have finished\");\n", " }\n", "\n", " function load_libs(css_urls, js_urls, js_modules, js_exports, callback) {\n", " if (css_urls == null) css_urls = [];\n", " if (js_urls == null) js_urls = [];\n", " if (js_modules == null) js_modules = [];\n", " if (js_exports == null) js_exports = {};\n", "\n", " root._bokeh_onload_callbacks.push(callback);\n", "\n", " if (root._bokeh_is_loading > 0) {\n", " console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n", " return null;\n", " }\n", " if (js_urls.length === 0 && js_modules.length === 0 && Object.keys(js_exports).length === 0) {\n", " run_callbacks();\n", " return null;\n", " }\n", " if (!reloading) {\n", " console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n", " }\n", "\n", " function on_load() {\n", " root._bokeh_is_loading--;\n", " if (root._bokeh_is_loading === 0) {\n", " console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n", " run_callbacks()\n", " }\n", " }\n", " window._bokeh_on_load = on_load\n", "\n", " function on_error() {\n", " console.error(\"failed to load \" + url);\n", " }\n", "\n", " var skip = [];\n", " if (window.requirejs) {\n", " window.requirejs.config({'packages': {}, 'paths': {'jspanel': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/jspanel', 'jspanel-modal': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal', 'jspanel-tooltip': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip', 'jspanel-hint': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint', 'jspanel-layout': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout', 'jspanel-contextmenu': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu', 'jspanel-dock': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock', 'gridstack': 'https://cdn.jsdelivr.net/npm/gridstack@7.2.3/dist/gridstack-all', 'notyf': 'https://cdn.jsdelivr.net/npm/notyf@3/notyf.min'}, 'shim': {'jspanel': {'exports': 'jsPanel'}, 'gridstack': {'exports': 'GridStack'}}});\n", " require([\"jspanel\"], function(jsPanel) {\n", "\twindow.jsPanel = jsPanel\n", "\ton_load()\n", " })\n", " require([\"jspanel-modal\"], function() {\n", "\ton_load()\n", " })\n", " require([\"jspanel-tooltip\"], function() {\n", "\ton_load()\n", " })\n", " require([\"jspanel-hint\"], function() {\n", "\ton_load()\n", " })\n", " require([\"jspanel-layout\"], function() {\n", "\ton_load()\n", " })\n", " require([\"jspanel-contextmenu\"], function() {\n", "\ton_load()\n", " })\n", " require([\"jspanel-dock\"], function() {\n", "\ton_load()\n", " })\n", " require([\"gridstack\"], function(GridStack) {\n", "\twindow.GridStack = GridStack\n", "\ton_load()\n", " })\n", " require([\"notyf\"], function() {\n", "\ton_load()\n", " })\n", " root._bokeh_is_loading = css_urls.length + 9;\n", " } else {\n", " root._bokeh_is_loading = css_urls.length + js_urls.length + js_modules.length + Object.keys(js_exports).length;\n", " }\n", "\n", " var existing_stylesheets = []\n", " var links = document.getElementsByTagName('link')\n", " for (var i = 0; i < links.length; i++) {\n", " var link = links[i]\n", " if (link.href != null) {\n", "\texisting_stylesheets.push(link.href)\n", " }\n", " }\n", " for (var i = 0; i < css_urls.length; i++) {\n", " var url = css_urls[i];\n", " if (existing_stylesheets.indexOf(url) !== -1) {\n", "\ton_load()\n", "\tcontinue;\n", " }\n", " const element = document.createElement(\"link\");\n", " element.onload = on_load;\n", " element.onerror = on_error;\n", " element.rel = \"stylesheet\";\n", " element.type = \"text/css\";\n", " element.href = url;\n", " console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n", " document.body.appendChild(element);\n", " } if (((window['jsPanel'] !== undefined) && (!(window['jsPanel'] instanceof HTMLElement))) || window.requirejs) {\n", " var urls = ['https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/jspanel.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock.js'];\n", " for (var i = 0; i < urls.length; i++) {\n", " skip.push(urls[i])\n", " }\n", " } if (((window['GridStack'] !== undefined) && (!(window['GridStack'] instanceof HTMLElement))) || window.requirejs) {\n", " var urls = ['https://cdn.holoviz.org/panel/1.3.6/dist/bundled/gridstack/gridstack@7.2.3/dist/gridstack-all.js'];\n", " for (var i = 0; i < urls.length; i++) {\n", " skip.push(urls[i])\n", " }\n", " } if (((window['Notyf'] !== undefined) && (!(window['Notyf'] instanceof HTMLElement))) || window.requirejs) {\n", " var urls = ['https://cdn.holoviz.org/panel/1.3.6/dist/bundled/notificationarea/notyf@3/notyf.min.js'];\n", " for (var i = 0; i < urls.length; i++) {\n", " skip.push(urls[i])\n", " }\n", " } var existing_scripts = []\n", " var scripts = document.getElementsByTagName('script')\n", " for (var i = 0; i < scripts.length; i++) {\n", " var script = scripts[i]\n", " if (script.src != null) {\n", "\texisting_scripts.push(script.src)\n", " }\n", " }\n", " for (var i = 0; i < js_urls.length; i++) {\n", " var url = js_urls[i];\n", " if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n", "\tif (!window.requirejs) {\n", "\t on_load();\n", "\t}\n", "\tcontinue;\n", " }\n", " var element = document.createElement('script');\n", " element.onload = on_load;\n", " element.onerror = on_error;\n", " element.async = false;\n", " element.src = url;\n", " console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n", " document.head.appendChild(element);\n", " }\n", " for (var i = 0; i < js_modules.length; i++) {\n", " var url = js_modules[i];\n", " if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n", "\tif (!window.requirejs) {\n", "\t on_load();\n", "\t}\n", "\tcontinue;\n", " }\n", " var element = document.createElement('script');\n", " element.onload = on_load;\n", " element.onerror = on_error;\n", " element.async = false;\n", " element.src = url;\n", " element.type = \"module\";\n", " console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n", " document.head.appendChild(element);\n", " }\n", " for (const name in js_exports) {\n", " var url = js_exports[name];\n", " if (skip.indexOf(url) >= 0 || root[name] != null) {\n", "\tif (!window.requirejs) {\n", "\t on_load();\n", "\t}\n", "\tcontinue;\n", " }\n", " var element = document.createElement('script');\n", " element.onerror = on_error;\n", " element.async = false;\n", " element.type = \"module\";\n", " console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n", " element.textContent = `\n", " import ${name} from \"${url}\"\n", " window.${name} = ${name}\n", " window._bokeh_on_load()\n", " `\n", " document.head.appendChild(element);\n", " }\n", " if (!js_urls.length && !js_modules.length) {\n", " on_load()\n", " }\n", " };\n", "\n", " function inject_raw_css(css) {\n", " const element = document.createElement(\"style\");\n", " element.appendChild(document.createTextNode(css));\n", " document.body.appendChild(element);\n", " }\n", "\n", " var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.3.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.3.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.3.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.3.2.min.js\", \"https://cdn.holoviz.org/panel/1.3.6/dist/panel.min.js\"];\n", " var js_modules = [];\n", " var js_exports = {};\n", " var css_urls = [];\n", " var inline_js = [ function(Bokeh) {\n", " Bokeh.set_log_level(\"info\");\n", " },\n", "function(Bokeh) {} // ensure no trailing comma for IE\n", " ];\n", "\n", " function run_inline_js() {\n", " if ((root.Bokeh !== undefined) || (force === true)) {\n", " for (var i = 0; i < inline_js.length; i++) {\n", "\ttry {\n", " inline_js[i].call(root, root.Bokeh);\n", "\t} catch(e) {\n", "\t if (!reloading) {\n", "\t throw e;\n", "\t }\n", "\t}\n", " }\n", " // Cache old bokeh versions\n", " if (Bokeh != undefined && !reloading) {\n", "\tvar NewBokeh = root.Bokeh;\n", "\tif (Bokeh.versions === undefined) {\n", "\t Bokeh.versions = new Map();\n", "\t}\n", "\tif (NewBokeh.version !== Bokeh.version) {\n", "\t Bokeh.versions.set(NewBokeh.version, NewBokeh)\n", "\t}\n", "\troot.Bokeh = Bokeh;\n", " }} else if (Date.now() < root._bokeh_timeout) {\n", " setTimeout(run_inline_js, 100);\n", " } else if (!root._bokeh_failed_load) {\n", " console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n", " root._bokeh_failed_load = true;\n", " }\n", " root._bokeh_is_initializing = false\n", " }\n", "\n", " function load_or_wait() {\n", " // Implement a backoff loop that tries to ensure we do not load multiple\n", " // versions of Bokeh and its dependencies at the same time.\n", " // In recent versions we use the root._bokeh_is_initializing flag\n", " // to determine whether there is an ongoing attempt to initialize\n", " // bokeh, however for backward compatibility we also try to ensure\n", " // that we do not start loading a newer (Panel>=1.0 and Bokeh>3) version\n", " // before older versions are fully initialized.\n", " if (root._bokeh_is_initializing && Date.now() > root._bokeh_timeout) {\n", " root._bokeh_is_initializing = false;\n", " root._bokeh_onload_callbacks = undefined;\n", " console.log(\"Bokeh: BokehJS was loaded multiple times but one version failed to initialize.\");\n", " load_or_wait();\n", " } else if (root._bokeh_is_initializing || (typeof root._bokeh_is_initializing === \"undefined\" && root._bokeh_onload_callbacks !== undefined)) {\n", " setTimeout(load_or_wait, 100);\n", " } else {\n", " root._bokeh_is_initializing = true\n", " root._bokeh_onload_callbacks = []\n", " var bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\n", " if (!reloading && !bokeh_loaded) {\n", "\troot.Bokeh = undefined;\n", " }\n", " load_libs(css_urls, js_urls, js_modules, js_exports, function() {\n", "\tconsole.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n", "\trun_inline_js();\n", " });\n", " }\n", " }\n", " // Give older versions of the autoload script a head-start to ensure\n", " // they initialize before we start loading newer version.