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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.

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Fulltext is also available at DOI: 10.1070/PU1995v038n05ABEH000084
PACS: 05.70.Fh, 05.50.+q, 05.70.jk (all)
DOI: 10.1070/PU1995v038n05ABEH000084
URL: https://ufn.ru/en/articles/1995/5/a/
A1995RH37700001
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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