Exact solution of the mixed-spin Ising model on a decorated square lattice with two different kinds of decorating spins on horizontal and vertical bonds

Jozef Strečka, Lucia Čanová, and Michal Jaščur
Phys. Rev. B 76, 014413 – Published 11 July 2007

Abstract

The mixed-spin-(12,SB,SC) Ising model on a decorated square lattice with two different kinds of decorating spins SB and SC (SBSC) placed on its horizontal and vertical bonds, respectively, is exactly solved by establishing a precise mapping relationship with the corresponding spin-12 Ising model on an anisotropic square (rectangular) lattice. The effect of uniaxial single-ion anisotropy acting on both types of decorating spins SB and SC is examined, in particular. If decorating spins SB and SC are integer and half-odd-integer, respectively, or if the reverse is the case, the model under investigation displays a very peculiar critical behavior that had bearing on the spontaneously ordered “quasi-one-dimensional” spin system, which appears as a result of the single-ion anisotropy strengthening. We have found convincing evidence that this remarkable spontaneous ordering virtually arises even though all integer-valued decorating spins tend toward their “nonmagnetic” spin state S=0 and the system becomes disordered only upon further increase of the single-ion anisotropy. The single-ion anisotropy parameter is also at an origin of various temperature dependences of the total magnetization when imposing the pure ferrimagnetic or the mixed ferro-ferrimagnetic character of the spin arrangement.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 4 January 2007

DOI:https://doi.org/10.1103/PhysRevB.76.014413

©2007 American Physical Society

Authors & Affiliations

Jozef Strečka*, Lucia Čanová, and Michal Jaščur

  • Department of Theoretical Physics and Astrophysics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak Republic

  • *jozef.strecka@upjs.sk, jozkos@pobox.sk; URL: http://158.197.33.91/∼strecka

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 76, Iss. 1 — 1 July 2007

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×