Transport in Fermi Liquids Confined by Rough Walls

TL;DR

This paper presents theoretical calculations of thermal conductivity in Fermi liquid 3He confined by rough surfaces, accounting for surface roughness effects and their impact on transport properties at various temperatures.

Contribution

It introduces a model incorporating surface roughness power spectrum into thermal conductivity calculations for confined Fermi liquids, bridging low and high-temperature regimes.

Findings

Transport limited by surface roughness at low temperatures

Transition to bulk behavior at high temperatures

Preliminary calculations of thermal conductivity coefficients

Abstract

I present theoretical calculations of the thermal conductivity of Fermi liquid 3He confined to a slab of thickness of order 100nm. The effect of the roughness of the confining surfaces is included directly in terms of the surface roughness power spectrum which may be determined experimentally. Transport at low temperatures is limited by scattering off rough surfaces and evolves into the known high-temperature limit in bulk through an anomalous regime in which both inelastic quasiparticle scattering and elastic scattering off the rough surface coexist. I show preliminary calculations for the coefficients of thermal conductivity. These studies are applicable in the context of electrical transport in metal nanowires as well as experiments that probe the superfluid phase diagram of liquid 3He in a slab geometry.