Novel Finite Temperature Conductivity in Quantum Hall Systems

TL;DR

This paper investigates finite temperature effects on quantum Hall systems, revealing a novel temperature dependence of Hall conductivity due to anomalous translation generators, which affects the universality of quantization.

Contribution

It introduces a new temperature-dependent behavior of Hall conductivity in quantum Hall systems caused by anomalous translation generators, highlighting the loss of universality at finite temperatures.

Findings

Hall conductivity deviates from zero-temperature quantization at finite T

Deviation controlled by a sample-specific parameter T_0

Universality of quantization is not preserved at finite temperatures

Abstract

We study quantum Hall systems (mainly the integer case) at finite temperatures and show that there is a novel temperature dependence even for a pure system, thanks to the `anomalous' nature of generators of translation. The deviation of Hall conductivity from its zero temperature value is controlled by a parameter $T_0 =\pi \rho /m^\ast N$ which is sample specific and hence the universality of quantization is lost at finite temperatures.