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

TL;DR

This paper presents a tunable 2D Dirac fermion model in graphene demonstrating super-Klein tunneling, revealing scale invariance and potential for experimental realization, using supersymmetric quantum mechanics for analysis.

Contribution

Introduces a tunable 2D Dirac fermion model in graphene exhibiting super-Klein tunneling, analyzed through supersymmetric quantum mechanics.

Findings

Super-Klein tunneling occurs naturally in the model.

The model exhibits scale invariance and potential invisibility for specific energies.

The framework suggests possible experimental realizations.

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.