中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4193-4207.doi: 10.1088/1674-1056/18/10/020

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Spin-3/2 Ising model AFM/AFM two-layer lattice with crystal field

ErhanAlbayrak1, AliYigit2   

  1. (1)Department of Physics, Erciyes University, 38039, Kayseri, Turkey; (2)Department of Physics, Erciyes University, 38039, Kayseri, Turkey
  • 收稿日期:2009-01-08 修回日期:2009-04-11 出版日期:2009-10-20 发布日期:2009-10-20
  • 基金资助:
    Project supported by the Scientific and Technological Research Council of Turkey (TUBITAK) (Grant No 107T358).

Spin-3/2 Ising model AFM/AFM two-layer lattice with crystal field

Erhan Albayrak† and Ali Yigit   

  1. Department of Physics, Erciyes University, 38039, Kayseri, Turkey
  • Received:2009-01-08 Revised:2009-04-11 Online:2009-10-20 Published:2009-10-20
  • Supported by:
    Project supported by the Scientific and Technological Research Council of Turkey (TUBITAK) (Grant No 107T358).

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摘要： The spin-3/2 Ising model is investigated for the case of antiferromagnetic (AFM/AFM) interactions on the two-layer Bethe lattice by using the exact recursion relations in the pairwise approach for given coordination numbers q=3, 4 and 6 when the layers are under the influences of equal external magnetic and equal crystal fields. The ground state (GS) phase diagrams are obtained on the different planes in detail and then the temperature-dependent phase diagrams of the system are calculated accordingly. It is observed that the system presents both second- and first-order phase transitions for all q, therefore, tricritical points. It is also found that the system exhibits double-critical end points and isolated points. The model also presents two Néel temperatures, TN, and the existence of which leads to the reentrant behaviour.

Abstract: The spin-3/2 Ising model is investigated for the case of antiferromagnetic (AFM/AFM) interactions on the two-layer Bethe lattice by using the exact recursion relations in the pairwise approach for given coordination numbers q=3, 4 and 6 when the layers are under the influences of equal external magnetic and equal crystal fields. The ground state (GS) phase diagrams are obtained on the different planes in detail and then the temperature-dependent phase diagrams of the system are calculated accordingly. It is observed that the system presents both second- and first-order phase transitions for all q, therefore, tricritical points. It is also found that the system exhibits double-critical end points and isolated points. The model also presents two Néel temperatures, TN, and the existence of which leads to the reentrant behaviour.

Key words: Bethe lattice, spin, ground state, AFM/AFM, layer, phase

中图分类号:  (Classical spin models)

  • 75.10.Hk
75.30.Kz (Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.)) 75.50.Ee (Antiferromagnetics)