Transport in p-wave interacting Fermi gases

TL;DR

This paper investigates how p-wave interactions influence transport properties like shear viscosity and thermal conductivity in spin-polarized Fermi gases, revealing unique resonance behaviors and the independence of the Prandtl number from interaction details.

Contribution

It provides a detailed analysis of the dependence of transport coefficients on effective range and scattering volume in p-wave Fermi gases, highlighting differences from s-wave systems.

Findings

Shear viscosity and thermal conductivity depend explicitly on effective range near resonance.

The Prandtl number remains unaffected by interactions at low energy.

A resonance at weak attraction causes a dip in shear viscosity at specific temperatures.

Abstract

The scattering properties of spin-polarized Fermi gases are dominated by p-wave interactions. Besides their inherent angular dependence, these interactions differ from their s-wave counterparts as they also require the presence of a finite effective range in order to understand the low-energy properties of the system. In this article we examine how the shear viscosity and thermal conductivity of a three-dimensional spin-polarized Fermi gas in the normal phase depend on the effective range and the scattering volume in both the weakly and strongly interacting limits. We show that although the shear viscosity and thermal conductivity both explicitly depend on the effective range near resonance, the Prandtl number which parametrizes the ratio of momentum to thermal diffusivity does not have an explicit interaction dependence both at resonance and for weak interactions in the low-energy limit. In contrast to s-wave systems, p-wave scattering exhibits an additional resonance at weak attraction from a quasi-bound state at positive energies, which leads to a pronounced dip in the shear viscosity at specific temperatures.