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：
暂无
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.
引用
收藏
页码：1200 / 1206
页数：6
相关论文
共 50 条
  • [21] Factors Generated by XY-Model with Competing Ising Interactions on the Cayley Tree
    Mukhamedov, Farrukh
    El Gheteb, Soueidy
    ANNALES HENRI POINCARE, 2020, 21 (01): : 241 - 253
  • [22] Factors Generated by XY-Model with Competing Ising Interactions on the Cayley Tree
    Farrukh Mukhamedov
    Soueidy El Gheteb
    Annales Henri Poincaré, 2020, 21 : 241 - 253
  • [23] MODULATED PHASE OF AN ISING SYSTEM WITH COMPETING INTERACTIONS ON A CAYLEY TREE
    VANNIMENUS, J
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02): : 141 - 148
  • [24] Phase transition for the Ising model with mixed spins on a Cayley tree
    Akin, Hasan
    Mukhamedov, Farrukh
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2022, 2022 (05):
  • [25] Description of Weak Periodic Ground States of Ising Model with Competing Interactions on Cayley Tree
    Rahmatullaev, M. M.
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2010, 4 (02): : 237 - 251
  • [26] PERIODIC GROUND STATES FOR THE MIXED SPIN ISING MODEL WITH COMPETING INTERACTIONS ON A CAYLEY TREE
    Mukhamedov, Farrukh
    Rahmatullaev, Muzaffar M.
    Egamov, Dilshodbek O.
    REPORTS ON MATHEMATICAL PHYSICS, 2023, 91 (03) : 379 - 393
  • [27] Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree
    Rahmatullaev, Muzaffar M.
    Rasulova, Muhayyo A.
    Asqarov, Javohir N.
    JOURNAL OF STATISTICAL PHYSICS, 2023, 190 (07)
  • [28] Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree
    Mukhamedov, Farrukh
    Souissi, Abdessatar
    INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2020, 23 (03)
  • [29] Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
    Rozikov, U. A.
    Rakhmatullaev, M. M.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 160 (03) : 1292 - 1300
  • [30] Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
    U. A. Rozikov
    M. M. Rakhmatullaev
    Theoretical and Mathematical Physics, 2009, 160 : 1292 - 1300
12345