Zeeman in X (spin flip) term

\[ \hat H_{\mathrm{Zeeman}\, x} = \sum_{i} \sum_{\sigma\sigma'} V_{i}^X c_{i\sigma}^\dagger (\sigma^x)_{\sigma\sigma'} c_{i\sigma'} = \sum_{i}V_{i}^X\left( c_{i\uparrow}^\dagger c_{i\downarrow} +\mathrm{h.c.}\right)= -i\sum_{i} \frac{V_{i}^X}{2}\left( \gamma_{i\uparrow}^+\gamma_{i\downarrow}^- +\gamma_{i\downarrow}^+ \gamma_{i\uparrow}^- \right) \]

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#include <ZeemanXTerm.hpp>

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

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

static constexpr size_t	locality {1}

Detailed Description

Zeeman in X (spin flip) term

\[ \hat H_{\mathrm{Zeeman}\, x} = \sum_{i} \sum_{\sigma\sigma'} V_{i}^X c_{i\sigma}^\dagger (\sigma^x)_{\sigma\sigma'} c_{i\sigma'} = \sum_{i}V_{i}^X\left( c_{i\uparrow}^\dagger c_{i\downarrow} +\mathrm{h.c.}\right)= -i\sum_{i} \frac{V_{i}^X}{2}\left( \gamma_{i\uparrow}^+\gamma_{i\downarrow}^- +\gamma_{i\downarrow}^+ \gamma_{i\uparrow}^- \right) \]

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Member Function Documentation

◆ Fill()

template<class T >

static void Spinfull::ZeemanXTerm::Fill	(	Hamiltonian< T > &	ham,
		double	flip,
		int	i
	)

inlinestatic

Filler.

Template Parameters

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

Parameters

ham	hamiltonian container
delta	delta potential value \(\Delta_{i}\)
i	site index

Member Data Documentation

◆ locality

constexpr size_t Spinfull::ZeemanXTerm::locality {1}

static

◆ name

const std::string Spinfull::ZeemanXTerm::name {"zeemanX"}