Exact Result on Hole Dynamics of One-Dimensional Supersymmetric t-J Model with Long Range Interaction

TL;DR

This paper provides an exact analytical result for the dynamics of a single hole in a one-dimensional supersymmetric t-J model with long-range interactions, revealing detailed behavior of spinon and holon contributions.

Contribution

It derives an exact expression for the hole propagator in a supersymmetric long-range interacting t-J model at half-filling, a novel analytical result.

Findings

G_{1s1h}(0,0)=3/8, indicating 75% of the spin-fixed mean particle density

Quantitative insight into spinon and holon contributions to hole dynamics

Exact analytical expression for the hole propagator in a long-range interaction model

Abstract

We obtain an exact result on single hole dynamics in one-dimensional Mott-insulators through the study on the supersymmetric t-J model with long range interaction at half-filling. We calculate the expression G_{1s1h}(x,t) for one spinon one holon contribution to the hole propagator. We find that G_{1s1h}(x=0,t=0)=3/8, which amounts to 75% of the spin-fixed mean particle density 1/2.