A Semiphenomenological Approach for Description of Quasiparticles in High Temperature Superconductors

  • Z. Szotek
  • B. L. Gyorffy
  • W. M. Temmerman
  • O. K. Andersen
  • O. Jepsen
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 545)


We present a semiphenomenological approach to calculating the quasiparticle spectra of High Temperature Superconductors (HTSC’s). It is based on a particularly efficient parametrization of the effective electron-electron interaction afforded by the Density Functional Theory for superconductors and a Tight-Binding Linearized-Mumn-Tin-Orbital scheme for solving the corresponding Kohn-Sham-Bogoliubov-de Gennes equations. We illustrate the method by investigating a number of site and orbital specific, but otherwise phenomenological models of pairing in quantitative detail. We compare our results for the anisotropy of the gap function on the Fermi surface with those deduced from photoemission experiments on single crystals of YBa2Cu3O7. We also compare our predictions for the low temperature dependence of the specific heat with measurements. We investigate the doping dependence of the superconducting transition temperature, Tc. We present new evidence that the Van Hove-like scenario is an essential feature of superconductivity in these materials. Since our description of pairing is semiphenomenological, we shed new light on the physical mechanism of pairing only indirectly and conclude, provisionally, that the dominant pairing interaction operates between electrons of opposite spin, on nearest neighbour Cu sites in d x2-y2 orbitals.


