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

Journal Article · Thu Feb 01 00:00:00 EST 2007 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.75.060401· OSTI ID:20976682

Greiter, Martin; Rachel, Stephan; Schuricht, Dirk ^[1]

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1. Institut fuer Theorie der Kondensierten Materie, Universitaet Karlsruhe, Postfach 6980, 76128 Karlsruhe (Germany)

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 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. (2) a family of parent Hamiltonians for valence bond solids of SU(3) chains with spin representations 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.

• OSTI ID: 20976682
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 75, Issue 6; Other Information: DOI: 10.1103/PhysRevB.75.060401; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
36 MATERIALS SCIENCE
CHAINS
CONFINEMENT
ENERGY GAP
EXCITATION
EXCITED STATES
GROUND STATES
HAMILTONIANS
SOLIDS
SPECTRA
SPIN
VALENCE