Factory functions for fermionic hopping terms

Collaboration diagram for Factory functions for fermionic hopping terms:

Functions
RealExpr	Pomerol::LatticePresets::Hopping (std::string const &Label1, std::string const &Label2, RealType t, unsigned short Orbital1, unsigned short Orbital2, spin Spin1, spin Spin2)
ComplexExpr	Pomerol::LatticePresets::Hopping (std::string const &Label1, std::string const &Label2, ComplexType t, unsigned short Orbital1, unsigned short Orbital2, spin Spin1, spin Spin2)
RealExpr	Pomerol::LatticePresets::Hopping (std::string const &Label1, std::string const &Label2, RealType t, unsigned short Orbital, spin Spin)
ComplexExpr	Pomerol::LatticePresets::Hopping (std::string const &Label1, std::string const &Label2, ComplexType t, unsigned short Orbital, spin Spin)
RealExpr	Pomerol::LatticePresets::Hopping (std::string const &Label1, std::string const &Label2, RealType t, unsigned short Orbital1, unsigned short Orbital2)
ComplexExpr	Pomerol::LatticePresets::Hopping (std::string const &Label1, std::string const &Label2, ComplexType t, unsigned short Orbital1, unsigned short Orbital2)
RealExpr	Pomerol::LatticePresets::Hopping (std::string const &Label1, std::string const &Label2, RealType t, unsigned short NOrbitals=1)
ComplexExpr	Pomerol::LatticePresets::Hopping (std::string const &Label1, std::string const &Label2, ComplexType t, unsigned short NOrbitals=1)

Detailed Description

Function Documentation

Hopping() [1/8]

ComplexExpr Pomerol::LatticePresets::Hopping	(	std::string const &	Label1,
		std::string const &	Label2,
		ComplexType	t,
		unsigned short	NOrbitals = 1
	)

Make a fermionic hopping term \(t \sum_{\alpha\sigma} c^\dagger_{i\alpha\sigma}c_{j\alpha\sigma} + h.c.\) between two lattice sites \(i \neq j\) with a complex hopping matrix element.

Parameters

[in]	Label1	The first lattice site \(i\) connected by this term.
[in]	Label2	The second lattice site \(j\) connected by this term.
[in]	t	Hopping matrix element \(t\).
[in]	NOrbitals	Number of orbitals \(\alpha\) to sum over.

Hopping() [2/8]

ComplexExpr Pomerol::LatticePresets::Hopping	(	std::string const &	Label1,
		std::string const &	Label2,
		ComplexType	t,
		unsigned short	Orbital,
		spin	Spin
	)

Make a fermionic hopping term \(t c^\dagger_{i\alpha\sigma}c_{j\alpha\sigma} + h.c.\) between two lattice sites \(i \neq j\) with a complex hopping matrix element.

Parameters

[in]	Label1	The first lattice site \(i\) connected by this term.
[in]	Label2	The second lattice site \(j\) connected by this term.
[in]	t	Hopping matrix element \(t\).
[in]	Orbital	Orbital index \(\alpha\).
[in]	Spin	Spin component \(\sigma\).

Hopping() [3/8]

ComplexExpr Pomerol::LatticePresets::Hopping	(	std::string const &	Label1,
		std::string const &	Label2,
		ComplexType	t,
		unsigned short	Orbital1,
		unsigned short	Orbital2
	)

Make a fermionic hopping term \(t \sum_\sigma c^\dagger_{i\alpha_1\sigma}c_{j\alpha_2\sigma} + h.c.\) between two lattice sites \(i \neq j\) with a complex hopping matrix element.

Parameters

[in]	Label1	The first lattice site \(i\) connected by this term.
[in]	Label2	The second lattice site \(j\) connected by this term.
[in]	t	Hopping matrix element \(t\).
[in]	Orbital1	Orbital index \(\alpha_1\) on site \(i\) connected by this term.
[in]	Orbital2	Orbital index \(\alpha_2\) on site \(j\) connected by this term.

Hopping() [4/8]

ComplexExpr Pomerol::LatticePresets::Hopping	(	std::string const &	Label1,
		std::string const &	Label2,
		ComplexType	t,
		unsigned short	Orbital1,
		unsigned short	Orbital2,
		spin	Spin1,
		spin	Spin2
	)

Make a fermionic hopping term \(t c^\dagger_{i\alpha_1\sigma_1}c_{j\alpha_2\sigma_2} + h.c.\) between two lattice sites \(i \neq j\) with a complex hopping matrix element.

