diff options
author | Ian Jauslin <jauslin@ias.edu> | 2017-03-30 02:47:52 +0000 |
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committer | Ian Jauslin <jauslin@ias.edu> | 2017-03-30 03:05:27 +0000 |
commit | c91fccd07c9ba1753d7006482512352423046c74 (patch) | |
tree | 02927b499ba5217409644bd092f17887a74e5db9 /figs/bands_first.fig/bands_first.py |
Diffstat (limited to 'figs/bands_first.fig/bands_first.py')
-rw-r--r-- | figs/bands_first.fig/bands_first.py | 56 |
1 files changed, 56 insertions, 0 deletions
diff --git a/figs/bands_first.fig/bands_first.py b/figs/bands_first.fig/bands_first.py new file mode 100644 index 0000000..980d3b3 --- /dev/null +++ b/figs/bands_first.fig/bands_first.py @@ -0,0 +1,56 @@ +#!/usr/bin/env python + +## compute the bands for bilayer graphene (no g4 or delta) +## first regime + +from math import * +import cmath +import numpy + +g1=0.1 +g3=0.33*g1 + +def Omega(x,y): + return(1+2*cmath.exp(-3j/2*x)*cos(sqrt(3)/2*y)) + +# Hamiltonian +def H(x,y): + return(numpy.array(\ + [[0,g1,0,Omega(x,y).conjugate()],\ + [g1,0,Omega(x,y),0],\ + [0,Omega(x,y).conjugate(),0,g3*Omega(x,y)*cmath.exp(3j*x)],\ + [Omega(x,y),0,g3*(Omega(x,y).conjugate())*cmath.exp(-3j*x),0]]\ + )) + +# eigenvalues +def eigsH(x,y): + return(numpy.linalg.eigvals(H(x,y))) + + +# resolution +nrpoints=31 +# xrange +xmin,xmax=2*pi/3-1.5,2*pi/3+1.5 +# yrange +ymin,ymax=2*pi/3/sqrt(3)-1.5,2*pi/3/sqrt(3)+1.5 + +# sample points +x=numpy.linspace(xmin,xmax,nrpoints) +y=numpy.linspace(ymin,ymax,nrpoints) +x,y=numpy.meshgrid(x,y) + +# data points +z=numpy.zeros((4,nrpoints,nrpoints)) +for i in range(0,nrpoints): + for j in range(0,nrpoints): + eigs=numpy.sort(numpy.real(eigsH(x[i,j],y[i,j]))) + for k in range(0,4): + z[k,i,j]=(eigs[k]) + +# output +for i in range(0,nrpoints): + for j in range(0,nrpoints): + for k in range(0,4): + print("%10f %10f %10f %d " % (x[i,j],y[i,j],z[k,i,j],k),end='') + print() + print() |