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Tunneling in High Tc Superconducting Cuprates

  • Chapter
The Gap Symmetry and Fluctuations in High-Tc Superconductors

Part of the book series: NATO Science Series: B: ((NSSB,volume 371))

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Conclusion

Tunneling spectroscopy together with Josephson experiments give an interesting insight within the physics of High Temperature Superconductors. An incomplete gap is observed in the QP excitation spectrum, as if they were either states in the gap or nodes in some regions of the FS, like in an anisotropic superconductor. A zero bias conductance peak seen in the in-plane tunneling geometry, which can be explained as a surface induced Andreev bound state in a “\( d_{x^2 - y^2 } \) ” superconductor. The Josephson coupling between conventional superconductors and HTSC materials is also compatible with this symmetry for the order parameter, provided the orthorhombicity is taken into account (small s component in YBCO).

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References

  1. Giaever, I., Phys. Rev. Lett., 5, 147 (1960).

    ADS  Google Scholar 

  2. Giaever, I., Phys. Rev. Lett., 5, 464 (1960).

    ADS  Google Scholar 

  3. Anderson, P.W. & J.M. Rowell, Phys. Rev. Let., 10, 230 (1963).

    ADS  Google Scholar 

  4. T. Hasegawa, H. Ikuta, K. Kitazawa, revue, in Properties of High Temperature Superconductors, D. M. Ginsberg Editor. (1992), World Scientific: Singapore.

    Google Scholar 

  5. J. R. Kirtley, Int. Jour. Mod. Physics B, 4, 201 (1990).

    ADS  Google Scholar 

  6. M. H. Cohen, L. M. Falicov, J. C. Phillips, Phys. Rev. Lett. 8, 316 (1962)

    Article  ADS  MATH  Google Scholar 

  7. Ambegaokar, V. & A. Baratoff, Phys. Rev. Lett., 10, 486 (1963) & 11, 104 (1963).

    Article  ADS  Google Scholar 

  8. J. Nicol, S. Shapiro, P. H. Smith, Phys. Rev. Lett. 5, 461 (1960).

    Article  ADS  Google Scholar 

  9. B. L. Blackford, R. H. March Phys. Rev. 186, 397 (1969).

    Article  ADS  Google Scholar 

  10. G. I. Lykken, A. L. Geiger, K. S. Dy, E. N. Mitchell Phys. Rev. B 4, 1523 (1971).

    Article  ADS  Google Scholar 

  11. J. P. Carbotte in Anisotropy effects in Superconductors, H. W. Weber Editor. (1977) Plenum: New York p 183.

    Google Scholar 

  12. N. V. Zavaritskii Zh exp. theor. fiz 45, 1839 (1964) & JETP 18, 1260.

    Google Scholar 

  13. N. V. Zavaritskii Zh exp. theor. fiz 48, 837 (1965) & JETP 21, 557.

    Google Scholar 

  14. B. L. Blackford, K. Hill J. Low Temp. Phys. 43, 25 (1981).

    Article  ADS  Google Scholar 

  15. E. Guyon, A. Martinet, J. Matricon, P. Pinkus, Phys. Rev 138, A746 (1965).

    Article  ADS  Google Scholar 

  16. Gennes, P. G. de, Rev. Mod. Phys., 36, 225 (1964)

    ADS  Google Scholar 

  17. W.L. McMillan, & J. M. Rowell, Tunneling and Strong-Coupling, in Superconductivity, R. D. Parks Editor. (1969), Marcel Dekker: New York. p. 561

