QHE of Bilayer Systems in the Presence of Tunneling -- $\nu=1/q$ case --

TL;DR

This paper investigates the transport properties and tunneling effects in bilayer quantum Hall systems at filling factor /q, revealing conditions under which tunneling is irrelevant and analyzing temperature-dependent conductance.

Contribution

It introduces an edge theory approach to study tunneling effects in bilayer quantum Hall systems at /q, highlighting the irrelevance of tunneling for /2 and below.

Findings

Tunneling is irrelevant for /2 and lower at low temperatures.

Temperature dependence of conductance is analyzed for single-layer contact.

Edge theory effectively describes tunneling phenomena in these systems.

Abstract

Transport properties of bilayer quantum Hall systems at $\nu=1/q$, where $q$ is an odd integer, are investigated. The edge theory is used for the investigation, since tunneling between the two layers is assumed to occur on the edge of the sample because of the bulk incompressibility. It is shown that in the case of the independent Laughlin state tunneling is irrelevant when $\nu<1/2$ in the low temperature and long wave length limit. The temperature dependence of two-terminal conductance of the system in which only one of the two layers is contacted with electrode is discussed.