Critical Properties of 2D Anisotropic Ising Model with More Than Nearest Neighbor Interaction

被引:3
|
作者
El Ghazrani, A. [1 ,2 ]
Elidrysy, A. [3 ]
Lahbibi, A. [3 ]
Harir, S. [3 ,4 ]
Drissi, L. B. [1 ,2 ]
机构
[1] Mohammed V Univ Rabat, LPHE, Modeling & Simulat, Fac Sci, Rabat, Morocco
[2] Mohammed V Univ Rabat, Ctr Phys Math CPM, Fac Sci, Rabat, Morocco
[3] Hassan II Univ, Lab Biogeosci & Mat Engn, Higher Normal Sch, Casablanca, Morocco
[4] Reg Ctr Profess Educ & Training, Dept Chem & Phys, Casablanca, Morocco
关键词
Finite cluster approximation; Monte Carlo simulation; 2D square lattice Ising model; EFFECTIVE-FIELD THEORY; MONTE-CARLO; SERIES EXPANSIONS; SIMULATION; THERMODYNAMICS; POLARIZATION;
D O I
10.1142/S2010324722500102
中图分类号
O59 [应用物理学];
学科分类号
摘要
Using the finite cluster approximation (FCA) based on a single-site cluster theory and Monte Carlo simulation (MCS) under the Metropolis algorithm, we study the critical properties of two-dimensional (2D) spins-1/2 system by analyzing the effect of the anisotropic parameter a and next-nearest-neighbor (NNN) interaction J '' on the critical temperature T-C of the 2D anisotropic square lattice. It is found that the MCS is more reliable than the FCA method in the resolution of the Ising model. Moreover, MC calculations reveal that Tc is strongly correlated with the external magnetic field h, a, and J '', where the competition between these parameters can generate several rich phase diagrams.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] NOTE ON UNIVERSALITY AND 2D ISING-MODEL WITH NEXT-NEAREST-NEIGHBOR INTERACTION
    JUNGLING, K
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1976, 9 (01): : L1 - L4
  • [2] Phase Transition in 2D Anisotropic Ising Model with Next-Nearest Neighbor Interactions in a Magnetic Field
    Farsal, D.
    Badia, M.
    Bennai, M.
    [J]. SPIN, 2018, 8 (03)
  • [3] UNIAXIAL ANISOTROPY AND NEXT-NEAREST-NEIGHBOR INTERACTION EFFECTS IN THE 2D ISING-MODEL
    GONCALVES, LL
    [J]. PHYSICA SCRIPTA, 1987, 35 (02): : 105 - 110
  • [4] GROUND STATE OF THE 2D EXTENDED HUBBARD MODEL WITH MORE THAN NEAREST-NEIGHBOR INTERACTIONS
    Harir, S.
    Bennai, M.
    Boughaleb, Y.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2012, 26 (29):
  • [5] Phase diagram and critical exponent ν for the nearest-neighbor and next-nearest-neighbor interaction Ising model
    Monroe, James L.
    Kim, Seung-Yeon
    [J]. PHYSICAL REVIEW E, 2007, 76 (02):
  • [6] The phase diagram of the 2D Ising model with anisotropic next-nearest-neighbor and four-spin interactions
    Wang, FG
    Suzuki, M
    [J]. PHYSICA A, 1996, 230 (3-4): : 639 - 650
  • [7] Phase diagram of the square 2D Ising lattice with nearest neighbor and next-nearest neighbor interactions
    Zandvliet, Harold J. W.
    [J]. PHASE TRANSITIONS, 2023, 96 (3-4) : 187 - 195
  • [8] Phase Transition in 2D Ising Model with Next-Neighbor Interaction
    Kryzhanovsky, Boris
    Litinskii, Leonid
    [J]. 8TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCE, 2019, 1391
  • [9] The 2D Ising square lattice with nearest- and next-nearest-neighbor interactions
    Zandvliet, HJW
    [J]. EUROPHYSICS LETTERS, 2006, 73 (05): : 747 - 751
  • [10] Finite temperature properties of the 2D Hubbard model extended by next-nearest-neighbor hopping interaction
    S Nath
    N K Ghosh
    [J]. Indian Journal of Physics, 2012, 86 : 351 - 356