Quantum corrections to the conductivity of fermion - gauge field models: Application to half filled Landau level and high-$T_c$ superconductors

TL;DR

This paper calculates quantum corrections to the conductivity in 2D fermion-gauge field systems, revealing large temperature-dependent effects relevant to quantum Hall states and high-temperature superconductors.

Contribution

It introduces a calculation of quantum corrections in fermion-gauge models applicable to fractional quantum Hall and high-$T_c$ superconductors, highlighting significant temperature-dependent effects.

Findings

Large quantum corrections varying with temperature regimes

Linear and quadratic dependence on the logarithm of temperature

Implications for understanding conductivity in quantum Hall and superconducting materials

Abstract

We calculate the Altshuler-Aronov type quantum correction to the conductivity of $2d$ charge carriers in a random potential (or random magnetic field) coupled to a transverse gauge field. The gauge fields considered simulate the effect of the Coulomb interaction for the fractional quantum Hall state at half filling and for the $t-J$ model of high-$T_c$ superconducting compounds. We find an unusually large quantum correction varying linearly or quadratically with the logarithm of temperature, in different temperature regimes.