Exact trimer ground states on a spin-1 chain

TL;DR

This paper introduces a new spin-1 chain model with an exactly solvable trimerized ground state, revealing insights into degeneracy and low-lying excitations, including solitons.

Contribution

The authors construct a novel spin-1 chain model with an exactly known trimerized ground state and analyze its low-energy excitations.

Findings

Ground state is exactly determined and three-fold degenerate.

Ground state exhibits trimerization due to broken translational symmetry.

Low-lying excitations, including solitons, are characterized using trial states.

Abstract

We construct a new spin-1 model on a chain. Its ground state is determined exactly which is three-fold degenerate by breaking translational invariance. Thus we have trimerization. Excited states cannot be obtained exactly, but we determine a few low-lying ones by using trial states, among them solitons.