Non Fermi liquid renormalization of the conductivity of fermions coupled to gauge fields

TL;DR

This paper investigates how gauge field interactions cause non-Fermi liquid behavior in the conductivity of fermions, revealing unusual temperature dependence in both 2D and 3D metals.

Contribution

It applies quantum kinetic equations to analyze gauge interactions' effects on conductivity, highlighting deviations from Fermi liquid theory at low temperatures.

Findings

In 3D, electromagnetic interactions cause non-Fermi liquid temperature dependence.

In 2D, both scalar and vector gauge interactions affect conductivity.

Results suggest gauge fields induce significant renormalization of metallic conductivity.

Abstract

The method of the quantum kinetic equation is applied to the problem of renormalization of the conductivity of normal metals by gauge electron-electron interactions. It is shown that in the three-dimensional case the relativistic electromagnetic interaction (vector interaction of electrons with transverse photons) leads to an unusual temperature dependence, indicating a deviation from the Fermi liquid theory at low temperatures. In two dimensions such corrections are found to result from both the scalar (density-density or Coulomb) and the vector (current-current) gauge interactions.