Exact models for trimerization and tetramerization in spin chains

Details Exact models for trimerization and tetramerization in spin chains Exact models for trimerization and tetramerization in spin chains

2008-09-11

arxiv.org/abs/0809.2003v1

Phys. Rev. B 78, 134415 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 8 figures

Scientific paper

10.1103/PhysRevB.78.134415

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.

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