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What does NMR tell us about the electronic state of high-T c superconductors?

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Abstract

An introduction to the models which are usually applied, when interpreting the NMR (nuclear magnetic resonance) parameter Knight shift (K s) and spin-lattice relaxation rate 1/T 1 in the normal and the superconducting state of high-temperature superconductors, is given. The different hyperfine interaction parameters involved, as well as the static and dynamic susceptibility χ(q,ω) will be discussed. I will point at those highlights as antiferromagnetic correlations, spin gap and vortex lattice dynamics which have emerged from the analysis of the NMR data.

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References

  1. Bednorz, J.G., Müller, K.A.: Z. f. PhysikB64, 189, (1986)

    Article  ADS  Google Scholar 

  2. Abragam A.: The Principles of Nuclear Magnetism. Oxford: Clarendon Press 1961.

    Google Scholar 

  3. Slichter C.P.: Principles of Magnetic Resonance, 3rd ed. Berlin: Springer 1989.

    Google Scholar 

  4. Hebel L.C., Slichter C.P.: Phys. Rev.107, 901 (1957); and Phys. Rev.113, 1504 (1959)

    Article  ADS  Google Scholar 

  5. Winter J.: Magnetic Resonance in Metals. Oxford: Clarendon, Press 1971.

    Google Scholar 

  6. MacLaughlin D.E.: in Solid State Physics, vol. 31. New York: Academic Press, Inc. 1976.

    Google Scholar 

  7. Pennington C.H., Slichter C.P. in: Physical Properties of High Temperature Superconductors II, (Ginsberg D.M. ed.). New Jersey: World Scientific 1990.

    Google Scholar 

  8. Walstedt R.E., Warren W.W. Jr.: Science248, 1082 (1990)

    Article  ADS  Google Scholar 

  9. Slichter C.P., Barrett S.E., Martindale J.A., Durand D.J., Pennington C.H., Klug C.A., O’Hara K.E., DeSoto S.M., Imai T., Rice J.P., Friedmann T.A., Ginsberg D.M.: (this volume)

  10. Kitaoka Y., Ishida K., Ohsugi S., Fujiwara K., Zheng G.-Q., Asayama K.: (this volume)

  11. Berthier C., Berthier Y., Butaud P., Clark W.G., Gillet J.A., Horvatić M., Ségransan, P.: (this volume)

  12. Brinkmann D.: (this volume)

  13. Schwarz K., Ambrosch-Draxl C., Blaha H.: Phys. Rev.B42, 2051 (1990); Yu J., Freeman A.J., Podloucky R., Herzig P., Weinberger P.: Phys. Rev.B43, 532 (1991)

    ADS  Google Scholar 

  14. Riesemeier H., Gärtner S., Müller V., Lüders K.: (this volume)

  15. Yakubowskii A., Egorov A., Lütgemeier H.: (this volume)

  16. Matukhin V.L., Anashkin V.N., Pogoreltsev A.I., Safin I.A.: (this volume)

  17. Heinmaa I., Lütgemeier H., Pekker S., Krabbes G., Buchgeister M.: (this volume)

  18. Kukovitzkii E.F., Mustafin R.G., Teitelbaum G.B.: (this volume)

  19. Bakharev O.N., Dooglav A.V., Egorov A.V., Lütgemeier H., Rodionova M.P., Teplov M.A., Volodin A.G., Wagener D.: (this volume)

  20. Verkhovskii S.V., Zhdanov Yu.I., Bogdanovitch A.M., Mikhalyov K.N., Aleksashin B.A., Serikov V.V., Sadovskii M.V., Lavrentjev V.V.: (this volume)

  21. Watanabe I., Kumagai K., Nakamura Y., Kimura T., Nakamichi Y., Nakajima H.: J. Phys. Soc. Jpn.56, 3028 (1987)

    Article  ADS  Google Scholar 

  22. Kitaoka Y., Ishida K. Fujiwara K., Asayama K., Katayama-Yoshida H., Okabe Y., Takahashi T.: IBM Journ. of Res. and Dev.33, 277 (1989)

    Google Scholar 

  23. Rigamonti A., Borsa F., Corti M., Rega T., Ziolo J., Waldner F. in: Earlier and Recent Aspects of Superconductivity (J.G. Bednorz, K.A. Müller eds.) Springer Series in Solid-State Sciences90, 441 (1990)

  24. Mehring M., Hentsch F., Mattausch Hj., Simon A.: Z. Phys.B 77, 3 (1989), 355

    Article  Google Scholar 

  25. Mehring M. in: Earlier and Recent Aspects of Superconductivity (Bednorz J.G., Müller K.A. eds.) Springer Series in Solid-State Phys.90, 467 (1990)

  26. Mehring M., Hentsch F., Mattausch Hj., Simon A.: Solid State Commun. 75, 9 (1990) 753

    Article  Google Scholar 

  27. Mehring M., Hentsch F., Winzek N. in: Dynamics of Magnetic Fluctuations in High-Temperature Superconductors (Reiter G., Horsch P. eds.), p.87. New York: Plenum Press 1991.

