Exact trimer ground states on a spin-1 chain

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.

References in corpus (1)

• Finitely Correlated Generalized Spin Ladders

Cited by in corpus (9)

• Spin nematic correlations in bilinear-biquadratic S=1 spin chains
• Spin nematics in the bilinear-biquadratic S=1 spin chain
• Spontaneous trimerization in a bilinear-biquadratic S=1 zig-zag chain
• Spontaneous trimerization in two-dimensional Antiferromagnets
• Exact ground states for coupled spin trimers
• Proposal of a spin-one chain model with competing dimer and trimer interactions
• Exact models for trimerization and tetramerization in spin chains
• Phase transition of an SU(3) symmetric spin-1 chain
• Critical phenomena around the SU(3) symmetric tri-critical point of a spin-1 chain