superconducting term

\[ \hat H_{\mathrm{prox}} = \sum_{\langle i,j\rangle} \left(\Delta_{ij}e^{i\phi_{ij}} c_{i}^\dagger c_{j}+\mathrm{h.c.}\right) = i\sum_{\langle i,j\rangle} \frac{\Delta_{ij}}{2}\left( \sin \phi_{ij} \gamma_i^+ \gamma_j^+ +\cos \phi_{ij} \gamma_i^+ \gamma_j^- -\cos \phi_{ij} \gamma_j^+ \gamma_i^- -\sin \phi_{ij} \gamma_i^- \gamma_j^- \right) \]

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#include <ProxTerm.hpp>

Static Public Member Functions
template<class T >
static void	Fill (Hamiltonian< T > &ham, double delta, int i, int j, double phase=0.0)
	Filler. More...

Static Public Attributes
static const std::string	name {Spinfull::ProxTerm::name}

static constexpr size_t	locality {2}

Detailed Description

superconducting term

\[ \hat H_{\mathrm{prox}} = \sum_{\langle i,j\rangle} \left(\Delta_{ij}e^{i\phi_{ij}} c_{i}^\dagger c_{j}+\mathrm{h.c.}\right) = i\sum_{\langle i,j\rangle} \frac{\Delta_{ij}}{2}\left( \sin \phi_{ij} \gamma_i^+ \gamma_j^+ +\cos \phi_{ij} \gamma_i^+ \gamma_j^- -\cos \phi_{ij} \gamma_j^+ \gamma_i^- -\sin \phi_{ij} \gamma_i^- \gamma_j^- \right) \]

Member Function Documentation

◆ Fill()

template<class T >

static void Spinless::ProxTerm::Fill	(	Hamiltonian< T > &	ham,
		double	delta,
		int	i,
		int	j,
		double	phase = `0.0`
	)

inlinestatic

Filler.

Template Parameters

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

Parameters

ham	hamiltonian container
delta	delta potential value \(\Delta_{ij}\)
i	site index
j	site index
phase	superconducting phase value \(\phi_{ij}\)

Member Data Documentation

◆ locality

constexpr size_t Spinless::ProxTerm::locality {2}

static

◆ name

const std::string Spinless::ProxTerm::name {Spinfull::ProxTerm::name}