Giant Charge Relaxation Resistance in the Anderson Model

TL;DR

This paper analyzes the charge relaxation resistance in the Anderson model, revealing a giant resistance peak at intermediate magnetic fields due to Kondo singlet destruction, using a Fermi liquid approach and Bethe ansatz.

Contribution

It derives a generalized Korringa-Shiba formula for the Anderson model and characterizes the giant resistance peak analytically in the Kondo regime.

Findings

Giant charge relaxation resistance occurs at intermediate magnetic fields.

The resistance peak diminishes at the particle-hole symmetric point.

Scaling laws for the resistance peak are analytically established.

Abstract

We investigate the dynamical charge response of the Anderson model viewed as a quantum RC circuit. Applying a low-energy effective Fermi liquid theory, a generalized Korringa-Shiba formula is derived at zero temperature, and the charge relaxation resistance is expressed solely in terms of static susceptibilities which are accessible by Bethe ansatz. We identify a giant charge relaxation resistance at intermediate magnetic fields related to the destruction of the Kondo singlet. The scaling properties of this peak are computed analytically in the Kondo regime. We also show that the resistance peak fades away at the particle-hole symmetric point.