2022/03/08 by Fernández, DJ, García-Muñoz, JD · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.2203.03829
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 Schrödinger 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.