Critical phenomena and quenched disorder

V.S. Dotsenko^a, b
^aLPTMC, Université, Paris, France
^bLandau 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.

PACS: 05.70.Fh, 05.50.+q, 05.70.jk (all)
DOI: 10.1070/PU1995v038n05ABEH000084
URL: https://ufn.ru/en/articles/1995/5/a/
Web of Science

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

References (65) Cited by (164) Similar articles (20) ↓

R. Folk, Yu. Holovatch, T. Yavorskii “Critical exponents of a three-dimensional weakly diluted quenched Ising model” Phys. Usp. 46 169–191 (2003)
S.V. Maleev “Polarized neutron scattering in magnets” Phys. Usp. 45 569–596 (2002)
I.K. Kamilov, A.K. Murtazaev, Kh.K. Aliev “Monte Carlo studies of phase transitions and critical phenomena” Phys. Usp. 42 689–709 (1999)
V.S. Dotsenko “Physics of the spin-glass state” Phys. Usp. 36 (6) 455–485 (1993)
R.S. Gekht “Magnetic states and phase transitions in frustrated triangular-lattice antiferromagnets” Sov. Phys. Usp. 32 871–890 (1989)
I.Ya. Korenblit, E.F. Shender “Spin glasses and nonergodicity” Sov. Phys. Usp. 32 139–162 (1989)
A.I. Olemskoi, I.A. Sklyar “Evolution of the defect structure of a solid during plastic deformation” Sov. Phys. Usp. 35 (6) 455–480 (1992)
S.V. Demishev “Spin-fluctuation transitions” Phys. Usp. 67 22–43 (2024)
V.V. Prudnikov, P.V. Prudnikov, M.V. Mamonova “Nonequilibrium critical behavior of model statistical systems and methods for the description of its features” Phys. Usp. 60 762–797 (2017)
V.I. Alkhimov “Excluded volume effect in statistics of self-avoiding walks” Phys. Usp. 37 527–561 (1994)
A.I. Olemskoi, I.V. Koplyk “The theory of spatiotemporal evolution of nonequilibrium thermodynamic systems” Phys. Usp. 38 1061–1097 (1995)
A.M. Dykhne, Yu.B. Rumer “Thermodynamics of a plane Ising-Onsager dipole lattice” Sov. Phys. Usp. 4 698–705 (1962)
A.I. Olemskoi, A.Ya. Flat “Application of fractals in condensed-matter physics” Phys. Usp. 36 (12) 1087–1128 (1993)
V.F. Kovalenko, E.L. Nagaev “Photoinduced magnetism” Sov. Phys. Usp. 29 297–321 (1986)
T.V. Tropin, Ju.W.P. Schmelzer, V.L. Aksenov “Modern aspects of the kinetic theory of glass transition” Phys. Usp. 59 42–66 (2016)
B.M. Smirnov “Scaling method in atomic and molecular physics” Phys. Usp. 44 1229–1253 (2001)
S.V. Demishev, Yu.V. Kosichkin et al “Amorphous semiconductors prepared by quenching under high pressure” Phys. Usp. 37 185–217 (1994)
A.I. Olemskoi “Theory of stochastic systems with singular multiplicative noise” Phys. Usp. 41 269–301 (1998)
I.M. Suslov “Development of a (4-ε)-dimensional theory for the density of states of a disordered system near the Anderson transition” Phys. Usp. 41 441–467 (1998)
I.Ya. Korenblit, E.F. Shender “Ferromagnetism of disordered systems” Sov. Phys. Usp. 21 832–851 (1978)

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