Persistent current on a disordered mesoscopic ring with an embedded quantum dot

TL;DR

This paper analytically investigates the ensemble-averaged persistent current in disordered mesoscopic rings with an embedded quantum dot, revealing two resonance peaks due to quantum interference.

Contribution

It introduces an analytical approach using Random Matrix Theory and supersymmetry techniques to study persistent currents in disordered rings with quantum dots, highlighting interference effects.

Findings

Two resonance peaks in the persistent current

Quantum interference causes multiple resonances

Analytical expression for current derived

Abstract

We calculate the ensemble averaged persistent current on disordered mesoscopic rings with an embedded quantum dot. We model the quantum dot as a single resonance and use Random Matrix Theory to model the impurities in the ring. Using Efetov's supersymmetry technique, we develop an analytical expression for the current. We find not only one, but two resonance peaks in the current. This is interpreted as quantum interference phenomenon.