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Open Quantum Systems Decoherence

Construction of zero energy states in graphene through the supersymmetry formalism

arXiv
Authors: Axel Schulze Halberg, Pinaki Roy

Year

2017

Paper ID

44787

Status

Preprint

Abstract Read

~2 min

Abstract Words

62

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • We devise a supersymmetry-based method for the construction of zero-energy states in graphene.

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