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@rpmuller
Created May 30, 2013 01:31
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Tight Binding program to compute the band structure of simple semiconductors. Expands on the basic Harrison parameters. Parameters taken from Vogl, Hjalmarson and Dow, [A Semiempirical Tight-Binding Theory of the Electronic Structure of Semiconductors](http://www.sciencedirect.com/science/article/pii/0022369783900641), J. Phys. Chem. Sol. 44 (5)…
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{
"metadata": {
"name": "Harry Tight Binding"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": "# Tight Binding program to compute the band structure of simple semiconductors.\n \nParameters taken from Vogl, Hjalmarson and Dow,\n[A Semiempirical Tight-Binding Theory of the Electronic Structure\nof Semiconductors](http://www.sciencedirect.com/science/article/pii/0022369783900641), \nJ. Phys. Chem. Sol. 44 (5), pp 365-378 (1983)."
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The Materials Database from Harry's paper."
},
{
"cell_type": "code",
"collapsed": false,
"input": "from numpy.linalg import eigvalsh\nfrom collections import namedtuple\n\nMaterial = namedtuple('Material',['name','Esa','Epa','Esc','Epc','Essa','Essc','Vss','Vxx','Vxy','Vsapc','Vscpa','Vssapc','Vpassc'])\n\nC = Material('C' , -4.5450, 3.8400, -4.5450, 3.8400, 11.3700, 11.3700, -22.7250, 3.8400, 11.6700, 15.2206, 15.2206, 8.2109, 8.2109)\nSi = Material('Si' , -4.2000, 1.7150, -4.2000, 1.7150, 6.6850, 6.6850, -8.3000, 1.7150, 4.5750, 5.7292, 5.7292, 5.3749, 5.3749)\nGe = Material('Ge' , -5.8800, 1.6100, -5.8800, 1.6100, 6.3900, 6.3900, -6.7800, 1.6100, 4.9000, 5.4649, 5.4649, 5.2191, 5.2191)\nSn = Material('Sn' , -5.6700, 1.3300, -5.6700, 1.3300, 5.9000, 5.9000, -5.6700, 1.3300, 4.0800, 4.5116, 4.5116, 5.8939, 5.8939)\nSiC = Material('SiC' , -8.4537, 2.1234, -4.8463, 4.3466, 9.6534, 9.3166, -12.4197, 3.0380, 5.9216, 9.4900, 9.2007, 8.7138, 4.4051)\nAlP = Material('AlP' , -7.8466, 1.3169, -1.2534, 4.2831, 8.7069, 7.4231, -7.4535, 2.3749, 4.8378, 5.2451, 5.2775, 5.2508, 4.6388)\nAlAs = Material('AlAs' , -7.5273, 0.9833, -1.1627, 3.5867, 7.4833, 6.7267, -6.6642, 1.8780, 4.2919, 5.1106, 5.4965, 4.5216, 4.9950)\nAlSb = Material('AlSb' , -6.1714, 0.9807, -2.0716, 3.0163, 6.7607, 6.1543, -5.6448, 1.7199, 3.6648, 4.9121, 4.2137, 4.3662, 3.0739)\nGaP = Material('GaP' , -8.1124, 1.1250, -2.1976, 4.1150, 8.5150, 7.1850, -7.4709, 2.1516, 5.1369, 4.2771, 6.3190, 4.6541, 5.0950)\nGaAs = Material('GaAs' , -8.3431, 1.0414, -2.6569, 3.6686, 8.5914, 6.7386, -6.4513, 1.9546, 5.0779, 4.4800, 5.7839, 4.8422, 4.8077)\nGaSb = Material('GaSb' , -7.3207, 0.8554, -3.8993, 2.9146, 6.6354, 5.9846, -6.1567, 1.5789, 4.1285, 4.9601, 4.6675, 4.9895, 4.2180)\nInP = Material('InP' , -8.5274, 0.8735, -1.4826, 4.0465, 8.2635, 7.0665, -5.3614, 1.8801, 4.2324, 2.2265, 5.5825, 3.4623, 4.4814)\nInAs = Material('InAs' , -9.5381, 0.9099, -2.7219, 3.7201, 7.4099, 6.7401, -5.6052, 1.8398, 4.4693, 3.0354, 5.4389, 3.3744, 3.9097)\nInSb = Material('InSb' , -8.0157, 0.6738, -3.4643, 2.9162, 6.4530, 5.9362, -5.5193, 1.4018, 3.8761, 3.7880, 4.5900, 3.5666, 3.4048)\nZnSe = Material('ZnSe' ,-11.8383, 1.5072, 0.0183, 5.9928, 7.5872, 8.9928, -6.2163, 3.0054, 5.9942, 3.4980, 6.3191, 2.5891, 3.9533)\nZnTe = Material('ZnTe' , -9.8150, 1.4834, 0.9350, 5.2666, 7.0834, 8.2666, -6.5765, 2.7951, 5.4670, 5.9827, 5.8199, 1.3196, 0.0000)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": "def phase_factors(kx,ky,kz):\n kx *= pi/2\n ky *= pi/2\n kz *= pi/2\n g0 = cos(kx)*cos(ky)*cos(kz) - sin(kx)*sin(ky)*sin(kz)*1j\n g1 = -cos(kx)*sin(ky)*sin(kz) + sin(kx)*cos(ky)*cos(kz)*1j\n g2 = -sin(kx)*cos(ky)*sin(kz) + cos(kx)*sin(ky)*cos(kz)*1j\n g3 = -sin(kx)*sin(ky)*cos(kz) + cos(kx)*cos(ky)*sin(kz)*1j\n return g0,g1,g2,g3",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": "def get_H(kx,ky,kz,id):\n \"\"\"Form the Hamiltonian.