\n", " setTimeout(load_or_wait, 100)\n", "}(window));" ], "application/vnd.holoviews_load.v0+json": "(function(root) {\n function now() {\n return new Date();\n }\n\n var force = true;\n var py_version = '3.3.2'.replace('rc', '-rc.').replace('.dev', '-dev.');\n var reloading = false;\n var Bokeh = root.Bokeh;\n\n if (typeof (root._bokeh_timeout) === \"undefined\" || force) {\n root._bokeh_timeout = Date.now() + 5000;\n root._bokeh_failed_load = false;\n }\n\n function run_callbacks() {\n try {\n root._bokeh_onload_callbacks.forEach(function(callback) {\n if (callback != null)\n callback();\n });\n } finally {\n delete root._bokeh_onload_callbacks;\n }\n console.debug(\"Bokeh: all callbacks have finished\");\n }\n\n function load_libs(css_urls, js_urls, js_modules, js_exports, callback) {\n if (css_urls == null) css_urls = [];\n if (js_urls == null) js_urls = [];\n if (js_modules == null) js_modules = [];\n if (js_exports == null) js_exports = {};\n\n root._bokeh_onload_callbacks.push(callback);\n\n if (root._bokeh_is_loading > 0) {\n console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n return null;\n }\n if (js_urls.length === 0 && js_modules.length === 0 && Object.keys(js_exports).length === 0) {\n run_callbacks();\n return null;\n }\n if (!reloading) {\n console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n }\n\n function on_load() {\n root._bokeh_is_loading--;\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n run_callbacks()\n }\n }\n window._bokeh_on_load = on_load\n\n function on_error() {\n console.error(\"failed to load \" + url);\n }\n\n var skip = [];\n if (window.requirejs) {\n window.requirejs.config({'packages': {}, 'paths': {'jspanel': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/jspanel', 'jspanel-modal': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal', 'jspanel-tooltip': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip', 'jspanel-hint': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint', 'jspanel-layout': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout', 'jspanel-contextmenu': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu', 'jspanel-dock': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock', 'gridstack': 'https://cdn.jsdelivr.net/npm/gridstack@7.2.3/dist/gridstack-all', 'notyf': 'https://cdn.jsdelivr.net/npm/notyf@3/notyf.min'}, 'shim': {'jspanel': {'exports': 'jsPanel'}, 'gridstack': {'exports': 'GridStack'}}});\n require([\"jspanel\"], function(jsPanel) {\n\twindow.jsPanel = jsPanel\n\ton_load()\n })\n require([\"jspanel-modal\"], function() {\n\ton_load()\n })\n require([\"jspanel-tooltip\"], function() {\n\ton_load()\n })\n require([\"jspanel-hint\"], function() {\n\ton_load()\n })\n require([\"jspanel-layout\"], function() {\n\ton_load()\n })\n require([\"jspanel-contextmenu\"], function() {\n\ton_load()\n })\n require([\"jspanel-dock\"], function() {\n\ton_load()\n })\n require([\"gridstack\"], function(GridStack) {\n\twindow.GridStack = GridStack\n\ton_load()\n })\n require([\"notyf\"], function() {\n\ton_load()\n })\n root._bokeh_is_loading = css_urls.length + 9;\n } else {\n root._bokeh_is_loading = css_urls.length + js_urls.length + js_modules.length + Object.keys(js_exports).length;\n }\n\n var existing_stylesheets = []\n var links = document.getElementsByTagName('link')\n for (var i = 0; i < links.length; i++) {\n var link = links[i]\n if (link.href != null) {\n\texisting_stylesheets.push(link.href)\n }\n }\n for (var i = 0; i < css_urls.length; i++) {\n var url = css_urls[i];\n if (existing_stylesheets.indexOf(url) !== -1) {\n\ton_load()\n\tcontinue;\n }\n const element = document.createElement(\"link\");\n element.onload = on_load;\n element.onerror = on_error;\n element.rel = \"stylesheet\";\n element.type = \"text/css\";\n element.href = url;\n console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n document.body.appendChild(element);\n } if (((window['jsPanel'] !== undefined) && (!(window['jsPanel'] instanceof HTMLElement))) || window.requirejs) {\n var urls = ['https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/jspanel.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu.js', 'https://cdn.holoviz.org/panel/1.3.6/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock.js'];\n for (var i = 0; i < urls.length; i++) {\n skip.push(urls[i])\n }\n } if (((window['GridStack'] !== undefined) && (!(window['GridStack'] instanceof HTMLElement))) || window.requirejs) {\n var urls = ['https://cdn.holoviz.org/panel/1.3.6/dist/bundled/gridstack/gridstack@7.2.3/dist/gridstack-all.js'];\n for (var i = 0; i < urls.length; i++) {\n skip.push(urls[i])\n }\n } if (((window['Notyf'] !== undefined) && (!(window['Notyf'] instanceof HTMLElement))) || window.requirejs) {\n var urls = ['https://cdn.holoviz.org/panel/1.3.6/dist/bundled/notificationarea/notyf@3/notyf.min.js'];\n for (var i = 0; i < urls.length; i++) {\n skip.push(urls[i])\n }\n } var existing_scripts = []\n var scripts = document.getElementsByTagName('script')\n for (var i = 0; i < scripts.length; i++) {\n var script = scripts[i]\n if (script.src != null) {\n\texisting_scripts.push(script.src)\n }\n }\n for (var i = 0; i < js_urls.length; i++) {\n var url = js_urls[i];\n if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n\tif (!window.requirejs) {\n\t on_load();\n\t}\n\tcontinue;\n }\n var element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error;\n element.async = false;\n element.src = url;\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n for (var i = 0; i < js_modules.length; i++) {\n var url = js_modules[i];\n if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n\tif (!window.requirejs) {\n\t on_load();\n\t}\n\tcontinue;\n }\n var element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error;\n element.async = false;\n element.src = url;\n element.type = \"module\";\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n for (const name in js_exports) {\n var url = js_exports[name];\n if (skip.indexOf(url) >= 0 || root[name] != null) {\n\tif (!window.requirejs) {\n\t on_load();\n\t}\n\tcontinue;\n }\n var element = document.createElement('script');\n element.onerror = on_error;\n element.async = false;\n element.type = \"module\";\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n element.textContent = `\n import ${name} from \"${url}\"\n window.