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Phase diagrams of the spin‐3/2 transverse ising model with random interactions
Author(s) -
Kerouad M.,
ElAtri A.,
Ainane A.,
Saber M.
Publication year - 1996
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221950220
Subject(s) - van der waerden's theorem , ising model , magnetization , transverse plane , physics , statistical physics , random field , distribution (mathematics) , spin (aerodynamics) , field (mathematics) , condensed matter physics , mathematical physics , mathematics , quantum mechanics , magnetic field , combinatorics , mathematical analysis , statistics , thermodynamics , structural engineering , pure mathematics , engineering
The transverse spin‐3/2 Ising model with random interactions is studied using an effective field method within the framework of a single‐site cluster theory. The effective field equations are derived using a probability distribution method based on the use of generalized Van der Waerden identities, that account exactly for the single‐site kinematic relations. A model is adopted in which the nearest‐neighbour exchange couplings are described by the probability distribution law: P (J ij ) = p δ(J ij ‐J) + (1‐p) δ(J ij ‐aJ). The critical temperature at which the longitudinal magnetization vanishes is studied as a function of p and the transverse field strength. The thermal variation of the longitudinal and transverse magnetizations and higher‐order magnetization moments are also studied.