triqs

Namespaces
namespace	gfs
namespace	modest

Classes
struct	kanamori_params
class	scoped_timer
	A utility class for measuring the execution time of a scope. More...

Typedefs
using	block2_matrix_t = nda::array<nda::matrix<dcomplex>, 2>
using	block_matrix_t = std::vector<nda::matrix<dcomplex>>
using	cmat_t = nda::matrix<dcomplex>
using	cmat_vt = nda::matrix_view<dcomplex>

Functions
template<std::ranges::input_range R>
bool	all_equal (R const &r)
	Determines if all elements in the given range are equal.
generator< std::pair< long, nda::range > >	enumerated_sub_slices (auto sub_div)
template<typename Mesh>
block2_gf< Mesh, matrix_valued >	make_block2_gf (Mesh const &mesh, gf_struct2_t const &gf_s)
std::map< op_name, op_name >	make_op_map (auto const &spin_names, auto const &orb_dims)
nda::array< dcomplex, 4 >	rotate_U_matrix_slater (nda::array< double, 4 > const &Uspherical, nda::matrix< dcomplex > sph_to_local)
template<typename T>
auto	to_vector (auto &&gen)
Coulomb tensor utilities
Utility functions for creating and working with the four index Coulomb tensor.
std::pair< nda::matrix< double >, nda::matrix< double > >	U_matrix_kanamori (long n_orb, double U_int, double U_prime, double J_hund)
	construct the Kanamori two-index interaction matrix for parallel and anti-parallel spins.
nda::array< double, 4 >	U_matrix_slater_spherical (long l, double U_int, double J_hund)
	Construct a four-index Coulomb tensor in the basis of spherical harmonics.
nda::array< dcomplex, 4 >	U_matrix_slater_local (long l, nda::matrix< dcomplex > s2l, double U_int, double J_hund)
	Construct a four-index Coulomb tensor in a specific orbital basis.

Variables
static constexpr auto	r_all = nda::range::all

Hamiltonians
Functions to create the impurity interaction using many-body operators.
using	op_name = std::pair<std::string, int>
operators::many_body_operator	rename_op (operators::many_body_operator const &op, std::map< op_name, op_name > const &op_map)
operators::many_body_operator	h_int_kanamori (nda::matrix< double > const &Umat, nda::matrix< double > const &Upmat, double const &J_hund, int const &n_orb, std::vector< std::string > const &spin_names, kanamori_params const &params)
operators::many_body_operator	h_int_density (nda::matrix< double > const &Umat, nda::matrix< double > const &Upmat, double const &J_hund, int const &n_orb, std::vector< std::string > const &spin_names)
operators::many_body_operator	h_int_slater (nda::array< dcomplex, 4 > const &Umatrix, int const &n_orb, std::vector< std::string > const &spin_names)
operators::many_body_operator	make_kanamori (std::vector< std::string > const &tau_names, std::vector< long > const &dim_gamma, double U_int, double U_prime, double J_hund, bool spin_flip=true, bool pair_hopping=true)
	Construct a Hubbard-Kanamori Hamiltonian.
operators::many_body_operator	make_density_density (std::vector< std::string > const &tau_names, std::vector< long > const &dim_gamma, double U_int, double U_prime, double J_hund)
	Construct a density-density interaction Hamiltonian.
operators::many_body_operator	make_slater (std::vector< std::string > const &tau_names, std::vector< long > const &dim_gamma, double U_int, double J_hund, nda::matrix< dcomplex > const &spherical_to_dft, std::optional< nda::matrix< dcomplex > > const &dft_to_local)
	Construct a Slater Hamiltonian.

Typedef Documentation

block2_matrix_t

using triqs::block2_matrix_t = nda::array<nda::matrix<dcomplex>, 2>

Definition at line 18 of file embedding.hpp.

block_matrix_t

using triqs::block_matrix_t = std::vector<nda::matrix<dcomplex>>

Definition at line 17 of file embedding.hpp.

cmat_t

using triqs::cmat_t = nda::matrix<dcomplex>

Definition at line 31 of file defs.hpp.

cmat_vt

using triqs::cmat_vt = nda::matrix_view<dcomplex>

Definition at line 32 of file defs.hpp.

op_name

using triqs::op_name = std::pair<std::string, int>

Definition at line 69 of file hamiltonians.hpp.

Function Documentation

all_equal()

template<std::ranges::input_range R>

bool triqs::all_equal

(

R const &

r

)

Determines if all elements in the given range are equal.

Template Parameters

R	A type that satisfies the std::ranges::input_range concept.

Parameters

r	The input range to check.

Returns

True if all elements in the range are equal, false otherwise.

This function uses std::ranges::adjacent_find with a predicate that checks for inequality. If no such adjacent elements are found, it implies all elements in the range are equal.

Definition at line 22 of file range_supp.hpp.

enumerated_sub_slices()

generator< std::pair< long, nda::range > > triqs::enumerated_sub_slices ( auto sub_div )

inline

Parameters

sub_div

List of block dimensions as longs (vector, range, generator)

Returns

Generator of (block dim, corresponding range in the matrix)

Definition at line 19 of file enumerate_slice.hpp.

h_int_density()

operators::many_body_operator triqs::h_int_density	(	nda::matrix< double > const &	Umat,
		nda::matrix< double > const &	Upmat,
		double const &	J_hund,
		int const &	n_orb,
		std::vector< std::string > const &	spin_names )

Definition at line 187 of file hamiltonians.cpp.

h_int_kanamori()

operators::many_body_operator triqs::h_int_kanamori	(	nda::matrix< double > const &	Umat,
		nda::matrix< double > const &	Upmat,
		double const &	J_hund,
		int const &	n_orb,
		std::vector< std::string > const &	spin_names,
		kanamori_params const &	params )

Definition at line 149 of file hamiltonians.cpp.

h_int_slater()

operators::many_body_operator triqs::h_int_slater	(	nda::array< dcomplex, 4 > const &	Umatrix,
		int const &	n_orb,
		std::vector< std::string > const &	spin_names )

Definition at line 195 of file hamiltonians.cpp.

make_block2_gf()

template<typename Mesh>

block2_gf< Mesh, matrix_valued > triqs::gfs::make_block2_gf	(	Mesh const &	mesh,
		gf_struct2_t const &	gf_s )

Definition at line 41 of file gf_supp.hpp.

make_op_map()

std::map< op_name, op_name > triqs::make_op_map	(	auto const &	spin_names,
		auto const &	orb_dims )

Definition at line 75 of file hamiltonians.cpp.

rename_op()

operators::many_body_operator triqs::rename_op	(	operators::many_body_operator const &	op,
		std::map< op_name, op_name > const &	op_map )

Definition at line 86 of file hamiltonians.cpp.

rotate_U_matrix_slater()

nda::array< dcomplex, 4 > triqs::rotate_U_matrix_slater	(	nda::array< double, 4 > const &	Uspherical,
		nda::matrix< dcomplex >	sph_to_local )

Definition at line 131 of file hamiltonians.cpp.

to_vector()

template<typename T>

auto triqs::to_vector

(

auto &&

gen

)

Definition at line 11 of file to_vector.hpp.

Variable Documentation

r_all

auto triqs::r_all = nda::range::all

staticconstexpr

Definition at line 33 of file defs.hpp.