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Update API_Reference.py

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guanjihuan 2022-01-19 19:05:33 +08:00
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1 changed files with 13 additions and 13 deletions
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API_Reference/API_Reference.py
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@ -1,6 +1,6 @@
import guan
# basic functions # Source code: https://py.guanjihuan.com/basic_functions
# basic functions
guan.test()
sigma_0 = guan.sigma_0()
sigma_x = guan.sigma_x()
@ -29,19 +29,19 @@ 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, b3 = guan.calculate_three_dimensional_reciprocal_lattice_vectors_with_sympy(a1, a2, a3)
# Fourier transform # Source code: https://py.guanjihuan.com/fourier_transform
# Fourier transform
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 finite size systems # Source code: https://py.guanjihuan.com/hamiltonian_of_finite_size_systems
# Hamiltonian of finite size systems
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)
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 of models in the reciprocal space # Source code: https://py.guanjihuan.com/hamiltonian_of_models_in_the_reciprocal_space
# Hamiltonian of models in the reciprocal space
hamiltonian = guan.hamiltonian_of_simple_chain(k)
hamiltonian = guan.hamiltonian_of_square_lattice(k1, k2)
hamiltonian = guan.hamiltonian_of_square_lattice_in_quasi_one_dimension(k, N=10)
@ -52,7 +52,7 @@ 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_in_quasi_one_dimension(k, N=10, M=2/3, t1=1, t2=1/3, phi=pi/4)
# calculate band structures # Source code: https://py.guanjihuan.com/source-code/calculate_band_structures_and_wave_functions
# calculate band structures
eigenvalue = guan.calculate_eigenvalue(hamiltonian)
eigenvalue_array = guan.calculate_eigenvalue_with_one_parameter(x_array, hamiltonian_function, print_show=0)
eigenvalue_array = guan.calculate_eigenvalue_with_two_parameters(x_array, y_array, hamiltonian_function, print_show=0, print_show_more=0)
@ -60,7 +60,7 @@ eigenvector = guan.calculate_eigenvector(hamiltonian)
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, index=None)
# calculate Green functions # Source code: https://py.guanjihuan.com/calculate_green_functions
# 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)
@ -74,7 +74,7 @@ self_energy, gamma = guan.self_energy_of_lead_with_h_lead_to_center(fermi_energy
green, gamma_right, gamma_left = guan.green_function_with_leads(fermi_energy, h00, h01, h_LC, h_CR, center_hamiltonian)
G_n = guan.electron_correlation_function_green_n_for_local_current(fermi_energy, h00, h01, h_LC, h_CR, center_hamiltonian)
# calculate density of states # Source code: https://py.guanjihuan.com/calculate_density_of_states
# 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)
@ -83,7 +83,7 @@ local_dos = guan.local_density_of_states_for_square_lattice_using_dyson_equation
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_square_lattice_with_self_energy_using_dyson_equation(fermi_energy, h00, h01, N2, N1, right_self_energy, left_self_energy, internal_degree=1, broadening=0.01)
# calculate conductance # Source code: https://py.guanjihuan.com/calculate_conductance
# calculate conductance
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 = guan.calculate_conductance_with_disorder(fermi_energy, h00, h01, disorder_intensity=2.0, disorder_concentration=1.0, length=100)
@ -91,31 +91,31 @@ conductance_array = guan.calculate_conductance_with_disorder_intensity_array(fer
conductance_array = guan.calculate_conductance_with_disorder_concentration_array(fermi_energy, h00, h01, disorder_concentration_array, disorder_intensity=2.0, length=100, calculation_times=1)
conductance_array = guan.calculate_conductance_with_scattering_length_array(fermi_energy, h00, h01, length_array, disorder_intensity=2.0, disorder_concentration=1.0, calculation_times=1)
# scattering matrix # Source code: https://py.guanjihuan.com/calculate_scattering_matrix
# 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 topological invariant # Source code: https://py.guanjihuan.com/source-code/calculate_topological_invariant
# calculate topological invariant
chern_number = guan.calculate_chern_number_for_square_lattice(hamiltonian_function, precision=100)
chern_number = guan.calculate_chern_number_for_square_lattice_with_Wilson_loop(hamiltonian_function, precision_of_plaquettes=10, precision_of_Wilson_loop=100)
chern_number = guan.calculate_chern_number_for_honeycomb_lattice(hamiltonian_function, a=1, precision=300)
wilson_loop_array = guan.calculate_wilson_loop(hamiltonian_function, k_min=-pi, k_max=pi, precision=100)
# read and write # Source code: https://py.guanjihuan.com/read_and_write
# read and write
x_array, y_array = guan.read_one_dimensional_data(filename='a', format='txt')
x_array, y_array, matrix = guan.read_two_dimensional_data(filename='a', format='txt')
guan.write_one_dimensional_data(x_array, y_array, filename='a', format='txt')
guan.write_two_dimensional_data(x_array, y_array, matrix, filename='a', format='txt')
# plot figures # Source code: https://py.guanjihuan.com/plot_figures
# plot figures
guan.plot(x_array, y_array, xlabel='x', ylabel='y', title='', show=1, save=0, filename='a', format='jpg', dpi=300, type='', y_min=None, y_max=None, linewidth=None, markersize=None)
guan.plot_3d_surface(x_array, y_array, matrix, xlabel='x', ylabel='y', zlabel='z', title='', show=1, save=0, filename='a', format='jpg', dpi=300, z_min=None, z_max=None, rcount=100, ccount=100)
guan.plot_contour(x_array, y_array, matrix, xlabel='x', ylabel='y', title='', show=1, save=0, filename='a', format='jpg', dpi=300)
# others # Source code: https://py.guanjihuan.com/source-code/others
# others
guan.download_with_scihub(address=None, num=1)
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)