Integrability and coherence of hopping between 1D correlated electrons systems

TL;DR

This paper provides numerical evidence that electron hopping coherence in 1D correlated systems is linked to integrability, showing coherence in integrable cases and incoherence otherwise, independent of the exponent .

Contribution

It demonstrates a connection between integrability and hopping coherence in 1D correlated electron systems, highlighting that coherence is characteristic of integrable models.

Findings

Coherent hopping occurs at integrable points J=0 and J=2.

Incoherent hopping is observed in non-integrable cases.

Hopping coherence is not related to the exponent  value.

Abstract

We present numerical evidence that the hopping of electrons between chains described by the $t-J$ model is coherent in the integrable cases ($J=0$ and $J=2$) and essentially incoherent otherwise. This effect is {\it not} related to the value of the exponent $\alpha$, (which is restricted to the interval [0,1/8] when $0\le J\le 2$), and we propose that enhanced coherence is characteristic of integrable systems.