Skip to main content

The Search for Non-Fermi Liquid Behavior in the Normal State of Low Density Fermion Systems

  • Chapter
  • First Online:
Modern trends in Superconductivity and Superfluidity

Part of the book series: Lecture Notes in Physics ((LNP,volume 874))

  • 1981 Accesses

Abstract

In this chapter we consider the normal state of the basic one-band and two-band models (in particular Fermi-gas and Hubbard models) in 3D and 2D case at low electron densities.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Lifshitz, E.M., Pitaevskii, L.P.: Statistical Physics, Part 2. Pergamon, New York (1980)

    Google Scholar 

  2. Haldane, F.D.M.: J. Phys. C: Solid State Phys. 14, 2585 (1981)

    Article  ADS  Google Scholar 

  3. Emery, V.J.: Highly Conducting one dimensional solids. In: Devreese, J. (eds.) Plenum, New York (1979)

    Google Scholar 

  4. Varma, C.M., Littlewood, P.B., Schmitt-Rink, S., Abrahams, E., Ruchenstein, A.E.: Phys. Rev. Lett. 63, 1996 (1989)

    Article  ADS  Google Scholar 

  5. Galitskii, V.M.: Sov. Phys. JETP 7, 104 (1958)

    MathSciNet  Google Scholar 

  6. Bloom, P.: Phys. Rev. B 12, 125 (1975)

    Article  ADS  Google Scholar 

  7. Abrikosov, A.A., Gor’kov, L.P., Dzyaloshinskii, I.E.: Quantum Field Theoretical Methods in Statistical Physics. Pergamon, New York (1965)

