THE ISING-MODEL WITH LONG-RANGE FERROMAGNETIC INTERACTIONS

被引:16
|
作者
WRAGG, MJ
GEHRING, GA
机构
[1] Dept. of Theor. Phys., Oxford Univ.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 11期
关键词
D O I
10.1088/0305-4470/23/11/036
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A variational method based on the nearest-neighbour Ising model is used to derive an expression for the low-temperature correlation function in the Ising model with long-range ferromagnetic interactions. Also by expanding the correlation function directly, the authors demonstrate that the characteristic power-law behaviour at large distances is irrelevant in the critical region, when above the marginal range of interaction.
引用
收藏
页码:2157 / 2164
页数:8
相关论文
共 50 条
  • [21] Influence of long-range interactions on the critical behavior of the Ising model
    Blanchard, T.
    Picco, M.
    Rajabpour, M. A.
    EPL, 2013, 101 (05)
  • [22] Weakly nonextensive thermostatistics and the Ising model with long-range interactions
    Salazar, R
    Plastino, AR
    Toral, R
    EUROPEAN PHYSICAL JOURNAL B, 2000, 17 (04): : 679 - 688
  • [23] FINITE-RANGE SCALING STUDY OF THE 1D LONG-RANGE ISING-MODEL
    GLUMAC, Z
    UZELAC, K
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (20): : 4439 - 4452
  • [24] GENERALIZED LONG-RANGE FERROMAGNETIC ISING SPIN MODELS
    CANNING, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (13): : 3029 - 3036
  • [25] QUANTUM HEISENBERG-MODEL WITH LONG-RANGE FERROMAGNETIC INTERACTIONS
    NAKANO, H
    TAKAHASHI, M
    PHYSICAL REVIEW B, 1994, 50 (14): : 10331 - 10334
  • [26] Superroughening in the Ising chain with long-range interactions
    Brito, AF
    Redinz, JA
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 333 : 269 - 277
  • [27] Aging in the Long-Range Ising Model
    Christiansen, Henrik
    Majumder, Suman
    Henkel, Malte
    Janke, Wolfhard
    PHYSICAL REVIEW LETTERS, 2020, 125 (18)
  • [28] LOCALIZED STATES AND LONG-RANGE ORDERING IN ONE-DIMENSIONAL TRANSVERSE ISING-MODEL
    MICNAS, R
    KOWALEWSKI, L
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1984, 127 (03) : 422 - 450
  • [29] Ferroelectric films described by transverse Ising model with long-range interactions
    Wang, YG
    Zhong, WL
    Zhang, PL
    SOLID STATE COMMUNICATIONS, 1997, 101 (11) : 807 - 810
  • [30] Effect of long-range interactions on the critical behavior of the continuous Ising model
    Bayong, E
    Diep, HT
    PHYSICAL REVIEW B, 1999, 59 (18) : 11919 - 11924