Skip to main content

Coexistence of Spin-Triplet Superconductivity and Ferromagnetism Induced by the Hund’s Rule Exchange

  • Chapter
  • First Online:
  • 564 Accesses

Part of the book series: Lecture Notes in Physics ((LNP,volume 603))

Abstract

We discuss general implications of the local spin-triplet pairing among correlated fermions that is induced by the Hund’s rule coupling in orbitally degenerate systems. The quasiparticle energies, the magnetic moment, and the superconducting gap are determined for the principal superconducting phases, in the situation with the exchange field induced by both the local Coulomb and the Hund’s rule exchange interactions. The phase diagram, as well as the evolution in an applied magnetic field of the spin-triplet paired states near the Stoner threshold, is provided for a model two-band system. The appearance of the spin-polarized superconducting phase makes the Stoner threshold a hidden critical point, since the pairing creates a small but detectable uniform magnetization. The stability of the superconducting state against the ferromagnetism with an alternant orbital ordering appearing in the strong-coupling limit is also discussed.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Y. Maeno, H. Hashimoto, K. Yoshida, S. Nishizaki, S. Fujita, J.G. Bednorz: Nature 372, 532 (1994)

    Article  ADS  Google Scholar 

  2. S. S. Saxena, P. Agarwal, K. Ahilan, F.M. Grosche, R.K.W. Haselwimmer, M.J. Steiner, E. Pugh, I.R. Walker, S.R. Julian, P. Monthoux, G.G. Lonzarich, A. Huxley, I. Sheikin, D. Braithwaite. J. Flouquet: Nature 406, 587 (2000) A. Huxley, I. Sheikin, E. Ressouche, N. Kernavanois, D. Braithwaite, R. Calemczuk, J. Flouquet: Phys. Rev. B 63, 144519 (2001); N. Tateiwa, T.C. Kobayashi, K. Hanazono, K. Amaya, Y. Haga, R. Settai, Y. Onuki: J. Phys.: Cond. Matter 13, L17 (2001)

    Article  ADS  Google Scholar 

  3. C. Pfleiderer, M. Uhlarz, S.M. Hayden, R. Vollmer, H.v. Löhneysen, N.R. Bernhoeft, G.G. Lonzarich: Nature 412, 58 (2001)

    Article  ADS  Google Scholar 

  4. D. Aoki, A. Huxley, E. Ressouche, D. Brithwaite, J. Floquet, J-P. Brison, E. Lhotel, C. Paulsen: Nature 413, 613 (2001)

    Article  ADS  Google Scholar 

  5. A. Klejnberg, J. Spałek: J. Phys.: Cond. Matter 11, 6553 (1999)

    Article  ADS  Google Scholar 

  6. J. Spałek: Phys. Rev. B 63, 104513 (2001)

    Article  ADS  Google Scholar 

  7. A. Klejnberg, J. Spałek: Phys. Rev. B 61, 15542 (2000)

    Article  ADS  Google Scholar 

  8. See e.g. E.P. Wohlfarth: J. Appl. Phys. 39, 1061 (1968). A more refined theory invokes the spin fluctuations, cf. T. Moriya: Spin Fluctuations in Itinerant-Electron Magnetism (Springer-Verlag, Berlin, 1985)

    Article  ADS  Google Scholar 

  9. P. W. Anderson: in Frontiers and Borderlines in Many-Particle Physics, edited by R.A. Broglia and J.R. Schrieffer (North-Holland, Amsterdam, 1988) pp.1–40

    Google Scholar 

  10. The role of spin fluctuations in the pairing for a single-band case has been treated in: D. Fay and J. Appel: Phys. Rev. B 16, 2325 (1977) A. Layzer, D. Fay: Int. J. Magn. 1, 135 (1971) Solid State Commun. 15, 599 (1974). The role of the Hund’s rule in purely qualitative terms has been discussed in: G. Baskaran: Physica B 222–224, 498 (1996)

    Article  ADS  Google Scholar 

  11. J. Spałek: Phys. Rev. B 37, 533 (1988)

    Article  ADS  Google Scholar 

  12. A. Klejnberg, J. Spałek: unpublished

    Google Scholar 

  13. This is the so-called one-boson approach. For a brief review see J. Spałek, W. Wójcik: in Spectroscopy of Mott Insulators and Correlated Metals (Springer Series in Solid State Sciences, vol.119, Berlin, 1995) pp.41–65, and references therein

    Google Scholar 

  14. See e.g. M. Sigrist, K. Ueda: Rev. Mod. Phys. 63, 239 (1991)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Spałek, J., Wróbel1, P., Wójcik, W. (2002). Coexistence of Spin-Triplet Superconductivity and Ferromagnetism Induced by the Hund’s Rule Exchange. In: Noce, C., Vecchione, A., Cuoco, M., Romano, A. (eds) Ruthenate and Rutheno-Cuprate Materials. Lecture Notes in Physics, vol 603. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45814-X_5

Download citation

  • DOI: https://doi.org/10.1007/3-540-45814-X_5

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44275-2

  • Online ISBN: 978-3-540-45814-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics