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Valence bond solid states with symplectic symmetry

Dirk Schuricht and Stephan Rachel
Phys. Rev. B 78, 014430 – Published 30 July 2008

Abstract

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.

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  • Received 21 May 2008

DOI:https://doi.org/10.1103/PhysRevB.78.014430

©2008 American Physical Society

Authors & Affiliations

Dirk Schuricht1 and Stephan Rachel2

  • 1The Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, OX1 3NP, Oxford, United Kingdom
  • 2Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, Postfach 6980, 76128 Karlsruhe, Germany

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Issue

Vol. 78, Iss. 1 — 1 July 2008

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