RSS feeds
ÐóññêèéEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1993

 / 

February

←  →

Reviews of topical problems


Theory of a superfluid Fermi liquid

 a, , ,
a National Scientific Centre ‘Kharkov Physicotechnical Institute’, ul. Akademicheskaya 1, Kharkov, 310108, Ukraine

A Fermi-liquid approach to the theory of superfluidity is developed, based on a generalization of the combinatoric expression for the entropy to the case in which the state of the Fermi liquid is described not only by a normal but also by an anomalous distribution function. The energy of the superfluid Fermi liquid is given in the form of a functional of these distribution functions. In the weak-coupling approximation the Fermi-liquid approach is equivalent to the BCS theory. The interaction between the Fermi liquid and an electromagnetic field is gauge invariant. In addition to the singlet-pairing theory the triplet-pairing theory is also developed. A unified variational principle that gives rise to the theory of superfluidity (superconductivity) is used to obtain the London equations and the Ginzburg–Landau equation. Applications of this theory are made to the derivation of an equation for ideal two-component hydrodynamics.

Fulltext pdf (1.4 MB)
Fulltext is also available at DOI: 10.1070/PU1993v036n02ABEH002127
PACS: 67.55.Cx, 67.55.Fa, 67.57.Bc, 67.57.De, 74.20.De (all)
DOI: 10.1070/PU1993v036n02ABEH002127
URL: https://ufn.ru/en/articles/1993/2/a/
Citation: Akhiezer A I, Krasil’nikov V V, Peletminskii S V, Yatsenko A A "Theory of a superfluid Fermi liquid" Phys. Usp. 36 (2) 35–64 (1993)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Àõèåçåð À È, Êðàñèëüíèêîâ Â Â, Ïåëåòìèíñêèé Ñ Â, ßöåíêî À À «Òåîðèÿ ñâåðõòåêó÷åé ôåðìè-æèäêîñòè» ÓÔÍ 163 (2) 1–32 (1993); DOI: 10.3367/UFNr.0163.199302a.0001

References (44) ↓ Cited by (14) Similar articles (20)

