Complex Supersymmetry in Graphene

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.

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Cited by in corpus (4)

• Flat-band engineering of quasi-one-dimensional systems via supersymmetric transformations
• Graphene Dirac fermions in symmetric electric and magnetic fields: the case of an electric square well
• Bilayer graphene in periodic and quasiperiodic magnetic superlattices
• Reflectionless pseudospin-1 Dirac systems via Darboux transformation and flat band solutions