    Google Scholar 

  18. Josephson, B. D., Physics Letters, 1, 251 (1962).

    Article  ADS  MATH  Google Scholar 

  19. Rowell, J. M., Phys. Rev. Lett., 11, 200 (1963)

    Article  ADS  Google Scholar 

  20. Owen, C. S. & D. J. Scalapino, Phys. Rev., 164, 538 (1967).

    Article  ADS  Google Scholar 

  21. Balsamo, E. P., et al., Phys. Status Solidi (a), 35, 173 (1976).

    ADS  Google Scholar 

  22. Shapiro, S., Phys. Rev. Lett., 11, 80 (1963).

    Article  ADS  Google Scholar 

  23. Shapiro, S., A.R. Janus & S. Holly, Rev. Mod. Phys., 36, 223 (1964).

    Article  ADS  Google Scholar 

  24. Werthamer, N. R., Phys. Rev., 147, 255 (1966).

    ADS  Google Scholar 

  25. Larkin, A. I. & Yu. N. Ovchinnikov, Zh. Eksp. Teor. Fiz., 51, 1535 (1966).

    Google Scholar 

  26. Fiske, M. D., Rev. Mod. Phys., 36, 221 (1964).

    Article  ADS  Google Scholar 

  27. Ambegaokar, V. & A. Baratoff, Phys. Rev. Lett., 11, 104 (1963).

    Article  ADS  Google Scholar 

  28. C. P. Poole Jr., T. Datta, H. A. Farach, Copper Oxides Superconductors. (1988), New-York: Wiley.

    Google Scholar 

  29. J. Labbé, J. Bok, Europhys. Lett., 3, (1987).

    Google Scholar 

  30. J. Bouvier, J. Bok, Physica C, 249, 117 (1995).

    Article  ADS  Google Scholar 

  31. D. J. Van Harlingen, Rev. of Mod. Phys., 67, 515 (1995).

    ADS  Google Scholar 

  32. Y. Kitaoka et al, J. Phys. Chem. Solids, 54, 1385 (1993).

    ADS  Google Scholar 

  33. A. T. Fiory, S. Martin, R. M. Flemming, L. F. Schneemeyer, J. V. Waszczak, A. F. Hebard, S. A. Sunshine, Physica C, 162–164, 1195 (1989).

    Google Scholar 

  34. N. Bontemps, D. Davidov, P. Monod, R. Even, Phys. Rev. B, 43, 11512 (1991).

    Article  ADS  Google Scholar 

  35. J. Lesueur, Greene L.H., Feldmann W.L. & Inam A., Physica C, 191, 325 (1992).

    Article  ADS  Google Scholar 

  36. N.E. Bickers, D. J. Scalapino & S. R. White, Physical Review Letters, 62, 961 (1989).

    Article  ADS  Google Scholar 

  37. P. Monthoux, A. Balatsky & D. Pines, Physical Review B, 46, 14803 (1992).

    Article  ADS  Google Scholar 

  38. V. J Emery, S. A. Kivelson, Phys. Rev. Lett., 74, 3253 (1995).

    Article  ADS  Google Scholar 

  39. P. W. Anderson, J. Phys. Chem. Solids, 11, 26 (1959).

    MATH  ADS  Google Scholar 

  40. Chia-Ren Hu, Physical Rev iew Letters, 72, 1526 (1994).

    ADS  Google Scholar 

  41. Y. Tanaka, S. Kashiwaya, Phys. Rev. Lett., 74, 3451 (1995).

    ADS  Google Scholar 

  42. S. Kashiwaya, Y. Tanaka, M. Koyanagi, K. Kajimura, Phys. Rev. B, 53, 2667 (1996).

    Article  ADS  Google Scholar 

  43. Y. Tanaka, Theory of Tunneling Effect and Proximity Effect in high Tc Superconductors, in Coherence in High Temperature Superconductors, Alex Revcolevschi Guy Deutscher Editor. (1995), World Scientific, Singapore: Tel Aviv. p. 393

    Google Scholar 

  44. A. F. Andreev, Sov. Phys. JETP, 19, 1228 (1964).

    Google Scholar 

  45. J. M. Rowell, Phys. Rev. Lett., 30, 167 (1973).

    Article  ADS  Google Scholar 

  46. G. Deutscher, Aspects of coherence in High Temperature Superconductors, in Coherence in High Temperature Superconductors, G. Deutscher and A. Revcolevschi Editor. (1995), World Scientific: Singapore, p. 3