${name} = ${name}\n window._bokeh_on_load()\n `\n document.head.appendChild(element);\n }\n if (!js_urls.length && !js_modules.length) {\n on_load()\n }\n };\n\n function inject_raw_css(css) {\n const element = document.createElement(\"style\");\n element.appendChild(document.createTextNode(css));\n document.body.appendChild(element);\n }\n\n var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.3.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.3.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.3.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.3.2.min.js\", \"https://cdn.holoviz.org/panel/1.3.6/dist/panel.min.js\"];\n var js_modules = [];\n var js_exports = {};\n var css_urls = [];\n var inline_js = [ function(Bokeh) {\n Bokeh.set_log_level(\"info\");\n },\nfunction(Bokeh) {} // ensure no trailing comma for IE\n ];\n\n function run_inline_js() {\n if ((root.Bokeh !== undefined) || (force === true)) {\n for (var i = 0; i < inline_js.length; i++) {\n\ttry {\n inline_js[i].call(root, root.Bokeh);\n\t} catch(e) {\n\t if (!reloading) {\n\t throw e;\n\t }\n\t}\n }\n // Cache old bokeh versions\n if (Bokeh != undefined && !reloading) {\n\tvar NewBokeh = root.Bokeh;\n\tif (Bokeh.versions === undefined) {\n\t Bokeh.versions = new Map();\n\t}\n\tif (NewBokeh.version !== Bokeh.version) {\n\t Bokeh.versions.set(NewBokeh.version, NewBokeh)\n\t}\n\troot.Bokeh = Bokeh;\n }} else if (Date.now() < root._bokeh_timeout) {\n setTimeout(run_inline_js, 100);\n } else if (!root._bokeh_failed_load) {\n console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n root._bokeh_failed_load = true;\n }\n root._bokeh_is_initializing = false\n }\n\n function load_or_wait() {\n // Implement a backoff loop that tries to ensure we do not load multiple\n // versions of Bokeh and its dependencies at the same time.\n // In recent versions we use the root._bokeh_is_initializing flag\n // to determine whether there is an ongoing attempt to initialize\n // bokeh, however for backward compatibility we also try to ensure\n // that we do not start loading a newer (Panel>=1.0 and Bokeh>3) version\n // before older versions are fully initialized.\n if (root._bokeh_is_initializing && Date.now() > root._bokeh_timeout) {\n root._bokeh_is_initializing = false;\n root._bokeh_onload_callbacks = undefined;\n console.log(\"Bokeh: BokehJS was loaded multiple times but one version failed to initialize.\");\n load_or_wait();\n } else if (root._bokeh_is_initializing || (typeof root._bokeh_is_initializing === \"undefined\" && root._bokeh_onload_callbacks !== undefined)) {\n setTimeout(load_or_wait, 100);\n } else {\n root._bokeh_is_initializing = true\n root._bokeh_onload_callbacks = []\n var bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\n if (!reloading && !bokeh_loaded) {\n\troot.Bokeh = undefined;\n }\n load_libs(css_urls, js_urls, js_modules, js_exports, function() {\n\tconsole.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n\trun_inline_js();\n });\n }\n }\n // Give older versions of the autoload script a head-start to ensure\n // they initialize before we start loading newer version.\n setTimeout(load_or_wait, 100)\n}(window));" }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", "if ((window.PyViz === undefined) || (window.PyViz instanceof HTMLElement)) {\n", " window.PyViz = {comms: {}, comm_status:{}, kernels:{}, receivers: {}, plot_index: []}\n", "}\n", "\n", "\n", " function JupyterCommManager() {\n", " }\n", "\n", " JupyterCommManager.prototype.register_target = function(plot_id, comm_id, msg_handler) {\n", " if (window.comm_manager || ((window.Jupyter !== undefined) && (Jupyter.notebook.kernel != null))) {\n", " var comm_manager = window.comm_manager || Jupyter.notebook.kernel.comm_manager;\n", " comm_manager.register_target(comm_id, function(comm) {\n", " comm.on_msg(msg_handler);\n", " });\n", " } else if ((plot_id in window.PyViz.kernels) && (window.PyViz.kernels[plot_id])) {\n", " window.PyViz.kernels[plot_id].registerCommTarget(comm_id, function(comm) {\n", " comm.onMsg = msg_handler;\n", " });\n", " } else if (typeof google != 'undefined' && google.colab.kernel != null) {\n", " google.colab.kernel.comms.registerTarget(comm_id, (comm) => {\n", " var messages = comm.messages[Symbol.asyncIterator]();\n", " function processIteratorResult(result) {\n", " var message = result.value;\n", " console.log(message)\n", " var content = {data: message.data, comm_id};\n", " var buffers = []\n", " for (var buffer of message.buffers || []) {\n", " buffers.push(new DataView(buffer))\n", " }\n", " var metadata = message.metadata || {};\n", " var msg = {content, buffers, metadata}\n", " msg_handler(msg);\n", " return messages.next().then(processIteratorResult);\n", " }\n", " return messages.next().then(processIteratorResult);\n", " })\n", " }\n", " }\n", "\n", " JupyterCommManager.prototype.get_client_comm = function(plot_id, comm_id, msg_handler) {\n", " if (comm_id in window.PyViz.comms) {\n", " return window.PyViz.comms[comm_id];\n", " } else if (window.comm_manager || ((window.Jupyter !