https://doi.org/10.1140/epjp/s13360-022-03077-9
Regular Article
Complex supersymmetry in graphene
1
Physics Department, Cinvestav, P.O. Box. 14-740, 07000, Mexico City, Mexico
2
CONACyT-Physics Department, Cinvestav, P.O. Box. 14-740, 07000, Mexico City, Mexico
3
Canadian Quantum Research Center, 204-3002 32 Ave, V1T 2L7, Vernon, BC, Canada
Received:
2
May
2022
Accepted:
15
July
2022
Published online:
8
August
2022
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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
