Intravalley Multiple Scattering of Quasiparticles in Graphene

TL;DR

This paper presents a theoretical framework for analyzing intravalley quasiparticle scattering in graphene caused by multiple short-range impurities, revealing how complex scattering paths influence interference patterns in the local density of states.

Contribution

It introduces a rapid computational method for Green's functions in graphene with arbitrary impurity configurations, highlighting the impact of non-collinear multiple scattering on quasiparticle interference.

Findings

Non-collinear scattering causes pseudospin rotations affecting interference patterns.

The theory predicts significant changes in LDOS fringe shapes and intensities.

Results aid in understanding impurity effects for future graphene device applications.

Abstract

We develop a theoretical description of intravalley scattering of quasiparticles in graphene from multiple short-range scatterers of size much greater than the carbon-carbon bond length. Our theory provides a method to rapidly calculate the Green's function in graphene for arbitrary configurations of scatterers. We demonstrate that non-collinear multiple scattering trajectories generate pseudospin rotations that alter quasiparticle interference, resulting in significant modifications to the shape, intensity, and pattern of the interference fringes in the local density of states (LDOS). We illustrate these effects via theoretical calculations of the LDOS for a variety of scattering configurations in single layer graphene. A clear understanding of impurity scattering in graphene is a step towards exploiting graphene's unique properties to build future devices.