== undefined) && (Jupyter.notebook.kernel != null))) {\n", " var comm_manager = window.comm_manager || Jupyter.notebook.kernel.comm_manager;\n", " var comm = comm_manager.new_comm(comm_id, {}, {}, {}, comm_id);\n", " if (msg_handler) {\n", " comm.on_msg(msg_handler);\n", " }\n", " } else if ((plot_id in window.PyViz.kernels) && (window.PyViz.kernels[plot_id])) {\n", " var comm = window.PyViz.kernels[plot_id].connectToComm(comm_id);\n", " comm.open();\n", " if (msg_handler) {\n", " comm.onMsg = msg_handler;\n", " }\n", " } else if (typeof google != 'undefined' && google.colab.kernel != null) {\n", " var comm_promise = google.colab.kernel.comms.open(comm_id)\n", " comm_promise.then((comm) => {\n", " window.PyViz.comms[comm_id] = comm;\n", " if (msg_handler) {\n", " var messages = comm.messages[Symbol.asyncIterator]();\n", " function processIteratorResult(result) {\n", " var message = result.value;\n", " var content = {data: message.data};\n", " var metadata = message.metadata || {comm_id};\n", " var msg = {content, metadata}\n", " msg_handler(msg);\n", " return messages.next().then(processIteratorResult);\n", " }\n", " return messages.next().then(processIteratorResult);\n", " }\n", " }) \n", " var sendClosure = (data, metadata, buffers, disposeOnDone) => {\n", " return comm_promise.then((comm) => {\n", " comm.send(data, metadata, buffers, disposeOnDone);\n", " });\n", " };\n", " var comm = {\n", " send: sendClosure\n", " };\n", " }\n", " window.PyViz.comms[comm_id] = comm;\n", " return comm;\n", " }\n", " window.PyViz.comm_manager = new JupyterCommManager();\n", " \n", "\n", "\n", "var JS_MIME_TYPE = 'application/javascript';\n", "var HTML_MIME_TYPE = 'text/html';\n", "var EXEC_MIME_TYPE = 'application/vnd.holoviews_exec.v0+json';\n", "var CLASS_NAME = 'output';\n", "\n", "/**\n", " * Render data to the DOM node\n", " */\n", "function render(props, node) {\n", " var div = document.createElement(\"div\");\n", " var script = document.createElement(\"script\");\n", " node.appendChild(div);\n", " node.appendChild(script);\n", "}\n", "\n", "/**\n", " * Handle when a new output is added\n", " */\n", "function handle_add_output(event, handle) {\n", " var output_area = handle.output_area;\n", " var output = handle.output;\n", " if ((output.data == undefined) || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n", " return\n", " }\n", " var id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n", " var toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n", " if (id !== undefined) {\n", " var nchildren = toinsert.length;\n", " var html_node = toinsert[nchildren-1].children[0];\n", " html_node.innerHTML = output.data[HTML_MIME_TYPE];\n", " var scripts = [];\n", " var nodelist = html_node.querySelectorAll(\"script\");\n", " for (var i in nodelist) {\n", " if (nodelist.hasOwnProperty(i)) {\n", " scripts.push(nodelist[i])\n", " }\n", " }\n", "\n", " scripts.forEach( function (oldScript) {\n", " var newScript = document.createElement(\"script\");\n", " var attrs = [];\n", " var nodemap = oldScript.attributes;\n", " for (var j in nodemap) {\n", " if (nodemap.hasOwnProperty(j)) {\n", " attrs.push(nodemap[j])\n", " }\n", " }\n", " attrs.forEach(function(attr) { newScript.setAttribute(attr.name, attr.value) });\n", " newScript.appendChild(document.createTextNode(oldScript.innerHTML));\n", " oldScript.parentNode.replaceChild(newScript, oldScript);\n", " });\n", " if (JS_MIME_TYPE in output.data) {\n", " toinsert[nchildren-1].children[1].textContent = output.data[JS_MIME_TYPE];\n", " }\n", " output_area._hv_plot_id = id;\n", " if ((window.Bokeh !== undefined) && (id in Bokeh.index)) {\n", " window.PyViz.plot_index[id] = Bokeh.index[id];\n", " } else {\n", " window.PyViz.plot_index[id] = null;\n", " }\n", " } else if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n", " var bk_div = document.createElement(\"div\");\n", " bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n", " var script_attrs = bk_div.children[0].attributes;\n", " for (var i = 0; i < script_attrs.length; i++) {\n", " toinsert[toinsert.length - 1].childNodes[1].setAttribute(script_attrs[i].name, script_attrs[i].value);\n", " }\n", " // store reference to server id on output_area\n", " output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n", " }\n", "}\n", "\n", "/**\n", " * Handle when an output is cleared or removed\n", " */\n", "function handle_clear_output(event, handle) {\n", " var id = handle.cell.output_area._hv_plot_id;\n", " var server_id = handle.cell.output_area._bokeh_server_id;\n", " if (((id === undefined) || !(id in PyViz.plot_index)) && (server_id !== undefined)) { return; }\n", " var comm = window.PyViz.comm_manager.get_client_comm(\"hv-extension-comm\", \"hv-extension-comm\", function () {});\n", " if (server_id !== null) {\n", " comm.send({event_type: 'server_delete', 'id': server_id});\n", " return;\n", " } else if (comm !== null) {\n", " comm.send({event_type: 'delete', 'id': id});\n", " }\n", " delete PyViz.plot_index[id];\n", " if ((window.Bokeh !