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

DOI10.1088/1751-8113/46/29/295003zbMATH Open1278.82016arXiv1404.6564OpenAlexW2045601106MaRDI QIDQ2843741

Adam Strycharski, Zbigniew Koza

Publication date: 26 August 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1404.6564

zbMATH Keywords

Ising modeldual modelfree fermion approximation

Mathematics Subject Classification ID

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