    Google Scholar 

  28. Hentsch F., Winzek N., Mehring M., Mattausch Hj., Simon A.: Physica C158, 137 (1989)

    Article  ADS  Google Scholar 

  29. Lee M., Song Y.-Q., Halperin W.P., Tonge L.M., Marks T.J., Marcy H.O., Kannewurf C.R.: Phys. Rev. B40, 1 (1989), 817. Song Y.-Q. Lee M., Halperin W.P., Tonge L.M., Marks T.J.: Phys. Rev. B44, 2 (1991), 914

    Article  Google Scholar 

  30. Brom H.B., Alloul H.: Physica C177, 297 (1991)

    Article  ADS  Google Scholar 

  31. Reefman D., Brom H.B.: Physica C183, 212 (1991)

    Article  ADS  Google Scholar 

  32. Carretta P.: Phys. Rev. B45, 5760 (1992)

    Article  ADS  Google Scholar 

  33. Kume K.: (this volume)

  34. Brom H.B., Moonen J.T., Reefman D.: (this volume)

  35. Borsa F., Carretta P., Corti M., Rigamonti A.: (this volume)

  36. Hizhnyakov V., Sigmund E.: Physica C156 655 (1988)

    Article  ADS  Google Scholar 

  37. Emery V.J., Kivelson S.A., Lin H.Q.: Phys. Rev. Lett.64, 475 (1990); Phillips J.C.: Phys. Rev. B38, 7356 (1989); ibid. B40, 7346 (1998); Marder M., Papanicolaou N., Psaltakis G.C.: Phys. Rev. B41, 6920 (1990)

    Article  ADS  Google Scholar 

  38. Mehring M., Baehr M., Gergen P. Gross J., Kessler Ch. in: Phase Separation in Cuprate Superconductors (K.A. Müller, ed.) World Scientific Publishing 1992. (in preparation)

  39. Kremer R.K., Sigmund E., Hishnyakov V., Hentsch F., Simon A., Müller K.A., Mehring M.: Z. Phys. B86, 319 (1992)

    Article  ADS  Google Scholar 

  40. Zhang F.C., Rice T.M.: Phys. Rev. B37, 3759 (1988)

    Article  ADS  Google Scholar 

  41. Wagner J., Putz R., Dopf G., Ehlers B., Lilly L., Muramatsu A., Hanke W. in: Earlier and Recent Aspects of Superconductivity (J.G. Bednorz, K.A. Müller eds.) Springer Series in Solid-State Sciences90, 518 (1990); Dopf G., Maramatsu A., Hanke W.: Phys. Rev. Lett.68, 352 (1992); and various reviews on the subject in Physica C153–155 (1988)

  42. Mila F., Rice T.M.: Phys. Rev. B40, 11382 (1989)

    Article  ADS  Google Scholar 

  43. Karplus M., Fraenkel G.K.: J. Chem. Phys.35, 1312 (1961)

    Article  ADS  Google Scholar 

  44. Köngeter D., Mehring M.: Phys. Rev.B39, 6361 (1989)

    Google Scholar 

  45. Pennington C.H., Durand D.J., Slichter C.P., Rice J.P., Bukowski E. D., Ginsberg D.M.: Phys. Rev. B39, 274 (1989); ibid. p. 2902.

    Article  ADS  Google Scholar 

  46. Millis A.J., Monien H., Pines D.: Phys. Rev. B42, 167 (1990); Monien H., Pines D., Takigawa M.: Phys. Rev. B43, 258 (1991)

    Article  ADS  Google Scholar 

  47. Barrett S.E., Durand D.J., Pennington C.H., Slichter C.P., Friedmann T.A., Rice J.P., Ginsberg D.M.: Phys. Rev. B41, 6283–6296 (1990)

    Article  ADS  Google Scholar 

  48. Barrett S.E., Martindale J.A., Durand D.J., Pennington C.H., Slichter C.P., Friedmann T.A., Rice J.P., Ginsberg D.M.: Phys. Rev. Lett.66, 108–111 (1991)

    Article  ADS  Google Scholar 

  49. Bulut N., Hone D., Scalapino D.J., Bickers N.E.: Phys. Rev. Lett. B64, 2723 (1990)

    Article  ADS  Google Scholar 

  50. Bulut N., Scalapino D.J.: Phys. Rev. Lett.67, 2898 (1991)

    Article  ADS  Google Scholar 

  51. Bulut N., Scalapino D.J.: Phys. Rev. Lett.68, 706 (1992)

    Article  ADS  Google Scholar 

  52. Takigawa M. in: Dynamics of Magnetic Fluctuation in high-T c materials (Reiter G., Psaltakis G., Horsch P., eds). New York: Plenum Press 1990.

