An Inhomogeneous Superconducting State in a Ferromagnetic Superconductor

  • Hiizu Nakanishi
  • Kazushige Machida
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 52)


An inhomogeneous superconducting state under a ferromagnetic molecular field is investigated theoretically. This problem is solved exactly within the mean field approximation for a one-dimensional electron band. It is found that the solution gives a spin modulated structure associated with a spatially inhomogeneous superconducting order parameter and a two-gap structure in the energy spectrum. Experiments on ErRh4B4 are interpreted by this solution.


Spin Density Superconducting State Satellite Intensity Ferromagnetic Superconductor Helical Solution 
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  1. 1.
    V.L. Ginzburg: Sov. Phys. JETP 4 (1957) 153.Google Scholar
  2. 2.
    A.A. Abrikosov and L.P. Gor’kov: Sov. Phys. JETP 12 (1961) 1243.Google Scholar
  3. 3.
    See for example “Superconductivity in Ternary Compounds Vols.1 and 2”, edited by M.B. Mapel and O.Fischer (Springer Verlag, New York, 1982).Google Scholar
  4. 4.
    D.E. Moncton, D.B. McWhan, P.H. Schmidt, G. Shirane, W. Thomlinson, M.B. Maple, H.B. MacKay, L.D. Woolf, Z. Fisk and D.C. Johnston: Phys. Rev. Lett. 45 (1980) 2060.ADSCrossRefGoogle Scholar
  5. 5.
    S.K. Sinha, G.W. Crabtree, D.G. Rinks and H.A. Mook: Phys. Rev. Lett. 48 (1982) 950.ADSCrossRefGoogle Scholar
  6. S.K. Sinha, G.W. Crabtree, D.G. Hinks, H.A. Mook and 0.A. Pringle: J. Mag. Mag. Mat. 31–34 (1983) 489.ADSCrossRefGoogle Scholar
  7. 6.
    J.W. Lynn, D.E. Moncton, W. Thomlinson, G. Shirane and R. N. Shelton: Solid State Commun. 26 (1978) 493.ADSCrossRefGoogle Scholar
  8. J.W. Lynn, G. Shirane, W. Thomlinson and R.N. Shelton: Phys. Rev. Lett. 46 (1981) 368.ADSCrossRefGoogle Scholar
  9. 7.
    H. Matsumoto, H. Umezawa and M. Tachiki: Solid State Commun. 31 (1979) 157.ADSCrossRefGoogle Scholar
  10. M. Tachiki, A. Kotani, H. Matsumoto and H. Umezawa: ibid. 31 (1979) 927.ADSGoogle Scholar
  11. 8.
    E.I. Blout and C.M. Varma: Phys. Rev. Lett. 42 (1979) 1079.ADSCrossRefGoogle Scholar
  12. H.S. Greenside, E.I. Blount and C.M. Varma: ibid. 46 (1981) 49.ADSCrossRefGoogle Scholar
  13. 9.
    R.A. Ferrell, J.K. Bhattacharjee and A. Bagchi: Phys. Rev. Lett. 43 (1979) 154.ADSCrossRefGoogle Scholar
  14. 10.
    M. Tachiki, H. Matsumoto, T. Koyama and H. Umezawa: Solid State Commun. 34 (1980) 19.ADSCrossRefGoogle Scholar
  15. 11.
    C.K. Kuper, M. Revzen and A. Ron: Phys. Rev. Lett. 44 (1980) 1545.ADSCrossRefGoogle Scholar
  16. 12.
    P. Fulde and R.A. Ferrell: Phys. Rev. 135 (1964) A550.ADSCrossRefGoogle Scholar
  17. 13.
    A.I. Larkin and Y.N. Ovchinnikov: Sov. Phys. JETP 20 (1965) 762.MathSciNetGoogle Scholar
  18. 14.
    S. Takada and T. Izuyama: Prog. Theor. Phys. (Kyot) 41 (1969) 635.ADSCrossRefGoogle Scholar
  19. 15.
    K. Machida: J. Phys. Soc. Jpn. 51 (1982) 3462.ADSCrossRefGoogle Scholar
  20. 16.
    K. Machida: J. Phys. Soc. Jpn. 52 (1983) 2181.ADSCrossRefGoogle Scholar
  21. 17.
    S.A. Brazovskii, S.A. Gordynin and N.N. Kirova: JETP Lett. 31 (1980) 456.ADSGoogle Scholar
  22. 18.
    J. Mertsching and H.J. Fischbeck: Phys. Stat. Sol.(b) 103 (1981) 783.ADSCrossRefGoogle Scholar
  23. 19.
    B. Horovitz: Phys. Rev. Lett. 46 (1981) 742.MathSciNetADSCrossRefGoogle Scholar
  24. 20.
    P.G. de Gennes: Superconductivity of Metals and Alloys (Benjamin, New York, 1966).MATHGoogle Scholar
  25. 21.
    H. Takayama, Y.R. Lin-Liu and K. Maki: Phys. Rev. B21 (1980) 2388.ADSGoogle Scholar
  26. Also see H. Yamamoto and T. Ohmi: Prog. Theor. Phys 66 (1981) 805.ADSCrossRefGoogle Scholar
  27. 22.
    E.T. Whittaker and G.N. Watson: A Course of Modern Analysis 4th ed. (Cambridge University Press, 1927 ).MATHGoogle Scholar
  28. 23.
    K. Maki and T. Tsuneto: Prog. Theor. Phys. 31 (1964) 945.ADSCrossRefGoogle Scholar
  29. 24.
    M.C. Leung: Phys. Rev. B11 (1975) 4272.ADSCrossRefGoogle Scholar
  30. 25.
    K. Machida and D. Youngner: J. Low Temp. Phys. 35 (1979) 449 and 561.ADSCrossRefGoogle Scholar
  31. D. Youngner and K. Machida: ibid. 36 (1979) 617.ADSGoogle Scholar
  32. 26.
    G.W. Crabtree, F. Behroozi, S.A. Campbell and D.G. Hinks: Phys. Rev. Lett. 49 (1982) 1342.ADSCrossRefGoogle Scholar
  33. F. Behroozi, G.W. Crabtree, S.A. Campbell and D.G. Hinks: Phys. Rev. B27 (1983) 6849.ADSCrossRefGoogle Scholar
  34. 27.
    K. Machida: J. Low Temp. Phys. 53 (1983) 403.ADSCrossRefGoogle Scholar
  35. 28.
    S.K. Sinha and J. Kjems: private communication.Google Scholar
  36. 29.
    Recently a tunneling experiment was done on a polycrystalline ERB. The data shows some unusual structures which may reflect the structure of the density of state for the intermediate phase. L.-J. Lin, A.M. Goldman, A.M. Kadin and C.P. Umbach: Phys. Rev. Lett. 51 (1983) 2151.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Hiizu Nakanishi
    • 1
  • Kazushige Machida
    • 2
  1. 1.Department of Physics, Faculty of Science and TechnologyKeio UniversityYokohama 223Japan
  2. 2.Department of PhysicsKyoto UniversityKyoto 606Japan

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