Graphene in complex magnetic fields
Mathematical Physics
2022-03-14 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
Exact analytic solutions for an electron in graphene interacting with external complex magnetic fields are found. The eigenvalue problem for the non-hermitian Dirac-Weyl Hamiltonian leads to a pair of intertwined Schr{\"o}dinger equations, which are solved by means of supersymmetric quantum mechanics. Making an analogy with the non-uniform strained graphene a prospective physical interpretation for the complex magnetic field is given. The probability and currents densities are explored and some remarkable differences as compared with the real case are observed.
Cite
@article{arxiv.2203.03829,
title = {Graphene in complex magnetic fields},
author = {DJ Fernández and JD García-Muñoz},
journal= {arXiv preprint arXiv:2203.03829},
year = {2022}
}