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arXiv · 1404.6564

The dual model for an Ising model with nearest and next-nearest neighbors

Adam Strycharski·Zbigniew Koza
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Abstract

We construct and analyse a dual model to the Ising model with the nearest and next-nearest neighbors on the rectangular lattice (NNNI model). The Hamiltonian of the dual model turns out to contain two- and four-spin interactions. The free fermion approximation suggests that an increase in the critical temperature of the dual model caused by the four-spin interactions is limited to a finite range.

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Adam Strycharski, Zbigniew Koza. 2014-04-25. The dual model for an Ising model with nearest and next-nearest neighbors. https://doi.org/10.1088/1751-8113%2F46%2F29%2F295003

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