Valence bond solid states with symplectic symmetry

Journal Article · Tue Jul 01 00:00:00 EDT 2008 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.78.014430· OSTI ID:21143579

Schuricht, Dirk ^[1]; Rachel, Stephan ^[2]

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1. Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, OX1 3NP, Oxford (United Kingdom)
2. Institut fuer Theorie der Kondensierten Materie, Universitaet Karlsruhe, Postfach 6980, 76128 Karlsruhe (Germany)

We introduce a one-dimensional valence bond solid (VBS) state with symplectic symmetry SP(n) and construct the corresponding parent Hamiltonian. We argue that there is a gap in the spectrum. We calculate exactly the static correlation functions, which fall off exponentially. Hence the model introduced here shares all properties of the Haldane scenario for integer-spin quantum antiferromagnets. We further show that the VBS state possesses string order and discuss its generalization to higher dimensions.

• OSTI ID: 21143579
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 78, Issue 1; Other Information: DOI: 10.1103/PhysRevB.78.014430; (c) 2008 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
ANTIFERROMAGNETIC MATERIALS
CORRELATION FUNCTIONS
HAMILTONIANS
ONE-DIMENSIONAL CALCULATIONS
SOLIDS
SP GROUPS
SPECTRA
SPIN
SYMMETRY
VALENCE