Issues

 / 

2004

 / 

August

  

Reviews of topical problems


Quantum phase transitions


Institute for High Pressure Physics, Russian Academy of Sciences, Kaluzhskoe shosse 14, Troitsk, Moscow, 108840, Russian Federation

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.

Fulltext pdf (210 KB)
Fulltext is also available at DOI: 10.1070/PU2004v047n08ABEH001850
PACS: 64.60.−i, 71.10.−w, 71.10.Hf (all)
DOI: 10.1070/PU2004v047n08ABEH001850
URL: https://ufn.ru/en/articles/2004/8/b/
000225645400002
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)

  1. Sachdev S Quantum Phase Transitions (Cambridge: Cambridge Univ. Press, 1999)
  2. Continentino M A Quantum Scaling in Many-Body Systems (Singapore: World Scientific, 2001)
  3. Continentino M A Phys. Rep. 239 179 (1994)
  4. Sondhi S L et al. Rev. Mod. Phys. 69 315 (1997)
  5. Vojta T Ann. Phys. (Leipzig) 9 403 (2000)
  6. Coleman P et al. J. Phys.: Condens. Matter 13 R723 (2001)
  7. Stewart G R Rev. Mod. Phys. 73 797 (2001)
  8. Lavagna M Philos. Mag. B 81 1469 (2001)
  9. Varma C M, Nussinov Z, van Saarloos W Phys. Rep. 361 267 (2002)
  10. Hertz J A Phys. Rev. B 14 1165 (1976)
  11. Millis A J Phys. Rev. B 48 7183 (1993)
  12. Pfeuty P, Elliott R J J. Phys. C: Solid State Phys. 4 2370 (1971)
  13. Young A P J. Phys. C: Solid State Phys. 8 L309 (1975)
  14. Landau L D, Lifshitz E M Statisticheskaya Fizika (Statistical Physics) Pt. 1 (Moscow: Fizmatlit, 1995) [Translated into English (Oxford: Pergamon Press, 1980)]
  15. Patashinskii A Z, Pokrovskii V L Fluktuatsionnaya Teoriya Fazovykh Perekhodov (Fluctuation Theory of Phase Transitions) 2nd ed. (Moscow: Fizmatlit, 1982) [Translated into English of 1st Russian ed. (Oxford: Pergamon Press, 1979)]
  16. Stanley H E Introduction to Phase Transitions and Critical Phenomena (Oxford: Clarendon Press, 1971) [Translated into Russian (Moscow: Mir, 1973)]
  17. Levanyuk A P Zh. Eksp. Teor. Fiz. 36 810 (1959) [Sov. Phys. JETP 9 571 (1959)]
  18. Ginzburg V L Fiz. Tverd. Tela 2 2034 (1960) [Sov. Phys. Solid State 2 1824 (1961)]
  19. Goldenfeld N Lectures on Phase Transitions and the Renormalization Group (Reading, Mass.: Addison-Wesley, Adv. Book Program, 1992)
  20. Cardy J Scaling and Renormalization in Statistical Physics 2nd ed. (Cambridge: Cambridge Univ. Press, 2002)
  21. Erkelens W A et al. Europhys. Lett. 1 37 (1986)
  22. Andraka B, Tsvelik A M Phys. Rev. Lett. 67 2886 (1991)
  23. Aronson M C et al. Phys. Rev. Lett. 75 725 (1995)
  24. Tsvelik A M, Reizer M Phys. Rev. B 48 9887 (1993)
  25. Zhu L et al. Phys. Rev. Lett. 91 066404 (2003)
  26. Hewson A C The Kondo Problem to Heavy Fermions (Cambridge: Cambridge Univ. Press, 1993)
  27. Pietrus T et al. Physica B 206 – 207 317 (1995)
  28. Schröder A et al. Nature 407 351 (2000)
  29. Stockert O et al. Physica B 312 – 313 458 (2002)
  30. Gegenwart P et al. Phys. Rev. Lett. 89 056402 (2002)
  31. Custers J et al. Nature 424 524 (2003)
  32. Mathur N D et al. Nature 394 39 (1998)
  33. Saxena S S et al. Nature 406 587 (2000)
  34. Settai R et al. J. Phys.: Condens. Matter 14 L29 (2002)
  35. Sandeman K G, Lonzarich G G, Schofield A J Phys. Rev. Lett. 90 167005 (2003)
  36. Pfleiderer C et al. Nature 412 58 (2001)
  37. Stishov S M et al. (to be published)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions