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Mixed spin‐ and spin‐ Ising models with random nearest‐neighbour interactions
Author(s) -
Benayad N.,
Dakhama A.,
Klümper A.,
Zittartz J.
Publication year - 1996
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.2065080407
Subject(s) - ising model , phase diagram , physics , condensed matter physics , lattice (music) , nearest neighbour , isotropy , spin (aerodynamics) , random field , statistical physics , phase (matter) , quantum mechanics , mathematics , thermodynamics , statistics , computer science , artificial intelligence , acoustics
Using the effective field theory with correlations, we study mixed spin−3/2 and spin−1/2 Ising models with random bonds and crystal‐field interactions on the honeycomb lattice. The nearest‐neighbour couplings J ij are taken as random variables with distribution P(J ij ) = pδ(J ij − J)+(1 − p )δ( J ij − α J ), where J > 0 and |α| ≤ 1. In a certain range of negative values of α, the phase diagrams exhibit re‐entrant behaviour. In detail, we investigate separately two kinds of disorder: Bond dilution (α = 0) and random ±J interactions (α = −1). In both cases, the influence of the an‐isotropy on the phase diagrams shows some new outstanding features.