#include <SpinBase.hpp>

Inheritance diagram for Xped::SpinBase< Symmetry_, order >:

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Public Types
using	Symmetry = Symmetry_

using	OperatorType = SiteOperator< Scalar, Symmetry >

using	OperatorTypeC = SiteOperator< std::complex< Scalar >, Symmetry >

using	qType = typename Symmetry::qType

Public Member Functions
	SpinBase ()=default

	SpinBase (std::size_t L_input, std::size_t D_input)

std::size_t	dim () const

std::size_t	orbitals () const

std::size_t	get_D () const

OperatorType	sign (std::size_t orb1=0, std::size_t orb2=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	n (std::size_t orbital=0) const

OperatorType	Id (std::size_t orbital=0) const

OperatorType	Zero (std::size_t orbital=0) const

Qbasis< Symmetry, 1 >	get_basis () const


template<class Dummy = Symmetry>
std::enable_if< Dummy::IS_SPIN_SU2(), OperatorType >::type	S (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if< Dummy::IS_SPIN_SU2(), OperatorType >::type	Sdag (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if< Dummy::IS_SPIN_SU2(), OperatorType >::type	Q (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if< Dummy::IS_SPIN_SU2(), OperatorType >::type	Qdag (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	Qz (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	Qp (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	Qm (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	Qpz (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	Qmz (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	Sz (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	Sp (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	Sm (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if< Dummy::NO_SPIN_SYM(), OperatorType >::type	Sx (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if< Dummy::NO_SPIN_SYM(), OperatorTypeC >::type	Sy (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if< Dummy::NO_SPIN_SYM(), OperatorType >::type	iSy (std::size_t orbital=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	Scomp (SPINOP_LABEL Sa, int orbital=0) const

template<class Dummy = Symmetry>
std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type	Qcomp (SPINOP_LABEL Sa, int orbital=0) const

Public Member Functions inherited from Xped::Spin< Symmetry_, spin_index >
	Spin ()

	Spin (std::size_t D_input)

OperatorType	Id_1s () const

OperatorType	Zero_1s () const

OperatorType	F_1s () const

OperatorType	Sz_1s () const

OperatorType	Sp_1s () const

OperatorType	Sm_1s () const

OperatorType	Qz_1s () const

OperatorType	Qp_1s () const

OperatorType	Qm_1s () const

OperatorType	Qpz_1s () const

OperatorType	Qmz_1s () const

OperatorType	exp_i_pi_Sx () const

OperatorType	exp_i_pi_Sy () const

OperatorType	exp_i_pi_Sz () const

Qbasis< Symmetry, 1 >	basis_1s () const

Additional Inherited Members
Protected Member Functions inherited from Xped::Spin< Symmetry_, spin_index >
void	fill_basis ()

void	fill_SiteOps ()

qType	getQ (SPINOP_LABEL Sa) const

Protected Attributes inherited from Xped::Spin< Symmetry_, spin_index >
std::size_t	D

Qbasis< Symmetry, 1 >	basis_1s_

std::unordered_map< std::string, std::pair< qType, std::size_t > >	labels

OperatorType	Id_1s_

OperatorType	Zero_1s_

OperatorType	F_1s_

OperatorType	n_1s_

OperatorType	Sz_1s_

OperatorType	Sp_1s_

OperatorType	Sm_1s_

OperatorType	Qz_1s_

OperatorType	Qp_1s_

OperatorType	Qm_1s_

OperatorType	Qpz_1s_

OperatorType	Qmz_1s_

OperatorType	exp_i_pi_Sx_1s_

OperatorType	exp_i_pi_Sy_1s_

OperatorType	exp_i_pi_Sz_1s_

Detailed Description

template<typename Symmetry_, std::size_t order = 0>
class Xped::SpinBase< Symmetry_, order >

This class provides the local operators for general spins with quantum number S.

