5.1 KiB
import guan
test
guan.test()
basic functions
sigma_0 = guan.sigma_0() sigma_x = guan.sigma_x() sigma_y = guan.sigma_y() sigma_z = guan.sigma_z()
sigma_00 = guan.sigma_00() sigma_0x = guan.sigma_0x() sigma_0y = guan.sigma_0y() sigma_0z = guan.sigma_0z()
sigma_x0 = guan.sigma_x0() sigma_xx = guan.sigma_xx() sigma_xy = guan.sigma_xy() sigma_xz = guan.sigma_xz()
sigma_y0 = guan.sigma_y0() sigma_yx = guan.sigma_yx() sigma_yy = guan.sigma_yy() sigma_yz = guan.sigma_yz()
sigma_z0 = guan.sigma_z0() sigma_zx = guan.sigma_zx() sigma_zy = guan.sigma_zy() sigma_zz = guan.sigma_zz()
Hermitian Hamiltonian of tight binding model
hamiltonian = guan.finite_size_along_one_direction(N, on_site=0, hopping=1, period=0) hamiltonian = guan.finite_size_along_two_directions_for_square_lattice(N1, N2, on_site=0, hopping_1=1, hopping_2=1, period_1=0, period_2=0) hamiltonian = guan.finite_size_along_three_directions_for_cubic_lattice(N1, N2, N3, on_site=0, hopping_1=1, hopping_2=1, hopping_3=1, period_1=0, period_2=0, period_3=0) hamiltonian = guan.one_dimensional_fourier_transform(k, unit_cell, hopping) hamiltonian = guan.two_dimensional_fourier_transform_for_square_lattice(k1, k2, unit_cell, hopping_1, hopping_2) hamiltonian = guan.three_dimensional_fourier_transform_for_cubic_lattice(k1, k2, k3, unit_cell, hopping_1, hopping_2, hopping_3)
Hamiltonian of graphene lattice
hopping = guan.hopping_along_zigzag_direction_for_graphene(N) hamiltonian = guan.finite_size_along_two_directions_for_graphene(N1, N2, period_1=0, period_2=0)
calculate band structures
eigenvalue = guan.calculate_eigenvalue(hamiltonian) eigenvalue_array = guan.calculate_eigenvalue_with_one_parameter(x, hamiltonian_function): eigenvalue_array = guan.calculate_eigenvalue_with_two_parameters(x, y, hamiltonian_function)
calculate wave functions
eigenvector = guan.calculate_eigenvector(hamiltonian)
calculate Green functions
green = guan.green_function(fermi_energy, hamiltonian, broadening, self_energy=0) green_nn_n = guan.green_function_nn_n(fermi_energy, h00, h01, green_nn_n_minus, broadening, self_energy=0) green_in_n = guan.green_function_in_n(green_in_n_minus, h01, green_nn_n) green_ni_n = guan.green_function_ni_n(green_nn_n, h01, green_ni_n_minus) green_ii_n = guan.green_function_ii_n(green_ii_n_minus, green_in_n_minus, h01, green_nn_n, green_ni_n_minus)
calculate density of states
total_dos = guan.total_density_of_states(fermi_energy, hamiltonian, broadening=0.01) total_dos_array = guan.total_density_of_states_with_fermi_energy_array(fermi_energy_array, hamiltonian, broadening=0.01) local_dos = guan.local_density_of_states_for_square_lattice(fermi_energy, hamiltonian, N1, N2, internal_degree=1, broadening=0.01) local_dos = guan.local_density_of_states_for_cubic_lattice(fermi_energy, hamiltonian, N1, N2, N3, internal_degree=1, broadening=0.01) local_dos = guan.local_density_of_states_for_square_lattice_using_dyson_equation(fermi_energy, h00, h01, N2, N1, internal_degree=1, broadening=0.01) local_dos = guan.local_density_of_states_for_cubic_lattice_using_dyson_equation(fermi_energy, h00, h01, N3, N2, N1, internal_degree=1, broadening=0.01)
calculate conductance
transfer = guan.transfer_matrix(fermi_energy, h00, h01) right_lead_surface, left_lead_surface = guan.surface_green_function_of_lead(fermi_energy, h00, h01 right_self_energy, left_self_energy = guan.self_energy_of_lead(fermi_energy, h00, h01) conductance = guan.calculate_conductance(fermi_energy, h00, h01, length=100) conductance_array = guan.calculate_conductance_with_fermi_energy_array(fermi_energy_array, h00, h01, length=100)
scattering matrix
if_active = guan.if_active_channel(k_of_channel) k_of_channel, velocity_of_channel, eigenvalue, eigenvector = guan.get_k_and_velocity_of_channel(fermi_energy, h00, h01) k_right, k_left, velocity_right, velocity_left, f_right, f_left, u_right, u_left, ind_right_active = guan.get_classified_k_velocity_u_and_f(fermi_energy, h00, h01) 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) guan.print_or_write_scattering_matrix(fermi_energy, h00, h01, length=100, on_print=1, on_write=0)
calculate Chern number
chern_number = guan.calculate_chern_number_for_square_lattice(hamiltonian_function, precision=100)
calculate Wilson loop
wilson_loop_array = guan.calculate_wilson_loop(hamiltonian_function, k_min=-pi, k_max=pi, precision=100)
read and write
x, y = guan.read_one_dimensional_data(filename='a') x, y, matrix = guan.read_two_dimensional_data(filename='a') guan.write_one_dimensional_data(x, y, filename='a') guan.write_two_dimensional_data(x, y, matrix, filename='a')
plot figures
guan.plot(x, y, xlabel='x', ylabel='y', title='', filename='a', show=1, save=0, type='', y_min=None, y_max=None) guan.plot_3d_surface(x, y, matrix, xlabel='x', ylabel='y', zlabel='z', title='', filename='a', show=1, save=0, z_min=None, z_max=None) guan.plot_contour(x, y, matrix, xlabel='x', ylabel='y', title='', filename='a', show=1, save=0)
download
guan.download_with_scihub(address=None, num=1)