2D Multipartite Valence Bond States in Quantum Antiferromagnets
arXiv:0710.2349 · doi:10.1016/j.aop.2008.03.006
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.
16 pages, 8 figures. References added, some typos corrected. Published version
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- Entanglement in Valence-Bond-Solid States
- Generalized Toric Codes Coupled to Thermal Baths
- Spontaneous trimerization in two-dimensional Antiferromagnets
- The resource theory of tensor networks
- Valence Bond States: Link models