Skip to main content
Log in

Plasmons and phonons in anisotropic systems and their effect on high-Tc superconductivity

  • Published:
Journal of Superconductivity Aims and scope Submit manuscript

Abstract

The structure of the plasmon and phonon bands in conducting, highly anisotropic layered materials is studied. The observed high superconducting transition temperatures are caused, in our view, by the coexistence of strong electronphonon coupling and the plasmon mechanism. A generalized Eliashberg equation describing the effects of phonons and plasmons on the pairing is presented. Our approach is based on the method of thermodynamic Green's functions. We point out connections to experiments and briefly comment on other models.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Bednorz and K. Müller,Z. Phys. B 64, 189 (1986).

    Google Scholar 

  2. M. Wu, J. R. Ashburn, C. J. Torng, P. H. Hor, R. L. Meng, L. Gao, Z. J. Huang, Y. Q. Wang, and C. W. Chu,Phys. Rev. Lett. 58, 908 (1987).

    Google Scholar 

  3. S. A. Wolf and V. Z. Kresin (eds.),Novel Superconductivity (Plenum Press, New York, 1987); “High-Temperature Superconductivity,” reprints fromPhys. Rev. Lett. andPhys. Rev. B (American Physical Society, American Institute of Physics, New York, January–June 1987).

    Google Scholar 

  4. D. Pines,Can. J. Phys. 34, 1379 (1956).

    Google Scholar 

  5. H. Fröhlich,J. Phys. C 1, 544 (1968); B. Geilikman,Sov. Phys.-Uspekhi 8, 2032 (1966);16, 17 (1973); E. Pashitskii,Sov. Phys.-JETP 28, 1267 (1969); A. Rothwarf,Phys. Rev. B 2, 3560 (1970); J. Ihm, M. L. Cohen, and S. Tuan,Phys. Rev. B 23, 3258 (1981); J. Ruvalds,Adv. Phys. 30, 677 (1981).

    Google Scholar 

  6. Y. Takada,J. Phys. Soc. Jpn 45, 786 (1978);49, 1713 (1980).

    Google Scholar 

  7. V. Z. Kresin,Phys. Rev. V, p. 1 (American Physical Society Meeting, March 1987, New York); Proc. Materials Research Soc. Meeting, Anaheim, April 1987, p. 19;Phys. Rev. B 35, 8716 (1987); inNovel Superconductivity, S. A. Wolf and V. Z. Kresin, eds. (Plenum Press, New York, 1987), p. 309.

  8. V. Z. Kresin and H. Morawitz, inNovel Superconductivity, S. A. Wolf and V. Z. Kresin, eds. (Plenum Press, New York, 1987), p. 445;Phys. Rev. B (in press).

    Google Scholar 

  9. J. Ruvalds,Phys. Rev. B 35, 8869 (1987); J. Ihm and D. H. Lee, inNovel Superconductivity, S. A. Wolf and V. Z. Kresin, eds. (Plenum Press, New York, 1987), p. 451; J. Ashkenazi, C. Kuper, and R. Tyk,Solid State Commun. 63, 1144 (1987); A. Griffin,Phys. Rev. B 37, 5943 (1988).

    Google Scholar 

  10. W. A. Little,Phys. Rev. 134, A1416 (1964).

    Google Scholar 

  11. V. L. Ginzburg,Zh. Eksp. Teor. Fiz. 47, 2318 (1964).

    Google Scholar 

  12. D. W. Allender, J. M. Bray, and J. Bardeen,Phys. Rev. B 7, 1020 (1973).

    Google Scholar 

  13. I. Bozovic, D. Kirillov, A. Kapitulnik, K. Char, M. Hahn, M. R. Beasley, T. H. Geballe, Y. H. Kim, and A. J. Heeger,Phys. Rev. Lett. 59, 2219 (1987).

    Google Scholar 

  14. D. Vaknin, S. K. Sinha, D. E. Monston, D. C. Johnston, J. M. Newsam, C. R. Safinya, and H. E. King, Jr.,Phys. Rev. Lett. 58, 2802 (1987).

