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Phase Transition for the Semi‐Infinite Ising Model with a Transverse Field
Author(s) -
Cherkaoui Eddeqaqi N.,
EzZahraouy E.,
Bouzid A.
Publication year - 1999
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(199906)213:2<421::aid-pssb421>3.0.co;2-7
Subject(s) - ising model , condensed matter physics , transverse plane , transverse field , phase transition , phase diagram , cluster (spacecraft) , physics , spin (aerodynamics) , field (mathematics) , ferromagnetism , surface (topology) , phase (matter) , quantum mechanics , mathematics , geometry , thermodynamics , structural engineering , computer science , pure mathematics , programming language , engineering
The effect of surface and bulk transverse fields on the phase transitions of a semi‐infinite spin‐1 ferromagnetic Ising model is investigated within a finite cluster approximation with an expansion technique for cluster identities of spin‐1 localized spin systems. The phase diagrams are determined as a function of the ratio of bulk and surface transverse fields, the temperature and the transverse field of the surface. They show that the systems exhibit a variety of phase transitions. A dead layer is also obtained in a special region of space parameters.