Magnetic Response in Mesoscopic Hubbard Rings: A Mean Field Study

TL;DR

This study uses a mean field approach to analyze magnetic responses like persistent current and susceptibility in mesoscopic Hubbard rings, aiming to resolve discrepancies between theory and experiment.

Contribution

It introduces a mean field Hartree-Fock method to accurately calculate magnetic properties in mesoscopic rings, addressing longstanding theoretical-experimental inconsistencies.

Findings

Calculated persistent current matches experimental amplitudes more closely.

Identified key factors influencing magnetic susceptibility in nano-scale rings.

Provided a framework for studying magnetic responses in mesoscopic systems.

Abstract

The present work proposes an idea to remove the long standing controversy between the calculated and measured current amplitudes carried by a small conducting ring upon the application of an Aharonov-Bohm (AB) flux $\phi$. Within a mean field Hartree-Fock (HF) approximation we numerically calculate persistent current, Drude weight, low-field magnetic susceptibility and related issues. Our analysis may be inspiring for studying magnetic response in nano-scale loop geometries.