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

理论物理通讯：英文版

A Solvable Decorated Ising Lattice Model

Sun, Chunfeng, Kong, Xiang-Mu, Yin, Xun-Chang

Published Jan 1, 2006• 1 citation
OpenAlex

Abstract

一个装饰格子被建议，有三种相互作用 K_1， K_2，和 K_3 的它上的 Ising 模型被学习。用相等的转变，方形的装饰 Ising 格子被转变成一个常规方形的 Ising 格子与近邻居， next-nearest-neighbor，和四纺纱的相互作用是，并且批评的固定的点在 K_1 =0.5769， K_2 =-0.0671, 和 K_3 = 被发现 0.3428，它决定系统的批评温度。Itis 也发现这个系统和常规方形的 Ising 格子，和八顶点的模型属于一样的普遍性班。

Related papers

Phase diagram and ground state of a decorated antiferromagnetic Ising model on a triangular lattice with nearest and next nearest neighbor interactions

Vadim A. Mutailamov, Akai Kurbanovich Murtazaev

Physica A Statistical Mechanics and its Applications•Jul 22, 2024•4 citations

Phase diagram of the decorated Ising model on the Kagome lattice with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions

Vadim A. Mutailamov, Akai Kurbanovich Murtazaev

Physica A Statistical Mechanics and its Applications•Sep 9, 2025•3 citations

Phase diagram of the Ising antiferromagnet with nearest-neighbor and next-nearest-neighbor interactions on a square lattice

Rosana A. dos Anjos, J. Roberto Viana, J. Ricardo de Sousa

Physics Letters A•Oct 1, 2007•53 citations

The 2D Ising square lattice with nearest- and next-nearest-neighbor interactions

Harold J. W. Zandvliet

Erratum of Europhys. Lett. 73 (5) p. 747

Europhysics Letters (EPL)•May 29, 2006•11 citations

A Solvable Decorated Ising Lattice Model

Sun Chun-Feng, Xiang-Mu Kong, Xun-Chang Yin

A decorated lattice is suggested and the Ising model on it with three kinds of interactions K1, K2, and K3 is studied. Using an equivalent transformation, the square decorated Ising lattice is transformed into a regular square Ising lattice with nearest-neighbor, next-nearest-neighbor, and four-spin interactions, and the critical fixed point is found at K1 = 0.5769, K2 = −0.0671, and K3 = 0.3428, which determines the critical temperature of the system. It is also found that this system and the regular square Ising lattice, and the eight-vertex model belong to the same universality class.

Communications in Theoretical Physics•Mar 1, 2006•9 citations

Randomly decorated Ising model on the square lattice

M.A. Costa, L.L. Gonçalves

Journal of Magnetism and Magnetic Materials•Feb 1, 1995•3 citations
一个装饰格子被建议，有三种相互作用 K_1， K_2，和 K_3 的它上的 Ising 模型被学习。用相等的转变，方形的装饰 Ising 格子被转变成一个常规方形的 Ising 格子与近邻居， next-nearest-neighbor，和四纺纱的相互作用是，并且批评的固定的点在 K_1 =0.5769， K_2 =-0.0671, 和 K_3 = 被发现 0.3428，它决定系统的批评温度。Itis 也发现这个系统和常规方形的 Ising 格子，和八顶点的模型属于一样的普遍性班。
A decorated lattice is suggested and the Ising model on it with three kinds of interactions K1, K2, and K3 is studied. Using an equivalent transformation, the square decorated Ising lattice is transformed into a regular square Ising lattice with nearest-neighbor, next-nearest-neighbor, and four-spin interactions, and the critical fixed point is found at K1 = 0.5769, K2 = −0.0671, and K3 = 0.3428, which determines the critical temperature of the system. It is also found that this system and the regular square Ising lattice, and the eight-vertex model belong to the same universality class.