diff --git a/Final/Final - Tight-binding propagation method.ipynb b/Final/Final - Tight-binding propagation method.ipynb index 5936691..915da01 100644 --- a/Final/Final - Tight-binding propagation method.ipynb +++ b/Final/Final - Tight-binding propagation method.ipynb @@ -987,55 +987,7 @@ "outputs": [ { "data": { - "image/png": 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IpeAoMjO7GkgCTi9ovruPBcYCJCUleRRLE5EoWLRhFz9/LYU1W/dx25mduHNw57h7Cl+QYik40oE2EeOtw9MOY2aDgfuA0939QJRqE5EY4O68+GUqf5q5lAa1qvLKjQMY1EnPyIi2WAqO2UBnM+tAKDCuBK6KXMDMEoF/A0PcfXP0SxSRoGzfd5C7J8/nwyWbObtrMx69vA+NalcLuqy4FDPB4e45ZnYb8B6hy3Gfd/dFZvYgkOzu04FHgTrApHDj1zp3vziwokUkKr5atY07X09hx75sHriwO9ef3F4N4AGKmeAAcPeZwMx80x6IGB4c9aJEJDA5uXk88dEKnv5kJR0a12bciH70TNBltkGLqeAQETkkbUcmd06cR/LaHVx2Ymv+cHEPautpfDFB/wsiEnNmfZfBPW8uIM/hiSv7MrRvQtAlSQQFh4jEjKzsXB6csZhXv1lHn9b1eXJ4Iu0a1w66LMlHwSEiMWHZxj38/LW5LN+0l5tP68gvf9SFalV0b0YsUnCISKDcnVe+WcdDMxZTt0YVJtzQn9OObxp0WXIECg4RCcyuzGzufWsBsxZu5NTOTfjbT/rStG71oMuSo1BwiEggZqdu547XUti85wC/Pq8rN53akUqVdG9GeaDgEJGoys1znvlkJY9/uJzWDWvx5i2D9CjXckbBISJRs3FXFne+nsLXq7cztG8rHr6kJ3VrVA26LCkmBYeIRMUHizdx1+T5HMzJ47HL+/DjExLUbUg5peAQkTKVlZ3LmFlLefHLVHq0qseTwxM5rmmdoMuSElBwiEiZWbl5Lz9/LYUlGbu5/uT23HteV6pXqRx0WVJCCg4RKXXuzqTkNH43fRE1q1Vm3Igkzu7WPOiypJQoOESkVO3Oyua+KQt5e/4GTurYmMev7EvzejWCLktKkYJDREpNyrod3D4xhQ07s7jr3C6MPv04KuvejApHwSEiJZaX5/z7s9X89f1lNK9XgzduHsiJ7RoFXZaUEQWHiJTI1r0HuHPiPL5YuZXze7XgT5f2pn5N3ZtRkSk4ROSYLcnYzcjxyWzde4BHhvVieP82ujcjDig4ROSYvL9oI3e+Po+6NaowefQgerXWI13jhYJDRIrF3fnnf1bx6HvL6J1Qn7HXJumqqTij4BCRIsvKzuU3b33HWynpXNSnFY9e1psaVXVDX7xRcIhIkWzek8XNL80hZd1OfnHO8fz8rE5qz4hTCg4ROapFG3Zx0/hkdmRm88+fnsB5vVoGXZIESMEhIkf07sKN/N/r86hfsyqTRp9EzwQ1gse7mHoSvJkNMbNlZrbSzO4tYP5pZjbXzHLM7LIgahSJF+6hBy6NfnkOx7eoy/TbTlZoCBBDRxxmVhl4BjgHSANmm9l0d18csdg64DrgV9GvUCR+ZGXncs+bC5g2bwND+7bizz9WI7j8T8wEB9AfWOnuqwHMbCIwFPg+ONw9NTwvL4gCReLB5j1ZjJowh3nrd3