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.

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) BibTexBibNote ® (generic)BibNote ® (RIS)Medline RefWorks RT Journal T1 Critical phenomena and quenched disorder A1 Dotsenko,V.S. PB Physics-Uspekhi PY 1995 FD 10 May, 1995 JF Physics-Uspekhi JO Phys. Usp. VO 38 IS 5 SP 457-496 DO 10.1070/PU1995v038n05ABEH000084 LK https://ufn.ru/en/articles/1995/5/a/ Оригинал: Доценко В С «Критические явления в спиновых системах с беспорядком» УФН 165 481–528 (1995); DOI: 10.3367/UFNr.0165.199505a.0481