    Google Scholar 

  53. Zimmerman H., Mali M., Roos R., Brinkmann D., Karpinski J., Kaldis E., Rusiecki S.: Physica C159, 681 (1989); Zimmerman H., Mali M., Mangelschots I., Roos R., Paul L., Brinkmann D., Karpinski J., Rusiecki S., Kaldis E.: J. of Less-Common Metals,164/5, 138 (1990)

    Article  ADS  Google Scholar 

  54. Mali M., Mangelschots I., Zimmermann H., Brinkmann D.: Physica C158, 137 (1989); Physica C175, 581 (1991)

    Article  Google Scholar 

  55. Takigawa M.: (this volume)

  56. Winzek N., Hentsch F., Mehring M., Mattausch Hj., Kremer R., Simon A.: Physica C168, 327 (1990)

    Article  ADS  Google Scholar 

  57. Fujiwara K., Kitaoka Y., Ishida K., Asayam K., Shimakawa Y., Manako T., Kubo Y.: Physica C184, 207 (1991)

    Article  ADS  Google Scholar 

  58. Yoshinari Y., Yasuoka H., Ueda Y., Koga K., Kosuge K.: J. Phys. Soc. Jpn.59, 3698 (1990)

    Article  ADS  Google Scholar 

  59. Knight W.D.: Solid State Physics2, 93 (1956)

    Google Scholar 

  60. Imai T., Slichter C.P., Panlikas A.P., Veal B.: (this volume)

  61. Alloul H., Mendels P., Collin G., Monod P.: Phys. Rev. Lett.61, 746 (1988); Alloul H., Mendels, P., Casalta H., Marucco J.F., Arabski J. of Less Common Metals,164/5, 1022 (1990)

    Article  ADS  Google Scholar 

  62. Kitaoka Y., Fujiwara K., Ishida K., Kondo I., Asayama K.: Journal of Magnetism and Magnetic Materials90/91, 619 (1990); Kitaoka Y., Fujiwara K., Ishida K., Asayama K., Shimakawa Y., Manako T., Kubo Y.: Physica C179, 107 (1991)

    Article  ADS  Google Scholar 

  63. Fujiwara K., Kitaoka Y., Asayama K., Katayama-Yoshida H., Okabe Y., Takahashi T.: J. Phys. Soc. Jpn.57, 2893 (1988)

    Article  ADS  Google Scholar 

  64. Zhadanov Yu.I., Aleksashin B.A., Mikhaljov K.N., Lavrentjev V.V., Verkhovskii V., Yakubovskii A.Yu., Ozhogin V.I., Shustov L.D., Myasoedov A.B.: Physica C183, 247 (1991); Physica C175, 12 (1991)

    Article  ADS  Google Scholar 

  65. de Leeuw D.M., Groen W.A., Jol J.C., Brom H.B., Zanderbergen H.W.: Physica C166, 349 (1990)

    Article  ADS  Google Scholar 

  66. Jol J.C., Reefman D., Brom H.B., Zetterer T., Hahn D., Otto H.H., Renk K.F.: Physica C175, 12 (1991)

    Article  ADS  Google Scholar 

  67. Alekseevskii N.E., Nikolaev E.G., Mitin A.V., Khlybov E.P., Zhdanov Yu.I., Aleksashin B.A., Mikhaljov K.N., Verkhovskii S.V., Lavrentjev V.V., Medvedev E.Yu.: Physica C192, 147 (1992)

    Article  ADS  Google Scholar 

  68. Walstedt R.E., Warren Jr. W.W.: (this volume)

  69. Winzek N., Mehring M.: (this volume)

  70. Warren W.W., Walstedt R.E., Brennert G.F., Cava R.J., Tycko R., Bell R.F., Dabbagh G.: Phys. Rev. Lett. 62, 1193 (1989)

