2D multipartite valence bond states in quantum anti-ferromagnets

Journal Article · Mon Sep 15 00:00:00 EDT 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2008.03.006· OSTI ID:21163731

Rico, E ^[1]; Briegel, H J ^[1]

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1. Institut fuer Theoretische Physik, Universitat Innsbruck, Technikerstrasse 25, A-6020 Innsbruck (Austria)

A quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice with the following requirements: (i) The Hamiltonian is made out of nearest neighbour interactions. (ii) It is homogeneous, translational and rotational invariant. (iii) The ground state is a real singlet state of SU(2) (non-chiral). (iv) It has a local spin-1 representation. Along the way to characterise the system, connections with classical statistical mechanics and integrable models are explored. Finally, the relevance of the model in the physics of low dimensional anti-ferromagnetic Mott-Hubbard insulators is discussed.

• OSTI ID: 21163731
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 9 Vol. 323; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHIRALITY
GROUND STATES
HAMILTONIANS
HUBBARD MODEL
INTEGRAL CALCULUS
QUANTUM MECHANICS
SPIN
STATISTICAL MECHANICS
VALENCE