Skip to main content
SpringerLink
Log in

Dynamics of Quasi-One-Dimensional Charge Density Waves

  • Chapter
Low-Dimensional Conductors and Superconductors

Part of the book series: NATO ASI Series ((NSSB,volume 155))

Abstract

The collective conduction in the charge density wave (CDW) systems was proposed about thirty years ago by Fröhlich as a possible mechanism of superconductivity. Already then it was realized that this phenomenon is restricted to highly anisotropic materials which have an almost flat Fermi surface and undergo the Peierls2 instability. In the idealized situation considered in Sec.2, the corresponding Goldstone mode is associated with the bodily and frictionless translational motion of the whole Fröhlich condensate including the CDW modulation.

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

Access this chapter

Log in via an institution
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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Fröhlich, Proc.Roy.Soc. A223, 296 (1954).

    Article  ADS  MATH  Google Scholar 

  2. R.E. Peierls, Ann.Phys., Lpz., 4, 121 (1930); Quantum Theory of Solids, p.108, Clarendon Press, Oxford (1955).

    Article  ADS  Google Scholar 

  3. G. Grüner and A. Zettl, Physics Reports 119, 117 (1985); G.Grüner, to be publi shed.

    Article  ADS  Google Scholar 

  4. P. Monceau, in Electronic Properties of Inorganic Quasi-One-Dimensional Materials, II, p.139, éd.P.Monceau, D.Riedel, Pubi.Comp., Dordrecht (1985).

    Book  Google Scholar 

  5. R.M. Fleming, Synthetic Metals 13, 241 (1986).

    Article  MathSciNet  Google Scholar 

  6. C. Schlenker, J. Dumas, in Crystal Chemistry and Properties of Materials with Quasi-One-Dimensional Structures, p.135, ed.J.Rouxel, D.Riedel Pubi.Comp., Dordrecht (1986).

    Book  Google Scholar 

  7. R.C. Lacoe, H.J. Schulz, D. Jerome and L. Johannsen, Phys.Rev.Lett. 55, 2351 (1985).

    Article  ADS  Google Scholar 

  8. P.M. Chaikin, J.F. Kwak, T.E. Jones, A.F. Garito and A.J. Heeger, Phys.Rev. Lett. 31, 601 (1973); D.Jérome and H. Schulz, Adv.in Phys. 31, 299 (1982).

    Article  ADS  Google Scholar 

  9. P.A. Lee, T.M. Rice and P.W. Anderson, Solid State Commun. 14, 703 (1974).

    Article  ADS  Google Scholar 

  10. H. Fukuyama and P.A. Lee, Phys.Rev. B17, 535 (1978); P.A.Lee and H.Fukuyama, ibid. B17, 542 (1978).

    Article  ADS  Google Scholar 

  11. K.B. Efetov and A.I. Larkin, Zh.Eksp.Teor.Fiz. 72, 2350 (1977) (Sov.Phys. JETP 45, 1236 (1977)).

    Google Scholar 

  12. P.A. Lee and T.M. Rice, Phys.Rev. B19, 3970 (1979); T.M.Rice, P.A.Lee and M.C.Cross, Phys.Rev. B20, 1345 (1979).

    Article  ADS  Google Scholar 

  13. L.P. Gor’kov, Zh.Eksp.Teor.Fiz. 86, 1818 (1984) (Sov.Physics JETP 59, 1057 (1985)).

    Google Scholar 

  14. I. Batistic, A. Bjelis and L.P. Gor’kov, J. Physique 45, 1049 (1984).

    Article  Google Scholar 

  15. S. Barišić, in Electronic Properties of Inorganic Quasi-One-Dimensional Materials, 1, p.1, ed. P. Monceau, D. Riedel Publ.Comp., Dordrecht (1985).

    Google Scholar 

  16. S. Barisic and A. Bjeliš, in Theoretical Aspects of Band Structures and Electronic Properties of Pseudo-One-Dimensional Solids, p.49, ed. H. Kamimura, D. Riedel Publ. Comp., Dordrecht (1985).

    Chapter  Google Scholar 

  17. D. Allender, J.W. Bray and J. Bardeen, Phys.Rev. B9, 119 (1974).

    Article  ADS  Google Scholar 

  18. S.A. Brazovskii and I.E. Dzyaloshinskii, Zh.Eksp. Teor.Fiz. 71, 2338 (1976) (Sov.Phys. JETP 44, 1233 (1976)).

    Google Scholar 

  19. S.Barišić, these Proceedings.

    Google Scholar 

  20. Z.B. Su and B. Sakita, Phys.Rev.Lett. 56, 780 (1986).

    Article  ADS  Google Scholar 

  21. A.A. Abrikosov, L.P. Gor’kov and I.E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics, Dower Inc, New York (1963).

    MATH  Google Scholar 

  22. Proc.Int.Conf. on Charge Density Waves in Solids, Budapest, Sept. 1984, ed.G.Hutiray and J.Solyom, Lecture Notes in Physics, Springer-Verlag, vol.217, Berlin, Heidelberg, New York, Tokyo.

    Google Scholar 

  23. Proc.Int.Symp. on Non-Linear Transport and Related Phenomena in Organic Quasi-One-Dimensional Conductors, Sapporo, Oct. 1983, Hokkaido University.

