English

Exact models for trimerization and tetramerization in spin chains

Strongly Correlated Electrons 2009-11-13 v1

Abstract

We present exact models for an antiferromagnetic S=1 spin chain describing trimerization as well as for an antiferromagnetic S=3/2 spin chain describing tetramerization. These models can be seen as generalizations of the Majumdar-Ghosh model. For both models, we provide a local Hamiltonian and its exact three- or four-fold degenerate ground state wavefunctions, respectively. We numerically confirm the validity of both models using exact diagonalization and discuss the low lying excitations.

Keywords

Cite

@article{arxiv.0809.2003,
  title  = {Exact models for trimerization and tetramerization in spin chains},
  author = {Stephan Rachel and Martin Greiter},
  journal= {arXiv preprint arXiv:0809.2003},
  year   = {2009}
}

Comments

7 pages, 8 figures

R2 v1 2026-06-21T11:19:17.300Z