Temperature dependent effective mass renormalization in a Coulomb Fermi liquid

TL;DR

This paper numerically investigates how the quasiparticle effective mass in Coulomb Fermi liquids varies with temperature and density in 2D and 3D systems, revealing universal and non-universal behaviors.

Contribution

It provides the first detailed numerical analysis of temperature-dependent effective mass renormalization in Coulomb Fermi liquids across different dimensions and densities.

Findings

In 2D, the temperature correction is linear and positive at high densities.

In 2D, the effective mass peaks at intermediate temperatures and shifts with density.

In 3D, the temperature dependence is nonlinear and varies with density, with sign changes in the correction.

Abstract

We calculate numerically the quasiparticle effective mass (m*) renormalization as a function of temperature and electron density in two- and three-dimensional electron systems with long-range Coulomb interaction. In two dimensions, the leading temperature correction is linear and positive with the slope being a universal density independent number in the high density limit. We predict an enhancement of the effective mass at low temperatures and a non-monotonic temperature dependence at higher temperatures (T/T_F ~ 0.1) with the peak shifting toward higher temperatures as density decreases. In three dimensions, we find that the effective mass temperature dependence is nonlinear and non-universal, and depends on the electron density in a complicated way. At very high densities, the leading correction is positive, while at lower densities it changes sign and the effective mass decreases monotonically from its zero temperature value with increasing temperature.