Journal
ANNALS OF PHYSICS
Volume 323, Issue 9, Pages 2115-2131Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2008.03.006
Keywords
quantum anti-ferromagnet; Mott-Hubbard insulator; valence bond state
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Funding
- Austrian Science Foundation (FWF)
- European Union (OLAQUI, SCALA, QICS)
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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. (C) 2008 Elsevier Inc. All rights reserved.
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