From 4af09ef61bf1076ca8426d90d9705da22d49d333 Mon Sep 17 00:00:00 2001 From: guanjihuan <34735497+guanjihuan@users.noreply.github.com> Date: Tue, 3 Aug 2021 20:21:46 +0800 Subject: [PATCH] Update API_reference.py --- API_reference.py | 38 +++++++++++++++++++------------------- 1 file changed, 19 insertions(+), 19 deletions(-) diff --git a/API_reference.py b/API_reference.py index 0ad93ef..000844e 100644 --- a/API_reference.py +++ b/API_reference.py @@ -1,9 +1,9 @@ import guan -# test +# test # Source code: https://py.guanjihuan.com/test guan.test() -# basic functions +# basic functions # Source code: https://py.guanjihuan.com/basic_functions sigma_0 = guan.sigma_0() sigma_x = guan.sigma_x() sigma_y = guan.sigma_y() @@ -25,7 +25,7 @@ sigma_zx = guan.sigma_zx() sigma_zy = guan.sigma_zy() 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, b2 = guan.calculate_two_dimensional_reciprocal_lattice_vectors(a1, a2) 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, 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.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 +# 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_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 +# 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_square_lattice(k1, k2) 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_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_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 +# calculate wave functions # Source code: https://py.guanjihuan.com/calculate_wave_functions 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 = 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_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 +# 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_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) @@ -83,41 +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_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) 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 +# scattering matrix # Source code: https://py.guanjihuan.com/calculate_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 +# 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) -# 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) -# 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, 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 +# 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_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 +# download # Source code: https://py.guanjihuan.com/download 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.txt_to_audio(txt_path, rate=125, voice=1, read=1, save=0, print_text=0) content = guan.pdf_to_text(pdf_path)