The critical behavior of the mixed spin-1 and spin-2 Ising ferromagnetic system on the Bethe lattice


Albayrak E. , Yigit A.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, vol.349, pp.471-486, 2005 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 349
  • Publication Date: 2005
  • Doi Number: 10.1016/j.physa.2004.10.036
  • Title of Journal : PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Page Numbers: pp.471-486

Abstract

The phase diagrams of the mixed spin-1 and spin-2 Blume-Capel Ising ferromagnetic system (J > O) with two crystal-field interactions, D-A for spin-1 and D-B for spin-2, is studied on the Bethe lattice by using the exact recursion equations. The exact expressions of the order-parameters for the sublattices with spin-1 and spin-2, and the Curie temperature and the free energy of the system are obtained in terms of the recursion relations. The phase diagrams on the (kT(c)/J,D-A/J) and (kT(c)/J,D-B/J) planes are studied for selected values of D-B/J and D-A/J, respectively, for the coordination numbers q = 3,4, and 6. Besides the second-order phase transition lines, the lines of the first-order phase transitions terminating either at a tricritical point or at an isolated critical point are found. (C) 2004 Elsevier B.V. All rights reserved.