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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (175) 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.V. Koplyk “The theory of spatiotemporal evolution of nonequilibrium thermodynamic systems” Phys. Usp. 38 1061–1097 (1995)
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.I. Alkhimov “Excluded volume effect in statistics of self-avoiding walks” Phys. Usp. 37 527–561 (1994)
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)
A.M. Dykhne, Yu.B. Rumer “Thermodynamics of a plane Ising-Onsager dipole lattice” Sov. Phys. Usp. 4 698–705 (1962)
V.F. Kovalenko, E.L. Nagaev “Photoinduced magnetism” Sov. Phys. Usp. 29 297–321 (1986)
A.I. Olemskoi, A.Ya. Flat “Application of fractals in condensed-matter physics” Phys. Usp. 36 (12) 1087–1128 (1993)
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)
M.A. Mikulinskii “Effect of small perturbations on the behavior of thermodynamics quantities near a second-order phase transition point” Sov. Phys. Usp. 16 361–380 (1973)
S.M. Stishov “Quantum phase transitions” Phys. Usp. 47 789–795 (2004)
L.I. Klushin, A.M. Skvortsov, A.A. Gorbunov “An exactly solvable model for first- and second-order transitions” Phys. Usp. 41 639–649 (1998)
E.L. Nagaev “Phase separation in high-temperature superconductors and related magnetic systems” Phys. Usp. 38 497–520 (1995)
A.I. Olemskoi “Theory of stochastic systems with singular multiplicative noise” Phys. Usp. 41 269–301 (1998)

The list is formed automatically.