== undefined) & (id in window.Bokeh.index)) {\n", " var doc = window.Bokeh.index[id].model.document\n", " doc.clear();\n", " const i = window.Bokeh.documents.indexOf(doc);\n", " if (i > -1) {\n", " window.Bokeh.documents.splice(i, 1);\n", " }\n", " }\n", "}\n", "\n", "/**\n", " * Handle kernel restart event\n", " */\n", "function handle_kernel_cleanup(event, handle) {\n", " delete PyViz.comms[\"hv-extension-comm\"];\n", " window.PyViz.plot_index = {}\n", "}\n", "\n", "/**\n", " * Handle update_display_data messages\n", " */\n", "function handle_update_output(event, handle) {\n", " handle_clear_output(event, {cell: {output_area: handle.output_area}})\n", " handle_add_output(event, handle)\n", "}\n", "\n", "function register_renderer(events, OutputArea) {\n", " function append_mime(data, metadata, element) {\n", " // create a DOM node to render to\n", " var toinsert = this.create_output_subarea(\n", " metadata,\n", " CLASS_NAME,\n", " EXEC_MIME_TYPE\n", " );\n", " this.keyboard_manager.register_events(toinsert);\n", " // Render to node\n", " var props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n", " render(props, toinsert[0]);\n", " element.append(toinsert);\n", " return toinsert\n", " }\n", "\n", " events.on('output_added.OutputArea', handle_add_output);\n", " events.on('output_updated.OutputArea', handle_update_output);\n", " events.on('clear_output.CodeCell', handle_clear_output);\n", " events.on('delete.Cell', handle_clear_output);\n", " events.on('kernel_ready.Kernel', handle_kernel_cleanup);\n", "\n", " OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n", " safe: true,\n", " index: 0\n", " });\n", "}\n", "\n", "if (window.Jupyter !== undefined) {\n", " try {\n", " var events = require('base/js/events');\n", " var OutputArea = require('notebook/js/outputarea').OutputArea;\n", " if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n", " register_renderer(events, OutputArea);\n", " }\n", " } catch(err) {\n", " }\n", "}\n" ], "application/vnd.holoviews_load.v0+json": "\nif ((window.PyViz === undefined) || (window.PyViz instanceof HTMLElement)) {\n window.PyViz = {comms: {}, comm_status:{}, kernels:{}, receivers: {}, plot_index: []}\n}\n\n\n function JupyterCommManager() {\n }\n\n JupyterCommManager.prototype.register_target = function(plot_id, comm_id, msg_handler) {\n if (window.comm_manager || ((window.Jupyter !== undefined) && (Jupyter.notebook.kernel != null))) {\n var comm_manager = window.comm_manager || Jupyter.notebook.kernel.comm_manager;\n comm_manager.register_target(comm_id, function(comm) {\n comm.on_msg(msg_handler);\n });\n } else if ((plot_id in window.PyViz.kernels) && (window.PyViz.kernels[plot_id])) {\n window.PyViz.kernels[plot_id].registerCommTarget(comm_id, function(comm) {\n comm.onMsg = msg_handler;\n });\n } else if (typeof google != 'undefined' && google.colab.kernel != null) {\n google.colab.kernel.comms.registerTarget(comm_id, (comm) => {\n var messages = comm.messages[Symbol.asyncIterator]();\n function processIteratorResult(result) {\n var message = result.value;\n console.log(message)\n var content = {data: message.data, comm_id};\n var buffers = []\n for (var buffer of message.buffers || []) {\n buffers.push(new DataView(buffer))\n }\n var metadata = message.metadata || {};\n var msg = {content, buffers, metadata}\n msg_handler(msg);\n return messages.next().then(processIteratorResult);\n }\n return messages.next().then(processIteratorResult);\n })\n }\n }\n\n JupyterCommManager.prototype.get_client_comm = function(plot_id, comm_id, msg_handler) {\n if (comm_id in window.PyViz.comms) {\n return window.PyViz.comms[comm_id];\n } else if (window.comm_manager || ((window.Jupyter !== undefined) && (Jupyter.notebook.kernel != null))) {\n var comm_manager = window.comm_manager || Jupyter.notebook.kernel.comm_manager;\n var comm = comm_manager.new_comm(comm_id, {}, {}, {}, comm_id);\n if (msg_handler) {\n comm.on_msg(msg_handler);\n }\n } else if ((plot_id in window.PyViz.kernels) && (window.PyViz.kernels[plot_id])) {\n var comm = window.PyViz.kernels[plot_id].connectToComm(comm_id);\n comm.open();\n if (msg_handler) {\n comm.onMsg = msg_handler;\n }\n } else if (typeof google != 'undefined' && google.colab.kernel != null) {\n var comm_promise = google.colab.kernel.comms.open(comm_id)\n comm_promise.then((comm) => {\n window.PyViz.comms[comm_id] = comm;\n if (msg_handler) {\n var messages = comm.messages[Symbol.asyncIterator]();\n function processIteratorResult(result) {\n var message = result.value;\n var content = {data: message.data};\n var metadata = message.metadata || {comm_id};\n var msg = {content, metadata}\n msg_handler(msg);\n return messages.next().then(processIteratorResult);\n }\n return messages.next().then(processIteratorResult);\n }\n }) \n var sendClosure = (data, metadata, buffers, disposeOnDone) => {\n return comm_promise.then((comm) => {\n comm.send(data, metadata, buffers, disposeOnDone);\n });\n };\n var comm = {\n send: sendClosure\n };\n }\n window.PyViz.comms[comm_id] = comm;\n return comm;\n }\n window.PyViz.comm_manager = new JupyterCommManager();\n \n\n\nvar JS_MIME_TYPE = 'application/javascript';\nvar HTML_MIME_TYPE = 'text/html';\nvar EXEC_MIME_TYPE = 'application/vnd.holoviews_exec.v0+json';\nvar CLASS_NAME = 'output';\n\n/**\n * Render data to the DOM node\n */\nfunction render(props, node) {\n var div = document.createElement(\"div\");\n var script = document.createElement(\"script\");\n node.appendChild(div);\n node.appendChild(script);\n}\n\n/**\n * Handle when a new output is added\n */\nfunction handle_add_output(event, handle) {\n var output_area = handle.output_area;\n var output = handle.output;\n if ((output.data == undefined) || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n return\n }\n var id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n var toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n if (id !