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：0
|
作者：
Nasir Ganikhodjaev
Mohd Hirzie Mohd Rodzhan
机构：
[1] Faculty of Science,Department of Computational and Theoretical Sciences
[2] International Islamic University Malaysia,undefined
来源：
Journal of the Korean Physical Society | 2015年 / 66卷
关键词：
Ising model; Cayley tree; Third nearest-neighbor interactions; Phase diagram; Lyapunov exponent;
D O I：
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中图分类号：
学科分类号：
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.
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页码：1200 / 1206
页数：6
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