https://doi.org/10.1007/s100510170183
Surface phase diagrams of a random transverse Ising model
Groupe de Mécanique Statistique, Laboratoire de Physique Théorique,
Faculté des Sciences, Université Hassan II-Aïn Chock, BP 5366 Mâarif, Casablanca, Morocco
Corresponding author: a benayad@facsc-achok.ac.ma
Received:
6
September
2000
Revised:
23
February
2001
Published online: 15 June 2001
The effect of surface on the critical behaviour of a ferromagnetic Ising spin model in a random transverse surface and bulk fields is studied by the use of an effective field method within the framework of a single-site cluster theory. The state equations are derived using a probability distribution method based on the use of Van der Waerden identities. The complete phase diagrams are investigated when the transverse fields are bimodally and trimodally distributed. In particular, the influence of the transverse fields, exchange interaction strength ratio and the distribution parameter on the phase diagrams behaviour is examined in detail.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 75.10.Hk – Classical spin models / 75.50.Gg – Ferrimagnetics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
