The Ising version of the t-J model

TL;DR

This paper analyzes a simplified version of the t-J model in the strong anisotropy limit, introducing a novel slave-particle approach that accurately captures low-doping physics and reveals how doping destroys antiferromagnetic order.

Contribution

It proposes a new slave-particle method valid at low doping and exactly solvable at half-filling, enabling rigorous numerical study of the no-double-occupancy constraint.

Findings

Antiferromagnetic order is destroyed with increased doping.

Nagaoka polarons form in the strong interaction regime.

The approach accurately models the low-doping regime of the t-J model.

Abstract

The t-J model is analysed in the limit of strong anisotropy, where the transverse components of electron spin are neglected. We propose a slave-particle-type approach that is valid, in contradiction to many of the standard approaches, in the low-doping regime and becomes exact for a half-filled system. We describe an effective method that allows to numerically study the system with the no-double-occupancy constraint rigorously taken into account at each lattice site. Then, we use this approach to demonstrate the destruction of the antiferromagnetic order by increasing the doping and formation of Nagaoka polarons in the strong interaction regime.