The dual model for an Ising model with nearest and next-nearest neighbors
Statistical Mechanics
2014-04-29 v1
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.
Keywords
Cite
@article{arxiv.1404.6564,
title = {The dual model for an Ising model with nearest and next-nearest neighbors},
author = {Adam Strycharski and Zbigniew Koza},
journal= {arXiv preprint arXiv:1404.6564},
year = {2014}
}