Majoranapp
A C++ library for studying MZM in non-interacting systems
RashbaXTerm.hpp File Reference
#include "../Hamiltonian.hpp"
#include "../EnumGamma.hpp"
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Classes

class  Spinfull::RashbaXTerm
 Rashba X term

\[ \hat H_{\mathrm{Rashba}\, x} = \sum_{\langle i,j\rangle}\sum_{\sigma\sigma'} \alpha_{ij}^x c_{i\sigma}^\dagger (i\sigma^x)_{\sigma\sigma'} c_{j\sigma'} +\mathrm{h.c.}= \sum_{\langle i,j\rangle} i\alpha_{ij}^x \left( c_{i\uparrow}^\dagger c_{j\downarrow} +c_{i\downarrow}^\dagger c_{j\uparrow}\right) +\mathrm{h.c.} = i\sum_{\langle i,j\rangle} \frac{\alpha_{ij}^x}{2}\left( \gamma_{i\uparrow}^+ \gamma_{j\downarrow}^+ +\gamma_{j\downarrow}^- \gamma_{i\uparrow}^- +\gamma_{i\downarrow}^+ \gamma_{j\uparrow}^+ +\gamma_{j\uparrow}^- \gamma_{i\downarrow}^- \right) \]

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Namespaces

 Spinfull