    Google Scholar 

  47. M. Palumbo, L.J. Buchholtz, D. Rainer and J.A. Sauls, preprint, (1996).

    Google Scholar 

  48. M. Folgelström, D. Rainer, J. A. Sauls, Phys, Rev. Lett., 79, 281 (1997).

    ADS  Google Scholar 

  49. K. Maki, M. T. Béal-Monod, Phys. Lett. A, 208, 365 (1995).

    Article  ADS  Google Scholar 

  50. M. T. Béal-Monod, K. Maki, Phys. Rev. B, 53, 5775 (1996).

    Article  ADS  Google Scholar 

  51. J. F. Annett, N. Goldenfeld, A. Leggett, Experimental Constraints on the Pairing State of the Cuprates superconductors: an emerging consensus., in Physical Properties of High Temperature Superconductors V, D. M. Ginsberg Editor. (1995), World Scientific: Singapore-New Jerseu-London-Hong Kong. p. 375

    Google Scholar 

  52. H. Won, and K. Maki, Physical Review B, 49, 1397 (1994).

    ADS  Google Scholar 

  53. C.C. Tsuei, J.R. Kirtley, C.C. Chi, L.S. Yu-Jahnes, A. Gupta, T. Shaw, J.Z. Sun & M.B. Ketchen, Physical Review Letters, 73, 593 (1994).

    Article  ADS  Google Scholar 

  54. C.C. Tsuei, J.R. Kirtley, Z.F. Ren, J.H. Wang, Letters to Nature, 387, 481 (1997).

    ADS  Google Scholar 

  55. P. Chaudari, & Shawn-Yu Lin, Physical Review Letters, 72, 1084 (1994).

    ADS  Google Scholar 

  56. J.H. Miller, Jr., Q.Y. Ying, Z.G. Zou, N.Q. Fan, J.H. Xu, M.F. Davis, and J.C. Wolfe, Physical Review Letters, 74, 2347 (1995).

    Article  ADS  Google Scholar 

  57. M. Sigrist, & T. M. Rice, Journal of the Physical Society of Japan, 61, 4283 (1992).

    ADS  Google Scholar 

  58. D.A. Wollman, D.J. Van Harlingen, W. C. Lee, D. M. Ginsberg & A. J. Leggett, Physical Review Letters, 71, 2134 (1993).

    Article  ADS  Google Scholar 

  59. D.A. Wollman, D.J. Van Harlingen, J. Giapintzakis and D. M. Ginsberg, Physical Review Letters, 74, 797 (1995).

    Article  ADS  Google Scholar 

  60. D.A. Brawner, and H.R. Ott, Physical Review B, 50, 6530 (1994).

    Article  ADS  Google Scholar 

  61. A. Mathai, Y. Gim, R.C. Black, A. Amar, and F.C. Wellstood, Physical Review Letters, 74, 4523 (1995).

    Article  ADS  Google Scholar 

  62. A.G. Sun, L.M. Paulius, D.A. Gajewski, MB. Maple & R.C. Dynes, Physical Review B, 50, 3266 (1994).

    ADS  Google Scholar 

  63. A.G. Sun, D.A. Gajewski, B.M. Maple & R.C. Dynes, Physical Review Letters, 72, 2267 (1994).

    ADS  Google Scholar 

  64. A.G. Sun, S.H. Han, A.S. Katz, D.A. Gajeweski, M.B. Maple and R.C. Dynes, Physical Review B, 52, (1995).

    Google Scholar 

  65. A.S. Katz, A.G. Sun, and R.C. Dynes, K. Char, Appl Phys Lett, 66, 105 (1995).

    Article  ADS  Google Scholar 

  66. I. Iguchi, Z. Wen, Physical Review B, 49, 12388 (1994).

    ADS  Google Scholar 

  67. J. Lesueur, M. Aprili, A. Goulon, T. J. Horton & L. Dumoulin, Physical Review B, 55, R3398 (1997).

    Article  ADS  Google Scholar 

  68. F. X. Régi, J. Schneck, B. Leridon, M. Drouet, F. R. Ladan. Series array of intrinsic Josephson junctions in mesas patterned on BSCCO single crystals. in EUCAS. (1995). Edimbourg