    Google Scholar 

  24. S. Takada, M. Wong and T. Holstein, Ref.22, p.227.

    Google Scholar 

  25. L.P. Gor’kov and G.M. Eliashberg, Zh.Eksp.Teor.Fiz. 54, 612 (1968) (Sov. Physics JETP 27, 328 (1968)).

    Google Scholar 

  26. J. Bardeen, Phys.Rev.Lett. .55, 1010 (1985), and these Proceedings.

    Article  ADS  Google Scholar 

  27. R.M. Fleming and G.G. Grimes, Phys. Rev. Lett. 42, 1423 (1979).

    Article  ADS  Google Scholar 

  28. J. Richard, P. Monceau and M. Renard, Phys.Rev. B25, 948 (1982).

    Article  ADS  Google Scholar 

  29. G. Grüner, A. Zawadowski and P.M. Chaikin, Phys.Rev.Lett. 46, 511 (1981).

    Article  ADS  Google Scholar 

  30. L. Sneddon, M.C. Cross and D.S. Ficher, Phys.Rev.Lett. 49, 292 (1982). L.Sneddon, Phys.Rev. B29, 719 (1984).

    Article  ADS  Google Scholar 

  31. S.N. Coppersmith and P.B. Littlewood, Phys.Rev. B31, 4049 (1985); S.N.Coppersmith, Phys.Rev. B34, 2073 (1986).

    Article  ADS  Google Scholar 

  32. L.P. Gor’kov, Pisma Zh.Eksp.Teor.Fiz. 38, 76 (1983) (Sov.Phys.JETP Letters 28, 87 (1983)).

    Google Scholar 

  33. The conversion to the ohmic current may also proceed through the formation of transverse phase vortices and their propagation along the obstacle. This mechanism was proposed by N.P. Ong, G. Verma and K. Maki, Phys. Rev. Lett. 52, 663 (1984). See also K.Maki, Phys.Rev. B33, 2852 (1986).

    Article  ADS  Google Scholar 

  34. M.J. Rice, A.R. Bishop, J.A. Krumhansl and S. E. Trullinger, Phys.Rev.Lett. 36, 432 (1976).

    Article  ADS  Google Scholar 

  35. H.J. Schulz, Solid State Commun. 34, 455 (1980).

    Article  ADS  Google Scholar 

  36. The common expression which covers both limits has the form j (math) L.P.Gor’kov and E.N. Dolgov, Zh. Eksp.Teor. Fiz. 77, 396 (1979) (Sov.Phys.JETP 50, 203 (1979)). 37. M.C.Saint-Lager, Thèse, Grenoble 1983; P.Monceau, M.Renard, J.Richard and M.C.Saint-Lager, Physica B (1986), to be published.

    Google Scholar 

  37. J.C. Gill, Solid State Commun. 44, 1041 (1982); Ref.22, p.377, Ref.23, p.139.

    Article  ADS  Google Scholar 

  38. M. Prester, Phys.Rev. B32, 2621 (1985).

    Article  ADS  Google Scholar 

  39. G. Mihaly, G. Hutiray and L. Mihaly, Phys.Rev. B28, 4896 (1983).

    Article  ADS  Google Scholar 

  40. N.P. Ong and G. Verma, Phys.Rev. B27, 4495 (1983), Ref.23, p.115.

    Article  ADS  Google Scholar 

  41. X.J. Zhang, N.P. Ong and J.C. Eckert, Phys.Rev.Lett. 56, 1206 (1986); N.P.Ong. G.Verma and X.J.Zhang, Ref.22, p.296.

    Article  ADS  Google Scholar 

  42. A. Zettl and G. Grüner, Phys.Rev. B26, 2298 (1982); Phys.Rev. B29, 755 (1984).

    Article  ADS  Google Scholar 

  43. J.W. Lyding, J.S. Hubacek, G. Gammie and R.E. Thorne, Phys.Rev. B33, 434l (1986).

    Google Scholar 

  44. R.P. Hall, M.F. Hundley and A. Zettl, Phys.Rev.Lett. 56, 2399 (1986).

    Article  ADS  Google Scholar 

  45. A. Bjelis and D. Jelcic, J.Physique Lettres 46, L283 (1985).

    Article  Google Scholar 

  46. S.E. Brown, G. Mozurkewich and G. Grüner, Phys.Rev.Lett. 52, 2277 (1984).

    Article  ADS  Google Scholar 

  47. P. Monceau, J. Richard and M. Renard, Phys.Rev.Lett. 42, 43 (1980); Phys.Rev. B25, 931 (1982).

    Article  ADS  Google Scholar 

  48. S.E. Brown and L. Mihaly, Phys.Rev.Lett. 55, 742 (1985).

    Article  ADS  Google Scholar 

  49. S. Shapiro, Phys.Rev.Lett. 11, 80 (1963); S.Shapiro, A.R.Janus and S.Holly, Rev.Mod.Phys. 36, 223 (196477

    Article  ADS  Google Scholar 

  50. D.Jelčić, I.Batistić and A.Bjelis, to be published.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics of the University, POB 304, 41001, Zagreb, Croatia, Yugoslavia

    Aleksa Bjeliš

Authors
  1. Aleksa Bjeliš
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University of Paris-South, Orsay, France

    D. Jérome

  2. University of Sherbrooke, Sherbrooke, Quebec, Canada

    L. G. Caron

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer Science+Business Media New York

About this chapter

Cite this chapter

Bjeliš, A. (1987). Dynamics of Quasi-One-Dimensional Charge Density Waves. In: Jérome, D., Caron, L.G. (eds) Low-Dimensional Conductors and Superconductors. NATO ASI Series, vol 155. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3611-0_33

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-3611-0_33

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-3613-4

  • Online ISBN: 978-1-4899-3611-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation