Super-Klein tunneling of Dirac fermions through electrostatic gratings in graphene

TL;DR

This paper demonstrates that two-dimensional Dirac fermions in graphene can exhibit perfect omnidirectional transmission through electrostatic gratings at specific energies, while also supporting localized states, using supersymmetry techniques.

Contribution

The study introduces a supersymmetry-based method to model Dirac fermions with electrostatic gratings and reveals conditions for perfect transmission and localized states.

Findings

Omnidirectional perfect transmission occurs at specific energies.

Electrostatic gratings host strongly localized states.

Supersymmetry techniques effectively model Dirac fermion behavior.

Abstract

We use the Wick-rotated time-dependent supersymmetry to construct models of two-dimensional Dirac fermions in presence of an electrostatic grating. We show that there appears omnidirectional perfect transmission through the grating at specific energy. Additionally to being transparent for incoming fermions, the grating hosts strongly localized states.