This article is cited in 5 papers

New type of exact solutions to the generalized Ashkin-Teller model and anisotropic Ising model with spin 3/2

V. M. Rozenbaum

Chuiko Institute of Surface Chemistry, National Academy of Sciences of Ukraine

Abstract: The generalized Ashkin-Teller model involving both biquadratic and bilinear interactions between the Ising subsystems ($\alpha$ and $s$) and equivalent to the anisotropic Ising model with spin 3/2 is considered. For a certain magnitude of the opposite-sign bilinear interactions along the horizontal and vertical axes of a square lattice, the exact analytic solution is obtained that describes the phase transition between the disordered ($<\alpha>=<s>=<\alpha s>=0$) and the correlated ordered ($<s>\ne 0$ and $<\alpha>=<s>=0$) states.

PACS: 64.60.Cn, 68.35.Rh

Received: 20.05.2003

 English version: Journal of Experimental and Theoretical Physics Letters, 2003, 78:1, 34–37

Bibliographic databases:

•