The 1/r2 t-J model in a magnetic field

TL;DR

This paper provides an exact solution for the one-dimensional supersymmetric t-J model with 1/r2 interaction in a magnetic field, revealing persistent current behavior and violation of Leggett's conjecture in a Luttinger liquid context.

Contribution

It introduces an exact Bethe-ansatz-like solution for the long-range t-J model under magnetic flux, analyzing its persistent currents and theoretical implications.

Findings

Persistent currents computed at zero temperature

Violation of Leggett's conjecture observed

Long-range interaction modifies electron hopping effects

Abstract

We study the one-dimensional supersymmetric t-J model with 1/r2 interaction threaded by magnetic flux. Because of the long range interaction, the effect of this flux leads to a modification of the electron hopping term. We present an exact solution of this model for all values of the flux, concisely formulated as a set of Bethe-ansatz-like equations. This allows a computation of the persistent currents at zero temperature. It is found that the system violates Leggett's conjecture despite the fact that the long range t-J model is a special example of the Luttinger liquid university class.