    Google Scholar 

  15. G. Shirane, Y. Endoh, R. J. Birgeneau, M. A. Kastner, Y. Hidaka, M. Oda, M. Suzuki, and T. Murakami,Phys. Rev. Lett. 59, 1613 (1987).

    Google Scholar 

  16. J. M. Tranquada, D. E. Cox, W. Kunnmann, H. Moudden, G. Shirane, M. Suenaga, P. Zolliker, D. Vaknin, S. K. Sinha, M. S. Alvarez, A. J. Jacobsen, and D. C. Johnston,Phys. Rev. Lett. 60, 156 (1988).

    Google Scholar 

  17. T. Brueckel, H. Capellmann, W. Just, O. Schaefer, S. Kemmler-Sack, R. Kiemel, and W. Schaefer,Europhys. Lett. 4, 1189 (1987).

    Google Scholar 

  18. B. D. Dunlap, M. Slaski, Z. Sungaila, G. D. Hinks, K. Zhang, C. Segre, S. K. Malik, and E. E. Alp,Phys. Rev. B 37, 592 (1988).

    Google Scholar 

  19. L. Gor'kov,Sov. Phys.—JETP 1, 505 (1958); A. Abrikosov, L. Gor'kov, and I. Dzyaloshinski,Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, New Jersey, 1963).

    Google Scholar 

  20. R Stern,Phys. Rev. Lett. 18, 546 (1967).

    Google Scholar 

  21. D. Pines,Elementary Excitations in Solids (Benjamin, New York, 1963)

    Google Scholar 

  22. D. Vashishta and K. Singwi,Phys. Rev. B 6, 875 (1972).

    Google Scholar 

  23. B. Geilikman,Sov. Phys.—Uspekhi 8, 2032 (1966); V. Z. Kresin and B. A. Tavger,Sov. Phys.—JETP 23, 1124 (1966);Phys. Lett. 20, 595 (1966).

    Google Scholar 

  24. T. K. M. Worthington, W. J. Gallagher, T. R. Dinger, and R. L. Sandstrom, inNovel Superconductivity, S. A. Wolf and V. Z. Kresin, eds. (Plenum Press, New York, 1987), p. 781.

    Google Scholar 

  25. V. Z. Kresin and S. A. Wolf,J. Supercond. 1, 143 (1988).

    Google Scholar 

  26. P. B. Visscher and L. M. Falicov,Phys. Rev. B 3, 2541 (1971); A. L. Fetter,Ann. Phys. (N.Y.) 88, 1 (1974); D. Grecu,Phys. Rev. B 8, 1958 (1973); S. Das Sarma and J. J. Quinn,Phys. Rev. B 25, 7603 (1982); A. C. Tselis and J. J. Quinn,Phys. Rev. B 29, 3318 (1984); J. K. Jain and P. B. Allen,Phys. Rev. Lett. 54, 2436 (1985); G. F. Giuliani and J. J. Quinn,Phys. Rev. Lett. 51, 919 (1983); P. Hawrylak, J.-W. Wu, and J. J. Quinn,Phys. Rev. B 32, 4272 (1985).

    Google Scholar 

  27. L. Landau and E. Lifshitz,Statistical Physics (Addison-Wesley, Reading, Massachusetts, 1976), p. 10.

    Google Scholar 

  28. J. D. Jorgensen, H. B. Schüttler, D. G. Hinks, D. W. Capone, II, K. Zhang, M. B. Brodsky, and D. J. Scalapino,Phys. Rev. Lett. 58, 1024 (1987).

    Google Scholar 

  29. D. A. Bonn. J. E. Greedan, C. V. Stager, T. Timusk, M. G. Doss, S. L. Herr, K. Kamaras, and D. B. Tanner,Phys. Rev. Lett. 58, 2249 (1987).

    Google Scholar 

  30. A. Jezowski, J. Mucha, K. Rogacki, R. Horyn, Z. Bukowski, M. Horobiowski, J. Rafalowicz, J. Stepien-Damm, S. Sulkowski, E. Trojnar, A. Zaleski, and A. Klamut,Phys. Rev. Lett. A 122, 431 (1987); D. Morelli, J. Heremans, and D. Swets,Phys. Rev. B 36, 3917 (1987); C. Uher, A. Kaiser, E. Gmelin, and L. Waltz,Phys. Rev. B 36, 5676, 5680 (1987).

