Kondo temperature for a quantum dot in an Aharanov-Bohm ring

TL;DR

This paper investigates how the Kondo temperature in a quantum dot within an Aharonov-Bohm ring varies due to disorder and magnetic flux, revealing significant fluctuations caused by the ring's topology.

Contribution

It introduces a stochastic element into the scaling equations for the Kondo temperature, accounting for disorder and chaos in the ring's topology.

Findings

Kondo temperature exhibits large fluctuations with magnetic flux.

Disorder and chaos induce stochastic terms in the renormalization process.

Topology significantly influences quantum dot Kondo physics.

Abstract

We study the Kondo temperature of a quantum dot embedded into one arm of an Aharonov-Bohm interferometer. The topology of a disordered or chaotic Aharanov-Bohm ring leads to a stochastic term in the scaling equation and in the renormalization procedure. As a result, the Kondo temperature displays significant fluctuations as a function of magnetic flux.