py.guanjihuan.com/Tutorial/9_Chern_number.py
2021-06-24 09:20:23 +08:00

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Python

import guan
import numpy as np
from math import *
def hamiltonian_function(kx, ky): # one QAH model with chern number 2
t1 = 1.0
t2 = 1.0
t3 = 0.5
m = -1.0
hamiltonian = np.zeros((2, 2), dtype=complex)
hamiltonian[0, 1] = 2*t1*cos(kx)-1j*2*t1*cos(ky)
hamiltonian[1, 0] = 2*t1*cos(kx)+1j*2*t1*cos(ky)
hamiltonian[0, 0] = m+2*t3*sin(kx)+2*t3*sin(ky)+2*t2*cos(kx+ky)
hamiltonian[1, 1] = -(m+2*t3*sin(kx)+2*t3*sin(ky)+2*t2*cos(kx+ky))
return hamiltonian
chern_number = guan.calculate_chern_number_for_square_lattice(hamiltonian_function, precision=100)
print(chern_number)