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Update API_reference.py

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guanjihuan 2021-08-03 20:21:46 +08:00
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API_reference.py
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@ -1,9 +1,9 @@
import guan import guan
# test # test # Source code: https://py.guanjihuan.com/test
guan.test() guan.test()
# basic functions # basic functions # Source code: https://py.guanjihuan.com/basic_functions
sigma_0 = guan.sigma_0() sigma_0 = guan.sigma_0()
sigma_x = guan.sigma_x() sigma_x = guan.sigma_x()
sigma_y = guan.sigma_y() sigma_y = guan.sigma_y()
@ -25,7 +25,7 @@ sigma_zx = guan.sigma_zx()
sigma_zy = guan.sigma_zy() sigma_zy = guan.sigma_zy()
sigma_zz = guan.sigma_zz() sigma_zz = guan.sigma_zz()
# calculate reciprocal lattice vectors # calculate reciprocal lattice vectors # Source code: https://py.guanjihuan.com/calculate_reciprocal_lattice_vectors
b1 = guan.calculate_one_dimensional_reciprocal_lattice_vector(a1) b1 = guan.calculate_one_dimensional_reciprocal_lattice_vector(a1)
b1, b2 = guan.calculate_two_dimensional_reciprocal_lattice_vectors(a1, a2) b1, b2 = guan.calculate_two_dimensional_reciprocal_lattice_vectors(a1, a2)
b1, b2, b3 = guan.calculate_three_dimensional_reciprocal_lattice_vectors(a1, a2, a3) b1, b2, b3 = guan.calculate_three_dimensional_reciprocal_lattice_vectors(a1, a2, a3)
@ -33,19 +33,19 @@ b1 = guan.calculate_one_dimensional_reciprocal_lattice_vector_with_sympy(a1)
b1, b2 = guan.calculate_two_dimensional_reciprocal_lattice_vectors_with_sympy(a1, a2) b1, b2 = guan.calculate_two_dimensional_reciprocal_lattice_vectors_with_sympy(a1, a2)
b1, b2, b3 = guan.calculate_three_dimensional_reciprocal_lattice_vectors_with_sympy(a1, a2, a3) b1, b2, b3 = guan.calculate_three_dimensional_reciprocal_lattice_vectors_with_sympy(a1, a2, a3)
# Fourier transform # Fourier transform # Source code: https://py.guanjihuan.com/fourier_transform
hamiltonian = guan.one_dimensional_fourier_transform(k, unit_cell, hopping) 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.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 = guan.three_dimensional_fourier_transform_for_cubic_lattice(k1, k2, k3, unit_cell, hopping_1, hopping_2, hopping_3)
# Hamiltonian of finite size # Hamiltonian of finite size # Source code: https://py.guanjihuan.com/hamiltonian_of_finite_size
hamiltonian = guan.finite_size_along_one_direction(N, on_site=0, hopping=1, period=0) 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_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.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)
hopping = guan.hopping_along_zigzag_direction_for_graphene(N) 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) hamiltonian = guan.finite_size_along_two_directions_for_graphene(N1, N2, period_1=0, period_2=0)
# Hamiltonian of models in the reciprocal space # Hamiltonian of models in the reciprocal space # Source code: https://py.guanjihuan.com/hamiltonian_of_models_in_the_reciprocal_space
hamiltonian = guan.hamiltonian_of_simple_chain(k) hamiltonian = guan.hamiltonian_of_simple_chain(k)
hamiltonian = guan.hamiltonian_of_square_lattice(k1, k2) hamiltonian = guan.hamiltonian_of_square_lattice(k1, k2)
hamiltonian = guan.hamiltonian_of_square_lattice_in_quasi_one_dimension(k, N=10) hamiltonian = guan.hamiltonian_of_square_lattice_in_quasi_one_dimension(k, N=10)
@ -56,26 +56,26 @@ hamiltonian = guan.hamiltonian_of_graphene_with_zigzag_in_quasi_one_dimension(k,
hamiltonian = guan.hamiltonian_of_haldane_model(k1, k2, M=2/3, t1=1, t2=1/3, phi=pi/4, a=1/sqrt(3)) hamiltonian = guan.hamiltonian_of_haldane_model(k1, k2, M=2/3, t1=1, t2=1/3, phi=pi/4, a=1/sqrt(3))
hamiltonian = guan.hamiltonian_of_haldane_model_in_quasi_one_dimension(k, N=10, M=2/3, t1=1, t2=1/3, phi=pi/4) hamiltonian = guan.hamiltonian_of_haldane_model_in_quasi_one_dimension(k, N=10, M=2/3, t1=1, t2=1/3, phi=pi/4)
# calculate band structures # calculate band structures # Source code: https://py.guanjihuan.com/calculate_band_structures
eigenvalue = guan.calculate_eigenvalue(hamiltonian) eigenvalue = guan.calculate_eigenvalue(hamiltonian)
eigenvalue_array = guan.calculate_eigenvalue_with_one_parameter(x, hamiltonian_function): eigenvalue_array = guan.calculate_eigenvalue_with_one_parameter(x, hamiltonian_function):
eigenvalue_array = guan.calculate_eigenvalue_with_two_parameters(x, y, hamiltonian_function) eigenvalue_array = guan.calculate_eigenvalue_with_two_parameters(x, y, hamiltonian_function)
# calculate wave functions # calculate wave functions # Source code: https://py.guanjihuan.com/calculate_wave_functions
eigenvector = guan.calculate_eigenvector(hamiltonian) eigenvector = guan.calculate_eigenvector(hamiltonian)
# find vector with the same gauge # find vector with the same gauge # Source code: https://py.guanjihuan.com/find_vector_with_the_same_gauge
vector_target = guan.find_vector_with_the_same_gauge_with_binary_search(vector_target, vector_ref, show_error=1, show_times=0, show_phase=0, n_test=10001, precision=1e-6) vector_target = guan.find_vector_with_the_same_gauge_with_binary_search(vector_target, vector_ref, show_error=1, show_times=0, show_phase=0, n_test=10001, precision=1e-6)
vector = guan.find_vector_with_fixed_gauge_by_making_one_component_real(vector, precision=0.005) vector = guan.find_vector_with_fixed_gauge_by_making_one_component_real(vector, precision=0.005)
# calculate Green functions # calculate Green functions # Source code: https://py.guanjihuan.com/calculate_green_functions
green = guan.green_function(fermi_energy, hamiltonian, broadening, self_energy=0) 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_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_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_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) 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 # calculate density of states # Source code: https://py.guanjihuan.com/calculate_density_of_states
total_dos = guan.total_density_of_states(fermi_energy, hamiltonian, broadening=0.01) 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) 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_square_lattice(fermi_energy, hamiltonian, N1, N2, internal_degree=1, broadening=0.01)
@ -83,41 +83,41 @@ local_dos = guan.local_density_of_states_for_cubic_lattice(fermi_energy, hamilto
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_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) 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 # calculate conductance # Source code: https://py.guanjihuan.com/calculate_conductance
transfer = guan.transfer_matrix(fermi_energy, h00, h01) 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_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) 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 = 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) conductance_array = guan.calculate_conductance_with_fermi_energy_array(fermi_energy_array, h00, h01, length=100)
# scattering matrix # scattering matrix # Source code: https://py.guanjihuan.com/calculate_scattering_matrix
if_active = guan.if_active_channel(k_of_channel) 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_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) 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) 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) guan.print_or_write_scattering_matrix(fermi_energy, h00, h01, length=100, on_print=1, on_write=0)
# calculate Chern number # calculate Chern number # Source code: https://py.guanjihuan.com/calculate_chern_number
chern_number = guan.calculate_chern_number_for_square_lattice(hamiltonian_function, precision=100) chern_number = guan.calculate_chern_number_for_square_lattice(hamiltonian_function, precision=100)
# calculate Wilson loop # calculate Wilson loop # Source code: https://py.guanjihuan.com/calculate_wilson_loop
wilson_loop_array = guan.calculate_wilson_loop(hamiltonian_function, k_min=-pi, k_max=pi, precision=100) wilson_loop_array = guan.calculate_wilson_loop(hamiltonian_function, k_min=-pi, k_max=pi, precision=100)
# read and write # read and write # Source code: https://py.guanjihuan.com/read_and_write
x, y = guan.read_one_dimensional_data(filename='a') x, y = guan.read_one_dimensional_data(filename='a')
x, y, matrix = guan.read_two_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_one_dimensional_data(x, y, filename='a')
guan.write_two_dimensional_data(x, y, matrix, filename='a') guan.write_two_dimensional_data(x, y, matrix, filename='a')
# plot figures # plot figures # Source code: https://py.guanjihuan.com/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(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_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) guan.plot_contour(x, y, matrix, xlabel='x', ylabel='y', title='', filename='a', show=1, save=0)
# download # download # Source code: https://py.guanjihuan.com/download
guan.download_with_scihub(address=None, num=1) guan.download_with_scihub(address=None, num=1)
# audio # audio # Source code: https://py.guanjihuan.com/audio
guan.str_to_audio(str='hello world', rate=125, voice=1, read=1, save=0, print_text=0) guan.str_to_audio(str='hello world', rate=125, voice=1, read=1, save=0, print_text=0)
guan.txt_to_audio(txt_path, rate=125, voice=1, read=1, save=0, print_text=0) guan.txt_to_audio(txt_path, rate=125, voice=1, read=1, save=0, print_text=0)
content = guan.pdf_to_text(pdf_path) content = guan.pdf_to_text(pdf_path)