0.0.94
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[metadata]
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# replace with your username:
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name = guan
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version = 0.0.93
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version = 0.0.94
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author = guanjihuan
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author_email = guanjihuan@163.com
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description = An open source python package
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# With this package, you can calculate band structures, density of states, quantum transport and topological invariant of tight-binding models by invoking the functions you need. Other frequently used functions are also integrated in this package, such as file reading/writing, figure plotting, data processing.
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# The current version is guan-0.0.93, updated on June 13, 2022.
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# The current version is guan-0.0.94, updated on June 24, 2022.
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# Installation: pip install --upgrade guan
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@ -253,6 +253,8 @@ k_right, k_left, velocity_right, velocity_left, f_right, f_left, u_right, u_left
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transmission_matrix, reflection_matrix, k_right, k_left, velocity_right, velocity_left, ind_right_active = guan.calculate_scattering_matrix(fermi_energy, h00, h01, length=100)
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number_of_active_channels, number_of_evanescent_channels, k_of_right_moving_active_channels, k_of_left_moving_active_channels, velocity_of_right_moving_active_channels, velocity_of_left_moving_active_channels, transmission_matrix_for_active_channels, reflection_matrix_for_active_channels, total_transmission_of_channels, total_conductance, total_reflection_of_channels, sum_of_transmission_and_reflection_of_channels = guan.information_of_scattering_matrix(fermi_energy, h00, h01, length=100)
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guan.print_or_write_scattering_matrix(fermi_energy, h00, h01, length=100, print_show=1, write_file=0, filename='a', format='txt')
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@ -1667,53 +1669,69 @@ def calculate_scattering_matrix(fermi_energy, h00, h01, length=100):
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print('Error Alert: scattering matrix is not normalized!')
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return transmission_matrix, reflection_matrix, k_right, k_left, velocity_right, velocity_left, ind_right_active
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def print_or_write_scattering_matrix(fermi_energy, h00, h01, length=100, print_show=1, write_file=0, filename='a', format='txt'):
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def information_of_scattering_matrix(fermi_energy, h00, h01, length=100):
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if np.array(h00).shape==():
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dim = 1
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else:
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dim = np.array(h00).shape[0]
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transmission_matrix, reflection_matrix, k_right, k_left, velocity_right, velocity_left, ind_right_active = guan.calculate_scattering_matrix(fermi_energy, h00, h01, length)
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number_of_active_channels = ind_right_active
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number_of_evanescent_channels = dim-ind_right_active
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k_of_right_moving_active_channels = np.real(k_right[0:ind_right_active])
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k_of_left_moving_active_channels = np.real(k_left[0:ind_right_active])
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velocity_of_right_moving_active_channels = np.real(velocity_right[0:ind_right_active])
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velocity_of_left_moving_active_channels = np.real(velocity_left[0:ind_right_active])
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transmission_matrix_for_active_channels = np.square(np.abs(transmission_matrix[0:ind_right_active, 0:ind_right_active]))
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reflection_matrix_for_active_channels = np.square(np.abs(reflection_matrix[0:ind_right_active, 0:ind_right_active]))
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total_transmission_of_channels = np.sum(np.square(np.abs(transmission_matrix[0:ind_right_active, 0:ind_right_active])), axis=0)
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total_conductance = np.sum(np.square(np.abs(transmission_matrix[0:ind_right_active, 0:ind_right_active])))
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total_reflection_of_channels = np.sum(np.square(np.abs(reflection_matrix[0:ind_right_active, 0:ind_right_active])), axis=0)
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sum_of_transmission_and_reflection_of_channels = np.sum(np.square(np.abs(transmission_matrix[0:ind_right_active, 0:ind_right_active])), axis=0) + np.sum(np.square(np.abs(reflection_matrix[0:ind_right_active, 0:ind_right_active])), axis=0)
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return number_of_active_channels, number_of_evanescent_channels, k_of_right_moving_active_channels, k_of_left_moving_active_channels, velocity_of_right_moving_active_channels, velocity_of_left_moving_active_channels, transmission_matrix_for_active_channels, reflection_matrix_for_active_channels, total_transmission_of_channels, total_conductance, total_reflection_of_channels, sum_of_transmission_and_reflection_of_channels
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def print_or_write_scattering_matrix(fermi_energy, h00, h01, length=100, print_show=1, write_file=0, filename='a', format='txt'):
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number_of_active_channels, number_of_evanescent_channels, k_of_right_moving_active_channels, k_of_left_moving_active_channels, velocity_of_right_moving_active_channels, velocity_of_left_moving_active_channels, transmission_matrix_for_active_channels, reflection_matrix_for_active_channels, total_transmission_of_channels, total_conductance, total_reflection_of_channels, sum_of_transmission_and_reflection_of_channels = guan.information_of_scattering_matrix(fermi_energy, h00, h01, length)
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if print_show == 1:
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print('\nActive channel (left or right) = ', ind_right_active)
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print('Evanescent channel (left or right) = ', dim-ind_right_active, '\n')
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print('K of right-moving active channels:\n', np.real(k_right[0:ind_right_active]))
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print('K of left-moving active channels:\n', np.real(k_left[0:ind_right_active]), '\n')
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print('Velocity of right-moving active channels:\n', np.real(velocity_right[0:ind_right_active]))
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print('Velocity of left-moving active channels:\n', np.real(velocity_left[0:ind_right_active]), '\n')
