Interedge coherent line junctions in Quantum Hall systems

TL;DR

This paper investigates quantum Hall line junctions near barriers, modeling their low-energy physics with the sine-Gordon model, and proposes experimental methods to measure key parameters, highlighting potential for observing spin-incoherent Luttinger liquid behavior.

Contribution

It introduces a theoretical framework for quantum Hall line junctions using the sine-Gordon model and suggests experimental procedures to measure its parameters.

Findings

Proposes experimental methods to measure the sine-Gordon coupling constant and Fermi velocity.

Identifies conditions under which spin-incoherent Luttinger liquid behavior can be observed.

Connects theoretical models with recent experimental studies.

Abstract

In this paper we address some of the properties of quantum Hall line junctions (QHLJ) that occur near barriers separating electron gases on quantum Hall plateaus.In narrow barriers where electron tunneling can occur, the low energy physics of the QHLJ is described by the quantum sine-Gordon model. We propose procedures to study a sort of properties of these systems in relation with recent experimental studies of Kang {\it et al.}, Nature {\bf 403}, 59 (2000). We propose experimental ways of measuring the values of the dimensionless coupling constant characteristic for the Sine-Gordon model as well as its Fermi velocity. When the bulk filling of the 2DEG subsystems is $\nu \sim 2$, these systems can be good candidates for observation of spin-incoherent LL behavior.