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arXiv · 1707.01724

Construction of zero energy states in graphene through the supersymmetry formalism

Axel Schulze Halberg·Pinaki Roy
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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.

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Axel Schulze Halberg, Pinaki Roy. 2017-07-06. Construction of zero energy states in graphene through the supersymmetry formalism. https://doi.org/10.1088/1751-8121/aa8249

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