    MATH  Google Scholar 

  8. Khodel’, V.A., Shaginyan, V.R.: JETP Lett. 51, 488 (1990)

    Google Scholar 

  9. Sólyom, J.: Adv. Phys. 28, 201 (1979)

    Article  ADS  Google Scholar 

  10. Anderson, P.W.: Phys. Rev. Lett. 64, 1839 (1990)

    Article  ADS  Google Scholar 

  11. Anderson, P.W.: Phys. Rev. Lett. 65, 2306 (1990)

    Article  ADS  Google Scholar 

  12. Anderson, P.W.: Phys. Rev. Lett. 66, 3226 (1991)

    Article  ADS  Google Scholar 

  13. Hubbard, J.: Proc. Roy. Soc. London A276, 238 (1963)

    Article  ADS  Google Scholar 

  14. Kanamori, J.: Progr. Theor. Phys. 30, 275 (1963)

    Article  MATH  ADS  Google Scholar 

  15. Kagan, M.Yu., Val’kov, V.V., Wölfle, P.: Sov. Low Temp. Phys. 37, 834–839 (2011)

    Google Scholar 

  16. Stamp, P.C.E.: Jour. Phys. (France) 3, 625 (1993) (N.V. Prokof’ev, unpublished)

    Google Scholar 

  17. Baranov, M.A., Kagan, M.Yu., Mar’enko, M.S.: JETP Lett. 58, 710 (1993)

    Google Scholar 

  18. Anderson, P.W.: Phys. Rev. Lett. 18, 1049 (1958)

    Article  ADS  Google Scholar 

  19. Engelbrecht, J.R., Randeria, M.: Phys. Rev. Lett. 65, 1032 (1990)

    Article  ADS  Google Scholar 

  20. Engelbrecht, J.R., Randeria, M.: Phys. Rev. Lett. 66, 3225 (1991)

    Article  ADS  Google Scholar 

  21. Engelbrecht, J.R., Randeria, M.: Phys. Rev. B 45, 12419 (1992)

    Article  ADS  Google Scholar 

  22. Fukuyama, H., Narikiyo, O., Hasegawa, Y.: J. Phys. Soc. Jpn. 60, 372 (1991)

    Article  ADS  Google Scholar 

  23. Fukuyama, H., Narikiyo, O., Hasegawa, Y.: J. Phys. Soc. Jpn. 60, 2013 (1991)

    Article  ADS  Google Scholar 

  24. Fabrizio, M., Tossatti, E., Parola, A.: Doctoral Thesis (M. Fabrizio) (1992)

    Google Scholar 

  25. Afanas’ev, A.M., Kagan, M.Yu.: Sov. Phys. JETP 16, 1035 (1962)

    Google Scholar 

  26. Chubukov, A.V., Maslov, D.L., Gangadharaiah, S., Glazman, L.I.: Phys. Rev. Lett. 95, 026402 (2005)

    Article  ADS  Google Scholar 

  27. Gangadharaiah, S., Maslov, D.L., Chubukov, A.V., Glazman, L.I.: Phys. Rev. Lett. 94, 156407 (2005)

    Article  ADS  Google Scholar 

  28. Chubukov, A.V., Maslov, D.L.: Phys. Rev. B 81, 245102 (2010)

    Article  ADS  Google Scholar 

  29. Coffey, D., Bedell, K.S.: Phys. Rev. Lett. 71, 1043 (1993)

    Article  ADS  Google Scholar 

  30. Higley, R.H., Sprague, D.T., Hallock, R.B.: Phys. Rev. Lett. 63, 2570 (1989)

    Article  ADS  Google Scholar 

  31. Alikacem, N., Sprague, D.T., Hallock, R.B.: Phys. Rev. Lett. 67, 2501 (1991)

    Article  ADS  Google Scholar 

  32. Lusher, C.P., Cowan, B.P., Saunders, J.: Phys. Rev. Lett. 67, 2497 (1991)

    Article  ADS  Google Scholar 

  33. Godfrin, H.: Private communication to the author

    Google Scholar 

  34. Lifshitz, E.M., Pitaevskii, L.P.: Physical Kinetics, vol. 10 (Course of Theoretical Physics). Butterworth-Heinemann, Oxford (1981)

    Google Scholar 

  35. Val’kov, V.V., Mitskan, V.A.: Sov. Phys. Met. Metallogr. 100, 510 (2005)

    Google Scholar 

  36. Ando, T., Fowler, A.B., Stern, F.: Rev. Mod. Phys. 54, 437 (1982)

    Google Scholar 

  37. Kagan, M.Yu., Fresard, R., Capezzali, M., Beck, H.: Phys. Rev. B 57, 5995 (1998)

    Google Scholar 

  38. Kagan, M.Yu., Fresard, R., Capezzali, M., Beck, H.: Physica B 284–288, 447 (2000)

    Google Scholar 

  39. Combescot, R., Leyronas, X., Kagan, M.Yu.: Phys. Rev. A 73, 023618 (2006)

    Google Scholar 

  40. Kagan, M.Yu., Val’kov, V.V.: Sov. Low Temp. Phys. 37, 69 (2011)

    Google Scholar 

  41. Kagan, M.Yu., Val’kov, V.V.: JETP 140, 179 (2011)

    Google Scholar 

  42. Kagan, M.Yu., Val’kov, V.V.: A Lifetime in Magnetism and Superconductivity: a Tribute to Professor David Shoenberg. Cambridge Scientific Publishers, Cambridge (2011)

    Google Scholar 

  43. Fulde, P.: Electron Correlations in Molecules and Solids. Springer-Verlag, Berlin (1991)

    Book  Google Scholar 

  44. Gutzwiller, M.C.: Phys. Rev. Lett. 10, 159 (1963)

    Article  ADS  Google Scholar 

  45. Vollhardt, D.: Rev. Mod. Phys. 56, 99 (1984)

    Article  ADS  Google Scholar 

  46. Vollhardt, D., Wölfle, P., Anderson, P.W.: Phys. Rev. B 35, 6703 (1987)

    Article  ADS  Google Scholar 

  47. Imry, Y.: Introduction to Mesoscopic Physics, 2nd edn. Oxford University Press, Oxford (2002)

    Google Scholar 

  48. Altshuler, B.L., Aronov A.G.: Electron–electron interactions in disordered systems. In: Efros, A.L., Pollack, M. (eds.) Modern Problems in Condensed Matter Systems, vol. 10, p. 1. North Holland, Amsterdam (1985)

    Google Scholar 

  49. Kagan, M.Yu., Aronov, A.G.: Czech. Jour. Phys. 46, 2061 (1996)

    Google Scholar 

  50. Landau, L.D.: Phys. Ztshr. Sow. 10, 154 (1936)

    Google Scholar 

  51. Levin, E.M., Pecharsky, V.K., Gschneidner Jr, K.R., Miller, G.J.: Phys. Rev. B 64, 235103 (2001)

    Article  ADS  Google Scholar 

  52. Abrikosov, A.A., Khalatnikov, I.M.: Sov. Phys. ZhETF 33, 1154 (1957)

    Google Scholar 

  53. Hodges, C., Smith, H., Wilkins, J.W.: Phys. Rev. B 4, 302 (1971)

    Article  ADS  Google Scholar 

  54. Kagan, M.Yu.: Habilitation Thesis, Kapitza Institute, Moscow (1994)

    Google Scholar 

  55. Mott, N.F.: Metal-Insulator Transitions, Taylor and Francis, London (1974)

    Google Scholar 

  56. Mott, N.F., Davis, E.A.: Electronic Processes in Non-Crystalline Materials. Oxford University Press, USA (1979)

    Google Scholar 

  57. Kagan, Y., Prokof'ev, N.V.: Sov. Phys. ZhETF 93, 356 (1987)

    Google Scholar 

  58. Kagan, Y., Prokof'ev, N.V.: Sov. Phys. ZhETF 90, 2176 (1986)

    Google Scholar 

  59. Kagan, M.Yu., Val'kov, V.V.: Jour. Supercond. Novel Magn. 25, 1379 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M Yu Kagan .

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Kagan, M.Y. (2013). The Search for Non-Fermi Liquid Behavior in the Normal State of Low Density Fermion Systems. In: Modern trends in Superconductivity and Superfluidity. Lecture Notes in Physics, vol 874. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6961-8_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-6961-8_14

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6960-1

  • Online ISBN: 978-94-007-6961-8

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics