Related papers: Graphene in complex magnetic fields

Graphene in complex magnetic fields

URL: http://arxiv.org/abs/2203.03829v2
Date: Fri, 11 Mar 2022 00:39:12 GMT
Title: Graphene in complex magnetic fields
Authors: DJ Fern\'andez and JD Garc\'ia-Mu\~noz
Abstract summary: The eigenvalue problem for the non-hermitian Dirac-Weyl Hamiltonian leads to a pair of intertwined Schr"odinger equations. The probability and currents densities are explored and some remarkable differences as compared with the real case are observed.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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