Electron scattering of mass-inverted in graphene quantum dots

TL;DR

This paper investigates how mass-inverted regions in graphene quantum dots influence electron scattering, revealing significant effects on scattering behavior and zero-energy scattering coefficients.

Contribution

It introduces a detailed analysis of electron scattering in mass-inverted graphene quantum dots with electrostatic potential, highlighting the impact of mass terms on scattering properties.

Findings

Mass terms significantly alter scattering coefficients.

Non-zero scattering at zero energy due to mass effects.

Explicit expressions for scattering efficiency derived.

Abstract

We study the scattering of Dirac electrons of circular graphene quantum dot with mass-inverted subject to electrostatic potential. The obtained solutions of the energy spectrum are used to determine the scattering coefficients at the interface of the two regions. Using the asymptotic solutions at large arguments, we explicitly determine the radial component of reflected current density and the scattering efficiency. It is found that the presence of a mass term outside in addition to another one inside the quantum dot strongly affects the scattering of electrons. In particular, a non-null square modulus of the scattering coefficient is found at zero energy.