Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 29 No. 1 (1963) pp. 1-9

[ Full Text PDF : FREE ACCESS (606K) ]

Superconductivity in Transition Metals

Jun Kondo

The Institute for Solid State Physics, University of Tokyo, Azabu, Tokyo

(Received August 18, 1962)

Abstract:

A two-band model of superconductivity is investigated. One band is treated in line with BCS (the cut of the interaction outside \hbarω of the Fermi energy). In the other band the interaction is assumed to be repulsive. The superconducting transition temperature is always raised over that of the single attractive band, when an interaction between the bands are introduced. The increase of the temperature is large when the density of states of the repulsive band at the Fermi surface is large. The isotope effect vanishes when the interband interaction is large. This model can account for the superconducting properties of the V3M series and Nb3Sn. It is argued that superconducting non-transition metals belong to single-band superconductors, whereas the superconductivity of transition metals is largely due to their overlapping bands, especially in lanthanum.


URL : http://ptp.ipap.jp/link?PTP/29/1/
DOI : 10.1143/PTP.29.1

[ Full Text PDF : FREE ACCESS (606K) ] Citation:


References:

  1. J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev. 108 (1957), 1175[APS].
  2. B. T. Matthias, J. Phys. Soc. Jpn. 17 (1962) Suppl. BI, p. 104.
  3. T. H. Geballe, B. T. Matthias, G. W. Hull, Jr. and E. Corenzwit, Phys. Rev. Lett. 6 (1961), 275[APS].
  4. See reference 2).
  5. G. E. Devlin and E. Corenzwit, Phys. Rev. 120 (1960), 1964[APS].
  6. H. J. Williams and R. C. Sherwood, Bull. Am. Phys. Soc. 5 (1960), 430. See also reference 9).
  7. W. E. Blumberg, J. Eisinger, V. Jaccarino and B. T. Matthias, Phys. Rev. Lett. 5 (1960), 149[APS].
  8. F. J. Morin, J. P. Maita, H. J. Williams, R. C. Sherwood, J. H. Wernick and J. E. Kunzler, Phys. Rev. Lett. 8 (1962), 275[APS].
  9. A. M. Clogston and V. Jaccarino, Phys. Rev. 121 (1961), 1357[APS].
  10. H. Suhl, B. T. Matthias and L. R. Walker, Phys. Rev. Lett. 3 (1959), 552[APS].
  11. J. M. Lock, Proc. Phys. Soc. B 70 (1957), 566.
  12. W. E. Blumberg, J. Eisinger, V. Jaccarino and B. T. Matthias, Phys. Rev. Lett. 5 (1960), 52[APS].
  13. D. H. Parkinson, F. E. Simon and F. H. Spedding, Proc. R. Soc. A 207 (1951), 137.
  14. B. T. Matthias and E. Corenzwit, Phys. Rev. 107 (1957), 1558[APS].
  15. See W. A. Harrison and M. B. Webb (Ed.), The Fermi Surface (John Wiley & Sons, 1960).
  16. K. Yosida and A. Watabe, Prog. Theor. Phys. 28 (1962), 361[PTP].

Citing Article(s) :

