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Non-universal critical behaviour in mean-field theory of inhomogeneous systems

✍ Scribed by Ferenc Iglói; Gábor Palágyi

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
414 KB
Volume
240
Category
Article
ISSN
0378-4371

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✦ Synopsis

We consider the layered magnetic systems with inhomogeneous inter-layer couplings and study their critical properties within the framework of mean-field theory. We consider two kinds of distribution of the couplings: (i) quasi-periodic, according to the Fibonacci sequence and (ii) smoothly inhomogeneous, in which the couplings deviate from the bulk couplings by an amount of A l 2, where l measures the distance from a free surface. According to analytical and accurate numerical results the critical behaviour of both the problems is non-universal and the corresponding critical exponents are coupling dependent.

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