SU(N) Fermi liquid at finite temperature

TL;DR

This paper investigates the non-analytic temperature dependence of the thermodynamic potential in an SU(N) symmetric Fermi gas, focusing on the $T^4 \, \ln T$ term and its experimental observability.

Contribution

It provides a detailed analysis of the $T^4 \, \ln T$ contribution to the thermodynamic potential in SU(N) Fermi liquids and discusses experimental extraction methods.

Findings

Identifies the temperature range where the $T^4 \ln T$ term dominates.

Proposes experimental techniques to observe the non-analytic temperature dependence.

Analyzes the implications of SU(N) symmetry on Fermi liquid thermodynamics.

Abstract

We consider the thermodynamic potential $\Omega$ of an N component Fermi gas with a short range interaction obeying SU(N) symmetry. We analyze especially the part of $\Omega$ that depends on the temperature T non-analytically for small T . We examine the temperature range where one can observe this $T^4 ln T$ contribution and discuss how it can be extracted experimentally.