Green Function of the Sutherland Model with SU(2) internal symmetry

TL;DR

This paper derives the hole propagator for the SU(2) symmetric Sutherland model at coupling $eta=1$, revealing the anyonic nature of excitations and conjecturing results for general integer $eta$.

Contribution

It provides the explicit form of the hole propagator for the SU(2) Sutherland model at $eta=1$ and discusses the anyonic character of excitations, extending to arbitrary integer $eta$.

Findings

Hole with spin down splits into two quasiholes with spin down and one with spin up.

Elementary excitations are energetically free.

Form factor indicates anyonic behavior.

Abstract

We obtain the hole propagator of the Sutherland model with SU(2) internal symmetry for coupling parameter $\beta=1$, which is the simplest nontrivial case. One created hole with spin down breaks into two quasiholes with spin down and one quasihole with spin up. While these elementary excitations are energetically free, the form factor reflects their anyonic character. The expression for arbitrary integer $\beta$ is conjectured.