kinetic term

\[ \hat H_{\mathrm{kin}} = \sum_{\langle i,j\rangle} \sum_\sigma\left(t_{ij} c_{i\sigma}^\dagger c_{j\sigma}+\mathrm{h.c.}\right) = -i\sum_{\langle i,j\rangle} \sum_\sigma\frac{t_{ij}}{2}\left( \gamma_{i\sigma}^+ \gamma_{j\sigma}^- + \gamma_{j\sigma}^+ \gamma_{i\sigma}^- \right) \]

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#include <KineticTerm.hpp>

Static Public Member Functions
template<class T >
static void	Fill (Hamiltonian< T > &ham, double t_integral, int i, int j)
	Filler. More...

Static Public Attributes
static const std::string	name {"t_integral"}

static constexpr size_t	locality {2}

Detailed Description

kinetic term

\[ \hat H_{\mathrm{kin}} = \sum_{\langle i,j\rangle} \sum_\sigma\left(t_{ij} c_{i\sigma}^\dagger c_{j\sigma}+\mathrm{h.c.}\right) = -i\sum_{\langle i,j\rangle} \sum_\sigma\frac{t_{ij}}{2}\left( \gamma_{i\sigma}^+ \gamma_{j\sigma}^- + \gamma_{j\sigma}^+ \gamma_{i\sigma}^- \right) \]

Member Function Documentation

◆ Fill()

template<class T >

static void Spinfull::KineticTerm::Fill	(	Hamiltonian< T > &	ham,
		double	t_integral,
		int	i,
		int	j
	)

inlinestatic

Filler.

Template Parameters

T	matrix type, support for: arma::mat, arma::sp_mat

Parameters

ham	hamiltonian container
t_integral	hopping value \(t_{ij}\)
i	site index
j	site index

Member Data Documentation

◆ locality

constexpr size_t Spinfull::KineticTerm::locality {2}

static

◆ name

const std::string Spinfull::KineticTerm::name {"t_integral"}