Quantum dimer models were introduced to model the physics of resonating valence bond (RVB) states in . The only degrees of freedom retained from the motivating spin systems are the valence bonds, represented as dimers which live on the lattice bonds. In typical dimer models, the dimers do not overlap ("hardcore constraint"). Classical dimer models have been studied previously in statistical physics, in particular by P. W. Kasteleyn (1961) andM. E. Fisher (1961).
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