Fermionisation of the Spin-S Uimin-Lai-Sutherland Model: Generalisation of Supersymmetric t-J Model to Spin-S

TL;DR

This paper fermionizes the spin-S Uimin-Lai-Sutherland model and establishes its equivalence to a generalized supersymmetric t-J model, extending the fermionic representation to higher spins.

Contribution

It generalizes the fermionic representation of the ULS model to arbitrary spin-S and derives the corresponding Hamiltonian for the extended t-J model.

Findings

Fermionization of the spin-S ULS model achieved.

Equivalence between the fermionic representation and the generalized t-J model established.

Hamiltonian for the generalized t-J model derived.

Abstract

The spin-1 Uimin-Lai-Sutherland (ULS) isotropic chain model is expressed in terms of fermions and the equivalence of the fermionic representation to the supersymmetric t-J model is established directly at the level of Hamiltonians.The spin-S ULS model is fermionized and the Hamiltonian of the corresponding generalisation of the t-J model is written down.