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Re‐Entrant Ferromagnetism in a Two‐Dimensional Spin‐3/2 Ising Model with Random Nearest‐Neighbour Interactions
Author(s) -
Atri A. El,
Saber M.
Publication year - 1994
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.2221840116
Subject(s) - ferromagnetism , ising model , frustration , spin glass , phase diagram , condensed matter physics , spin (aerodynamics) , statistical physics , mathematics , nearest neighbour , physics , phase (matter) , quantum mechanics , thermodynamics , computer science , artificial intelligence
The existence of a re‐entrant ferromagnetic phase seems to be a general characteristic of systems with frustration and disorder even when no spin‐glass phase exists. Using an effective field theory based on the use of a probability distribution that correctly accounts for the single site kinematic relations, a two‐dimensional nearest‐neighbour random interaction spin‐3/2 Ising model is studied in which the interactions are indepcndent random variables distributed according to the following law: P ( J ij ) = p δ( J ij − J ) + ( 1 − p ) δ ( J ij − α J ), where J > 0. In a certain range of negative values of α, re‐entrant phase diagrams are found and the threshold p * at which the critical temperature goes to zero depends on α.