Local analysis of a single impurity on a graphene Josephson Junction

TL;DR

This paper studies how a single impurity affects the local electronic properties of a short ballistic graphene Josephson Junction, revealing insights into scattering processes and impurity-induced bound states.

Contribution

It provides a detailed local analysis of impurity effects in graphene Josephson Junctions using the Dirac-Bogoliubov-De Gennes framework, highlighting the impurity's magnetic nature and subgap states.

Findings

Identification of elastic and inelastic scattering via local density states

Detection of impurity-induced bound states in the subgap regime

Fourier analysis of wavevectors related to high transmissive channels

Abstract

In this work, we investigate the local effects of a single short-range impurity on the electron system of a short ballistic graphene Josephson Junction. Within the Dirac-Bogoliubov-De Gennes approach, we systematically analyze the local density states, whose subgap energy dependence enables us to distinguish between elastic and inelastic scattering processes and identify the magnetic nature of the impurity. Furthermore, we observe that the spatial dependence of the local density of states is a sensitive probe of the microscopic processes resulting in subgap impurity-induced bound states. The Fourier analysis evidences the wavevectors related to the momenta of the high transmissive channels in ballistic graphene.