ISSN:
1572-9613
Keywords:
Ising model
;
layered systems
;
phase diagram
;
interlayer coupling
;
mean-field theory
;
renormalization group
;
scaling theory
;
Monte Carlo simulation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The statistical mechanics of two Ising ferromagnetic planes coupled by a local interlayer two-spin interaction have been studied by means of a variety of calculational methods, including different mean-field approximations, Migdal-Kadanoff-type renormalization-group techniques, scaling theory, as well as numerical Monte Carlo simulation techniques. The phase diagram has been derived as a function of the interlayer coupling strength. Furthermore, various thermodynamic variables have been determined, including the interlayer correlation function, which is proportional to the interplanar force. It is found that a Migdal-Kadanoff renormalization with a decimation procedure which involves the interlayer coupling in an appropriate fashion provides an accurate description of the phase diagram and that a mean-field description provides a good description of the phase diagram and the interplanar force, except for very low interlayer coupling strengths.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01054347
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