Complex Supersymmetry in Graphene
Mesoscale and Nanoscale Physics
2022-09-07 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields. Here, we will use complex factorization energies and iterate the method in order to arrive at Hermitian graphene Hamiltonians. Finally, we compare these results with the matrix supersymmetric quantum mechanics approach.
Cite
@article{arxiv.2203.08173,
title = {Complex Supersymmetry in Graphene},
author = {Miguel Castillo-Celeita and Alonso Contreras-Astorga and David J. Fernández C},
journal= {arXiv preprint arXiv:2203.08173},
year = {2022}
}