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Prog. Theor. Phys. Vol. 40 No. 3 (1968) pp. 435-451

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Classical Spins in Superconductors

Hiroyuki Shiba

Department of Physics, University of Tokyo, Tokyo

(Received April 12, 1968)

Abstract:

It is shown that there exists a localized excited state in the energy gap in a superconductor with a classical spin. At finite concentration localized excited states around classical spins form an “impurity band”. The process of growth of the "impurity band" and its effects on observable quantities are investigated.


URL : http://ptp.ipap.jp/link?PTP/40/435/
DOI : 10.1143/PTP.40.435

[ Full Text PDF : FREE ACCESS (873K) ] Citation:


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Citing Article(s) :

  1. Journal of the Physical Society of Japan 61 (1992) pp. 3239-3254 :
    Numerical Renormalization Group Study of Magnetic Impurities in Superconductors
    Koji Satori, Hiroyuki Shiba, Osamu Sakai and Yukihiro Shimizu
  2. Journal of the Physical Society of Japan 61 (1992) pp. 3439-3442 :
    1/N and Quantum Monte Carlo Studies of a Magnetic Impurity in an Insulator with a Small Gap
    Tetsuro Saso
  3. Journal of the Physical Society of Japan 62 (1993) pp. 3181-3197 :
    Numerical Renormalization Group Study of Magnetic Impurities in Superconductors. II. Dynamical Excitation Spectra and Spatial Variation of the Order Parameter
    Osamu Sakai, Yukihiro Shimizu, Hiroyuki Shiba and Koji Satori
  4. Journal of the Physical Society of Japan 62 (1993) pp. 4364-4372 :
    Magnetic Impurity in Insulators with Small Energy Gap
    Jun Ogura and Tetsuro Saso
  5. Journal of the Physical Society of Japan 67 (1998) pp. 1332-1341 :
    Ground State Properties and Localized Excited States around a Magnetic Impurity Described by the Anisotropic s- d Interaction in Superconductivity
    Tomoki Yoshioka and Yoji Ohashi
  6. Journal of the Physical Society of Japan 67 (1998) pp. 2614-2617 :
    Spatial Change of Tunneling Spectra around Small Iron Islands on Surfaces of Superconducting 2H-NbSe 2
    Fumio Komori, Ken Hattori and Takao Iwaki
  7. Journal of the Physical Society of Japan 68 (1999) pp. 3054-3061 :
    Analysis of Impurity-Induced Circular Currents for the Chiral Superconductor Sr 2RuO 4
    Yukihiro Okuno, Masashige Matsumoto and Manfred Sigrist
  8. Journal of the Physical Society of Japan 69 (2000) pp. 858-867 :
    Current Patterns and Magnetic Impurities in Time-Reversal Breaking Superconductors
    Yukihiro Okuno
  9. Journal of the Physical Society of Japan 69 (2000) pp. 1152-1161 :
    Phase Dependent Energy Levels of Bound States and D.C. Josephson Current in Unconventional Superconductor / Ferromagnetic Insulator / Unconventional Superconductor Junctions
    Yukio Tanaka and Satoshi Kashiwaya
  10. Journal of the Physical Society of Japan 69 (2000) pp. 1812-1823 :
    Numerical Renormalization Group Studies on Single Impurity Anderson Model in Superconductivity: A Unified Treatment of Magnetic, Nonmagnetic Impurities, and Resonance Scattering
    Tomoki Yoshioka and Yoji Ohashi
  11. 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
  12. Journal of the Physical Society of Japan 74 (2005) pp. 1938-1941 :
    Impurity Effect as a Probe for the Gap Function in the Filled Skutterudite Compound Superconductor PrOs4Sb12: Sb-NQR Study
    Masahide Nishiyama, Takayuki Kato, Hitoshi Sugawara, Daisuke Kikuchi, Hideyuki Sato, Hisatomo Harima and Guo-qing Zheng
  13. Journal of the Physical Society of Japan 78 (2009) 074709 (6 pages) :
    Effect of Magnetic Impurity Scattering on Superconducting Transition in Low Dimensions: Effect of Long-Time-Tail of Magnetization Diffusion
    Shinya Nishiyama and Kazumasa Miyake
  14. Journal of the Physical Society of Japan 78 (2009) 084718 (11 pages) :
    Single Impurity Effects in Multiband Superconductors with Different Sign Order Parameters
    Masashige Matsumoto, Mikito Koga, and Hiroaki Kusunose
  15. Journal of the Physical Society of Japan 79 (2010) 083704 (4 pages) :
    Single-Impurity Problem in Iron-Pnictide Superconductors
    Toshikaze Kariyado and Masao Ogata
  16. Journal of the Physical Society of Japan 81 (2012) 011005 (17 pages) :
    Spectroscopic Imaging Scanning Tunneling Microscopy Studies of Electronic Structure in the Superconducting and Pseudogap Phases of Cuprate High-Tc Superconductors
    Kazuhiro Fujita, Andrew R. Schmidt, Eun-Ah Kim, Michael J. Lawler, Dung Hai Lee, J. C. Davis, Hiroshi Eisaki, and Shin-ichi Uchida
  17. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 25-44 :
    Superconducting Tunneling through the Barrier with Paramagnetic Impurities
    Hiroyuki Shiba and Toshio Soda
  18. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 45-59 :
    Kondo Effect in Superconductor
    Fumihiko Takano and Seitaro Matayoshi
  19. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 571-577 :
    Validity of Different Criteria for Bound States at Magnetic Impurity Sites in Superconductors
    Michael Fowler
  20. Progress of Theoretical Physics Vol. 44 No. 4 (1970) pp. 865-878 :
    Bound States in a Superconductor Containing a Magnetic Impurity
    Hirokazu Sato and Kazumi Maki
  21. Progress of Theoretical Physics Vol. 44 No. 6 (1970) pp. 1472-1476 :
    Comments on Superconductors with Magnetic Impurities
    Akio Sakurai
  22. Progress of Theoretical Physics Vol. 46 No. 2 (1971) pp. 364-386 :
    Bound States Due to a Magnetic Impurity in a Superconductor. I
    Yosuke Nagaoka and Tamifusa Matsuura
  23. Progress of Theoretical Physics Vol. 46 No. 3 (1971) pp. 688-700 :
    Local Variation of an Order Parameter and an Isolated State inside the Energy Gap in a Superconductor with a Magnetic Impurity
    Yoshihiro Kuroda
  24. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 1817-1823 :
    Bound States Due to Resonance Scattering in Superconductor
    Kazushige Machida and Fumiaki Shibata
  25. Progress of Theoretical Physics Vol. 48 No. 2 (1972) pp. 701-702 :
    On the Origin of Resonance State in Superconductors
    Fumiaki Shibata and Kazushige Machida
  26. Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1459-1482 :
    Application of the Coherent Potential Approximation to Impurity Problems in Superconductors. II
    Fumihiko Takano and Kazuo Fujiki
  27. Progress of Theoretical Physics Vol. 50 No. 1 (1973) pp. 50-73 :
    A Hartree-Fock Theory of Transition-Metal Impurities in a Superconductor
    Hiroyuki Shiba
  28. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 760-772 :
    Density of States in the Energy Gap in the Superconducting Transition Metal Alloy
    Katsuichi Tankei and Fumihiko Takano
  29. Progress of Theoretical Physics Vol. 58 No. 2 (1977) pp. 404-418 :
    Theory of Kondo Effect in Superconductors. II
    Shin'ichi Ichinose