Pomerol::LatticePresets Namespace Reference

This namespace encloses factory functions for various terms most commonly used to write a lattice Hamiltonian. More...

Typedefs
using	RealExpr = Operators::expression< RealType, std::string, unsigned short, spin >
using	ComplexExpr = Operators::expression< ComplexType, std::string, unsigned short, spin >

Enumerations
enum	spin : short { undef = -1 , down = 0 , up = 1 }
	Possible values of spin-1/2 z-projection. More...

Functions
std::ostream &	operator<< (std::ostream &os, spin s)
RealExpr	Level (std::string const &Label, RealType Eps, unsigned short Orbital, spin Spin)
ComplexExpr	Level (std::string const &Label, ComplexType Eps, unsigned short Orbital, spin Spin)
RealExpr	Level (std::string const &Label, RealType Eps, unsigned short NOrbitals=1)
ComplexExpr	Level (std::string const &Label, ComplexType Eps, unsigned short NOrbitals=1)
RealExpr	Hopping (std::string const &Label1, std::string const &Label2, RealType t, unsigned short Orbital1, unsigned short Orbital2, spin Spin1, spin Spin2)
ComplexExpr	Hopping (std::string const &Label1, std::string const &Label2, ComplexType t, unsigned short Orbital1, unsigned short Orbital2, spin Spin1, spin Spin2)
RealExpr	Hopping (std::string const &Label1, std::string const &Label2, RealType t, unsigned short Orbital, spin Spin)
ComplexExpr	Hopping (std::string const &Label1, std::string const &Label2, ComplexType t, unsigned short Orbital, spin Spin)
RealExpr	Hopping (std::string const &Label1, std::string const &Label2, RealType t, unsigned short Orbital1, unsigned short Orbital2)
ComplexExpr	Hopping (std::string const &Label1, std::string const &Label2, ComplexType t, unsigned short Orbital1, unsigned short Orbital2)
RealExpr	Hopping (std::string const &Label1, std::string const &Label2, RealType t, unsigned short NOrbitals=1)
ComplexExpr	Hopping (std::string const &Label1, std::string const &Label2, ComplexType t, unsigned short NOrbitals=1)
RealExpr	Magnetization (std::string const &Label, RealType H, unsigned short NOrbitals=1)
ComplexExpr	Magnetization (std::string const &Label, ComplexType H, unsigned short NOrbitals=1)
RealExpr	Pairing (std::string const &Label1, std::string const &Label2, RealType Delta, unsigned short Orbital1, unsigned short Orbital2, spin Spin1, spin Spin2)
ComplexExpr	Pairing (std::string const &Label1, std::string const &Label2, ComplexType Delta, unsigned short Orbital1, unsigned short Orbital2, spin Spin1, spin Spin2)
RealExpr	Pairing (std::string const &Label1, std::string const &Label2, RealType Delta, unsigned short Orbital1, unsigned short Orbital2)
ComplexExpr	Pairing (std::string const &Label1, std::string const &Label2, ComplexType Delta, unsigned short Orbital1, unsigned short Orbital2)
RealExpr	Pairing (std::string const &Label, RealType Delta, unsigned short NOrbitals=1)
ComplexExpr	Pairing (std::string const &Label, ComplexType Delta, unsigned short NOrbitals=1)
RealExpr	NupNdown (std::string const &Label1, std::string const &Label2, RealType U, unsigned short Orbital1, unsigned short Orbital2, spin Spin1, spin Spin2)
ComplexExpr	NupNdown (std::string const &Label1, std::string const &Label2, ComplexType U, unsigned short Orbital1, unsigned short Orbital2, spin Spin1, spin Spin2)
RealExpr	NupNdown (std::string const &Label, RealType U, unsigned short Orbital1, unsigned short Orbital2, spin Spin1, spin Spin2)
ComplexExpr	NupNdown (std::string const &Label, ComplexType U, unsigned short Orbital1, unsigned short Orbital2, spin Spin1, spin Spin2)
RealExpr	NupNdown (std::string const &Label, RealType U, unsigned short Orbital1, unsigned short Orbital2)
ComplexExpr	NupNdown (std::string const &Label, ComplexType U, unsigned short Orbital1, unsigned short Orbital2)
RealExpr	NupNdown (std::string const &Label, RealType U, unsigned short Orbital, spin Spin1=up, spin Spin2=down)
ComplexExpr	NupNdown (std::string const &Label, ComplexType U, unsigned short Orbital, spin Spin1=up, spin Spin2=down)
RealExpr	Spinflip (std::string const &Label, RealType J, unsigned short Orbital1, unsigned short Orbital2, spin Spin1=up, spin Spin2=down)
ComplexExpr	Spinflip (std::string const &Label, ComplexType J, unsigned short Orbital1, unsigned short Orbital2, spin Spin1=up, spin Spin2=down)
RealExpr	PairHopping (std::string const &Label, RealType J, unsigned short Orbital1, unsigned short Orbital2, spin Spin1=up, spin Spin2=down)
ComplexExpr	PairHopping (std::string const &Label, ComplexType J, unsigned short Orbital1, unsigned short Orbital2, spin Spin1=up, spin Spin2=down)
RealExpr	SplusSminus (std::string const &Label1, std::string const &Label2, RealType J, unsigned short Orbital)
ComplexExpr	SplusSminus (std::string const &Label1, std::string const &Label2, ComplexType J, unsigned short Orbital)
RealExpr	SminusSplus (std::string const &Label1, std::string const &Label2, RealType J, unsigned short Orbital)
ComplexExpr	SminusSplus (std::string const &Label1, std::string const &Label2, ComplexType J, unsigned short Orbital)
RealExpr	SzSz (std::string const &Label1, std::string const &Label2, RealType J, unsigned short NOrbitals=1)
ComplexExpr	SzSz (std::string const &Label1, std::string const &Label2, ComplexType J, unsigned short NOrbitals=1)
RealExpr	SS (std::string const &Label1, std::string const &Label2, RealType J, unsigned short NOrbitals=1)
ComplexExpr	SS (std::string const &Label1, std::string const &Label2, ComplexType J, unsigned short NOrbitals=1)
RealExpr	CoulombS (std::string const &Label, RealType U, RealType Eps, unsigned short NOrbitals=1)
ComplexExpr	CoulombS (std::string const &Label, ComplexType U, ComplexType Eps, unsigned short NOrbitals=1)
RealExpr	CoulombP (std::string const &Label, RealType U, RealType U_p, RealType J, RealType Eps, unsigned short NOrbitals=3)
ComplexExpr	CoulombP (std::string const &Label, ComplexType U, ComplexType U_p, ComplexType J, ComplexType Eps, unsigned short NOrbitals=3)
RealExpr	CoulombP (std::string const &Label, RealType U, RealType J, RealType Eps, unsigned short NOrbitals=3)
ComplexExpr	CoulombP (std::string const &Label, ComplexType U, ComplexType J, ComplexType Eps, unsigned short NOrbitals=3)
RealExpr	BosonLevel (std::string const &Label, RealType Eps, unsigned short ExtraIndex)
ComplexExpr	BosonLevel (std::string const &Label, ComplexType Eps, unsigned short ExtraIndex)
RealExpr	BosonInteraction (std::string const &Label, RealType U, unsigned short ExtraIndex)
ComplexExpr	BosonInteraction (std::string const &Label, ComplexType U, unsigned short ExtraIndex)
RealExpr	HolsteinInteraction (std::string const &Label, RealType Lambda, unsigned short Orbital, unsigned short BosonExtraIndex)
ComplexExpr	HolsteinInteraction (std::string const &Label, ComplexType Lambda, unsigned short Orbital, unsigned short BosonExtraIndex)

