update

academic_codes/2021.12.27_Chern_numbers_of_Landau_levels/Chern_numbers_of_Landau_levels_in_honeycomb_lattice.py

@@ -1,57 +0,0 @@
-"""
-This code is supported by the website: https://www.guanjihuan.com
-The newest version of this code is on the web page: https://www.guanjihuan.com/archives/18306
-"""
-
-import numpy as np
-from math import *
-import cmath
-import functools
-import guan
-
-
-def hamiltonian(kx, ky, Ny, a, B):
-    h00 = np.zeros((4*Ny, 4*Ny), dtype=complex)
-    h01 = np.zeros((4*Ny, 4*Ny), dtype=complex)
-    t1= 1
-    M = 0
-    for i in range(Ny):
-        h00[i*4+0, i*4+0] = M
-        h00[i*4+1, i*4+1] = -M
-        h00[i*4+2, i*4+2] = M
-        h00[i*4+3, i*4+3] = -M
-        h00[i*4+0, i*4+1] = t1*cmath.exp(-2*pi*1j*B*(3*a*i+1/4*a)*(np.sqrt(3)/2*a))
-        h00[i*4+1, i*4+0] = np.conj(h00[i*4+0, i*4+1])
-        h00[i*4+1, i*4+2] = t1
-        h00[i*4+2, i*4+1] = np.conj(h00[i*4+1, i*4+2])
-        h00[i*4+2, i*4+3] = t1*cmath.exp(2*pi*1j*B*(3*a*i+7/4*a)*(np.sqrt(3)/2)*a)
-        h00[i*4+3, i*4+2] = np.conj(h00[i*4+2, i*4+3])
-    for i in range(Ny-1):
-        h00[i*4+3, (i+1)*4+0] = t1
-        h00[(i+1)*4+0, i*4+3] = t1
-    h00[(Ny-1)*4+3, 0+0] = t1*cmath.exp(1j*ky)
-    h00[0+0, (Ny-1)*4+3] = t1*cmath.exp(-1j*ky)
-    for i in range(Ny):
-        h01[i*4+1, i*4+0] = t1*cmath.exp(-2*pi*1j*B*(3*a*i+1/4*a)*(np.sqrt(3)/2*a))
-        h01[i*4+2, i*4+3] = t1*cmath.exp(-2*pi*1j*B*(3*a*i+7/4*a)*(np.sqrt(3)/2*a))
-    matrix = h00 + h01*cmath.exp(1j*kx) + h01.transpose().conj()*cmath.exp(-1j*kx)
-    return matrix
-
-
-def main():
-    Ny = 5
-    a = 1
-
-    k_array = np.linspace(-pi, pi, 100)
-    H_k = functools.partial(hamiltonian, ky=0, Ny=Ny, a=a, B=1/(3*a*Ny))
-    eigenvalue_array = guan.calculate_eigenvalue_with_one_parameter(k_array, H_k)
-    guan.plot(k_array, eigenvalue_array, xlabel='kx', ylabel='E', type='k')
-
-    H_k = functools.partial(hamiltonian, Ny=Ny, a=a, B=1/(3*a*Ny))
-    chern_number = guan.calculate_chern_number_for_square_lattice(H_k, precision=100)
-    print(chern_number)
-    print(sum(chern_number))
-
-
-if __name__ == '__main__':
-    main()

academic_codes/2021.12.27_Chern_numbers_of_Landau_levels/Chern_numbers_of_Landau_levels_in_square_lattice.py

@@ -25,7 +25,7 @@ def hamiltonian(kx, ky, Ny, B):
 
 
 def main():
-    Ny = 20
+    Ny = 21
 
     k_array = np.linspace(-pi, pi, 100)
     H_k = functools.partial(hamiltonian, ky=0, Ny=Ny, B=1/Ny)

academic_codes/2021.12.27_Chern_numbers_of_Landau_levels/quantum_transport_of_square_lattice_under_magnetic_fields_in_multi_lead_systems_with_guan.py

@@ -36,8 +36,8 @@ def get_center_hamiltonian(Nx, Ny, B):
 
 def main():
     start_time = time.time()
-    width = 20
+    width = 21
-    length = 70
+    length = 72
     fermi_energy_array = np.arange(-4, 4, .05)
 
     # 中心区的哈密顿量