Mie scattering analog in graphene: lensing, particle confinement, and depletion of Klein tunneling

TL;DR

This paper explores how circular gated regions in graphene can manipulate electron waves, enabling lensing, confinement, and control of Klein tunneling through analogies with Mie scattering.

Contribution

It introduces a novel analogy between Mie scattering and electron wave propagation in graphene, demonstrating control over electron behavior using quantum dot-like regions.

Findings

Large dots enable electron lensing.

Small dots cause resonant confinement in quasibound states.

Fano resonance can suppress Klein tunneling.

Abstract

Guided by the analogy to Mie scattering of light on small particles we show that the propagation of a Dirac-electron wave in graphene can be manipulated by a circular gated region acting as a quatum dot. Large dots enable electron lensing, while for smaller dots resonant scattering entails electron confinement in quasibound states. Forward scattering and Klein tunneling can be almost switched off for small dots by a Fano resonance arising from the interference between resonant scattering and the background partition.