Valence bond solids for SU(n) spin chains: Exact models, spinon confinement, and the Haldane gap

  title={Valence bond solids for SU(n) spin chains: Exact models, spinon confinement, and the Haldane gap},
  author={Martin Greiter and Stephan Rachel},
  journal={Physical Review B},
To begin with, we introduce several exact models for SU(3) spin chains: First is a translationally invariant parent Hamiltonian involving four-site interactions for the trimer chain, with a threefold degenerate ground state. We provide numerical evidence that the elementary excitations of this model transform under representation 3 of SU(3) if the original spins of the model transform under representation 3. Second is a family of parent Hamiltonians for valence bond solids of SU(3) chains with… Expand
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