On a class of integrable interacting electronic systems with off-diagonal disorder

TL;DR

This paper introduces a class of integrable one-dimensional interacting electronic systems with off-diagonal disorder, where disorder effects can be transformed away, allowing exact solutions and analysis of magnetic properties in mesoscopic rings.

Contribution

It presents a novel integrable model with off-diagonal disorder that can be mapped to ordered systems, enabling exact solutions via Bethe ansatz or bosonization.

Findings

Disorder can be gauged away, simplifying the spectrum analysis.

The magnetic response varies between paramagnetic and diamagnetic depending on disorder and fermion number.

The model provides insights into persistent currents in mesoscopic rings.

Abstract

We report a class of {\it integrable} one-dimensional interacting electronic sy$ with {\it off-diagonal disorder}. For these systems, the disorder can be ``gauged away,''and the spectrum can be mapped completely onto the spectrum of the ordered problem, which can be solved by Bethe ansatz or by bosonization. We study the magnetic properties of the persistent currents in mesoscopic rings in the case in which the ordered system is a Luttinger liquid. The system can be paramagnetic or diamagnetic, depending on the amount of the disorder and the number of fermions in the system.