Construction of zero-energy states in graphene through the supersymmetry formalism. (11th August 2017)

• Record Type: Journal Article
• Authors: Schulze-Halberg, Axel; Roy, Pinaki
• Is Part Of: Journal of physics. Volume 50:Number 36(2017)
• Publication Date: 2017-08-11
• Subjects: graphene -- zero-energy state -- supersymmetry -- Dirac equation; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa8249
• Languages: English
• ISSNs: 1751-8113

Abstract

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.