Collective mode description for a clean Fermi gas with repulsion in arbitrary dimensions: interaction of spin excitations and its consequences

TL;DR

This paper presents a bosonization approach for clean Fermi gases with repulsion across arbitrary dimensions, revealing spin excitation interactions and resulting in temperature-dependent corrections to thermodynamic properties.

Contribution

It introduces a non-abelian bosonization method that captures spin excitation interactions and sums logarithmic temperature corrections in all dimensions.

Findings

Logarithmic temperature corrections to specific heat and spin susceptibility.

Interaction of spin excitations due to non-abelian structure.

Applicability of the method in 1D, 2D, and 3D systems.

Abstract

We discuss a recent bosonization method developed to study clean Fermi gases with a repulsion in any dimensions. The method enables one to consider both density and spin excitations. It is demonstrated that due to a non-abelian structure of the effective theory, the spin excitations interact with each other, which leads to new logarithmic in temperature corrections to physical quantities. Using a renormalization group scheme constructed for the effective low energy field theory these logarithms are summed up in all orders. Temperature dependent corrections to the specific heat and spin susceptibility are obtained for all dimensions d=1,2,3.