https://doi.org/10.1007/s100510070058
Phase transitions in the mixed Ashkin-Teller model
Laboratoire de Magnétisme et de Physique des Hautes Énergies, Département de Physique, BP 1014, Faculté des Sciences, Rabat, Morocco
Received:
5
July
1999
Revised:
4
July
2000
Published online: 15 November 2000
By using a mean-field approximation (MFA) and Monte-Carlo (MC) simulations,
we have studied the effect on the phase diagrams of mixed spins (
and S =1) in
the Ashkin-Teller model (ATM) on a hypercubic lattice. By varying the strength
describing the four spin interaction and the single ion potential, we have obtained by
these two methods quite rich phase diagrams with several multicritical points. This
model exhibits a new partially ordered phase 
which does not exist neither in the spin-1/2 ATM nor in the spin-1 ATM. While MFA yields phase diagrams which are
sometimes qualitatively incorrect, accurate results are obtained from MC simulations.
From the critical exponents which have been calculated using finite-size scaling
ideas, we have shown that all phase transitions are Ising-like except for the
paramagnetic-Baxter critical surface on which the critical exponents vary continuously, by varying only the strength of the coupling interaction independently of the value of
the single ion potential.
PACS: 75.10.Hk – Classical spin models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
