The Critical Behavior of the Antiferromagnetic Ising Model with Long-Range Interaction Effects

被引：2
|
作者：
Belim, S. V. [1 ]
Larionov, I. B. [1 ]
机构：
[1] Dostoevsky Omsk State Univ, Omsk 644077, Russia
来源：
MOSCOW UNIVERSITY PHYSICS BULLETIN | 2018年 / 73卷 / 04期
关键词：
critical phenomena; antiferromagnetic Ising model; long-range interaction effects; EXCHANGE INTERACTIONS; CRITICAL EXPONENTS; RENORMALIZATION; SYSTEMS;
D O I：
10.3103/S0027134918040021
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the antiferromagnetic Ising model with ferromagnetic long-range interaction is modeled by the Monte Carlo method. The case of ferromagnetic long-range forces decreasing by a power law is considered. The dependence of the phase-transition temperature on long-range interaction parameters is obtained. The phase diagram was constructed at different values of long-range interaction parameters. Conditions for the existence of the frustrated state of the system were revealed.
引用
收藏
页码：394 / 397
页数：4
相关论文
共 50 条
  • [21] Aging in the Long-Range Ising Model
    Christiansen, Henrik
    Majumder, Suman
    Henkel, Malte
    Janke, Wolfhard
    PHYSICAL REVIEW LETTERS, 2020, 125 (18)
  • [22] THE ISING MODEL WITH LONG-RANGE INTERACTIONS
    Biryukov, A. A.
    Degtyareva, Ya. V.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2015, 19 (03): : 415 - 424
  • [23] CRITICAL PROPERTIES OF AN ISING-MODEL WITH DILUTE LONG-RANGE INTERACTIONS
    SCALETTAR, RT
    PHYSICA A, 1991, 170 (02): : 282 - 290
  • [24] AN ISING SYSTEM WITH AXIALLY LONG-RANGE INTERACTION
    ISHIMURA, N
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1991, 60 (06) : 2051 - 2056
  • [25] Upper and lower critical decay exponents of Ising ferromagnets with long-range interaction
    Horita, Toshiki
    Suwa, Hidemaro
    Todo, Synge
    PHYSICAL REVIEW E, 2017, 95 (01)
  • [26] Ising models with long-range antiferromagnetic and short-range ferromagnetic interactions
    Giuliani, Alessandro
    Lebowitz, Joel L.
    Lieb, Elliott H.
    PHYSICAL REVIEW B, 2006, 74 (06):
  • [27] Magnetic phase diagram of the Ising model with the long-range RKKY interaction
    Regeciova, Lubomira
    Farkasovsky, Pavol
    EUROPEAN PHYSICAL JOURNAL B, 2019, 92 (08):
  • [28] n-Vicinity Method for Ising Model with Long-Range Interaction
    Kaganowa, I. M.
    Kryzhanovsky, B., V
    Litinskii, L. B.
    OPTICAL MEMORY AND NEURAL NETWORKS, 2021, 30 (02) : 105 - 111
  • [29] Magnetic phase diagram of the Ising model with the long-range RKKY interaction
    Lubomíra Regeciová
    Pavol Farkašovský
    The European Physical Journal B, 2019, 92
  • [30] n-Vicinity Method for Ising Model with Long-Range Interaction
    I. M. Kaganowa
    B. V. Kryzhanovsky
    L. B. Litinskii
    Optical Memory and Neural Networks, 2021, 30 : 105 - 111
12345