Kondo signature in heat transfer via a local two-state system

TL;DR

This paper investigates the Kondo effect in heat transfer through a local two-state system, revealing characteristic temperature-dependent conductance behaviors and drawing parallels with electronic Kondo phenomena.

Contribution

It demonstrates the Kondo effect in thermal conductance using Monte Carlo calculations and maps the spin-boson model onto the Kondo model with anisotropic coupling.

Findings

Thermal conductance scales with temperature as (T/T_K)^3 below T_K.

Above T_K, conductance follows a power law with exponent 2α-1.

The study highlights similarities between heat and electric Kondo signatures.

Abstract

We study the Kondo effect in heat transport via a local two-state system. This system is described by the spin-boson Hamiltonian with Ohmic dissipation, which can be mapped onto the Kondo model with anisotropic exchange coupling. We calculate thermal conductance by the Monte Carlo method based on the exact formula. Thermal conductance has a scaling form \kappa = (k_B^2 T_K/\hbar) f(\alpha,T/T_K ), where T_K and \alpha indicate the Kondo temperature and dimensionless coupling strength, respectively. Temperature dependence of conductance is classified by the Kondo temperature as \kappa\propto (T/T_K )^3 for T\ll T_K and \kappa\propto (k_B T / \hbar\omega_c)^{2\alpha-1} for T\gg T_K. Similarities to the Kondo signature in electric transport are discussed.