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

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 tran...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2017-09, Vol.50 (36), p.365205
Main Authors: Schulze-Halberg, Axel, Roy, Pinaki
Format: Article
Language:English
Subjects:
Dirac equation
graphene
supersymmetry
zero-energy state
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Summary: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.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aa8249