Quantum phase transitions

Continuous phase transitions that occur at zero temperature as a result of quantum fluctuations required by Heisenberg’s uncertainty principle are called quantum phase transitions. In the present paper an elementary introduction to quantum phase transitions is given. A few experimental examples from the physics of heavy-fermion systems and itinerant ferromagnets are described.

PACS: 64.60.−i, 71.10.−w, 71.10.Hf (all)
DOI: 10.1070/PU2004v047n08ABEH001850
URL: https://ufn.ru/en/articles/2004/8/b/
Web of Science

000225645400002
ADS NASA

2004PhyU...47..789S
Citation: Stishov S M "Quantum phase transitions" Phys. Usp. 47 789–795 (2004)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Стишов С М «Квантовые фазовые переходы» УФН 174 853–860 (2004); DOI: 10.3367/UFNr.0174.200408b.0853

References (37) Cited by (32) Similar articles (20) ↓

V.F. Gantmakher, V.T. Dolgopolov “Localized-delocalized electron quantum phase transitions” Phys. Usp. 51 3–22 (2008)
E.L. Shangina, V.T. Dolgopolov “Quantum phase transitions in two-dimensional systems” Phys. Usp. 46 777–787 (2003)
B.S. Dumesh “Influence of quantum fluctuations on the magnetic properties of quasi-one-dimensional triangular antiferromagnets” Phys. Usp. 43 365–380 (2000)
E.G. Maksimov “High-temperature superconductivity: the current state” Phys. Usp. 43 965–990 (2000)
V.F. Gantmakher, V.T. Dolgopolov “Superconductor-insulator quantum phase transition” Phys. Usp. 53 1–49 (2010)
E.Z. Kuchinskii, I.A. Nekrasov, M.V. Sadovskii “Generalized dynamical mean-field theory in the physics of strongly correlated systems” Phys. Usp. 55 325–355 (2012)
M.V. Sadovskii “Pseudogap in high-temperature superconductors” Phys. Usp. 44 515–539 (2001)
V.N. Ryzhov, E.E. Tareyeva et al “Berezinskii—Kosterlitz—Thouless transition and two-dimensional melting” Phys. Usp. 60 857–885 (2017)
I.K. Kamilov, A.K. Murtazaev, Kh.K. Aliev “Monte Carlo studies of phase transitions and critical phenomena” Phys. Usp. 42 689–709 (1999)
A.I. Olemskoi “Theory of stochastic systems with singular multiplicative noise” Phys. Usp. 41 269–301 (1998)
V.P. Skripov, A.V. Skripov “Spinodal decomposition (phase transitions via unstable states)” Sov. Phys. Usp. 22 389–410 (1979)
M.A. Anisimov, E.E. Gorodetskii, V.M. Zaprudskii “Phase transitions with coupled order parameters” Sov. Phys. Usp. 24 57–75 (1981)
I.S. Lyubutin, A.G. Gavriliuk “Research on phase transformations in 3d-metal oxides at high and ultrahigh pressure: state of the art” Phys. Usp. 52 989–1017 (2009)
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)
L.I. Manevich, A.V. Savin et al “Solitons in nondegenerate bistable systems” Phys. Usp. 37 859–879 (1994)
I.N. Askerzade “Study of layered superconductors in the theory of an electron — phonon coupling mechanism” Phys. Usp. 52 977–988 (2009)
R.S. Gekht “Magnetic states and phase transitions in frustrated triangular-lattice antiferromagnets” Sov. Phys. Usp. 32 871–890 (1989)
G.A. Martynov “The problem of phase transitions in statistical mechanics” Phys. Usp. 42 517–543 (1999)
A.V. Nikolaev, A.V. Tsvyashchenko “The puzzle of the γ→α and other phase transitions in cerium” Phys. Usp. 55 657–680 (2012)
V.V. Val’kov, D.M. Dzebisashvili et al “Spin-polaron concept in the theory of normal and superconducting states of cuprates” Phys. Usp. 64 641–670 (2021)

The list is formed automatically.