Exact two-holon wave functions in the Kuramoto-Yokoyama model

TL;DR

This paper constructs explicit two-holon eigenstates for the SU(2) Kuramoto-Yokoyama model, deriving exact energies and holon momenta quantized by half-Fermi statistics, advancing understanding of fractionalized excitations.

Contribution

It provides the first explicit wave functions for two-holon states in the Kuramoto-Yokoyama model, including exact energies and momentum quantization.

Findings

Explicit two-holon wave functions derived

Exact energies of holon states obtained

Holon momenta follow half-Fermi statistics

Abstract

We construct the explicit two-holon eigenstates of the SU(2) Kuramoto-Yokoyama model at the level of explicit wave functions. We derive the exact energies and obtain the individual holon momenta, which are quantized according to the half-Fermi statistics of the holons.