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print('Transmission matrix:\n', np.square(np.abs(transmission_matrix[0:ind_right_active, 0:ind_right_active])))
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print('Reflection matrix:\n', np.square(np.abs(reflection_matrix[0:ind_right_active, 0:ind_right_active])), '\n')
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print('Total transmission of channels:\n', np.sum(np.square(np.abs(transmission_matrix[0:ind_right_active, 0:ind_right_active])), axis=0))
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print('Total reflection of channels:\n',np.sum(np.square(np.abs(reflection_matrix[0:ind_right_active, 0:ind_right_active])), axis=0))
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print('Sum of transmission and reflection of channels:\n', np.sum(np.square(np.abs(transmission_matrix[0:ind_right_active, 0:ind_right_active])), axis=0) + np.sum(np.square(np.abs(reflection_matrix[0:ind_right_active, 0:ind_right_active])), axis=0))
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print('Total conductance = ', np.sum(np.square(np.abs(transmission_matrix[0:ind_right_active, 0:ind_right_active]))), '\n')
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print('\nActive channel (left or right) = ', number_of_active_channels)
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print('Evanescent channel (left or right) = ', number_of_evanescent_channels, '\n')
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print('K of right-moving active channels:\n', k_of_right_moving_active_channels)
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print('K of left-moving active channels:\n', k_of_left_moving_active_channels, '\n')
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print('Velocity of right-moving active channels:\n', velocity_of_right_moving_active_channels)
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print('Velocity of left-moving active channels:\n', velocity_of_left_moving_active_channels, '\n')
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print('Transmission matrix:\n', transmission_matrix_for_active_channels)
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print('Reflection matrix:\n', reflection_matrix_for_active_channels, '\n')
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print('Total transmission of channels:\n', total_transmission_of_channels)
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print('Total conductance = ', total_conductance, '\n')
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print('Total reflection of channels:\n', total_reflection_of_channels)
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print('Sum of transmission and reflection of channels:\n', sum_of_transmission_and_reflection_of_channels, '\n')
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if write_file == 1:
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with open(filename+'.'+format, 'w') as f:
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f.write('Active channel (left or right) = ' + str(ind_right_active) + '\n')
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f.write('Evanescent channel (left or right) = ' + str(dim - ind_right_active) + '\n\n')
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f.write('Active channel (left or right) = ' + str(number_of_active_channels) + '\n')
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f.write('Evanescent channel (left or right) = ' + str(number_of_evanescent_channels) + '\n\n')
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f.write('Channel K Velocity\n')
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for ind0 in range(ind_right_active):
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f.write(' '+str(ind0 + 1) + ' | '+str(np.real(k_right[ind0]))+' ' + str(np.real(velocity_right[ind0]))+'\n')
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for ind0 in range(number_of_active_channels):
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f.write(' '+str(ind0 + 1) + ' | '+str(k_of_right_moving_active_channels[ind0])+' ' + str(velocity_of_right_moving_active_channels[ind0])+'\n')
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f.write('\n')
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for ind0 in range(ind_right_active):
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f.write(' -' + str(ind0 + 1) + ' | ' + str(np.real(k_left[ind0])) + ' ' + str(np.real(velocity_left[ind0])) + '\n')
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for ind0 in range(number_of_active_channels):
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f.write(' -' + str(ind0 + 1) + ' | ' + str(k_of_left_moving_active_channels[ind0]) + ' ' + str(velocity_of_left_moving_active_channels[ind0]) + '\n')
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f.write('\nScattering matrix:\n ')
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for ind0 in range(ind_right_active):
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for ind0 in range(number_of_active_channels):
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f.write(str(ind0+1)+' ')
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f.write('\n')
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for ind1 in range(ind_right_active):
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for ind1 in range(number_of_active_channels):
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f.write(' '+str(ind1+1)+' ')
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for ind2 in range(ind_right_active):
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f.write('%f' % np.square(np.abs(transmission_matrix[ind1, ind2]))+' ')
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for ind2 in range(number_of_active_channels):
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f.write('%f' % transmission_matrix_for_active_channels[ind1, ind2]+' ')
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f.write('\n')
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f.write('\n')
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for ind1 in range(ind_right_active):
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for ind1 in range(number_of_active_channels):
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f.write(' -'+str(ind1+1)+' ')
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for ind2 in range(ind_right_active):
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f.write('%f' % np.square(np.abs(reflection_matrix[ind1, ind2]))+' ')
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for ind2 in range(number_of_active_channels):
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f.write('%f' % reflection_matrix_for_active_channels[ind1, ind2]+' ')
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f.write('\n')
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f.write('\n')
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f.write('Total transmission of channels:\n'+str(np.sum(np.square(np.abs(transmission_matrix[0:ind_right_active, 0:ind_right_active])), axis=0))+'\n')
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f.write('Total conductance = '+str(np.sum(np.square(np.abs(transmission_matrix[0:ind_right_active, 0:ind_right_active]))))+'\n')
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f.write('Total transmission of channels:\n'+str(total_transmission_of_channels)+'\n')
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f.write('Total conductance = '+str(total_conductance)+'\n')
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