Reviews of topical problems

Critical phenomena and quenched disorder

 a, b
a LPTMC, Université, Paris, France
b Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation

Theoretical ideas for deriving singularities of thermodynamical functions at the second-order phase transitions in spin systems with weak quenched disorder are considered. In particular, p-component vector magnets and the two-dimensional Ising model with disorder in spin-spin interactions are studied. Generalisation of the traditional renormalisation-group scheme, which takes into account non-perturbative spin-glass degrees of freedom, is proposed. Low-temperature properties and the phase transition in the Ising systems with quenched random fields are also considered.

Text can be downloaded in Russian. English translation is available on IOP Science.
PACS: 05.70.Fh, 05.50.+q, 05.70.jk (all)
DOI: 10.1070/PU1995v038n05ABEH000084
Citation: Dotsenko V S "Critical phenomena and quenched disorder" Phys. Usp. 38 457–496 (1995)
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Оригинал: Доценко В С «Критические явления в спиновых системах с беспорядком» УФН 165 481–528 (1995); DOI: 10.3367/UFNr.0165.199505a.0481

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