    Google Scholar 

  31. Y. Kim, A. Heeger, L. Acedo, G. Stucky, and F. Wudl,Phys. Rev. B 36 (1987).

  32. M. L. Cohen, D. E. Morris, A. Stacy, and A. Zettl, inNovel Superconductivity, S. A. Wolf and V. Z. Kresin, eds. (Plenum Press, New York, 1987), p. 733; B. Batlogg, R. J. Cava, C. H. Chen, G. Kourouklis, W. Weber, A. Jayaraman, A. E. White, K. T. Short, E. A Rietman, L. W. Rupp, D. Werder, and S. W. Zahurak, inNovel Superconductivity, S. A. Wolf and V. Z. Kresin, eds. (Plenum Press, New York, 1987), p. 653.

    Google Scholar 

  33. K. J. Sun, M. Levy, B. K. Sarma, P. H. Hor, R. L. Meng, Y. Q. Wang, and C. W. Chu, preprint.

  34. B. Geilikman and V. Z. Kresin,Non-steady and Kinetic Effects in Superconductors (Wiley, New York, 1974).

    Google Scholar 

  35. W. McMillan,Phys. Rev. 167, 331 (1968).

    Google Scholar 

  36. B. T. Geilikman,Sov. Phys.-Solid State 18, 54 (1976).

    Google Scholar 

  37. A. A. Maraduddin, E. W. Montroll, and G. H. Weiss,Theory of Lattice Dynamics in the Harmonic Approximation, Suppl. 3 toSolid State Physics (Academic Press, New York, 1963).

    Google Scholar 

  38. D. J. Bishop, P. L. Gammel, A. P. Ramirez, B. Batlogg, R. J. Cava, and A. J. Millis, inNovel Superconductivity, S. A. Wolf and V. Z. Kresin, eds. (Plenum Press, New York, 1987), p. 659.

    Google Scholar 

  39. V. Z. Kresin,Int. J. Mod. Phys. B 1, 945 (1987).

    Google Scholar 

  40. V. Z. Kresin,Phys. Lett. A 122, 434 (1987).

    Google Scholar 

  41. A. Masakiet al, Jpn. J. Appl. Phys. 20, L405 (1987); A. P. Ramirez, B. Batlogg, G. Aeppli, R. J. Cava, E. Reitman, A. Goldman, and G. Shirane,Phys. Rev. B 35, 8883 (1987).

    Google Scholar 

  42. E. L. Wolf,Principles of Electron Tunneling Spectroscopy (Oxford University Press, New York, 1985).

    Google Scholar 

  43. A. Overhauser,Phys. Rev. B 3, 1888 (1971); B. Lundquist,Phys. Kond. Mater. 6, 206 (1967).

    Google Scholar 

  44. N. E. Phillips, R. A. Fisher, J. E. Lacy, C. Marcennt, J. A. Olsen, W. K. Ham, and A. M. Stacy, inNovel Superconductivity, S. A. Wolf and V. Z. Kresin, eds. (Plenum Press, New York, 1987), p. 739.

    Google Scholar 

  45. P. Sulewskiet al., Phys. Rev. B 36, 5735 (1987).

    Google Scholar 

  46. O. Entin-Wohlman and H. Gutfreund,J. Phys. C 17, 1071 (1984); H. Gutfreund, inNovel Superconductivity, S. A. Wolf and V. Z. Kresin, eds. (Plenum Press, New York, 1987), p. 465.

    Google Scholar 

  47. M. Rietschel and L. Sham,Phys. Rev. B 28, 5100 (1983); M. Grabowski and L. Sham,Phys. Rev. B 29, 6132 (1984).

    Google Scholar 

  48. H. Morawitz and G. Siegl,Phys. Rev. B 30, 6180 (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kresin, V.Z., Morawitz, H. Plasmons and phonons in anisotropic systems and their effect on high-Tc superconductivity. J Supercond 1, 89–110 (1988). https://doi.org/10.1007/BF00617954

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00617954

Key words

Navigation