Member Typedef Documentation

◆ OperatorType

template<typename Symmetry_ , std::size_t order = 0>

using Xped::SpinBase< Symmetry_, order >::OperatorType = SiteOperator<Scalar, Symmetry>

◆ OperatorTypeC

template<typename Symmetry_ , std::size_t order = 0>

using Xped::SpinBase< Symmetry_, order >::OperatorTypeC = SiteOperator<std::complex<Scalar>, Symmetry>

◆ qType

template<typename Symmetry_ , std::size_t order = 0>

using Xped::SpinBase< Symmetry_, order >::qType = typename Symmetry::qType

◆ Symmetry

template<typename Symmetry_ , std::size_t order = 0>

using Xped::SpinBase< Symmetry_, order >::Symmetry = Symmetry_

Constructor & Destructor Documentation

◆ SpinBase() [1/2]

template<typename Symmetry_ , std::size_t order = 0>

Xped::SpinBase< Symmetry_, order >::SpinBase ( )

default

◆ SpinBase() [2/2]

template<typename Symmetry_ , std::size_t order>

Xped::SpinBase< Symmetry_, order >::SpinBase	(	std::size_t	L_input,
		std::size_t	D_input
	)

Parameters

L_input	: the amount of orbitals
D_input	: \(D = 2S+1\)

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Member Function Documentation

◆ dim()

template<typename Symmetry_ , std::size_t order = 0>

std::size_t Xped::SpinBase< Symmetry_, order >::dim ( ) const

inline

amount of states

◆ get_basis()

template<typename Symmetry_ , std::size_t order = 0>

Qbasis< Symmetry, 1 > Xped::SpinBase< Symmetry_, order >::get_basis ( ) const

inline

Creates the full Hubbard Hamiltonian on the supersite with orbital-dependent U.

Parameters

U	: \(U\) for each orbital
Uph	: particle-hole symmetric \(U\) for each orbital (times \((n_{\uparrow}-1/2)(n_{\downarrow}-1/2)+1/4\))
Eorb	: \(\varepsilon\) onsite energy for each orbital
t	: \(t\)
V	: \(V\)
Vz	: \(V_z\)
Vxy	: \(V_{xy}\)
J	: \(J\) Creates the full Heisenberg (XXZ) Hamiltonian on the supersite.
Jxy	: \(J^{xy}\)
Jz	: \(J^{z}\)
Bz	: \(B^{z}_i\)
Bx	: \(B^{x}_i\)
mu	: \(\mu\) (for spinless fermions, couples to n=1/2-Sz)
Kz	: \(K^{z}_i\)
Kx	: \(K^{x}_i\)
Dy	: \(D^{y}\) Creates the full Heisenberg (XYZ) Hamiltonian on the supersite.
J	: \(J^{\alpha}\), \(\alpha \in \{x,y,z\} \)
B	: \(B^{\alpha}_i\), \(\alpha \in \{x,y,z\} \)
K	: \(K^{\alpha}_i\), \(\alpha \in \{x,y,z\} \)
D	: \(D^{\alpha}\), \(\alpha \in \{x,y,z\} \) Returns the basis.

◆ get_D()

template<typename Symmetry_ , std::size_t order = 0>

std::size_t Xped::SpinBase< Symmetry_, order >::get_D ( ) const

inline

\(D=2S+1\)

◆ Id()

template<typename Symmetry_ , std::size_t order>

SiteOperator< double, Symmetry_ > Xped::SpinBase< Symmetry_, order >::Id ( std::size_t orbital = 0 ) const

Identity

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◆ iSy()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if< Dummy::NO_SPIN_SYM(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::iSy ( std::size_t orbital = 0 ) const

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◆ n()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if<!Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::n ( std::size_t orbital = 0 ) const

Occupation number operator

Parameters

orbital : orbital index

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◆ orbitals()

template<typename Symmetry_ , std::size_t order = 0>

std::size_t Xped::SpinBase< Symmetry_, order >::orbitals ( ) const

inline

amount of orbitals

◆ Q()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if< Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Q ( std::size_t orbital = 0 ) const