  1. Landau L D, Zh Éksp Teor. Fiz. 30 1058 (1956); Landau L D, Zh Éksp Sov. Phys. JETP 3 920 (1957)
  2. Abrikosov A A, L P Gor’kov, and I E Dzyaloshinskii Methods Of Quantum Field Theory In Statistical Physics (Prentice-Hall, Englewood Cliffs, N.J., 1963); Russ. original, Abrikosov A A, L P Gor’kov, and I E Dzyaloshinskii Methods Of Quantum Field Theory In Statistical Physics (Fizmatgiz, M., 1962)
  3. Kadanoff L and G Baym Quantum Statistical Mechanics (Benjamin, N.Y., 1962); Russ. transl., Kadanoff L and G Baym Quantum Statistical Mechanics (Mir, M., 1964)
  4. Kondrat’ev A S and A G Kuchma The Electron Fluid Of Normal Metals [in Russian] (Leningrad State University, L., 1980)
  5. Lifshitz E M and L P Pitaevskil Statistical Physics (Part II) (Pergamon, Oxford, 1980); Russ. original, Lifshitz E M and L P Pitaevskil Statistical Physics (Part II) (Nauka, M., 1978)
  6. Akhiezer A I and S V Peletminskil Methods Of Statistical Physics (Pergamon, N.Y., 1981); Russ. original, Akhiezer A I and S V Peletminskil Methods Of Statistical Physics (Nauka, M., 1977)
  7. Vlasov A A Zh. Éksp. Teor. Fiz. 8 291 (1939)
  8. Landau L D Zh. Éksp. Teor. Fiz. 32 59 (1957); Landau L D Sov. Phys. JETP 5 161 (1957)
  9. Silin V P Zh. Éksp. Teor. Fiz. 23 641 (1952)
  10. Silin V P Zh. Éksp. Teor. Fiz. 33 495 (1957); Silin V P Sov. Phys. JETP 6 387 (1958)
  11. Pomeranchuk I Ya Zh. Éksp. Teor. Fiz. 35 524 (1958); Pomeranchuk I Ya Sov. Phys. JETP 8 361 (1959)
  12. Stoner E C Proc. R. Soc. London A 165 (992) 372 (1938)
  13. Abrikosov A A and I E Dzyaloshinskii Zh. Éksp. Teor. Fiz. 35 771 (1958); Abrikosov A A and I E Dzyaloshinskii Sov. Phys. JETP 8 535 (1959)
  14. I A Akhiezer, V G Syshchenko, and E M Chudnovskii Pis’ma Zh. Éksp. Teor. Fiz. 20 (11) 739 (1974); I A Akhiezer, V G Syshchenko, and E M Chudnovskii JETP Lett. 20 342 (1974)
  15. I A Akhiezer and E M Chudnovskii Fiz. Tverd. Tela 17 1907 (1975); I A Akhiezer and E M Chudnovskii Sov. Phys. Solid State 17 1252 (1975)
  16. Akhiezer I A Ukr. Fiz. Zh. 25 177 (1980)
  17. Kondrat’ev A A and V M Uzdin Electron Fluid Of Magnetically Ordered Metals [in Russian] (Leningrad State University, L., 1988)
  18. Bednorz J G and K A Miiller, Z Phys. B 64 189 (1986)
  19. Gor’kov L D and N B Kopnin Usp. Fiz. Nauk 156 117 (1988); Gor’kov L D and N B Kopnin Sov. Phys. Usp. 31 850 (1988)
  20. Bogoliubov N N Lectures On Quantum Statistics (Gordon & Breach, N. Y., 1967); Ukr. original, Bogoliubov N N Lectures On Quantum Statistics (Kiev, 1949)
  21. Bardeen J, L N Cooper, and J R Schrieffer Phys. Rev. 106 162 (1957); Bardeen J, L N Cooper, and J R Schrieffer Phys. Rev. 108 1175 (1957)
  22. Bogolyubov N N Zh. Éksp. Teor. Fiz. 34 58, 73 (1958); Bogolyubov N N Sov. Phys. JETP 7 41 (1958); Bogolyubov N N Sov. Phys. JETP 7 51 (1958)
  23. Bogolyubov N N "Quasiaverages in statistical mechanics problems (in Russian)" Preprint No. R-1451 (Joint Institute for Nuclear Research, Dubna, 1963); Bogolyubov N N Collected Works [in Russian] Vol. Vol. 3 (Naukova Dumka, Kiev, 1971)
  24. Gor’kov L D Zh. Éksp. Teor. Fiz. 34 735 (1958); Gor’kov L D Sov. Phys. JETP 7 505 (1958)
  25. Eliashberg G M Zh. Éksp. Teor. Fiz. 39 735 (1958); Eliashberg G M Sov. Phys. JETP 12 1000 (1961)
  26. Nambu Y Phys. Rev. 117 648 (1960)
  27. Pitaevski L P&ibreve; Zh. Éksp. Teor. Fiz. 37 1794 (1959); Pitaevski L P&ibreve; Sov. Phys. JETP 10 1267 (1960)
  28. Legget A I Rev. Mod. Phys. 47 331 (1975); Balian R and N R Werthamer Phys. Rev. 131 1553 (1963)
  29. Osheroff D D, R C Richardson, and D M Lee Phys. Rev. Lett. 28 885 (1972)
  30. Mineev V P Usp. Fiz. Nauk 139 303 (1983); Mineev V P Sov. Phys. Usp. 26 160 (1983)
  31. Bogolyubov N N, Jr et al Fiz. Élem. Chast. Atom. Yad. 16 875 (1985); Bogolyubov N N, Jr et al Sov. J. Part. Nucl. 16 389 (1985)
  32. Landau L D Zh. Éksp. Teor. Fiz. 11 592 (1941)
  33. London H and F London Proc. R. Soc. A 149 71 (1935)
  34. Meissner W and R Ochsenfeld Naturwissenschaften 33 (4) 787 (1933)
  35. Ryabinin Yu N and L V Shubnikov Zh. Éksp. Teor. Fiz. 5 130 (1935)
  36. Gor’kov L P Zh. Éksp. Teor. Fiz. 36 1918 (1959); Gor’kov L P Sov. Phys. JETP 9 1364 (1959)
  37. Ginsburg V L and L D Landau Zh. Éksp. Teor. Fiz. 20 1064 (1950)
  38. Volovik G E Usp. Fiz. Nauk 143 73 (1984); Volovik G E Sov. Phys. Usp. 27 363 (1984)
  39. Brusov P N and V N Popov Superfluidity And Collective Properties Of Quantum Fluids [in Russian] (Nauka, M., 1988)
  40. Svidzinskii A V Spatially Nonuniform Problems In The Theory Of Superconductivity [in Russian] (Nauka, M., 1982)
  41. Isaev A A and S V Peletminski&ibreve; Ukr. Fiz. Zh. 37 (6) 952 (1992)
  42. Ambegackar V, P G De Gennes, and D Rather Phys. Rev. A 9 (6) 2676 (1974)
  43. Tarasov A N Preprint No. 92-q2 (Kharkov Physico-Technical Institute, 1992)
  44. Krasiľnikov V V, S V Peletminski&ibreve;, A A Yatsenko, and A A Rozhkov Fiz. Élem. Chast. Atom. Yad. 19 1440 (1988); Krasiľnikov V V, S V Peletminski&ibreve;, A A Yatsenko, and A A Rozhkov Sov. J. Part. Nucl. 19 674 (1988)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions