Tricritical Properties of Antiferromagnetic Ising Model on the Square Lattice

2015/12/18 by A. Bobák, Bobák, A., M. Borovský +5
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paper · pdf · doi:10.48550/arxiv.1512.05929

6 pages, 3 figures, 1 Table in Proceedings of the 15th Small Triangle Meeting on Theoretical Physics, Stará Lesná, Slovakia (2013), ISBN 9788081431418

arxiv created 2015/12/18 · openalex publication_date 2015/12/18 · arxiv updated 2015/12/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The Ising square lattice model with nearest-neighbor (nn) interactions (J₁) is one of the few exactly solvable models [1]. Adding next-neareast- neighbor (nnn) interactions (J₂) or a magnetic field (or both) leads to the non solvability of the model and only some approximate solutions are possible. In this brief report we will review some results obtained within effective field theory. We will show that besides second-order transitions there are also lines of first-order transitions and the coordinates of tricritical points are calculated.

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