Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics A Mathematical and General

Three-spin correlation of the free-fermion model

Ken‐Yu Lin, Fa Yueh Wu

Published Apr 21, 1989• 13 citations
Publisher

Abstract

The authors consider the free-fermion model on the square lattice and obtain the local three-spin correlation function for three spins surrounding a unit cell of the lattice. As an application of this result, they compute the spontaneous magnetisation for the Ising model on the Union Jack lattice with the most general anisotropic interactions.

DOI
10.1088/0305-4470/22/8/025

Related papers

FREE-FERMION APPROXIMATE SOLUSION OF THE ISING MODEL ON UNION JACK LATTICE

WANG FU-GAO, HU JIA-ZHEN, 上海交通大学应用物理系凝聚态物理研究所,上海200030

In this paper,the Ising model with two-body anisotropic interactions and three-body interactions on union Jack lattice is solved by free-fermion approximation. We have obtained its free energy, spontaneous magnetisation and the equation of critical points. When the interaction coefficients are simplified as in a square lattice Ising model, the same solusion as Onsager's is obtained.

Acta Physica Sinica•Jan 1, 1993•0 citations

Ising model on the union jack lattice as a free fermion model

Fa Yueh Wu, Ken‐Yu Lin

It is shown that the Ising model on the union jack lattice with general anisotropic and staggered interactions is equivalent to a free fermion model, and from this equivalence explicit expressions for its free energy and a sublattice spontaneous magnetisation are obtained.

Journal of Physics A Mathematical and General•Nov 11, 1987•21 citations

Local three-spin correlations in the free-fermion and planar Ising models

R. J. Baxter, T. C. Choy

Abstract A number of local three-spin correlations are calculated exactly for various related ferromagnetic two-dimensional solvable models in statistical mechanics.They are the square lattice free-fermion model, the equivalent checkerboard Ising model, and the anisotropic triangular, honeycomb and square lattice Ising models. The different results are all applications of a single unifying formula.

Proceedings of the Royal Society of London A Mathematical and Physical Sciences•Jun 8, 1989•21 citations

Spontaneous magnetization of the three-spin Ising model on the Union Jack lattice

Fa Yueh Wu

The spontaneous magnetization of the Ising model with pure three-spin interactions on a Union Jack lattice is obtained in terms of the magnetic and the ferroelectric orderings of the eight-vertex model. Magnetizations of the two sublattices are found to possess different critical exponents.

Journal of Physics C Solid State Physics•Jul 21, 1975•14 citations

The Critical Points of a Generalized Mixed Spin Model with Free Fermion Approximation

Fu-Gao Wang, Wen-yan Jia, Jia-Zhen Hu

A generalized mixed spin model with anisotropic interactions is considered on the union jack lattice. We find that the model is equivalent to a free fermion model. The critical temperature is obtained. In special cases, we get the same results as exact solutions.

Communications in Theoretical Physics•Sep 15, 1994•1 citation

Non-universal spin systems on Union Jack lattices

Moshe Gitterman, Per Chr. Hemmer

Ising spin systems on a Union Jack lattice with pair interaction or with three-spin interactions are shown to exhibit non-universal behaviour.

Journal of Physics C Solid State Physics•May 10, 1980•4 citations
The authors consider the free-fermion model on the square lattice and obtain the local three-spin correlation function for three spins surrounding a unit cell of the lattice. As an application of this result, they compute the spontaneous magnetisation for the Ising model on the Union Jack lattice with the most general anisotropic interactions.