Construction of zero-energy states in graphene through the supersymmetry formalism

Article Type

Research Article

Publication Title

Journal of Physics A: Mathematical and Theoretical

Abstract

We devise a supersymmetry-based method for the construction of zero-energy states in graphene. Our method is applied to a two-dimensional massless Dirac equation with a hyperbolic scalar potential. We determine supersymmetric partners of our initial system and derive a reality condition for the transformed potential. The Dirac potentials generated by our method can be used to approximate interactions that are experimentally realizable.

DOI

10.1088/1751-8121/aa8249

Publication Date

8-11-2017

Comments

Open Access, Green

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