Charge excitations in SU(n) spin chains: exact results for the 1/r^2 model

TL;DR

This paper derives exact energies and momenta for charge excitations in SU(n) spin chains, revealing fractional statistics with a parameter g=1/n, extending previous models to a broader symmetry group.

Contribution

It provides explicit wave functions and exact results for holon excitations in SU(n) models, generalizing the SU(3) case to arbitrary n.

Findings

Exact energies and momenta for holon excitations

Fractional statistics with parameter g=1/n

Generalization from SU(3) to SU(n) models

Abstract

We study the one- and two-holon excitations of the SU(3) Kuramoto-Yokoyama model on the level of explicit wave functions, and generalize the calculations to the case of SU(n). We obtain the exact energies and the single holon momenta, which we find fractionally spaced according to fractional statistics with statistical parameter g=1/n.