\n \"\"\"\n g0,g1,g2,g3 = phase_factors(kx,ky,kz)\n g0s = g0.conjugate()\n g1s = g1.conjugate()\n g2s = g2.conjugate()\n g3s = g3.conjugate()\n\n # Use the same basis order as Harry did:\n # sa,sc,pxa,pya,pza,pxc,pyc,pzc,ssa,ssc\n # 0, 1, 2, 3, 4, 5, 6, 7, 8, 9\n H = zeros((10,10),'D')\n\n # Diagonal\n H[0,0] = id.Esa\n H[1,1] = id.Esc\n H[2,2] = H[3,3] = H[4,4] = id.Epa\n H[5,5] = H[6,6] = H[7,7] = id.Epc\n H[8,8] = id.Essa\n H[9,9] = id.Essc\n\n # Off diagonal, lower triangle\n H[1,0] = id.Vss*g0s\n H[5,0] = id.Vsapc*g1s\n H[6,0] = id.Vsapc*g2s\n H[7,0] = id.Vsapc*g3s\n\n H[2,1] = -id.Vscpa*g1\n H[3,1] = -id.Vscpa*g2\n H[4,1] = -id.Vscpa*g3\n\n H[5,2] = id.Vxx*g0s\n H[6,2] = id.Vxy*g3s\n H[7,2] = id.Vxy*g2s\n H[9,2] = -id.Vpassc*g1s\n\n H[5,3] = id.Vxy*g3s\n H[6,3] = id.Vxx*g0s\n H[7,3] = id.Vxy*g1s\n H[9,3] = -id.Vpassc*g2s\n\n H[5,4] = id.Vxy*g2s\n H[6,4] = id.Vxy*g1s\n H[7,4] = id.Vxx*g0s\n H[9,4] = -id.Vpassc*g3s\n\n H[8,5] = id.Vssapc*g1\n\n H[8,6] = id.Vssapc*g2\n\n H[8,7] = id.Vssapc*g3\n\n # I believe that Harry just sets Vss,ss to zero:\n H[9,8] = 0\n\n # Off diagonal, upper triangle\n for i in range(10):\n for j in range(i):\n H[j,i] = H[i,j].conjugate()\n\n return H",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": "def get_k_points(n):\n # Define a set of k points along the Brillouin zone boundary from\n # L (0.5,0.5,0.5) to Gamma (0,0,0) to X (1.,0.,0.). Space the points\n # evenly, based on the scaling parameter n.\n kpoints = []\n step = 0.5/float(n)\n kx,ky,kz = 0.5,0.5,0.5 # Start at the L point (1/2,1/2,1/2)\n kpoints.append((kx,ky,kz))\n for i in range(n): # Move to the Gamma point (0,0,0)\n kx,ky,kz = kx-step,ky-step,kz-step\n kpoints.append((kx,ky,kz))\n for i in range(n): # Now go to the X point (1,0,0)\n kx = kx+2.*step\n #ky = ky+2.*step \n kpoints.append((kx,ky,kz))\n kx = ky = 1.0 # Jump to the U,K point\n kz = 0.0\n kpoints.append((kx,ky,kz))\n for i in range(n): # Now go back to Gamma\n kx = kx - 2.*step\n ky = ky - 2.*step\n kpoints.append((kx,ky,kz))\n return kpoints",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": "def band_labels(n):\n axvline(x=n,color='k')\n axvline(x=2*n,color='k')\n axvline(x=2*n+1,color='k')\n #xticks((0,n,2*n,2*n+1,3*n+1),('L','G','X','U','G'))\n xticks((0,n,2*n,2*n+1,3*n+1),('L',r\"$\\Gamma$\",'X','U',r\"$\\Gamma$\"))\n return",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": "def band(id,n=10):\n data = []\n kpts = get_k_points(n)\n for kx,ky,kz in kpts:\n H = get_H(kx,ky,kz,id)\n E = eigvalsh(H).real\n data.append(E)\n data = array(data)\n for i in range(10):\n plot(data[:,i])\n band_labels(n)\n axis(xmax=3*n+1)\n title(\"Band structure for %s\" % id.name)\n ylabel(\"E (eV)\")\n savefig(\"%s-band-harry.png\" % id.name)\n show()\n return",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": "figsize(8,6)\nband(Si)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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CkSPnQhxojoumLFxNboDEHp96NrkVkBeopEfcUAaFDWJQqLzF+cehdLmy02j2co5dkiTq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\nQmCC\n"
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": "band(GaAs)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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P/fSM7enupLUoUuyey8mSk/x2/W/Zkb2Dl0e+zMweM91fm+p0Kve4P/0JNBpF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}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": "",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
}
],
"metadata": {}
}
]
}
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