    Article  ADS  Google Scholar 

  71. Horvatić M., Ségransan P., Berthier C., Berthier Y., Butaud P., Henry J.Y., Couach M., Chaminade J.P.: Phys. Rev. B39, 7332 (1989); Horvatić M., Butaud P., Ségransan P., Berthier, Y., Berthier C., Henry J.Y., Couach M.: Physica C166, 151 (1990); Kitaoka Y., Berthier Y., Butaud P., Horvatić M., Ségransan P., Berthier C., Katayama-Yoshida H., Okabe Y., Takahashi T.: Physica C162/4, 265 (1990)

    Article  ADS  Google Scholar 

  72. rigamonti A. in: Electronic Properties of High-T c Superconductors and Related Compounds (H. Kuzmany, M. Mehring J. Fink eds.) Springer Series in Solid-State Sciences99, 218 (1990)

  73. Rossat-Mignod J., Regnault L.P., Vettier C., Burlet P., Henry J.Y., Lapertod G.: Physica B169, 58 (1991); Rossat-Mignod J., Regnault L.P., Vettier C., Bourges P., Burlet P., Bossy J., Henry J.Y., Lapertod G.: Physica C185/9, 86 (1991)

    Article  ADS  Google Scholar 

  74. Tranquada J.M. in: Miami Workshop on Electronic Structure and Mechanisms for High Temperature Superconductivity, January 3–9, 1991 (J. Ashkenazi, G. Vezzoli eds.). New York: Plenum 1992.

    Google Scholar 

  75. Yoshida K.: Phys. Rev. Lett.3, 325 (1959)

    Article  Google Scholar 

  76. Maarschall E.P.: Proceedings of the Colloque Ampere, Bucarest, 1970; Bucci C., Guidi G.: Phys. Rev. B9, 3053 (1974)

  77. Moriya T.: J. Phys. Soc. Jpn.18, 516 (1963)

    Article  ADS  Google Scholar 

  78. Moriya T., Takahashi Y., Ueda K.: J. Phys. Soc. Jpn.59, 2905 (1990)

    Article  ADS  Google Scholar 

  79. Mehring M., Hentsch F., Winzek N. in: Electronic Properties of High-T c Superconductors and Related Compounds (Kuzmany H., Mehring M., Fink J. eds.) Springer Series in Solid-State Sciences99, 184 (1990)

  80. Millis A.J., Monien H.: Phys. Rev. B45, 3059 (1992)

    Article  ADS  Google Scholar 

  81. Mehring M., in: Low-Dimensional Conductors and Superconductors, NATO ASI Series, New York: Plenum Publishing Co., 185, 1987.

    Google Scholar 

  82. Mehring M. in: NMR/NQR in High-T c Superconductors (Brinkmann D., Mali M., Roos J. eds.) p.26, Colloque AMPERE Zürich 1991.

  83. Hentsch F., Winzek N., Mehring M., Mattausch Hj., Simon A., Kremer R.: Physica C165, 485 (1990)

    Article  ADS  Google Scholar 

  84. Bourbonnais C., Wzietek P., Creuzet F., Jerme Batail P., Beechgaard K.: Phys. Rev. Lett.62, 1532 (1989)

    Article  ADS  Google Scholar 

  85. Bourges P., Gehring P.M., Hennion B., Moudden A.H., Tranquada J.M., Shirane G., Shamoto S., Sato M.: Phys. Rev. B43, 8690 (1991)

    Article  ADS  Google Scholar 

  86. Nagaosa N., Lee P.A.: Phys. Rev B45, 966 (1992)

    Article  ADS  Google Scholar 

  87. Mehring M.: (to be published)

  88. Carretta P., Corti M., Rigamonti A., De Renzi R., Licci F., Paris C., Bonoldi L., Sparpaglione M., Zini L.: Physica C191, 97 (1992)

    Article  ADS  Google Scholar 

  89. Lu J.P., Si Q., Kim J.H., Levin K.: Phys. Rev. Lett.65, 2466 (1990)

    Article  ADS  Google Scholar 

  90. Takigawa M., Reyes A.P., Hammel P.C., Tompson J.D., Heffner R.H., Fisk Z., Ott K.C.: Phys. Rev. B43, 247 (1991); Hammel P.C., Takigawa M., Heffner R.H., Fisk Z., Ott K.C.: Phys. Rev. Lett.63, 1992 (1989)

    Article  ADS  Google Scholar 

  91. Anderson P.W.: Science235, 1196 (1987)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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Mehring, M. What does NMR tell us about the electronic state of high-T c superconductors?. Appl. Magn. Reson. 3, 383–421 (1992). https://doi.org/10.1007/BF03166275

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