== undefined) {\n var nchildren = toinsert.length;\n var html_node = toinsert[nchildren-1].children[0];\n html_node.innerHTML = output.data[HTML_MIME_TYPE];\n var scripts = [];\n var nodelist = html_node.querySelectorAll(\"script\");\n for (var i in nodelist) {\n if (nodelist.hasOwnProperty(i)) {\n scripts.push(nodelist[i])\n }\n }\n\n scripts.forEach( function (oldScript) {\n var newScript = document.createElement(\"script\");\n var attrs = [];\n var nodemap = oldScript.attributes;\n for (var j in nodemap) {\n if (nodemap.hasOwnProperty(j)) {\n attrs.push(nodemap[j])\n }\n }\n attrs.forEach(function(attr) { newScript.setAttribute(attr.name, attr.value) });\n newScript.appendChild(document.createTextNode(oldScript.innerHTML));\n oldScript.parentNode.replaceChild(newScript, oldScript);\n });\n if (JS_MIME_TYPE in output.data) {\n toinsert[nchildren-1].children[1].textContent = output.data[JS_MIME_TYPE];\n }\n output_area._hv_plot_id = id;\n if ((window.Bokeh !== undefined) && (id in Bokeh.index)) {\n window.PyViz.plot_index[id] = Bokeh.index[id];\n } else {\n window.PyViz.plot_index[id] = null;\n }\n } else if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n var bk_div = document.createElement(\"div\");\n bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n var script_attrs = bk_div.children[0].attributes;\n for (var i = 0; i < script_attrs.length; i++) {\n toinsert[toinsert.length - 1].childNodes[1].setAttribute(script_attrs[i].name, script_attrs[i].value);\n }\n // store reference to server id on output_area\n output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n }\n}\n\n/**\n * Handle when an output is cleared or removed\n */\nfunction handle_clear_output(event, handle) {\n var id = handle.cell.output_area._hv_plot_id;\n var server_id = handle.cell.output_area._bokeh_server_id;\n if (((id === undefined) || !(id in PyViz.plot_index)) && (server_id !== undefined)) { return; }\n var comm = window.PyViz.comm_manager.get_client_comm(\"hv-extension-comm\", \"hv-extension-comm\", function () {});\n if (server_id !== null) {\n comm.send({event_type: 'server_delete', 'id': server_id});\n return;\n } else if (comm !== null) {\n comm.send({event_type: 'delete', 'id': id});\n }\n delete PyViz.plot_index[id];\n if ((window.Bokeh !== undefined) & (id in window.Bokeh.index)) {\n var doc = window.Bokeh.index[id].model.document\n doc.clear();\n const i = window.Bokeh.documents.indexOf(doc);\n if (i > -1) {\n window.Bokeh.documents.splice(i, 1);\n }\n }\n}\n\n/**\n * Handle kernel restart event\n */\nfunction handle_kernel_cleanup(event, handle) {\n delete PyViz.comms[\"hv-extension-comm\"];\n window.PyViz.plot_index = {}\n}\n\n/**\n * Handle update_display_data messages\n */\nfunction handle_update_output(event, handle) {\n handle_clear_output(event, {cell: {output_area: handle.output_area}})\n handle_add_output(event, handle)\n}\n\nfunction register_renderer(events, OutputArea) {\n function append_mime(data, metadata, element) {\n // create a DOM node to render to\n var toinsert = this.create_output_subarea(\n metadata,\n CLASS_NAME,\n EXEC_MIME_TYPE\n );\n this.keyboard_manager.register_events(toinsert);\n // Render to node\n var props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n render(props, toinsert[0]);\n element.append(toinsert);\n return toinsert\n }\n\n events.on('output_added.OutputArea', handle_add_output);\n events.on('output_updated.OutputArea', handle_update_output);\n events.on('clear_output.CodeCell', handle_clear_output);\n events.on('delete.Cell', handle_clear_output);\n events.on('kernel_ready.Kernel', handle_kernel_cleanup);\n\n OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n safe: true,\n index: 0\n });\n}\n\nif (window.Jupyter !== undefined) {\n try {\n var events = require('base/js/events');\n var OutputArea = require('notebook/js/outputarea').OutputArea;\n if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n register_renderer(events, OutputArea);\n }\n } catch(err) {\n }\n}\n" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.holoviews_exec.v0+json": "", "text/html": [ "
\n", "
\n", "
\n", "" ] }, "metadata": { "application/vnd.holoviews_exec.v0+json": { "id": "p1002" } }, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
\n", "\n", "\n", "\n", "\n", "\n", " \n", " \n", "\n", "\n", "
\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import kwant\n", "from kpm_tools import bloch\n", "from kpm_tools.bloch import wrap_velocity\n", "from kpm_tools.hamiltonians import haldane_pbc\n", "\n", "# plotting\n", "import matplotlib.pyplot, matplotlib.backends\n", "import matplotlib.pyplot as plt\n", "import holoviews as hv\n", "hv.notebook_extension()\n", "\n", "\n", "def plot_dos_and_curves(dos, labels_to_data, ylabel=\"DoS [a.u.]\"):\n", " plt.figure(figsize=(5,4))\n", " plt.fill_between(dos[0], dos[1], label=\"DoS [a.u.]