Two impurity Kondo problem under Aharonov--Bohm and Aharonov--Casher Effects

TL;DR

This paper explores how Aharonov--Bohm and Aharonov--Casher effects influence electron transport in a two impurity Kondo system, revealing interference-induced RKKY interactions and analyzing conductance behaviors.

Contribution

It introduces a study of interference effects on the two impurity Kondo problem, highlighting the role of Aharonov--Bohm and Casher effects in modifying RKKY interactions and conductance.

Findings

Interference effects induce Ising-coupled RKKY interactions.

Analysis of spin and charge conductance in different regimes.

Use of slave boson mean field approximation for results.

Abstract

We investigate electron transport under the two impurity Kondo problem with the Aharonov--Bohm and Aharonov--Casher effects. These interference effects induce the Ising-coupled Ruderman--Kittel--Kasuya--Yosida (RKKY) interaction. We discuss the inter- and intra-site spin conductance as well as charge conductance in the Kondo and the mixed-valence regimes using the slave boson mean field approximation.