  1. ERROR : Mag:26, Vol:L1565, Page:
  2. Journal of the Physical Society of Japan 59 (1990) pp. 677-691 :
    Superconducting Transition of Two-Dimensional Two-Band Systems with Exchange-Like Interaction
    Kunihiko Yamaji
  3. Journal of the Physical Society of Japan 65 (1996) pp. 327-328 :
    Superconductivity in the Two-Chain Hubbard Model Including the Interchain Coulomb Interaction
    Soh Koike and Kunihiko Yamaji
  4. Journal of the Physical Society of Japan 67 (1998) pp. 1377-1390 :
    Pairing Correlation in the Three-Leg Hubbard Ladder – Renormalization Group and Quantum Monte Carlo Studies
    Takashi Kimura, Kazuhiko Kuroki and Hideo Aoki
  5. Journal of the Physical Society of Japan 69 (2000) pp. 2199-2208 :
    Superconducting Condensation Energy of the Two-Chain Hubbard Model in the Bulk Limit
    Soh Koike, Kunihiko Yamaji and Takashi Yanagisawa
  6. Journal of the Physical Society of Japan 69 (2000) pp. 2615-2622 :
    Theoretical Study on the Superconductivity Induced by the Dynamic Jahn-Teller Effect in Alkali-Metal-Doped C 60
    Shugo Suzuki, Susumu Okada and Kenji Nakao
  7. Journal of the Physical Society of Japan 69 (2000) pp. 3505-3508 :
    Mechanism of Spin-Triplet Superconductivity in Sr 2RuO 4
    Masatoshi Sato and Mahito Kohmoto
  8. Journal of the Physical Society of Japan 70 (2001) pp. 808-812 :
    Superconductivity of the Two-Dimensional Hubbard Model with a Small U
    Jun Kondo
  9. Journal of the Physical Society of Japan 70 (2001) pp. 1218-1221 :
    Superconductivity Driven by the Interband Coulomb Interaction and Implications for the Superconducting Mechanism of MgB2
    Masatoshi Imada
  10. Journal of the Physical Society of Japan 70 (2001) pp. 1476-1479 :
    Two-Band-Type Superconducting Instability in MgB2
    Kunihiko Yamaji
  11. Journal of the Physical Society of Japan 70 (2001) pp. 2844-2847 :
    Phase Instability in Multi-band Superconductors
    Yasumoto Tanaka
  12. Journal of the Physical Society of Japan 71 (2002) pp. 1353-1359 :
    Theory of Multiband Superconductivity
    Jun Kondo
  13. Journal of the Physical Society of Japan 71 (2002) pp. 1978-1992 :
    Bound State and Order Parameter Mixing Effect by Nonmagnetic Impurity Scattering in Two-band Superconductors
    Yoji Ohashi
  14. Journal of the Physical Society of Japan 72 (2003) pp. 673-687 :
    Microscopic Identification of the D-vector in Triplet Superconductor Sr2RuO4
    Youichi Yanase and Masao Ogata
  15. Journal of the Physical Society of Japan 77 (2008) 104712 (5 pages) :
    Theoretical Evidences for Enhanced Superconducting Transition Temperature of CaSi2 in a High-Pressure AlB2 Phase
    Akitaka Nakanishi, Takahiro Ishikawa, Hitose Nagara, and Kouichi Kusakabe
  16. Journal of the Physical Society of Japan 78 (2009) 094718 (5 pages) :
    Isotope Effect in Multi-Band and Multi-Channel Attractive Systems and Inverse Isotope Effect in Iron-Based Superconductors
    Takashi Yanagisawa, Kosuke Odagiri, Izumi Hase, Kunihiko Yamaji, Parasharam M. Shirage, Yasumoto Tanaka, Akira Iyo, and Hiroshi Eisaki
  17. Journal of the Physical Society of Japan 79 (2010) 094704 (14 pages) :
    Effect of Impurities with Internal Structure on Multiband Superconductors –Possible Enhancement of Transition Temperature–
    Mikito Koga, Masashige Matsumoto, and Hiroaki Kusunose
  18. Journal of the Physical Society of Japan 79 (2010) 126001 (2 pages) :
    Comment on “Isotope Effect in Multi-Band and Multi-Channel Attractive Systems and Inverse Isotope Effect in Iron-Based Superconductors”
    Annette Bussmann-Holder and Hugo Keller
  19. Journal of the Physical Society of Japan 81 (2012) 024712 (10 pages) :
    Vortices and Chirality in Multi-Band Superconductors
    Takashi Yanagisawa, Yasumoto Tanaka, Izumi Hase, and Kunihiko Yamaji
  20. Journal of the Physical Society of Japan 81 (2012) Supplement B SB071 (4 pages) :
    A Theoretical Study Showing K2picene as a Parent Semiconductor for Organic Superconductivity
    Koichi Kusakabe, Isao Maruyama, and Kotaro Yamada
  21. Progress of Theoretical Physics Vol. 36 No. 5 (1966) pp. 901-930 :
    Number-Phase Fluctuations in Two-Band Superconductors
    A. J. Leggett
  22. Progress of Theoretical Physics Vol. 36 No. 6 (1966) pp. 1111-1134 :
    Specific Heat of Superconductors with Overlapping Bands
    Toshio Soda and Yasushi Wada
  23. Progress of Theoretical Physics Vol. 43 No. 4 (1970) pp. 907-916 :
    Superconductivity in Transition Metals with Nonmagnetic Impurities
    Takashi Kusakabe
  24. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 324-326 :
    On Superconductivity of Lanthanum and Uranium
    Takashi Kusakabe
  25. Progress of Theoretical Physics Vol. 90 No. 3 (1993) pp. 499-512 :
    Superconductivity in Two-Band Model
    Masanori Ichioka, Tetsuo Ohmi and Toshihiko Tsuneto
  26. Progress of Theoretical Physics Vol. 90 No. 3 (1993) pp. 513-519 :
    Collective Mode in Two-Band Superconductor
    Masanori Ichioka