Dimers and the Ising model

Details Dimers and the Ising model Dimers and the Ising model

2008-01-02

arxiv.org/abs/0801.0431v2

J Cis{\l}o, Dimers and the Ising Model, Physica A 387 (2008) 6535

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2008.08.020

We present a innovative relationship between ground states of the Ising model
and dimer coverings which sheds new light on the Ising Models with highly
degenerated ground states and enables one to construct such models. Thanks to
this relationship we also find the generating function for dimers as the
appropriate limit of the free energy per spin for the Ising model.

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