diff --git a/API_Reference.py b/API_Reference.py index 94b8e78..2963a12 100644 --- a/API_Reference.py +++ b/API_Reference.py @@ -83,17 +83,17 @@ hamiltonian = guan.hamiltonian_of_finite_size_system_along_two_directions_for_sq hamiltonian = guan.hamiltonian_of_finite_size_system_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.hamiltonian_of_finite_size_SSH_model(N, v=0.6, w=1, onsite_1=0, onsite_2=0, period=1) +hamiltonian = guan.hamiltonian_of_finite_size_ssh_model(N, v=0.6, w=1, onsite_1=0, onsite_2=0, period=1) hopping = guan.get_hopping_term_of_graphene_ribbon_along_zigzag_direction(N, eta=0) hamiltonian = guan.hamiltonian_of_finite_size_system_along_two_directions_for_graphene(N1, N2, period_1=0, period_2=0) -H0, H1, H2 = guan.get_onsite_and_hopping_terms_of_BHZ_model(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1) +H0, H1, H2 = guan.get_onsite_and_hopping_terms_of_bhz_model(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1) -H0, H1, H2 = guan.get_onsite_and_hopping_terms_of_half_BHZ_model_for_spin_up(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1) +H0, H1, H2 = guan.get_onsite_and_hopping_terms_of_half_bhz_model_for_spin_up(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1) -H0, H1, H2 = guan.get_onsite_and_hopping_terms_of_half_BHZ_model_for_spin_down(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1) +H0, H1, H2 = guan.get_onsite_and_hopping_terms_of_half_bhz_model_for_spin_down(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1) @@ -119,13 +119,15 @@ hamiltonian = guan.hamiltonian_of_haldane_model_in_quasi_one_dimension(k, N=10, hamiltonian = guan.hamiltonian_of_one_QAH_model(k1, k2, t1=1, t2=1, t3=0.5, m=-1) -hamiltonian = guan.hamiltonian_of_BHZ_model(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01) +hamiltonian = guan.hamiltonian_of_bhz_model(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01) -hamiltonian = guan.hamiltonian_of_half_BHZ_model_for_spin_up(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01) +hamiltonian = guan.hamiltonian_of_half_bhz_model_for_spin_up(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01) -hamiltonian = guan.hamiltonian_of_half_BHZ_model_for_spin_down(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01) +hamiltonian = guan.hamiltonian_of_half_bhz_model_for_spin_down(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01) -hamiltonian = guan.hamiltonian_of_BBH_model(kx, ky, gamma_x=0.5, gamma_y=0.5, lambda_x=1, lambda_y=1) +hamiltonian = guan.hamiltonian_of_bbh_model(kx, ky, gamma_x=0.5, gamma_y=0.5, lambda_x=1, lambda_y=1) + +hamiltonian = guan.hamiltonian_of_kagome_lattice(kx, ky, t=1) diff --git a/PyPI/setup.cfg b/PyPI/setup.cfg index 352b7d6..34a38e4 100644 --- a/PyPI/setup.cfg +++ b/PyPI/setup.cfg @@ -1,7 +1,7 @@ [metadata] # replace with your username: name = guan -version = 0.0.109 +version = 0.0.110 author = guanjihuan author_email = guanjihuan@163.com description = An open source python package diff --git a/PyPI/src/guan/__init__.py b/PyPI/src/guan/__init__.py index 69a50e2..63a8b76 100644 --- a/PyPI/src/guan/__init__.py +++ b/PyPI/src/guan/__init__.py @@ -2,7 +2,7 @@ # 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. -# The current version is guan-0.0.109, updated on July 13, 2022. +# The current version is guan-0.0.110, updated on July 14, 2022. # Installation: pip install --upgrade guan @@ -314,7 +314,7 @@ def hamiltonian_of_finite_size_system_along_three_directions_for_cubic_lattice(N hamiltonian[i1*N2*N3*dim+i2*N3*dim+0:i1*N2*N3*dim+i2*N3*dim+dim, i1*N2*N3*dim+i2*N3*dim+(N3-1)*dim+0:i1*N2*N3*dim+i2*N3*dim+(N3-1)*dim+dim] = hopping_3.transpose().conj() return hamiltonian -def hamiltonian_of_finite_size_SSH_model(N, v=0.6, w=1, onsite_1=0, onsite_2=0, period=1): +def hamiltonian_of_finite_size_ssh_model(N, v=0.6, w=1, onsite_1=0, onsite_2=0, period=1): hamiltonian = np.zeros((2*N, 2*N)) for i in range(N): hamiltonian[i*2+0, i*2+0] = onsite_1 @@ -348,7 +348,7 @@ def hamiltonian_of_finite_size_system_along_two_directions_for_graphene(N1, N2, hamiltonian = guan.finite_size_along_two_directions_for_square_lattice(N1, N2, on_site, hopping_1, hopping_2, period_1, period_2) return hamiltonian -def get_onsite_and_hopping_terms_of_BHZ_model(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1): +def get_onsite_and_hopping_terms_of_bhz_model(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1): E_s = C+M-4*(D+B)/(a**2) E_p = C-M-4*(D-B)/(a**2) V_ss = (D+B)/(a**2) @@ -379,7 +379,7 @@ def get_onsite_and_hopping_terms_of_BHZ_model(A=0.3645/5, B=-0.686/25, C=0, D=-0 H2[3, 2] = -1j*V_sp return H0, H1, H2 -def get_onsite_and_hopping_terms_of_half_BHZ_model_for_spin_up(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1): +def get_onsite_and_hopping_terms_of_half_bhz_model_for_spin_up(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1): E_s = C+M-4*(D+B)/(a**2) E_p = C-M-4*(D-B)/(a**2) V_ss = (D+B)/(a**2) @@ -400,7 +400,7 @@ def get_onsite_and_hopping_terms_of_half_BHZ_model_for_spin_up(A=0.3645/5, B=-0. H2[1, 0] = 1j*np.conj(V_sp) return H0, H1, H2 -def get_onsite_and_hopping_terms_of_half_BHZ_model_for_spin_down(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1): +def get_onsite_and_hopping_terms_of_half_bhz_model_for_spin_down(A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01, a=1): E_s = C+M-4*(D+B)/(a**2) E_p = C-M-4*(D-B)/(a**2) V_ss = (D+B)/(a**2) @@ -571,7 +571,7 @@ def hamiltonian_of_one_QAH_model(k1, k2, t1=1, t2=1, t3=0.5, m=-1): hamiltonian[1, 1] = -(m+2*t3*math.sin(k1)+2*t3*math.sin(k2)+2*t2*math.cos(k1+k2)) return hamiltonian -def hamiltonian_of_BHZ_model(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01): +def hamiltonian_of_bhz_model(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01): hamiltonian = np.zeros((4, 4), dtype=complex) varepsilon = C-2*D*(2-math.cos(kx)-math.cos(ky)) d3 = -2*B*(2-(M/2/B)-math.cos(kx)-math.cos(ky)) @@ -586,7 +586,7 @@ def hamiltonian_of_BHZ_model(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, hamiltonian[3, 2] = -np.conj(d1_d2) return hamiltonian -def hamiltonian_of_half_BHZ_model_for_spin_up(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01): +def hamiltonian_of_half_bhz_model_for_spin_up(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01): hamiltonian = np.zeros((2, 2), dtype=complex) varepsilon = C-2*D*(2-math.cos(kx)-math.cos(ky)) d3 = -2*B*(2-(M/2/B)-math.cos(kx)-math.cos(ky)) @@ -597,7 +597,7 @@ def hamiltonian_of_half_BHZ_model_for_spin_up(kx, ky, A=0.3645/5, B=-0.686/25, C hamiltonian[1, 0] = d1_d2 return hamiltonian -def hamiltonian_of_half_BHZ_model_for_spin_down(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01): +def hamiltonian_of_half_bhz_model_for_spin_down(kx, ky, A=0.3645/5, B=-0.686/25, C=0, D=-0.512/25, M=-0.01): hamiltonian = np.zeros((2, 2), dtype=complex) varepsilon = C-2*D*(2-math.cos(kx)-math.cos(ky)) d3 = -2*B*(2-(M/2/B)-math.cos(kx)-math.cos(ky)) @@ -608,7 +608,7 @@ def hamiltonian_of_half_BHZ_model_for_spin_down(kx, ky, A=0.3645/5, B=-0.686/25, hamiltonian[1, 0] = -np.conj(d1_d2) return hamiltonian -def hamiltonian_of_BBH_model(kx, ky, gamma_x=0.5, gamma_y=0.5, lambda_x=1, lambda_y=1): +def hamiltonian_of_bbh_model(kx, ky, gamma_x=0.5, gamma_y=0.5, lambda_x=1, lambda_y=1): # label of atoms in a unit cell # (2) —— (0) # | | @@ -624,6 +624,18 @@ def hamiltonian_of_BBH_model(kx, ky, gamma_x=0.5, gamma_y=0.5, lambda_x=1, lambd hamiltonian[2, 1] = np.conj(hamiltonian[1, 2]) return hamiltonian +def hamiltonian_of_kagome_lattice(kx, ky, t=1): + k1_dot_a1 = kx + k2_dot_a2 = kx/2+ky*math.sqrt(3)/2 + k3_dot_a3 = -kx/2+ky*math.sqrt(3)/2 + hamiltonian = np.zeros((3, 3), dtype=complex) + hamiltonian[0, 1] = 2*math.cos(k1_dot_a1) + hamiltonian[0, 2] = 2*math.cos(k2_dot_a2) + hamiltonian[1, 2] = 2*math.cos(k3_dot_a3) + hamiltonian = hamiltonian + hamiltonian.transpose().conj() + hamiltonian = -t*hamiltonian + return hamiltonian +