Related papers: Super-Klein tunneling in 2D Lorentzian-type barriers in graphene

Super-Klein tunneling in 2D Lorentzian-type barriers in graphene

URL: http://arxiv.org/abs/2603.20950v1
Date: Sat, 21 Mar 2026 21:11:58 GMT
Title: Super-Klein tunneling in 2D Lorentzian-type barriers in graphene
Abstract summary: We introduce a two-dimensional model of spin-1/2 Dirac fermions in graphene subjected to a highly tunable electric field.<n>The electric field can be continuously interpolated between two limiting configurations.<n>Super-Klein tunneling arises naturally as a consequence of the intrinsic connection to free-particle dynamics.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We introduce a two-dimensional model of spin-1/2 Dirac fermions in graphene subjected to a highly tunable electric field, which exhibits super-Klein tunneling. The electric field can be continuously interpolated between two limiting configurations: a uniform electrostatic Lorentzian barrier with translational invariance and a chain of well-separated electrostatic scatterers. We demonstrate that super-Klein tunneling arises naturally as a direct consequence of the intrinsic connection of the model to free-particle dynamics, a relation that is established through methods of supersymmetric quantum mechanics, which provide an elegant and analytically tractable framework. Besides the mentioned super-Klein tunneling, scale invariance of the model and invisibility of the potential for particles of specific energy are revealed, and possible routes toward experimental realization are discussed.

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