Logarithmic Temperature Dependence of Conductivity at Half Filled Landau Level

TL;DR

This paper investigates how the diagonal conductivity at half filled Landau levels varies with temperature, revealing a logarithmic correction due to composite fermion interactions, consistent with experimental data.

Contribution

It introduces a theoretical analysis of the temperature dependence of conductivity at half filled Landau levels using composite fermion theory, highlighting a logarithmic correction.

Findings

Identifies a leading $ ext{log} T$ correction to conductivity.

Shows the correction's prefactor is strongly enhanced.

Finds agreement with recent experimental observations.

Abstract

We study temperature dependence of diagonal conductivity at half filled Landau level by means of the theory of composite fermions in the weakly disordered regime $(k_{F}l>>1)$. At low temperatures we find the leading $\log T$ correction resulting from interference between impurity scattering and gauge interactions of composite fermions. The prefactor appears to be strongly enhanced as compared to the standard Altshuler-Aronov term in agreement with recent experimental observations.