Detailed Description

This namespace encloses factory functions for various terms most commonly used to write a lattice Hamiltonian.

Typedef Documentation

ComplexExpr

using Pomerol::LatticePresets::ComplexExpr = typedef Operators::expression<ComplexType, std::string, unsigned short, spin>

Complex-valued expression built out of lattice creation/annihilation operators. Each operator in the expression carries a site name label (a string index), an integer orbital index and a spin index.

Definition at line 50 of file LatticePresets.hpp.

RealExpr

using Pomerol::LatticePresets::RealExpr = typedef Operators::expression<RealType, std::string, unsigned short, spin>

Real-valued expression built out of lattice creation/annihilation operators. Each operator in the expression carries a site name label (a string index), an integer orbital index and a spin index.

Definition at line 46 of file LatticePresets.hpp.

Enumeration Type Documentation

spin

enum Pomerol::LatticePresets::spin : short

Possible values of spin-1/2 z-projection.

Enumerator
undef	Undefined (useful for bosonic degrees of freedom)
down	Spin down.
up	Spin up.

Definition at line 31 of file LatticePresets.hpp.

Function Documentation

operator<<()

std::ostream& Pomerol::LatticePresets::operator<<	(	std::ostream &	os,
		spin	s
	)

Output stream insertion operator for the spin projection values.

Parameters

[out]	os	Output stream.
[in]	s	Spin projection to be inserted.

Returns

Reference to the output stream.