    Google Scholar 

  69. R. Kleiner, P. Müller, Phys. Rev. B, 49, 1334 (1994).

    Article  ADS  Google Scholar 

  70. R. Kleiner, F. Steinmeyer, G. Kunkel, P. Müller, Phys. Rev. Lett., 68, 2394 (1992).

    Article  ADS  Google Scholar 

  71. J. Bok, J. Bouvier. Gap anisotropy and Van-Hove singularities in high Tc superconductors, in Spectroscopic Studies of Superconductors. (1996). San José (CA): SPEE. vol 2696, p 122

    Google Scholar 

  72. C.M. Varma, P.B. Littlewood and S. Schmitt-Rink, E. Abrahams and A.E. Ruckenstein, Physical Review Letters, 63, 1996 (1989).

    Article  ADS  Google Scholar 

  73. M. Tachiki, S. Takahashi, F. Steglich, H. Adrian, Z. Phys. B, 80, 161 (1990).

    Article  ADS  Google Scholar 

  74. P. B. Littlewood, C. M. Varma, Phys. Rev. B, 45, 12636 (1992).

    Article  ADS  Google Scholar 

  75. J.R. Kirtley, and D.J. Scalapino, Physical Review Letters, 65, 798 (1990).

    Article  ADS  Google Scholar 

  76. J.R. Kirtley, S. Washburn and D.J. Scalapino, Physical Review B, 45, 336 (1992).

    Article  ADS  Google Scholar 

  77. P. W. Anderson, Z. Zou, Phys. Rev. Lett., 60, 132 (1988).

    ADS  Google Scholar 

  78. Th. Becherer, M. Kunz, C. Stölzel, and H. Adrian, Proc MS-HTSC IV, (1994).

    Google Scholar 

  79. Th. Becherer, C. Stözel, G. Adrian and H. Adrian, Physical Review B, 47, 14 650 (1993).

    Article  Google Scholar 

  80. Kawabasa, Phys. Rev. Lett., (1993).

    Google Scholar 

  81. E. Polturak, G. Koren, D. Cohen, E. Aharoni, G. Deutscher, Phys. Rev. Lett., 67, 3038 (1991).

    Article  ADS  Google Scholar 

  82. G.A. Alvarez, T. Utagawa and Y. Enomoto, Appl Phys Lett, 69, 2743 (1996).

    Article  ADS  Google Scholar 

  83. A.M. Cucolo, R. Di Leo, A. Nigro, P. Romano, and F. Bobba, E. Bacca and P. Prieto, Physical Review Letters, 76, 1920 (1996).

    Article  ADS  Google Scholar 

  84. J. Geerk, X. X. Xi, G. Linker, Z. Phys. B, 73, 329 (1988).

    Article  ADS  Google Scholar 

  85. H. J. Tao, A. Chang, F. Lu, E. L. Wolf, Phys. Rev. B, 45, 10622 (1992).

    ADS  Google Scholar 

  86. M. Lee, M. Naito, A. Kapitulnik, M. Beasley, Solid State Com., 70, 449 (1989).

    ADS  Google Scholar 

  87. M. Gurvitch, J. M. Valles, A. M. Cucolo, R. C. Dynes, J. P. Garno, L. F. Schneemeyer & J. V. Waszczak, Physical Review Letters, 63, 1008 (1989).

    Article  ADS  Google Scholar 

  88. C. Renner, O. Fischer, Phys. Rev. B, 51, 9208 (1995).

    Article  ADS  Google Scholar 

  89. E. W. Wolf, H. J. Tao, B. Susla, Solid State Com., 77, 519 (1991).

    ADS  Google Scholar 

  90. R. C. Dynes, V. Narayanamurti, J. P. Garno, Phys. Rev. Lett., 41, 1509 (1978).

    Article  ADS  Google Scholar 

  91. A. M. Cucolo, J. M. Valles, R. C. Dynes, M. Gurvitch, J. M. Phillips, J. P. Garno, Physica C, 161, 351 (1989).

    Article  ADS  Google Scholar 

  92. M. Covington, and L.H. Greene. Tunneling investigation of the gap-like feature in superconducting YPBCO thinfilms, in SPIE-Spectroscopic Studies of Superconductors. (1996). San Jose, CA, USA: vol 2696, p 8.

