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Critical behavior of ferromagnetic spin models with aperiodic exchange interactions

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dc.creator Haddad T. A. S.
dc.creator Pinho S. T. R.
dc.creator Salinas S. R.
dc.date 2000
dc.date.accessioned 2013-05-30T00:29:37Z
dc.date.available 2013-05-30T00:29:37Z
dc.date.issued 2013-05-30
dc.identifier http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000400019
dc.identifier http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=2000&volume=30&issue=4&spage=741
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/123456789/3102
dc.description We review recent investigations of the critical behavior of ferromagnetic q-state Potts models on a class of hierarchical lattices, with exchange interactions according to some deterministic but aperiodic substitution rules. The problem is formulated in terms of exact recursion relations on a suitable parameter space. The analysis of the fixed points of these equations leads to a criterion to gauge the relevance of the aperiodic geometric fluctuations. For irrelevant fluctuations, the critical behavior remains unchanged with respect to the underlying uniform models. In the presence of relevant fluctuations, a non-trivial symmetric fixed point, associated with the critical behavior of the uniform model, becomes fully unstable, and there appears a two-cycle of the recursion relations. A scaling analysis, supported by direct numerical thermodynamical calculations, shows the existence of a novel critical universality class associated with relevant geometric fluctuations.
dc.publisher Sociedade Brasileira de Física
dc.source Brazilian Journal of Physics
dc.title Critical behavior of ferromagnetic spin models with aperiodic exchange interactions


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