lG11 = G(H1, w)
rG11 = inv(inv(g1) - tmm(tau12, g2, tau21))
lG22 = inv(inv(g2) - tmm(tau21, g1, tau12))
rG22 = G(H2, w)
fG11 = inv(inv(g1) - tmm(tau12, rG22, tau21))
fG22 = inv(inv(g2) - tmm(tau21, lG11, tau12))
fG12 = tmm(lG11, tau12, fG22)
fG21 = tmm(rG22, tau21, fG11)
fGF = np.block([[fG11, fG12], [fG21, fG22]])
A.append((-1 / np.pi) * np.imag(np.trace(fGF)))
pb.progressbar(w, w_list[0], w_list[-1])
plt.plot(w_list, A)
plt.title('Formula inversion, U = ' + str(U) + ', l_n = ' + str(l_n))
# plt.savefig('ordmatplots/formula_inversion_U4.pdf')
plt.show()
f = open(filename, 'w')
for i in range(len(w_list)):
f.write(str(w_list[i]) + '\t' + str(A[i]) + '\n')
f.close()
# print(c, i.getstate())
# c += 1
# print(H_n_n)
print("Generating DOS for block", n)
omega_list = np.linspace(startpoint, stoppoint, 2000)
# omega_list = [0]
wc = 0
A_list = []
for omega in omega_list:
z = omega + complex(0, 1 * eta)
Gi_n = z * np.eye(len(H_n_n)) - H_n_n
Gi_p = z * np.eye(len(H_p_p)) - H_p_p
Gi_m = z * np.eye(len(H_m_m)) - H_m_m
G = np.linalg.inv(Gi_n -
np.dot(tau_n_m, np.dot(np.linalg.inv(Gi_m), tau_m_n)) -
np.dot(tau_n_p, np.dot(np.linalg.inv(Gi_p), tau_p_n)))
A = (-1 / np.pi) * np.imag(np.trace(G)) / len(G)
A_list.append(A)
wc += 1
pb.progressbar(wc, 0, len(omega_list))
print('')
plt.plot(omega_list, A_list)
plt.show()
if (state1.getleftnum() == state2.getleftnum()):
H[bi][bj] = t * mel(state1, state2)
H[bj][bi] = H[bi][bj]
if (state1.getleftnum() != state2.getleftnum()):
H[bi][bj] = tprime * mel(state1, state2)
H[bj][bi] = H[bi][bj]
if (bi == bj):
a = basis[bi]
particles = np.array(a.upconfig) + np.array(a.downconfig)
for nump in particles:
if (nump == 2):
H[bi][bj] += U
Hprog = len(basis1) * (bi + 1) + bj + 1
pb.progressbar(Hprog, 0, len(basis1) * len(basis2))
for i in range(len(H)):
H[i, i] += Unn * unnlist[i]
t_H_stop = time.perf_counter()
print("\nHamiltonian matrix generated in",
round(t_H_stop - t_H_start, 5), 's.')
print('The Hamiltonian matrix is:')
for i in range(len(H)):
for j in range(len(H)):
if (H[i, j] >= 0):
print(' ', H[i, j], end=' ', sep='')
else:
# for e in ev:
# print( round(e, 2), sep = '\t', end = ' ' )
# print('')
w_list = np.linspace(startpoint, stoppoint, 2000)
t_lsw_start = time.perf_counter()
print("Generating local spectral weight function for state:\n", \
basis[p].getstate() )
A_list = []
i = 0
for w in w_list:
A_list.append(-(1 / np.pi) * np.imag(G(w)[p][p]))
pb.progressbar(i, 0, len(w_list) - 1)
i += 1
t_lsw_stop = time.perf_counter()
print("\nLocal spectral weight calculated in", \
round(t_lsw_stop - t_lsw_start, 5), 's.')
plt.xlim(startpoint, stoppoint)
plt.plot(w_list, A_list, color='green', label='With interface hopping')
plt.title( "Local spectral weight function for the state " +\
str(p) )
#plt.show()
#########################################################################
#Hamiltonian construction without interface hopping
if (state1.getleftnum() == state2.getleftnum()):
H[bi][bj] = t * mel(state1, state2)
#H[bj][bi] = H[bi][bj]
if (state1.getleftnum() != state2.getleftnum()):
H[bi][bj] = tprime * mel(state1, state2)
#H[bj][bi] = H[bi][bj]
if (l_n1 == l_n2 and bi == bj):
a = basis1[bi]
particles = np.array(a.upconfig) + np.array(a.downconfig)
for nump in particles:
if (nump == 2):
H[bi][bj] += U
H_counter += 1
pb.progressbar(H_counter, 0, len(basis1) * len(basis2))
# print('\nThe Hamiltonian matrix is:')
# for i in range(len(basis1)):
# for j in range(len(basis2)):
# if (H[i, j] >= 0):
# print(' ', H[i, j], end=' ', sep='')
# else:
# print(H[i, j], end=' ', sep='')
# print('')
filename = 'tau_' + str(N) + '_' + str(n) + '_' + \
str(l_n1) + '_' + str(l_n2) + '.txt'
np.savetxt(filename, H, fmt='%4.1f', delimiter='\t')
for bj in range(len(basis)):
state1 = basis[bi]
state2 = basis[bj]
if (bi <= bj):
if (state1.getleftnum() == state2.getleftnum()):
H[bi][bj] = t * mel(state1, state2)
H[bj][bi] = H[bi][bj]
if (state1.getleftnum() != state2.getleftnum()):
H[bi][bj] = tprime * mel(state1, state2)
H[bj][bi] = H[bi][bj]
if (bi == bj):
a = basis[bi]
particles = np.array(a.upconfig) + np.array(a.downconfig)
for nump in particles:
if (nump == 2):
H[bi][bj] += U
Hprog = len(basis) * (bi + 1) + bj + 1
pb.progressbar(Hprog, 0, len(basis) * len(basis))
print('\nThe Hamiltonian matrix is:')
for i in range(len(H)):
for j in range(len(H)):
if (H[i, j] >= 0):
print(' ', H[i, j], end=' ', sep='')
else:
print(H[i, j], end=' ', sep='')
print('')