Parameters

[in]	Label1	The first lattice site \(i\) connected by this term.
[in]	Label2	The second lattice site \(j\) connected by this term.
[in]	t	Hopping matrix element \(t\).
[in]	Orbital1	Orbital index \(\alpha_1\) on site \(i\) connected by this term.
[in]	Orbital2	Orbital index \(\alpha_2\) on site \(j\) connected by this term.
[in]	Spin1	Spin component \(\sigma_1\) on site \(i\) connected by this term.
[in]	Spin2	Spin component \(\sigma_2\) on site \(j\) connected by this term.

Hopping() [5/8]

RealExpr Pomerol::LatticePresets::Hopping	(	std::string const &	Label1,
		std::string const &	Label2,
		RealType	t,
		unsigned short	NOrbitals = 1
	)

Make a fermionic hopping term \(t \sum_{\alpha\sigma} c^\dagger_{i\alpha\sigma}c_{j\alpha\sigma} + h.c.\) between two lattice sites \(i \neq j\) with a real hopping matrix element.

Parameters

[in]	Label1	The first lattice site \(i\) connected by this term.
[in]	Label2	The second lattice site \(j\) connected by this term.
[in]	t	Hopping matrix element \(t\).
[in]	NOrbitals	Number of orbitals \(\alpha\) to sum over.

Hopping() [6/8]

RealExpr Pomerol::LatticePresets::Hopping	(	std::string const &	Label1,
		std::string const &	Label2,
		RealType	t,
		unsigned short	Orbital,
		spin	Spin
	)

Make a fermionic hopping term \(t c^\dagger_{i\alpha\sigma}c_{j\alpha\sigma} + h.c.\) between two lattice sites \(i \neq j\) with a real hopping matrix element.

Parameters

[in]	Label1	The first lattice site \(i\) connected by this term.
[in]	Label2	The second lattice site \(j\) connected by this term.
[in]	t	Hopping matrix element \(t\).
[in]	Orbital	Orbital index \(\alpha\).
[in]	Spin	Spin component \(\sigma\).

Hopping() [7/8]

RealExpr Pomerol::LatticePresets::Hopping	(	std::string const &	Label1,
		std::string const &	Label2,
		RealType	t,
		unsigned short	Orbital1,
		unsigned short	Orbital2
	)

Make a fermionic hopping term \(t \sum_\sigma c^\dagger_{i\alpha_1\sigma}c_{j\alpha_2\sigma} + h.c.\) between two lattice sites \(i \neq j\) with a real hopping matrix element.

Parameters

[in]	Label1	The first lattice site \(i\) connected by this term.
[in]	Label2	The second lattice site \(j\) connected by this term.
[in]	t	Hopping matrix element \(t\).
[in]	Orbital1	Orbital index \(\alpha_1\) on site \(i\) connected by this term.
[in]	Orbital2	Orbital index \(\alpha_2\) on site \(j\) connected by this term.

Hopping() [8/8]

RealExpr Pomerol::LatticePresets::Hopping	(	std::string const &	Label1,
		std::string const &	Label2,
		RealType	t,
		unsigned short	Orbital1,
		unsigned short	Orbital2,
		spin	Spin1,
		spin	Spin2
	)

Make a fermionic hopping term \(t c^\dagger_{i\alpha_1\sigma_1}c_{j\alpha_2\sigma_2} + h.c.\) between two lattice sites \(i \neq j\) with a real hopping matrix element.

Parameters

[in]	Label1	The first lattice site \(i\) connected by this term.
[in]	Label2	The second lattice site \(j\) connected by this term.
[in]	t	Hopping matrix element \(t\).
[in]	Orbital1	Orbital index \(\alpha_1\) on site \(i\) connected by this term.
[in]	Orbital2	Orbital index \(\alpha_2\) on site \(j\) connected by this term.
[in]	Spin1	Spin component \(\sigma_1\) on site \(i\) connected by this term.
[in]	Spin2	Spin component \(\sigma_2\) on site \(j\) connected by this term.