Exact results for SU(3) spin chains: trimer states, valence bond solids, and their parent Hamiltonians

Details Exact results for SU(3) spin chains: trimer states, valence bond solids, and their parent Hamiltonians Exact results for SU(3) spin chains: trimer states, valence bond solids, and their parent Hamiltonians

2007-01-15

arxiv.org/abs/cond-mat/0701354v1

Phys. Rev. B 75, 060401(R) (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.75.060401

We introduce several exact models for SU(3) spin chains: (1) a translationally invariant parent Hamiltonian involving four-site interactions for the trimer chain, with a three-fold degenerate ground state. We provide numerical evidence that the elementary excitations of this model transform under representation 3bar of SU(3) if the original spins of the model transform under rep. 3. (2) a family of parent Hamiltonians for valence bond solids of SU(3) chains with spin reps. 6, 10, and 8 on each lattice site. We argue that of these three models, only the latter two exhibit spinon confinement and a Haldane gap in the excitation spectrum.

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