Skip to main content
Log in

Quasiparticles in the Mixed Phase of Superconducting Cuprates: A Semiclassical Green's Function Approach

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

We consider \(\left( {d_{x^2 - y^2 } } \right)\) superconducting state quasiparticles coupled to vortices. Since the perturbation due to the latter varies slowly with distance outside the vortex core, a semiclassical approximation for the quasiparticle Green's function suffices. This is used to discuss several questions of interest, viz. choices of gauge, the quasiparticle density of states in presence of vortices, and finally longitudinal as well as Hall magneto thermal conductivity.

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. P. W. Anderson, The Theory of Superconductivity in the High-T c Cuprates (Princeton University Press, Princeton, 1997).

    Google Scholar 

  2. L. P. Gor'kov and J. R. Schrieffer, Phys. Rev. Lett. 80:3360 (1998); P. W. Anderson, condmat/9812063; A. S. Mel'nikov, J. Phys. Condens. Matter 11:4219 (1999); N. P. Kopnin and V. M. Vinokur, cond-mat/0002337.

    Google Scholar 

  3. G. E. Volovik, JETP Letters 64:690 (1996).

    Google Scholar 

  4. S. S. Mandal and T. V. Ramakrishnan (to be published).

  5. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962), Chap. VI.

    Google Scholar 

  6. A. G. Aronov, Yu. M. Gal'perin, V. L. Gurevich, and V. L. Kozub, Adv. in Phys. 30:539 (1981).

    Google Scholar 

  7. S. S. Mandal and T. V. Ramakrishnan (to be published).

  8. H. Ding et al., Phys. Rev. B 54:89678 (1996).

    Google Scholar 

  9. H. Ding et al., Phys. Rev. Lett. 74:2784 (1995).

    Google Scholar 

  10. K. A. Moler et al., Phys. Rev. Lett. 73:2744 (1994); B. Revaz et al., Phys. Rev. Lett. 80:3364 (1998); D. A. Wright et al., Phys. Rev. Lett. 82:1550 (1999); Y. Wang et al., cond-mat/ 0009194.

    Google Scholar 

  11. J. Bardeen, G. Rickayzen, and L. Tewordt, Phys. Rev. 113:1982 (1959).

    Google Scholar 

  12. P. G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1968).

    Google Scholar 

  13. F. Gygi and M. Schluter, Phys. Rev. B 43:7609, (1991).

    Google Scholar 

  14. M. Franz and Z. Tesanovic, Phys. Rev. Lett. 84:554 (2000).

    Google Scholar 

  15. L. Marinelli, B. I. Halperin, and S. H. Simon, cond-mat/0001406.

  16. R. Mallozzi, J. Orenstein, J. N. Eckstein, and I. Bozovic, Phys. Rev. Lett. 81:1485 (1998).

    Google Scholar 

  17. J. E. Sonier et al., Phys. Rev. Lett. 83:4156 (1999).

    Google Scholar 

  18. I. Maggio-Aprile et al., Phys. Rev. Lett. 75:2754 (1995).

    Google Scholar 

  19. S. H. Pan et al., Phys. Rev. Lett. 85:1536 (2000).

    Google Scholar 

  20. T. Nagaoka et al., Phys. Rev. Lett. 80:3594, (1998).

    Google Scholar 

  21. N. P. Ong, K. Krishana, Y. Zhang, and Z. A. Xu, in Physics and Chemistry of Transition Metal Oxides, H. Fukuyama and N. Nagaosa, eds. (Springer-Verlag, Berlin, 1999), p. 202.

    Google Scholar 

  22. K. Krishana et al., Science 277:83 (1997).

    Google Scholar 

  23. R. B. Laughlin, Phys. Rev. Lett. 80:4963 (1998).

    Google Scholar 

  24. T. V. Ramakrishnan, J. Phys. Chem. of Solids 59:1750 (1998).

    Google Scholar 

  25. K. Krishana, J. M. Harris, and N. P. Ong, Phys. Rev. Lett. 75:3529 (1995); K. Krishana et al., Phys. Rev. Lett. 82:2175 (1999); Y. Zhang et al., to be published.

    Google Scholar 

  26. J. C. Ryan and A. K. Rajagopal. Phys. Rev. B 47:8843 (1993).

    Google Scholar 

  27. A.-M. Tremblay, B. R. Patton, and P. C. Martin, Ann. Phys. 124:401 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ramakrishnan, T.V., Rajagopal, A.K. Quasiparticles in the Mixed Phase of Superconducting Cuprates: A Semiclassical Green's Function Approach. Journal of Statistical Physics 103, 441–457 (2001). https://doi.org/10.1023/A:1010329013424

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1010329013424

Navigation