2D Multipartite Valence Bond States in Quantum Antiferromagnets

TL;DR

This paper characterizes a 2D quantum antiferromagnetic spin-1 model with specific symmetry and locality properties, exploring its connections to classical statistical mechanics and relevance to low-dimensional Mott-Hubbard insulators.

Contribution

It introduces a novel 2D multipartite valence bond state framework for quantum antiferromagnets, linking quantum states with classical models and discussing physical implications.

Findings

Connections with classical statistical mechanics established

Model's relevance to low-dimensional Mott-Hubbard insulators discussed

Ground state characterized as a real SU(2) singlet

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.