    Google Scholar 

  93. D. Racah, G. Deutscher, Physica C, 263, 218 (1996).

    Article  ADS  Google Scholar 

  94. V. Z. Kresin, S. A. Wolf, Physica C, 169, 476 (1990).

    Article  ADS  Google Scholar 

  95. G. Deutscher, V. Z. Kresin, S. A. Wolf, Bull. APS, 36, 375 (1991).

    Google Scholar 

  96. M. Tachiki, S. Takahashi, Physica B, 169, 121 (1991).

    Article  ADS  Google Scholar 

  97. S. Kashiwaya, Y. Tanaka, M. Koyanagi, H. Takashima, K. Kajimura, Phys. Rev. B, 51, 2155 (1995).

    Article  Google Scholar 

  98. D. Mandrus, L. Forro, D. Koller, L. Mihaly, Nature, 351, 460 (1991).

    Article  ADS  Google Scholar 

  99. A. G. Sun, A. Truscott, A. S. Katz, R. C. Dynes, B. M. Veal, C. Gu, Phys. Rev. B, 54, 6734 (1996).

    ADS  Google Scholar 

  100. M. Covington, M. Aprili, E. Paraoanu, and L.H. Greene, F. Xu, J. Zhu and C.A. Mirkin, Physical Review Letters, 79, 277 (1997).

    ADS  Google Scholar 

  101. J.S. Tsai, I. Takeuchi, J. Fujita, S. Miura, T. Terashima, Y. Bando, K. lijima and K. Yamamoto, Physica C, 157, 537 (1989).

    Article  ADS  Google Scholar 

  102. J.S. Tsai, I. Takeuchi, J. Fujita, T. Yoshitake, S. Miura, S. Tanaka, T. Terashima, Y. Bando, K. lijima and K. Yamamoto, Physica C, 1385 (1988).

    Google Scholar 

  103. P. W. Anderson, Phys. Rev. Lett., 17, 95 (1966).

    ADS  Google Scholar 

  104. J. A. Applebaum, Phys. Rev. Lett., 17, 91 (1966).

    ADS  Google Scholar 

  105. L. Y. L. Shen, J. M. Rowell, Phys. Rev, 165, 566 (1968).

    Article  ADS  Google Scholar 

  106. J. Yang, C. R. Hu, Phys. Rev. B, 50, 16766 (1994).

    ADS  Google Scholar 

  107. L. J. Buchholtz, M. Palumbo, D. Rainer, J. A. Sauls, J. Low Temp. Phys., 101, 1099 (1995).

    ADS  Google Scholar 

  108. L. Alff, H. Takashima, S. Kashiwaya, N. Terada, and H. Ihara, Y. Tanaka, M. Koyanagi and K. Kajimura, Physical Review B, 55, R14 757 (1997).

    Article  ADS  Google Scholar 

  109. M. Aprili, M. Covington, E. Paraoanu, B. Niedermeier and L.H. Greene, preprint, (1997).

    Google Scholar 

  110. S. K. Tolpygo et al, Phys. Rev. B, 53, 12454 (1996).

    ADS  Google Scholar 

  111. N. Miyakawa, Y. Shiina, T. Kaneko and N. Tsuda, Journal of the Physical Society of Japan, 62, 2445 (1993).

    ADS  Google Scholar 

  112. M. Ohuchi, D. Shimada and N. Tsuda, Jpn J Appl Phys, 32 (Part 2, N o 2B), L 251 (1993).

    ADS  Google Scholar 

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

    Google Scholar 

  114. A.M. Cucolo, R. Di Leo, A. Nigro, P. Romano and M. Carotenuto, Physical Review B, 49, 1308 (1994).

    Article  ADS  Google Scholar 

  115. Y. Dagan, A. Kohen, G. Deutscher, C. M. Varma, preprint, (1997).

    Google Scholar 

  116. J. Kwo, T.A. Fulton, M. Hong, and P.L. Gammel, Appl Phys Lett, 56, 788 (1990).

    Article  ADS  Google Scholar 

  117. J. Lesueur, Aprili M., Horton T.J., Lalu F., Guilloux-Viry M., Perrin M. & Dumoulin L., Alloys and Compounds, 251, 1 (1997).

