2D Multipartite Valence Bond States in Quantum Antiferromagnets

E. Rico; H. J. Briegel

doi:10.1016/j.aop.2008.03.006

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arXiv · 0710.2349

2D Multipartite Valence Bond States in Quantum Antiferromagnets

E. Rico·H. J. Briegel

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Abstract

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.

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E. Rico, H. J. Briegel. 2008-08-29. 2D Multipartite Valence Bond States in Quantum Antiferromagnets. https://doi.org/10.1016/j.aop.2008.03.006

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