Umklapp scattering at reconstructed quantum-Hall edges

TL;DR

This paper investigates a newly identified Umklapp-scattering process at reconstructed quantum-Hall edges with three chiral excitation branches, revealing its impact on edge Luttinger-liquid properties through exact correlation function analysis.

Contribution

It introduces and analyzes a novel Umklapp-scattering process at reconstructed quantum-Hall edges, providing exact results for correlation functions using bosonization and refermionization.

Findings

Identification of a new Umklapp process at quantum-Hall edges

Exact correlation functions for edge excitations

Alteration of Luttinger-liquid behavior due to Umklapp scattering

Abstract

We study the low-lying excitations of a quantum-Hall sample that has undergone edge reconstruction such that there exist three branches of chiral edge excitations. Among the interaction processes that involve electrons close to the three Fermi points is a new type of Umklapp-scattering process which has not been discussed before. Using bosonization and a refermionization technique, we obtain exact results for electronic correlation functions and discuss the effect Umklapp scattering has on the Luttinger-liquid properties of quantum-Hall edges.