Short and Long Ranged Impurities in Fractional Quantum Hall Systems

TL;DR

This paper investigates how short and long-range impurities affect fractional quantum Hall systems, highlighting the sensitivity of critical mobility to impurity range and the need for further computational understanding.

Contribution

It provides a comparative analysis of short and long-range impurity effects, emphasizing the computational consistency for short-range and qualitative agreement with experiments for long-range impurities.

Findings

Critical mobility is highly sensitive to long-range impurities.

Long-range impurities lead to higher critical mobility than short-range impurities.

Computational models align qualitatively with experimental observations.

Abstract

Short and long-range impurities have been examined for fractional quantum Hall systems. There appears to be a consistent computational picture for short range impurities. In the case of long range impurities, calculations agree qualitatively with experiment, in that the critical mobility is very sensitive to long range impurities and the critical mobility for long range impurities is larger than the critical mobility for short range impurities. The physical mechanism of this sensitivity and a quantitative understanding remain a challenging computational issue.