\",\n", " alpha=0.5, color='gray')\n", " for label, (x, y) in labels_to_data:\n", " plt.plot(x, y, label=label, linewidth=2)\n", " plt.legend(framealpha=0.5)\n", " plt.xlabel(\"energy [t]\")\n", " plt.ylabel(ylabel)\n", "\n", " plt.ylim(-2, 4)\n" ] }, { "cell_type": "markdown", "id": "4c825b40-6858-415d-b71c-753c016aef3d", "metadata": {}, "source": [ "## Define a periodic Haldane topological system" ] }, { "cell_type": "code", "execution_count": 2, "id": "f39e1dfe-0e99-4b4f-8019-48c2d4bc52c8", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lx = 10\n", "ly = 10\n", "trans_symm = [(lx, 0), (0, ly)]\n", "lat, syst = haldane_pbc(trans_symm, return_builder=True)\n", "\n", "\n", "fsyst = kwant.wraparound.wraparound(syst).finalized()\n", "\n", "norbs = fsyst.sites[0].family.norbs\n", "bounds = (-3.1, 3.1)\n", "\n", "\n", "params = dict(zip(fsyst._momentum_names, (0, 0)))\n", "\n", "\n", "kwant.plot(fsyst);\n" ] }, { "cell_type": "markdown", "id": "7c340197-a9e9-495a-9d35-c1fc2d3fa9ce", "metadata": {}, "source": [ "### Define periodic velocity operators on the periodic system" ] }, { "cell_type": "code", "execution_count": 3, "id": "forward-island", "metadata": {}, "outputs": [], "source": [ "velocity_builder = wrap_velocity(syst)\n", "vx = velocity_builder.hamiltonian_submatrix(params=dict(k_x=0, k_y=0, direction=[1, 0]), sparse=True)\n", "vy = velocity_builder.hamiltonian_submatrix(params=dict(k_x=0, k_y=0, direction=[0, 1]), sparse=True)\n" ] }, { "cell_type": "markdown", "id": "binding-belly", "metadata": {}, "source": [ "## Use periodic velocity operators\n", "(in a periodic system)" ] }, { "cell_type": "code", "execution_count": 4, "id": "hazardous-invalid", "metadata": {}, "outputs": [], "source": [ "s_factory = kwant.kpm.LocalVectors(fsyst, where=None)\n", "vectors = list(s_factory)\n", "num_vectors = len(vectors)\n", "\n", "# number of sites per vector\n", "norm_v = np.linalg.norm(vectors[0]) ** 2\n", "\n", "cond_xx = kwant.kpm.conductivity(\n", " fsyst, params=params,\n", " bounds=bounds,\n", " alpha=vx,\n", " beta=vx,\n", " mean=False,\n", " num_vectors=num_vectors,\n", " vector_factory=vectors)\n", "\n", "cond_xy = kwant.kpm.conductivity(\n", " fsyst, params=params,\n", " alpha=vx,\n", " beta=vy,\n", " mean=False,\n", " num_vectors=num_vectors,\n", " vector_factory=vectors\n", ")\n", "\n", "energies = cond_xx.energies\n", "cond_array_xx = np.array([cond_xx(e, temperature=0.0) for e in energies]).real\n", "cond_array_xy = np.array([cond_xy(e, temperature=0.0) for e in energies]).real\n", "\n", "# area of the unit cell per site\n", "area_per_site = np.abs(np.cross(*lat.prim_vecs)) / len(lat.sublattices)\n", "cond_array_xx /= area_per_site\n", "cond_array_xy /= area_per_site\n", "\n", "cond_array_xx = cond_array_xx / norm_v\n", "cond_array_xy = cond_array_xy / norm_v\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "intensive-benchmark", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spectrum = kwant.kpm.SpectralDensity(fsyst, params=params)\n", "\n", "plot_dos_and_curves(\n", " (spectrum.energies, spectrum.densities.real / (lx * ly / 3)),\n", " [\n", " (r'Longitudinal conductivity $\\sigma_{xx}/L_x$',\n", " (spectrum.energies, cond_array_xx.mean(1) / (lx))),\n", " (r'Hall conductivity $\\sigma_{xy}$',\n", " (spectrum.energies, cond_array_xy.mean(1)))],\n", " ylabel=r'$\\sigma [e^2/h]$'\n", ");\n" ] }, { "cell_type": "markdown", "id": "a3a5d7c4-8b9d-46b9-8594-d2b9af1d189c", "metadata": {}, "source": [ "## Use open boundary velocity operators\n", "(in a periodic system..! don't expect correct results)" ] }, { "cell_type": "code", "execution_count": 6, "id": "2ec4d5a7-7014-4ae2-b6c9-3161f36ba643", "metadata": {}, "outputs": [], "source": [ "s_factory = kwant.kpm.LocalVectors(fsyst, where=None)\n", "vectors = list(s_factory)\n", "num_vectors = len(vectors)\n", "\n", "# number of sites per vector\n", "norm_v = np.linalg.norm(vectors[0]) ** 2\n", "\n", "cond_xx = kwant.kpm.conductivity(\n", " fsyst, params=params,\n", " bounds=bounds,\n", " alpha='x',\n", " beta='x',\n", " mean=False,\n", " num_vectors=num_vectors,\n", " vector_factory=vectors)\n", "\n", "cond_xy = kwant.kpm.conductivity(\n", " fsyst, params=params,\n", " alpha='x',\n", " beta='y',\n", " mean=False, \n", " num_vectors=num_vectors,\n", " vector_factory=vectors\n", ")\n", "\n", "energies = cond_xx.energies\n", "cond_array_xx = np.array([cond_xx(e, temperature=0.0) for e in energies]).real\n", "cond_array_xy = np.array([cond_xy(e, temperature=0.0) for e in energies]).real\n", "\n", "# area of the unit cell per site\n", "area_per_site = np.abs(np.cross(*lat.prim_vecs)) / len(lat.sublattices)\n", "cond_array_xx /= area_per_site\n", "cond_array_xy /= area_per_site\n", "\n", "cond_array_xx = cond_array_xx / norm_v\n", "cond_array_xy = cond_array_xy / norm_v" ] }, { "cell_type": "code", "execution_count": 7, "id": "2d3e0895-cb28-488b-ab37-cf1a1eb2ee3d", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spectrum = kwant.kpm.SpectralDensity(fsyst, params=params)\n", "\n", "plot_dos_and_curves(\n", " (spectrum.energies, spectrum.densities.real / (lx * ly / 3)),\n", " [\n", " (r'Longitudinal conductivity $\\sigma_{xx} / L_x$',\n", " (spectrum.energies, cond_array_xx.mean(1) / (lx))),\n", " (r'Hall conductivity $\\sigma_{xy}$',\n", " (spectrum.energies, cond_array_xy.mean(1)))],\n", " ylabel=r'$\\sigma [e^2/h]$'\n", ");" ] } ], "metadata": { "jupytext": { "formats": "ipynb,md", "text_representation": { "extension": ".md", "format_name": "markdown", "format_version": "1.2", "jupytext_version": "1.9.1" } }, "kernelspec": { "display_name": "kt", "language": "python", "name": "kt" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }