Container for instances of GreensFunction. More...

#include <GFContainer.hpp>

Inheritance diagram for Pomerol::GFContainer:

Collaboration diagram for Pomerol::GFContainer:

[legend]

Public Member Functions
template<typename... IndexTypes>
	GFContainer (IndexClassification< IndexTypes... > const &IndexInfo, StatesClassification const &S, Hamiltonian const &H, DensityMatrix const &DM, FieldOperatorContainer const &Ops, bool Anomalous=false)

void	prepareAll (std::set< IndexCombination2 > const &Indices={})

void	computeAll ()

Public Member Functions inherited from Pomerol::IndexContainer2< GreensFunction, GFContainer >
	IndexContainer2 (GFContainer const &Source, IndexClassification< IndexTypes... > const &IndexInfo)

void	fill (std::set< IndexCombination2 > Indices=std::set< IndexCombination2 >())

GreensFunction &	create (IndexCombination2 const &Indices)

bool	isInContainer (IndexCombination2 const &Indices) const

bool	isInContainer (ParticleIndex Index1, ParticleIndex Index2) const

GreensFunction &	operator() (IndexCombination2 const &Indices)

GreensFunction &	operator() (ParticleIndex Index1, ParticleIndex Index2)

Public Member Functions inherited from Pomerol::Thermal
	Thermal (RealType beta)

Data Fields
RealType	PoleResolution = 1e-8
	Lehmann representation: Maximal distance between energy poles to be consider coinciding. More...

RealType	CoefficientTolerance = 1e-8
	Lehmann representation: Maximal magnitude of a term coefficient to be considered negligible. More...

Data Fields inherited from Pomerol::Thermal
RealType const	beta
	Inverse temperature \(\beta\). More...

ComplexType const	MatsubaraSpacing
	Spacing between (imaginary) Matsubara frequencies, \(i\pi/\beta\). More...

Protected Member Functions
std::shared_ptr< GreensFunction >	createElement (IndexCombination2 const &Indices) const

Protected Member Functions inherited from Pomerol::IndexContainer2< GreensFunction, GFContainer >
std::set< IndexCombination2 >	enumerateIndices () const

Protected Attributes
StatesClassification const &	S
	Information about invariant subspaces of the Hamiltonian. More...

Hamiltonian const &	H
	The Hamiltonian. More...

DensityMatrix const &	DM
	Many-body density matrix \(\hat\rho\). More...

FieldOperatorContainer const &	Operators
	A set of creation/annihilation operators \(c^\dagger_j\)/ \(c_i\). More...

bool const	Anomalous
	Store anomalous Green's functions. More...

Protected Attributes inherited from Pomerol::IndexContainer2< GreensFunction, GFContainer >
ParticleIndex	NumIndices
	Each of the two indices can change in the range [0; NumIndices[. More...

std::map< IndexCombination2, std::shared_ptr< GreensFunction > >	ElementsMap
	Sparse storage for the elements. More...

GFContainer const &	Source
	Stored elements are created by calling Source.createElement(Indices). More...

Friends
class	IndexContainer2< GreensFunction, GFContainer >

Detailed Description

Container for instances of GreensFunction.

This class stores elements of a matrix-valued fermionic single-particle Matsubara Green's function

\[ G_{ij}(i\omega_n) = -\int_0^\beta d\tau e^{i\omega_n\tau} Tr[\mathcal{T}_\tau \hat\rho c_i(\tau) c_j^\dagger(0)]. \]

or of an anomalous Green's function

\[ F_{ij}(i\omega_n) = -\int_0^\beta d\tau e^{i\omega_n\tau} Tr[\mathcal{T}_\tau \hat\rho c_i(\tau) c_j(0)]. \]

Definition at line 48 of file GFContainer.hpp.

Constructor & Destructor Documentation

◆ GFContainer()

template<typename... IndexTypes>

Pomerol::GFContainer::GFContainer	(	IndexClassification< IndexTypes... > const &	IndexInfo,
		StatesClassification const &	S,
		Hamiltonian const &	H,
		DensityMatrix const &	DM,
		FieldOperatorContainer const &	Ops,
		bool	Anomalous = `false`
	)

inline

Constructor.

Template Parameters

IndexTypes Types of indices carried by the creation and annihilation operators.

Parameters

[in]	IndexInfo	Map for fermionic operator index tuples.
[in]	S	Information about invariant subspaces of the Hamiltonian.
[in]	H	The Hamiltonian.
[in]	DM	Many-body density matrix \(\hat\rho\).
[in]	Ops	A set of creation/annihilation operators \(c^\dagger_j\)/ \(c_i\).
[in]	Anomalous	Store anomalous Green's functions.

Definition at line 65 of file GFContainer.hpp.

Member Function Documentation

◆ computeAll()

void Pomerol::GFContainer::computeAll ( )

Compute all prepared matrix elements \(G_{ij}\)/ \(F_{ij}\).

Precondition: prepareAll() has been called.

◆ createElement()

std::shared_ptr<GreensFunction> Pomerol::GFContainer::createElement ( IndexCombination2 const & Indices ) const

protected

Create a single matrix element \(G_{ij}\)/ \(F_{ij}\).

Parameters

[in] Indices Index combination \((i,j)\).

◆ prepareAll()

void Pomerol::GFContainer::prepareAll ( std::set< IndexCombination2 > const & Indices = {} )

Prepare a set of matrix elements \(G_{ij}\) or \(F_{ij}\).

Parameters

[in] Indices Set of index combinations of the elements \(G_{ij}\)/ \(F_{ij}\) to be prepared. An empty set results in creation of elements for all possible index combinations.

Friends And Related Function Documentation

◆ IndexContainer2< GreensFunction, GFContainer >

friend class IndexContainer2< GreensFunction, GFContainer >

friend

Definition at line 85 of file GFContainer.hpp.

Field Documentation

◆ Anomalous

bool const Pomerol::GFContainer::Anomalous

protected

Store anomalous Green's functions.

Definition at line 104 of file GFContainer.hpp.

◆ CoefficientTolerance

RealType Pomerol::GFContainer::CoefficientTolerance = 1e-8

Lehmann representation: Maximal magnitude of a term coefficient to be considered negligible.

Definition at line 54 of file GFContainer.hpp.

◆ DM

DensityMatrix const& Pomerol::GFContainer::DM

protected

Many-body density matrix \(\hat\rho\).

Definition at line 100 of file GFContainer.hpp.

◆ H

Hamiltonian const& Pomerol::GFContainer::H

protected

The Hamiltonian.

Definition at line 98 of file GFContainer.hpp.

◆ Operators

FieldOperatorContainer const& Pomerol::GFContainer::Operators

protected

A set of creation/annihilation operators \(c^\dagger_j\)/ \(c_i\).

Definition at line 102 of file GFContainer.hpp.

◆ PoleResolution

RealType Pomerol::GFContainer::PoleResolution = 1e-8

Lehmann representation: Maximal distance between energy poles to be consider coinciding.

Definition at line 52 of file GFContainer.hpp.

◆ S

StatesClassification const& Pomerol::GFContainer::S

protected

Information about invariant subspaces of the Hamiltonian.

Definition at line 95 of file GFContainer.hpp.

The documentation for this class was generated from the following file:

pomerol/GFContainer.hpp

Public Member Functions

Data Fields

Protected Member Functions

Protected Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ GFContainer()

Member Function Documentation

◆ computeAll()

◆ createElement()

◆ prepareAll()

Friends And Related Function Documentation

◆ IndexContainer2< GreensFunction, GFContainer >

Field Documentation

◆ Anomalous

◆ CoefficientTolerance

◆ DM

◆ H

◆ Operators

◆ PoleResolution

◆ S