Fermi Surface Local Density Approximation Quasiparticle Spectrum Local Density Approximation Calculation Pairing Amplitude 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Bednorz J.G., Müller K.A. (1986) Z Phys B 64:189CrossRefADSGoogle Scholar
  2. 2.
    Annett J.F., Goldenfeld N., Leggett A.J. (1996) In: Ginsberg D.M. (Ed.) Physical Properties of High Temperature Superconductors vol 5, World Sci., SingaporeGoogle Scholar
  3. 3.
    Oliveira L.N., Gross E.K.U., Kohn W. (1988) Phys Rev Lett 60:2430CrossRefADSGoogle Scholar
  4. 4.
    Kohn W., Gross E.K.U., Oliveira L.N. (1989) J Phys (Paris) 50:2601Google Scholar
  5. 5.
    Andersen O.K. (1975) Phys Rev B 12:3060CrossRefADSGoogle Scholar
  6. 6.
    Skriver H.L. (1984) The LMTO Method, Springer, BerlinGoogle Scholar
  7. 7.
    Suvasini M.B., Temmerman W.M., Gyorffy B.L. (1993) Phys Rev B 48:1202CrossRefADSGoogle Scholar
  8. 8.
    Temmerman W.M., Szotek Z., Gyorffy B.L., Andersen O.K., Jepsen O. (1996) Phys Rev Lett 76:307CrossRefADSGoogle Scholar
  9. 9.
    Eliashberg G.M. (1960) Sov Phys-JETP 11:696Google Scholar
  10. 10.
    Bardeen J., Cooper L.N., Schrieffer J.R. (1957) Phys Rev 108:1175zbMATHCrossRefADSMathSciNetGoogle Scholar
  11. 11.
    Hohenberg P., Kohn W. (1964) Phys Rev 136:864CrossRefADSMathSciNetGoogle Scholar
  12. 12.
    Kohn W., Sham L.J. (1965) Phys Rev 140:A1133CrossRefADSMathSciNetGoogle Scholar
  13. 13.
    Dreizler R.M., Gross E.K.U. (1990) Density Functional Theory, Springer, Berlin New YorkzbMATHGoogle Scholar
  14. 14.
    Jones R.O., Gunnarsson O. (1989) Rev Mod Phys 61:689CrossRefADSGoogle Scholar
  15. 15.
    Andersen O.K., Liechtenstein A.I., Rodriguez CO., Mazin I.I., Jepsen O., Antropov V.P., Gunnarsson O., Gopalan S. (1991) Physica C 185–189:147CrossRefADSGoogle Scholar
  16. 16.
    Andersen O.K., Liechtenstein A.I., Jepsen O., Paulsen F. (1995) J Phys Chem Solids 56:1573CrossRefADSGoogle Scholar
  17. 17.
    Andersen O.K., Jepsen O., Liechtenstein A.I., Mazin I.I. (1994) Phys Rev B 49:4145CrossRefADSGoogle Scholar
  18. 18.
    Gross E.K.U., Kurth S., Capelle Klaus, Liiders M. (1995) In: Gross E.K.U., Dreitler R.M. (Eds.) Density Functional Theory, vol 337 of NATO ASI Series B, Plenum Press, New YorkGoogle Scholar
  19. 19.
    Fetter A.L., Walecka J.D. (1971) Quantum Theory of Many-Particle Systems, McGraw Hill, New York; Abrikosov A.A., Gorkov L.P., Dzaloshinskii I.E. (1965) Quantum Field Theoretical Methods in Statistical Physics, Pergamon Press, OxfordGoogle Scholar
  20. 20.
    Monthoux P., Balatsky A., Pines D. (1989) Phys Rev Lett 62:961; Pines D., Monthoux P.J. (1995) J Phys Chem Solids 56:1651CrossRefGoogle Scholar
  21. 21.
    Chaikin P.M., Lubensky T.C. (1995) Principles of Condensed Matter Physics, Cambridge at the University PressGoogle Scholar
  22. 22.
    Andersen O.K., Liechtenstein A.I., Rodriguez C.O., Mazin I.I., Jepsen O., Antropov V.P., Gunnarsson O., Gopalan S. (1991) Physica C 185–189:147–155CrossRefADSGoogle Scholar
  23. 23.
    Tobin J.G, Olson C.G., Gu C, Liu J.Z., Solal F.R, Fluss M.J., Howell R.H., O’Brien J.C., Radousky H.B., Sterne P.A. (1992) Phys Rev B 45:5563; Gofron K., Campuzano J.C., Ding H., Gu C, Liu R., Dabrowski B., Veal B.W., Cramer W., Jennings G. (1993) J Phys Chem Solids 54:1193; — (1994) Phys Rev Lett 73:3302; Dessau D.S., Shen Z.-X., King D.M., Marshall D., Lombardo L.W., Dickenson P., Di Carlo J., Park C.H., Loeser A.G., Kapitulnik A., Spicer W.E. (1993) Phys Rev Lett 71:2781; Abrikosov A.A., Campuzano J.C, Gofron K. (1993) Physica C 214:73CrossRefADSGoogle Scholar
  24. 24.
    Markiewicz R.S. (1997) J Phys Chem Solids 58:1179–1310CrossRefADSGoogle Scholar
  25. 25.
    Shen Z.-X., Dessau D.S. (1995) Phys Rept 253:1CrossRefADSGoogle Scholar
  26. 26.
    Andersen O.K., Savrasov S.Y., Jepsen O., Liechtenstein A.I. (1996) J Low Temp Phys 105:285CrossRefADSGoogle Scholar
  27. 27.
    Savrasov S.Y., Andersen O.K. (1996) Phys Rev Lett 21:4430CrossRefADSGoogle Scholar
  28. 28.
    Gyorffy B.L., Szotek Z., Temmerman W.M., Andersen O.K., Jepsen O. (1998) Phys Rev B 58:1025CrossRefADSGoogle Scholar
  29. 29.
    Sun A.G., Gajewski D.A., Maple M.B., Dynes R.C. (1994) Phys Rev Lett 72:2267CrossRefADSGoogle Scholar
  30. 30.
    Schabel M.C., Park C.H., Matsuura A., Shen Z.-X., Bonn D.A., Liang Ruixing, Hardy W.N. (1997) Phys Rev B 55:2796CrossRefADSGoogle Scholar
  31. 31.
    Miihlschlegel B. (1959) Z Phys 155:313CrossRefADSGoogle Scholar
  32. 32.
    Junod A. (1990) In: Ginsburg D.M. (Ed.) Physical Properties of High Temperature Superconductors II, World Sci., Singapore, 13Google Scholar
  33. 33.
    Loram J.W., Mirza K.A., Cooper J.R. (1998) IRC (Cambridge), Research ReviewGoogle Scholar
  34. 34.
    Redcliffe J.W., Loram J.W., Wade J.M., Witschek G, Talon J.L. (1996) J Low Temp Phys 105:903; Junod A., (1996) In: Narlikar A.V., (Ed.) Studies in High Temperature Superconductors, Chapt 15, Nova Sci., Commack, New YorkCrossRefADSGoogle Scholar
  35. 35.
    Moler K.A., Baar D.J., Urbach J.S., Liang Ruixing, Hardy W.N., Kapitulnik A. (1994) Phys Rev Lett 73:2744CrossRefADSGoogle Scholar
  36. 36.
    Szotek Z., Gyorffy B.L., Temmerman W.M., Andersen O.K. (1998) Phys Rev B 58:522CrossRefADSGoogle Scholar
  37. 37.
    Friedel J. (1989) J Phys Cond Matt 1:7757CrossRefADSGoogle Scholar
  38. 38.
    Newns D.M., Tsuei C.C., Pattnaik P.C. (1995) Phys Rev B 52:13611CrossRefADSGoogle Scholar
  39. 39.
    Novikov D.L., Freeman A.J. (1996) In: Klamut J., Veal B.W., Dabrowski B.M., Klamut P.W., Kazimierski M. (Eds.) Recent Developments in High Temperature Superconductivity, Springer, Berlin Heidelberg, 17–35CrossRefGoogle Scholar
  40. 40.
    Pickett W.E. (1997) Physica C 289:51CrossRefADSGoogle Scholar
  41. 41.
    Radtke R.J., Levin K., Schuttler H-B., Norman M.R. (1993) Phys Rev B 48:15 957; Levin K., (1992) In: Ashkenazi J., Vezzoli G. (Eds.) Electronic Structure and Mechanisms for High Temperature Superconductivity, Plenum, New York, 481Google Scholar
  42. 42.
    Chandrasekhar B.S., Einzel D. (1993) Ann Phys 2:535–546CrossRefGoogle Scholar
  43. 43.
    Dasgupta I., Andersen O.K., Jepsen O. (1998) private communicationGoogle Scholar
  44. 44.
    Szotek Z., Gyorffy B.L., Temmerman W.M. (1999) to be publishedGoogle Scholar
  45. 45.
    Bonn D.A., Kamal S., Zhang Kuan, Liang Ruixing, Baar D.J., Klein E., Hardy W.N. (1994) Phys Rev B 50:4051CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Z. Szotek
    • 1
  • B. L. Gyorffy
    • 2
  • W. M. Temmerman
    • 1
  • O. K. Andersen
    • 3
  • O. Jepsen
    • 3
  1. 1.Daresbury LaboratoryWarringtonEngland, UK
  2. 2.H H Wills Physics LaboratoryUniversity of BristolBristolEngland, UK
  3. 3.Max-Planck-Institut für FestkörperforschungStuttgartGermany

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