    Google Scholar 

  118. X. Orison, J. Lesueur, M. Aprili, A. Goulon, to be published

    Google Scholar 

  119. J.H. Xu, J.L. Shen, J.H. Miller, Jr. & C.S. Ting, Physical Review Letters, 73, 2492 (1994).

    ADS  Google Scholar 

  120. D. N. Basov, R. Liang, D. A. Bonn, W. N. Hardy, B. Dabrowski, M. Quijada, D. B. Tanner, J. P. Rice, D. M. Ginsberg, T. Timusk, Phys. Rev. Lett., 74, 598 (1995).

    Article  ADS  Google Scholar 

  121. M.B. Walker, & J. Luettmer-Strathmann. Macroscopic Symmetry Group Describes Josephson Tunneling in Twinned Crystals, in MOS 96. (1996). Karlsruhe

    Google Scholar 

  122. MB. Walker, & J. Luettmer-Strathmann, Physical Review B, 54, 588 (1996).

    ADS  Google Scholar 

  123. M.B. Walker, Physical Review B, 53, 5835 (1996).

    Article  ADS  Google Scholar 

  124. A. G. Sun. Tunneling Studies of the High Temperature Superconductor YBCO. (1996). University of California.

    Google Scholar 

  125. C. O’Donovan, M.D. Lumsden, B.D. Gaulin and J.P. Carbotte, Physical Review B, 55, 9088 (1997).

    ADS  Google Scholar 

  126. M. Ledvij, & R. A. Klemm, Physical Review B, 52, 12552 (1995).

    Article  ADS  Google Scholar 

  127. M. Zapotocky, D. L. Maslov and P.M. Goldbart, Physical Review B, 55, 6599 (1997).

    Article  ADS  Google Scholar 

  128. K. A. Kouznetsov, A. G. Sun, B. Chen, A. S. Katz, S. R. Bahcall, J. Clarke, R. C. Dynes, D. A. Gajewski, S. H. Han, M. B. Mapple, J. Giapintzakis, J. T. Kim, D. M. Ginsberg, Phys. Rev. Lett., 79, 16 (1997).

    Article  Google Scholar 

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  1. C.S.N.S.M. CNRS-IN2P3, Bât 108, 91405, Orsay, France

    J. Lesueur, M. Aprili & X. Grison

  2. E.S.P.C.I., 10 rue Vauquelin, 75005, Paris, France

    B. Leridon

  3. UMR Thomson CSF-CNRS, Domaine de Corbeville, 91401, Orsay, France

    B. Leridon

  4. U.I.U.C. Dpt of Physics, 1110 W. Green St, Urbana, IL, 61801, USA

    M. Aprili

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  1. Ecole Supérieure de Physique et Chimie Industrielles de Paris, Paris, France

    Julien Bok

  2. University of Tel Aviv, Ramat Aviv, Israel

    Guy Deutscher

  3. Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland

    Davor Pavuna

  4. Naval Research Laboratory, Washington, D.C., USA

    Stuart A. Wolf

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Lesueur, J., Leridon, B., Aprili, M., Grison, X. (2002). Tunneling in High Tc Superconducting Cuprates. In: Bok, J., Deutscher, G., Pavuna, D., Wolf, S.A. (eds) The Gap Symmetry and Fluctuations in High-Tc Superconductors. NATO Science Series: B:, vol 371. Springer, Boston, MA. https://doi.org/10.1007/0-306-47081-0_28

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