Majoranapp
A C++ library for studying MZM in non-interacting systems
Spinless Namespace Reference

Classes

class  ChemicalTerm
 chemical potential term

\[ \hat H_{\mu} = \sum_{i}\mu_{i} \hat n_{i} = -i\sum_{i} \frac{\mu_{i}}{2} \gamma_{i}^+ \gamma_{i}^- \]

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class  KineticTerm
 kinetic term

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

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class  ProxTerm
 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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