LXuV249Yzj1Aguh4ml4EgA1keMpwEDjmVFZjYKGAXQtm3bklcmEicWpu/ipgnJ7MzM5l9Xn8iQni2CLkliUEy1cZQWdx/r7knuntS0adOgyxEpF2Z9l8Hl//oKAybfcpJCQwoVS0cc6UCbiPHW4WkiUobcnac+XsnfPlhOYtsG/PuaE2lWV3eCS+FiKThmA53NrAOhwLgSuCrYkkQqtqzsXO6avIC3529gWGICf7q0lxrB5ahiJjjcPcfMbgPeAyoDz7v7IjN7EEh29+lm1g+YAjQELjKzP7h7jwDLFim3Nu3OYtSEZBak7+LuIV245XQ1gkvRxExwALj7TGBmvmkPRAzPJnQKS0RK4Lu0UCP47qxs/n31ifyoh9ozpOhiKjhEpOy9syCDX06aR+Pa1Zk8ehDdW9ULuiQpZxQcInHC3Xnyo5X8/cPlnNiuIf+6+kSa1q0edFlSDik4ROLA/oO5/GryfN5ZkMGlJ4QawatXUSO4HBsFh0gFt3FXFqNeSua79F3ce15Xbj6toxrBpUQUHCIV2IK0nYwcn8y+AzmMvSaJc7o3D7okqQAUHCIV1NvzN/CrSfNpWrc6E24cRNcWagSX0qHgEKlg8vKcxz9awZMfrSCpXUP+dc2JNKmjRnApPQoOkQpk/8FcfjlpHjO/28hlJ7bmj8N6qhFcSp2CQ6SCyNi1n5smJLNow27uO78bI0/toEZwKRMKDpEKYN76nYyakEzmwVzGjUjirK5qBJeyo+AQKeemzUvn7skLaFavOi+PHMDxzesGXZJUcAoOkXIqL8/5+4fLeerjlfRv34h/Xn0CjdUILlGg4BAph7Kyc/nVpPnMWJDBFUlteOiSnlSrUiGfyyYxSMEhUs7s2HeQmyYkk7x2h+4El0AoOETKkdSt+7j+xdmk79zP01clcmHvVkGXJHFIwSFSTsxZu52bJszB3Xl15ACS2jcKuiSJUwoOkXLgnQUZ/N8b82hVvwYvXt+f9k1qB12SxDEFh0gMc3fGfraaP81aSlK7hoy9NolGtasFXZbEOQWHSIzKyc3jd9MX8co367igd0v+enkfalRV9yESPAWHSAzaeyCH216dy6fLtjD69OO4+9wuVKqkK6ckNig4RGLMxl1Z3PDibJZt2sMjw3px1YC2QZckchgFh0gMWZKxmxtenM3u/dmMG5HEGV2aBV2SyA8cU3CYWXegHfCdu6eVbkki8emz5Vu49ZW51KlehUmjB9G9lR68JLHpWPso+ANQFxhlZuNLsR6RuDTx23Vc/+JsWjesyZSfKTQkth3rqaoP3P0N4I3SLMbMhgBPAJWB59x9TL751YEJwInANuAKd08tzRpEoikvz/nrB8t45pNVnHZ8U565KpG6NaoGXZbIER1rcAwK7+S3AUvc/W8lLcTMKgPPAOcAacBsM5vu7osjFrsR2OHunczsSuDPwBUl3bZIELKyc7lr8gLenr+B4f3b8ODQnlStrI4KJfYda3AsdPfHzKwK0KOUaukPrHT31QBmNhEYCkQGx1Dg9+HhycDTZmbu7qVUg0hU7Nh3kFEvJTM7dQf3DOnK6NPVUaGUH8caHBea2U7gM3efX0q1JADrI8bTgAGFLePuOWa2C2gMbI1cyMxGAaMA2rbVpYwSW9Zu28d1L4Q6KnxqeCIX9VFHhVK+HPW42MwKOqK4gtAOfJiZPVvqVZWQu4919yR3T2ratGnQ5Yh8b87aHQz7x5fsyDzIKyMHKDSkXCrKCdWXDg2Y2UgAd9/k7u8BT7n7TaVUSzrQJmK8dXhagcuET5PVJ9TOIhLzZn6XwVXPfk3dGlWYcuvJ9FPvtlJOFSU4Ik+83ppv3uelWMtsoLOZdTCzasCVwPR8y0wHRoSHLwM+VvuGxLpQR4WruPWVufRoVY+3bhlEB/VuK+VYUdo4InfM+VvvSu0SkHCbxW3Ae4Qux33e3ReZ2YNAsrtPB8YBL5nZSmA7oXARiVk5uXn8/u1FvPz1Oi7o1ZK//kQdFUr5V5TgaGFm1wHz+WFwlOq3fXefCczMN+2BiOEs4PLS3KZIWdkX7qjwk2VbuPn0jtxzbld1VCgVQlGC4/eEbri7HmhtZouBJcBSoEnZlSZSfm3aHeqocEnGbh6+pCdXD2wXdEkipeaoweHuYyPHzaw10AvoDXxWRnWJlFtLN+7m+hdms2t/NuNG9OPMruqoUCqWYt/HEe7UMA2YVfrliJRvn6/Ywi0vz6V29cq8cfNJ9EyoH3RJIqVO3aqLlJLXZ6/jvikL6dSsDi9c34+W9WsGXZJImVBwiJSQu/PX95fz9CcrObVzE/7x0xPUUaFUaAoOkRI4kJPL3ZMXMG3eBq7s14aHLlFHhVLxKThEjtGOfQe5+aU5fJu6nbvO7cKtZxynjgolLig4RI7B2m37uP6F2aTt2M+TwxO5WH1OSRxRcIgU0+zU7dz80hzy3Hl55AD6d1CfUxJfFBwixfBG8nrum/IdrRvWYtyIJDo2rRN0SSJRp+AQKYLcPGfMrCU8+/kaTunUhGeuOoH6tXTllMQnBYfIUezJyuaOifP4eOlmrj2pHb+9sLuunJK4puAQOYJ12zIZOWE2q7bs46FLenKN+pwSUXCIFOab1dsY/fIc8hwm3NCfkzupT08RUHCIFOj12eu4f+pC2jSqxbgR/fTgJZEICg6RCLl5ziMzlzDuizWc2rkJT191AvVrqhFcJJKCQyRsd1Y2t7+WwqfLtnDdoPbcf0E3qqgRXOQHFBwihO4Ev3F8Mqlb9/HHYT356QA1gosURsEhce+rVdu45ZU5uMOEG/sz6Dg1gosciYJD4tpr367jt1MX0q5xqBG8vRrBRY5KwSFxKSc3jz/OXMIL/03ltOOb8vRVidTTMzREikTBIXFnd1Y2t72awmfLt3D9ye2573w1gosUh4JD4krq1n3cOH42a7dl8qdLezG8f9ugSxIpdxQcEje+XLWVW16eSyWDl0cOYGDHxkGXJFIuxcTxuZk1MrMPzGxF+N+GhSz3rpntNLMZ0a5RyrdXvlnLteO+pVnd6kz72SkKDZESiIngAO4FPnL3zsBH4fGCPApcE7WqpNzLyc3j99MXcd+UhZzSuQlv3jqIto1rBV2WSLkWK8ExFBgfHh4PXFLQQu7+EbAnSjVJObdrfzbXvzibF79MZeQpHRg3op+unBIpBbHSxtHc3TPCwxuB5iVZmZmNAkYBtG2rxs94tCbcCL5+eyZ//nEvruinz4FIaYlacJjZh0CLAmbdFzni7m5mXpJtuftYYCxAUlJSidYl5c9/V27l1lfCjeA3DmCA2jNESlXUgsPdBxc2z8w2mVlLd88ws5bA5mjVJRXLS1+l8vu3F3Nc09qMG9GPNo3UniFS2mKljWM6MCI8PAKYFmAtUg7l5ObxwLSF/HbaIk4/vilv3jJIoSFSRmIlOMYA55jZCmBweBwzSzKz5w4tZGafA5OAs80szczODaRaiSm7MrO57oXZTPhqLaNO68iz1yZRV43gImUmJhrH3X0bcHYB05OBkRHjp0azLol9q7bsZeT4ZNJ2ZPLoZb25PKlN0CWJVHgxERwix+LzFVv42StzqVK5Eq/eNJB+7RsFXZJIXFBwSLk04atU/vD2Yjo1rcNzI5LUniESRQoOKVeyc/P4w9uLePnrdQzu1ozHr0ykTnV9jEWiSX9xUm5s3JXFHRNT+GbNdm4+vSN3n9uVypUs6LJE4o6CQ8qFj5Zs4leT5pOVncffftKHS09oHXRJInFLwSEx7UBOLn+auZQXv0ylW8t6PDU8kU7N6gRdlkhcU3BIzFq1ZS8/fzWFxRm7uW5Qe+49rys1qlYOuiyRuKfgkJjj7kyek8bvpi+iepVKPHdtEoO7l6jfSxEpRQoOiSl7srK5b8pCps/fwMCOjXj8ikRa1K8RdFkiEkHBITFj3vqd3P5aCuk79/OrHx3PLWd00lVTIjFIwSGBy8tzxn6+msfeW0bzejV44+aBnNhOd4GLxCoFhwRq854sfvnGfD5fsZXzerZgzKW9qV9LHRSKxDIFhwTmP8u38Ms35rEnK4dHhvVieP82mOnUlEisU3BI1B3MyeOx95cx9rPVdGlel1dvGsjxzesGXZaIFJGCQ6Jq7bZ93P5aCvPTdnH1wLbcf0F33ZshUs4oOCRqpqakc//UhVQy+NfVJzCkZ8ugSxKRY6DgkDK370AOD0xbxJtz0+jXviGPX5lIQoOaQZclIsdIwSFlamH6Lm5/LYXUbfu4/ezO3H5WJ6pUjpUnFovIsVBwSJlwd57/byp/nrWURrWr8epNAxnYsXHQZYlIKVBwSKnbtvcAd01ewMdLNzO4W3Mevaw3DWtXC7osESklCg4pVV+u3Mqdr89j5/5s/nBxD649qZ3uzRCpYBQcUiqyc/N4/MPl/OPTVXRsUpsXr+9P91b1gi5LRMqAgkNKbP32TO6YmMLcdTu5IqkNv7u4O7Wq6aMlUlHpr1tK5J0FGdz71gJweGp4Ihf1aRV0SSJSxmIiOMysEfA60B5IBX7i7jvyLdMX+CdQD8gF/ujur0e1UPne/oO5PDhjEa99u56+bRrw1PBE2jSqFXRZIhIFsXJB/b3AR+7eGfgoPJ5fJnCtu/cAhgCPm1mD6JUohyzduJuLnv6CibPXc8sZxzFp9EkKDZE4EhNHHMBQ4Izw8HjgU+CeyAXcfXnE8AYz2ww0BXZGpULB3Xn567U89M4S6tesyks3DOCUzk2CLktEoixWgqO5u2eEhzcCR3zAtJn1B6oBqwqZPwoYBdC2bdtSLDN+7dh3kHvfWsB7izZxRpemPHZ5H5rUqR50WSISgKgFh5l9CLQoYNZ9kSPu7mbmR1hPS+AlYIS75xW0jLuPBcYCJCUlFbouObrs3Dxe/WYdj3+4nL0Hcrj/gm7ccHIHKumRriJxK2rB4e6DC5tnZpvMrKW7Z4SDYXMhy9UD3gHuc/evy6hUCft02WYefmcJKzfv5aSOjXngou50a6l7M0TiXaycqpoOjADGhP+dln8BM6sGTAEmuPvk6JYXX1Zs2sPD7yzhP8u30L5xLcZecyLndG+uO8BFBIid4BgDvGFmNwJrgZ8AmFkSMNrdR4annQY0NrPrwr93nbvPi365FdP2fQd5/MPlvPLNOmpVq8z9F3Tj2pPaU61KrFx8JyKxwNwrdhNAUlKSJycnB11GTDuYk8eEr1J54qMVZB7M5acD2nLn4ONppI4JReKWmc1x96SC5sXKEYcEwN35YPEmHpm5hNRtmZx+fFPuv6AbnfX8bxE5AgVHnFq8YTcPzVjMV6u30alZHV64vh9ndmkWdFkiUg4oOOLM5j1Z/O395byevJ4GNavy4NAeDO/flqp6Kp+IFJGCI05kZefy/H/X8MzHKzmQk8cNJ3fg9rM6U79W1aBLE5FyRsFRwbk7M7/byJ9mLSFtx37O6d6c35zfjQ5NagddmoiUUwqOCmxB2k4emrGY2ak76NqiLq+OHMCgTupbSkRKRsFRAW3clcVf3lvKW3PTaVKnGmMu7cXlSW2orG5CRKQUKDgqkP0Hc/n3Z6v4939Wk5vnjD79OH525nHUraF2DBEpPQqOCiAvz5k2P50/z1rGxt1ZXNCrJfee11XPyBCRMqHgKOfmrN3Og28vZn7aLnol1OfJ4Yn079Ao6LJEpAJTcJRTaTsyGTNrKTMWZNC8XnX+enkfhiUmqLtzESlzCo5yZu+BHP756Uqe/XwNlQxuP7szo0/vSK1q+q8UkejQ3qacyM1z3pyTxqPvL2PLngMMS0zgrnO70KpBzaBLE5E4o+AoB75atY2HZixmccZuTmjbgGevTaJvmwZBlyUicUrBEaO27T3AO99lMCUlnZR1O0loUJOnhidyYe+WeqCSiARKwRFDsrJz+WDxJqampPOf5VvIyXO6tazH/Rd04+qB7ahRtXLQJYqIKDiClpvnfLN6G1NS0pm1cCN7D+TQol4Nbjy1A8MSE+jaQs/4FpHYouAIyNKNu5mSks60lA1s3J1F3epVOL9XCy5JTGBAh8bqHkREYpaCI4oydu1n+rwNTElJZ+nGPVSpZJzRpSn3X9iNwd2a61SUiJQLCo4yticrm3cXbmRKSjpfrd6GO5zQtgEPDe3BBb1b6bneIlLuKDjKQHZuHp8t38KUlHQ+WLyJAzl5tG9cizvO7swlfRNor2dhiEg5puAoJe7OvPU7mZqSztsLMti+7yCNalfjyn5tuCQxgb5tGugyWhGpEBQcJZS6dR9T56UzNSWd1G2ZVK9SiXO6N2dYYgKnHd9Uz/IWkQpHwXEMtu87yDsLNvBW+OY8MzipY2N+dmYnhvRsoedfiEiFFhPBYWaNgNeB9kAq8BN335FvmXbAFKASUBV4yt3/Fa0as7Jz+XBJ6Oa8T5eFbs7r2qIuvz6vKxf3bUXL+uozSkTiQ0wEB3Av8JG7jzGze8Pj9+RbJgM4yd0PmFkdYKGZTXf3DWVVVF6e8/WabUyZ+8Ob8y7pm0C3lro5T0TiT6wEx1DgjPDweOBT8gWHux+MGK1O6MijzHy5ciu/nDSfjF1Z1KlehfN6tmBYYgIDOurmPBGJb7ESHM3dPSM8vBFoXtBCZtYGeAfoBNxV2NGGmY0CRgG0bdv2mApq06gW3VrW4zfnd+Oc7ro5T0TkEHP36GzI7EOgRQGz7gPGu3uDiGV3uHvDI6yrFTAVuMjdNx1pu0lJSZ6cnHxMNYuIxCszm+PuSQXNi9oRh7sPLmyemW0ys5bunmFmLYHNR1nXBjNbCJwKTC7lUkVE5Ahi5SaD6cCI8PAIYFr+BcystZnVDA83BE4BlkWtQhERAWInOMYA55jZCmBweBwzSzKz58LLdAO+MbP5wH+Ax9z9u0CqFRGJYzHROO7u24CzC5ieDIwMD38A9I5yaSIikk+sHHGIiEg5oeAQEZFiUXCIiEixKDhERKRYonYDYFDMbAuwNug6SqgJsDXoImKI3o/D6f34H70XhyvJ+9HO3ZsWNKPCB0dFYGbJhd3BGY/0fhxO78f/6L04XFm9HzpVJSIixaLgEBGRYlFwlA9jgy4gxuj9OJzej//Re3G4Mnk/1MYhIiLFoiMOEREpFgWHiIgUi4IjhplZGzP7xMwWm9kiM7sj6JqCZmaVzSzFzGYEXUvQzKyBmU02s6VmtsTMTgq6piCZ2f+F/04WmtlrZlYj6JqiycyeN7PN4WcVHZrWyMw+MLMV4X8LfUBecSg4YlsO8Et37w4MBH5mZt0DrilodwBLgi4iRjwBvOvuXYE+xPH7YmYJwO1Akrv3BCoDVwZbVdS9CAzJN+1e4CN37wx8FB4vMQVHDHP3DHefGx7eQ2jHkBBsVcExs9bABcBzR1u2ojOz+sBpwDgAdz/o7jsDLSp4VYCaZlYFqAVsCLieqHL3z4Dt+SYPBcaHh8cDl5TGthQc5YSZtQcSgW8CLiVIjwN3A3kB1xELOgBbgBfCp+6eM7PaQRcVFHdPBx4D1gEZwC53fz/YqmJCc3fPCA9vBJqXxkoVHOWAmdUB3gTudPfdQdcTBDO7ENjs7nOCriVGVAFOAP7p7onAPkrpNER5FD53P5RQoLYCapvZ1cFWFVs8dO9Fqdx/oeCIcWZWlVBovOLubwVdT4BOBi42s1RgInCWmb0cbEmBSgPS3P3QEehkQkESrwYDa9x9i7tnA28BgwKuKRZsMrOWAOF/N5fGShUcMczMjNA57CXu/reg6wmSu//a3Vu7e3tCjZ4fu3vcfqN0943AejPrEp50NrA4wJKCtg4YaGa1wn83ZxPHFwtEmA6MCA+PAKaVxkoVHLHtZOAaQt+u54V/zg+6KIkZPwdeMbMFQF/gkWDLCU74yGsyMBf4jtC+La66HzGz14CvgC5mlmZmNwJjgHPMbAWho7IxpbItdTkiIiLFoSMOEREpFgWHiIgUi4JDRESKRcEhIiLFouAQEZFiUXCIiEixKDhERKRYFBwiUWRmk8zsaTP7wszWmtkpZvaSmS03s3FB1ydSFFWCLkAkzvQCvnL328zsN4S6lDmDUE+3aWZW3d0PBFmgyNEoOESiJPxEugaEuoeHUE+l4w51e21mucDBQIoTKQadqhKJnh7AXHc/9DyRPoSfrxJ+SNUGVx9AUg4oOESipxcwP2K8N7AgPNwnYlgkpik4RKKnFzAPvj9tVdPdd4TnRYaISExT77giIlIsOuIQEZFiUXCIiEixKDhERKRYFBwiIlIsCg4RESkWBYeIiBSLgkNERIrl/wFYAs+TeXwweQAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -1047,26 +999,18 @@ } ], "source": [ + "plt.figure()\n", + "\n", "for n in [10, 20, 40, 80, 100]:\n", - " #print(\"For n = {}:\".format(n))\n", " H_tb = TBHamiltonian(n)\n", " E_m = QREig(H_tb + np.eye(n)) - 1\n", - " #print(\"E_m =\", E_m)\n", - " #print()\n", - " \n", - " plt.figure()\n", - " plt.plot(np.arange(len(E_m)) + 1, np.sort(E_m))\n", - " plt.title(\"Energy eigenvalues of $H_{{tb}}$ for $n = {}$\".format(n))\n", - " plt.xlabel(\"$m$\")\n", - " plt.ylabel(\"$E_m$\")\n", - " plt.show()\n", + " plt.plot(np.arange(len(E_m)) + 1, np.sort(E_m), label=\"n = {}\".format(n))\n", "\n", - "# Do your plotting here ...\n", - "\n", - "\n", - "# Yann had a plot with a couple of logisticly looking rising lines,\n", - "# starting at the same x point, but some higher starting y value,\n", - "# ending nonintersection some higher some lower." + "plt.legend()\n", + "plt.title(\"Energy eigenvalues of $H_{{tb}}$ for different chain lengths $n$\")\n", + "plt.xlabel(\"$m$\")\n", + "plt.ylabel(\"$E_m$\")\n", + "plt.show()" ] }, {