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Estimation of the Surface-d to Bulk-s Crossover in the Macroscopic Superconducting Wavefunction in Cuprates

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Abstract

The concept of a surface d- and bulk s-symmetry in cuprate superconductors is applied to recent small-angle neutron-scattering results. These show a change of hexagonal to square vortex lattice as a function of the magnetic field along the c-axis. Identifying the hexagonal lattice with s- and the square with d-symmetry, the crossover distance from the surface d to the bulk s perpendicular to the c-axis is estimated to be 35 nm for LSCO and roughly 7 nm for YBCO, both at optimum doping. The crossover along the c-axis has to be of only a few layers distance to reconcile tunneling, photoemission, and pulsed femtosecond reflectivity experiments. These estimates are compatible with μ-rotation, NMR, and other experiments.

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REFERENCES

  1. C. C. Tsuei and J. R. Kirtley, Rev. Mod. Phys. 72 969 (2000).

    Google Scholar 

  2. K. A. Müller, Philos. Mag. Lett. 82 270 (2002).

    Google Scholar 

  3. J. F. Annett, N. D. Goldenfeld, and A. J. Legett, in Physical Properties of High-Temperature Superconductors V, D. M. Ginsberg ed. (World Scientific, Singapore, 1996), p. 571.

    Google Scholar 

  4. F. Iachello, Philos. Mag. Lett. 82 289 (2002).

    Google Scholar 

  5. R. Gilardi et al., Phys. Rev. Lett. 88 217003 (2002).

    PubMed  Google Scholar 

  6. M. Yatheraj et al., Phys. Rev. Lett. 70 857 (1993).

    PubMed  Google Scholar 

  7. R. Gilardi and J. Mesot, Swiss Neutron News 21 9 (2002).

    Google Scholar 

  8. A. J. Berlinsky et al., Phys. Rev. Lett. 75 2200 (1995).

    PubMed  Google Scholar 

  9. Ji-Hai Xu, Yong Ren, and Ting Chin-Sen, Phys. Rev. B 53 R2991 (1996).

    Google Scholar 

  10. J. Shiraishi, M. Kohmoto, and K. Maki, Phys. Rev. B 59 8902 (1999).

    Google Scholar 

  11. M. Ichioka, A. Hasegawa, and K. Machida, Phys. Rev. B 59 8902 (1999).

    Google Scholar 

  12. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1975), p. 141.

    Google Scholar 

  13. P. L. Gammel et al., Phys. Rev. Lett. 59 2592 (1987).

    PubMed  Google Scholar 

  14. D. Scalapino, Phys. Rep. 250 329 (1995).

    Google Scholar 

  15. K. A. Müller, in Proceedings of the Conference Trieste (WSPC, Trieste, Italy, 2002). K. A. Müller, in Intrinsic Multiscale Structure and Dynamics in Complex Electronic Oxides, A. R. Bishop, S. R. Shenoy, and S. Sridhar, eds. (World Scientific, Singapore, 2003) P.d.

    Google Scholar 

  16. H. Keller et al., Physica C 185–189 1089 (1991).

    Google Scholar 

  17. D. R. Harshman et al., Phys. Rev. B 39 851 (1989).

    Google Scholar 

  18. B. Pümpin et al., Phys. Rev. B 42 8019 (1990).

    Google Scholar 

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

    Google Scholar 

  20. J. E. Sonier et al., Science 292 1691 (2001).

    Google Scholar 

  21. D. R. Harshman et al., preprint April 4, 2003.

  22. V. Kabanov et al., Phys. Rev. B 59 1497 (1999).

    Google Scholar 

  23. G. P. Segre et al., Phys. Rev. Lett. 88 137001–137011 (2002).

    PubMed  Google Scholar 

  24. Z. X. Shen et al., Science 267 5196 (1995).

    Google Scholar 

  25. J. Mesot et al., Phys. Rev. Lett. 83 840 (1999).

    Google Scholar 

  26. Bhattacharya et al., Phys. Rev. Lett. 82 3132 (1999), 83, 887 (1999).

    Google Scholar 

  27. T. Schneider, Submitted to Europhys. Lett. 2003, condmat/0302024. J. Supercond. 17 41(2004).

    Google Scholar 

  28. D. Mihailovic and K. A. Müller, in High-T c Superconductivity. Ten Years After the Discovery (NATO ASI Series E. Applied Sciences, Vol. 343) E. Kaldis, E. Liarokarpis, and K. A. Müller, eds. (Kluwer, Dordredt, The Netherlands, 1997), p. 243.

    Google Scholar 

  29. K. A. Müller, Guo-Meng Zhao, K. Conder, and H. Keller, J. Cond. Mater 10 L291 (1998).

    Google Scholar 

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Müller, K.A. Estimation of the Surface-d to Bulk-s Crossover in the Macroscopic Superconducting Wavefunction in Cuprates. Journal of Superconductivity 17, 3–6 (2004). https://doi.org/10.1023/B:JOSC.0000011831.52509.11

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  • DOI: https://doi.org/10.1023/B:JOSC.0000011831.52509.11

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