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◆ Qcomp()

template<typename Symmetry_ , std::size_t order = 0>

template<class Dummy = Symmetry>

std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type Xped::SpinBase< Symmetry_, order >::Qcomp	(	SPINOP_LABEL	Sa,
		int	orbital = `0`
	)		const

inline

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◆ Qdag()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if< Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Qdag ( std::size_t orbital = 0 ) const

◆ Qm()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if<!Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Qm ( std::size_t orbital = 0 ) const

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◆ Qmz()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if<!Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Qmz ( std::size_t orbital = 0 ) const

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◆ Qp()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if<!Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Qp ( std::size_t orbital = 0 ) const

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◆ Qpz()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if<!Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Qpz ( std::size_t orbital = 0 ) const

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◆ Qz()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if<!Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Qz ( std::size_t orbital = 0 ) const

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◆ S()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if< Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::S ( std::size_t orbital = 0 ) const

Orbital spin

Parameters

orbital : orbital index

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◆ Scomp()

template<typename Symmetry_ , std::size_t order = 0>

template<class Dummy = Symmetry>

std::enable_if<!Dummy::IS_SPIN_SU2(), OperatorType >::type Xped::SpinBase< Symmetry_, order >::Scomp	(	SPINOP_LABEL	Sa,
		int	orbital = `0`
	)		const

inline

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◆ Sdag()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if< Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Sdag ( std::size_t orbital = 0 ) const

Orbital spin†

Parameters

orbital : orbital index

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◆ sign()

template<typename Symmetry_ , std::size_t order>

SiteOperator< double, Symmetry_ > Xped::SpinBase< Symmetry_, order >::sign	(	std::size_t	orb1 = `0`,
		std::size_t	orb2 = `0`
	)		const

Fermionic sign for the hopping between two orbitals of nearest-neighbour supersites of a ladder.

Parameters

orb1	: orbital on supersite i
orb2	: orbital on supersite i+1

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◆ Sm()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if<!Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Sm ( std::size_t orbital = 0 ) const

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◆ Sp()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if<!Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Sp ( std::size_t orbital = 0 ) const

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◆ Sx()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if< Dummy::NO_SPIN_SYM(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Sx ( std::size_t orbital = 0 ) const

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◆ Sy()

template<typename Symmetry , std::size_t order>

template<typename Dummy >

std::enable_if< Dummy::NO_SPIN_SYM(), SiteOperator< std::complex< double >, Symmetry > >::type Xped::SpinBase< Symmetry, order >::Sy ( std::size_t orbital = 0 ) const

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◆ Sz()

template<typename Symmetry_ , std::size_t order>

template<typename Dummy >

std::enable_if<!Dummy::IS_SPIN_SU2(), SiteOperator< double, Symmetry_ > >::type Xped::SpinBase< Symmetry_, order >::Sz ( std::size_t orbital = 0 ) const

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◆ Zero()

template<typename Symmetry_ , std::size_t order>

SiteOperator< double, Symmetry_ > Xped::SpinBase< Symmetry_, order >::Zero ( std::size_t orbital = 0 ) const

Identity

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

include/Xped/Physics/SpinBase.hpp

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ OperatorType

◆ OperatorTypeC

◆ qType

◆ Symmetry

Constructor & Destructor Documentation

◆ SpinBase() [1/2]

◆ SpinBase() [2/2]

Member Function Documentation

◆ dim()

◆ get_basis()

◆ get_D()

◆ Id()

◆ iSy()

◆ n()

◆ orbitals()

◆ Q()

◆ Qcomp()

◆ Qdag()

◆ Qm()

◆ Qmz()

◆ Qp()

◆ Qpz()

◆ Qz()

◆ S()

◆ Scomp()

◆ Sdag()

◆ sign()

◆ Sm()

◆ Sp()

◆ Sx()

◆ Sy()

◆ Sz()

◆ Zero()