On the magnetization of the triangular lattice Ising model with triplet interactions-Reference-Cited by-同舟云学术

On the magnetization of the triangular lattice Ising model with triplet interactions

Published:1975-08-30 Issue:1641 Volume:345 Page:277-293
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

The analytic properties of the spontaneous magnetization M for the triangular lattice Ising model with pure triplet interactions are investigated. In particular, it is shown that M is a solution of Legendre’s elliptic modular equation of degree 3. The following explicit hypergeometric formula for M is also derived:

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1975.0136

Reference30 articles.

1. Barber M. N. & Baxter R. J. 1973

2. Anst;Baxter R. J.;J. Phys. C,1974

3. J.Phys. 27 369-381.

4. Magnetization of the three-spin triangular Ising model

5. Exact Solution of an Ising Model with Three-Spin Interactions on a Triangular Lattice

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Efficient energy cumulants for the Baxter–Wu model;Physica A: Statistical Mechanics and its Applications;2015-03

2. Critical energy distribution function of the Baxter–Wu model;Physica A: Statistical Mechanics and its Applications;2014-04

3. Statistical mechanics of the cluster Ising model;Physical Review A;2011-08-02

4. Critical amplitude ratios of the Baxter–Wu model;Nuclear Physics B;2010-12

5. Logarithmic corrections and universal amplitude ratios in the 4-state Potts model;Physics Procedia;2010