Ising model on the Cayley tree with competing interactions up to the third Nearest-neighbors with spins belonging to different branches of the tree

被引：7

作者：

Ganikhodjaev, Nasir ^{[1
]}

Mohd Rodzhan, Mohd Hirzie ^{[1
]}

机构：

[1] Int Islamic Univ Malaysia, Dept Computat & Theoret Sci, Fac Sci, Kuantan 25200, Malaysia

来源：

JOURNAL OF THE KOREAN PHYSICAL SOCIETY | 2015年 / 66卷 / 08期

关键词：

Ising model; Cayley tree; Third nearest-neighbor interactions; Phase diagram; Lyapunov exponent; BETHE LATTICE; PHASE; FIELD;

D O I：

10.3938/jkps.66.1200

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the phase diagram of the Ising model on the Cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. In addition to the expected ferromagnetic, anti-ferromagnetic and paramagnetic phases, we present a new paramodulated phase. Moreover, the transition lines are analyzed and they are in agreement with the lines obtained numerically. Lastly, the stability of the anti-ferromagnetic phase was studied in detail by investigating the Lyapunov exponent associated with the corresponding dynamical system.

引用

页码：1200 / 1206

页数：7

共 12 条

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