Thermal conductance in thin wires with surface disorder

TL;DR

This paper presents a wave scattering formalism using a reaction matrix approach to study how surface disorder in thin wires affects their thermal conductance at low temperatures.

Contribution

It introduces a reaction matrix formulation for elastic wave scattering to analyze heat conduction in disordered thin wires, accommodating arbitrary surface disorder.

Findings

Surface disorder correlation significantly influences temperature-dependent heat conductance.

The formalism enables analysis of elastic wave scattering in wires with complex surface features.

The approach provides insights into low-temperature thermal transport in nanoscale wires.

Abstract

Elastic wave characteristics of the heat conduction in low-temperature thin wires can be studied via a wave scattering formalism. A reaction matrix formulation of heat conductance modeled by elastic wave scattering is advocated. This formulation allows us to treat thin wires with arbitrary surface disorder. It is found that the correlation in the surface disorder may significantly affect the temperature dependence of the heat conductance.