Effects of long-range Coulomb interaction on the quantum transport in fractional quantum Hall edges

TL;DR

This paper investigates how long-range Coulomb interactions influence quantum transport in fractional quantum Hall edges, revealing model-dependent effects on tunneling conductance with temperature variations.

Contribution

It compares the effects of long-range Coulomb interactions on tunneling conductance in two models of fractional quantum Hall edges, providing new insights into their temperature-dependent behavior.

Findings

LRCI reduces conductance in the QPT model below a crossover temperature.

LRCI can enhance conductance in the ET model within certain temperature ranges.

Nonmonotonic temperature dependence of conductance is observed due to LRCI effects.

Abstract

We study the effects of long-range Coulomb interaction (LRCI) on the quantum transport in FQH edges with $\nu=1/(2k+1)$. We consider two models, i.e., the quasi-particle tunneling (QPT) model and the electron tunneling (ET) model at the point contact. The tunneling conductance $G(T)$ is obtained using the renormalization group treatment. In QPT model, it is found that LRCI further reduces $G(T)$ below a crossover temperature $\Lambda_w$. In ET model, on the other hand, there is a temeperature region where LRCI enhances $G(T)$, and nonmonotonic temperature dependence is possible.