中国物理B ›› 2011, Vol. 20 ›› Issue (6): 60507-060507.doi: 10.1088/1674-1056/20/6/060507

• • 上一篇    下一篇

Phase diagrams in mixed spin-3/2 and spin-2 Ising system with two alternative layers within the effective-field theory

Mustafa Keskin1, Bayram Deviren2, Yasin Polat3   

  1. (1)Department of Physics, Erciyes University, 38039 Kayseri, Turkey; (2)Department of Physics, Nevsehir University, 50300 Nevcsehir, Turkey; (3)Institute of Science, Erciyes University, 38039 Kayseri, Turkey
  • 收稿日期:2010-11-12 修回日期:2011-01-17 出版日期:2011-06-15 发布日期:2011-06-15
  • 基金资助:
    Project supported by the Scientiˉc and Technological Research Council of Turkey (TüB_ITAK) (Grant No. 107T533) and Erciyes University Research Funds (Grant No. FBD-08-593).

Phase diagrams in mixed spin-3/2 and spin-2 Ising system with two alternative layers within the effective-field theory

Bayram Devirena), Yasin Polatb), and Mustafa Keskinc)†   

  1. a Department of Physics, Nevsehir University, 50300 Nevcsehir, Turkey; b Institute of Science, Erciyes University, 38039 Kayseri, Turkey; c Department of Physics, Erciyes University, 38039 Kayseri, Turkey
  • Received:2010-11-12 Revised:2011-01-17 Online:2011-06-15 Published:2011-06-15
  • Supported by:
    Project supported by the Scientiˉc and Technological Research Council of Turkey (TüB_ITAK) (Grant No. 107T533) and Erciyes University Research Funds (Grant No. FBD-08-593).

摘要: The phase diagrams in the mixed spin-3/2 and spin-2 Ising system with two alternative layers on a honeycomb lattice are investigated and discussed by the use of the effective-field theory with correlations. The interaction of the nearest-neighbour spins of each layer is taken to be positive (ferromagnetic interaction) and the interaction of the adjacent spins of the nearest-neighbour layers is considered to be either positive or negative (ferromagnetic or antiferromagnetic interaction). The temperature dependence of the layer magnetizations of the system is examined to characterize the nature (continuous or discontinuous) of the phase transitions and obtain the phase transition temperatures. The system exhibits both second- and first-order phase transitions besides triple point (TP), critical end point (E), multicritical point (A), isolated critical point (C) and reentrant behaviour depending on the interaction parameters. We have also studied the temperature dependence of the total magnetization to find the compensation points, as well as to determine the type of behaviour, and N-type behaviour in Néel classification nomenclature existing in the system. The phase diagrams are constructed in eight different planes and it is found that the system also presents the compensation phenomena depending on the sign of the bilinear exchange interactions.

关键词: mixed spin-3/2 and spin-2 Ising system, effective-field theory, compensation phenomena, phase diagrams

Abstract: The phase diagrams in the mixed spin-3/2 and spin-2 Ising system with two alternative layers on a honeycomb lattice are investigated and discussed by the use of the effective-field theory with correlations. The interaction of the nearest-neighbour spins of each layer is taken to be positive (ferromagnetic interaction) and the interaction of the adjacent spins of the nearest-neighbour layers is considered to be either positive or negative (ferromagnetic or antiferromagnetic interaction). The temperature dependence of the layer magnetizations of the system is examined to characterize the nature (continuous or discontinuous) of the phase transitions and obtain the phase transition temperatures. The system exhibits both second- and first-order phase transitions besides triple point (TP), critical end point (E), multicritical point (A), isolated critical point (C) and reentrant behaviour depending on the interaction parameters. We have also studied the temperature dependence of the total magnetization to find the compensation points, as well as to determine the type of behaviour, and N-type behaviour in Néel classification nomenclature existing in the system. The phase diagrams are constructed in eight different planes and it is found that the system also presents the compensation phenomena depending on the sign of the bilinear exchange interactions.

Key words: mixed spin-3/2 and spin-2 Ising system, effective-field theory, compensation phenomena, phase diagrams

中图分类号:  (Lattice theory and statistics)

  • 05.50.+q
05.70.Fh (Phase transitions: general studies) 64.60.De (Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.)) 75.10.Hk (Classical spin models)