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The Random Transverse Ising Model with Spin‐½, Spin‐1 and Mixed Spins
Author(s) -
Laaboudi B.,
El Atri M.,
Saber M.
Publication year - 1998
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/(sici)1521-3951(199807)208:1<197::aid-pssb197>3.0.co;2-3
Subject(s) - ising model , spin (aerodynamics) , physics , condensed matter physics , square lattice ising model , random field , spins , transverse field , transverse plane , effective field theory , phase diagram , field (mathematics) , statistical physics , phase (matter) , quantum mechanics , mathematics , statistics , thermodynamics , structural engineering , engineering , pure mathematics
Using the effective field theory (EFT) which takes into consideration the fluctuations of the effective field and which is based on a probability distribution of random variables which accounts for all the single kinematic relations, we have studied the transverse random field Ising model (TRIM) with spin‐½ and spin‐1 and the transverse random field mixed Ising model (TRMIM) with both spin‐½ and spin‐1. It is shown that the simplest approximation gives satisfactory results for the phase diagrams when compared with other methods.
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