{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting Density of States\n", "In this short tutorial we will inspect the basic features of the `DoS` module of PyBigDFT.\n", "We employ two runs as demonstrator of the comparison between two runs.\n", "A Bulk run of a `AlN` system, followed by a Vacancy run.\n", "The Vacancy is also provided with a Spin Collinear run, for comparison." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from BigDFT import Logfiles as L\n", "Vacancy = L.Logfile('/home/genovese/Downloads/VN2_last.log')\n", "Bulk = L.Logfile('/home/genovese/Downloads/AlN_last.log')\n", "VacancySpin = L.Logfile('/home/genovese/Downloads/VNspin_last.log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Description of the tests done\n", "We will shot how to\n", "1. Plot the DoS with the `plot` commodity function;\n", "2. Get the curves from a get_curve function;\n", "4. Handle those curves for external plotting;\n", "3. Shifts the values of the curves wrt to a constant, or a dictionary of shifts;\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simple plots of the two runs\n", "We here show how the two runs behave." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax=Bulk.get_dos().plot()\n", "_=ax.set_title('Bulk',fontsize=18)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax=Vacancy.get_dos().plot()\n", "_=ax.set_title('Vacancy',fontsize=18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot a DoS of a collinear Spin calculation" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_=VacancySpin.get_dos().plot().set_title('Vacancy, Collinear Spin')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from BigDFT.DoS import DoS\n", "dosspin = DoS(logfiles_dict={'SA':Vacancy, 'SC':VacancySpin})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the modification of the labels from the original definition." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_=dosspin.plot().legend(loc='best')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['SA', 'SCup', 'SCdw']" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(dosspin.get_curves().keys())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot of the two DoS together\n", "We would like to compare the two runs. It is possible to instanciate a `DoS` class." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from BigDFT.DoS import DoS\n", "dos = DoS(logfiles_dict={'Vacancy': Vacancy, 'Bulk': Bulk},\n", " fermi_level=Vacancy.fermi_level,units='AU') # last two as an option" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dos.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above plot show the tow DoS together. We may select a region:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(8, 160, 'Note the fermi_level here')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dos.set_range(e_min=2.0,e_max=10.0)\n", "ax= dos.plot()\n", "ax.legend(loc='best')\n", "ax.set_title('Plot with two DoS, aligned and cropped')\n", "ax.annotate('Note the fermi_level here', xytext=(8,160), xy=(dos.ef,100), arrowprops = dict(arrowstyle='->'))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(6, 8)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax= dos.plot()\n", "ax.legend(loc='best')\n", "ax.set_title('Plot with two DoS, cropped externally')\n", "ax.set_xlim([6,8])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Handle the curves explicitly\n", "Perform the difference between the curves and plot it" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "dos.set_range(e_min=-100,e_max=100) # restore full range\n", "curves = dos.get_curves()\n", "x,yB = curves['Bulk']\n", "x,yV = curves['Vacancy']\n", "plt.plot(x,yV-yB,label='DoS differences')\n", "plt.legend(loc='best')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Shift the curves and plot them shifted" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Full plot with dos shifted')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dos.shift_curves([0.0,1.0])\n", "ax=dos.plot()\n", "ax.set_title('Full plot with dos shifted')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Handle curves from spin-polarized calculations\n", "We show also an example on customized plots where DoS differences are plot next to the original curves." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "curves = dosspin.get_curves()\n", "differences = {'up-down': curves['SCup'].y + curves['SCdw'].y,\n", " 'Noncollinear-Collinear': curves['SA'].y - curves['SCup'].y}\n", "x = dosspin.range" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "fig, (axT, axD) = plt.subplots(1,2,figsize=(12,4))\n", "dosspin.plot(ax=axT)\n", "axT.legend(loc='best')\n", "axT.set_title('Total DoS')\n", "for label, curve in differences.items():\n", " axD.plot(x,curve,label=label)\n", "axD.legend(loc='best')\n", "axD.set_title('Difference')\n", "fig.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 4 }