Advertisement

Triplet Superconductivity in a Nutshell

  • Kazumi Maki
  • Hae Young Kee
  • Yoshifumi Morita
Open Access
Original Paper

Abstract

The triplet superconductors have been around us since 1980, when Jerome et al. discovered the Bechgaard salts (TMTSF)2PF6 and (TMTSF)2ClO4. Now there are more than 20 or so triplet superconductors discovered. Recently we found that most of them with the known gap symmetries can be mapped to the superfluid phase of 3He-A and 3He-A1. Further, in most of them, \(\hat{l}\) (the chiral vector, i.e. the quantization axis of the pair angular momentum) is fixed parallel to one of the crystal axes and all the topological defects are considered in terms of \(\hat{d}\) -textures, where \(\hat{d}\) is the spin vector. Then Sr2RuO4, UPt3, PrOs4Sb12 and (TMTSF)2ClO4 belong to type-A, which is an analog of superfluid 3He-A. In these superconductors, a vortex splits into a pair of half quantum vortices (HQVs) at low temperatures. On the other hand, CePt3Si, CeIrSi3, CeRhSi3, UIr and Li2Pt3B (those in non-centrosymmetric crystals) belong to type-A1, which is an analog of superfluid 3He-A1. In all of these triplet superconductors, vortices harbor the zero mode or the Majorana fermions, the implications of which deserves further exploration.

Keywords

Unconventional superconductivity Half quantum vortex 

References

  1. 1.
    Jerome, D., Mazaud, A., Ribault, M., Bechgaard, K.: J. Phys. Lett. 41, L95 (1980) CrossRefGoogle Scholar
  2. 2.
    Takigawa, M., Yasuoka, H., Saito, G.: J. Phys. Soc. Jpn. 56, 873 (1987) CrossRefADSGoogle Scholar
  3. 3.
    Lee, I.J., Brown, S.E., Naughton, M.J.: J. Phys. Soc. Jpn. 75, 051011 (2006) CrossRefADSGoogle Scholar
  4. 4.
    Sigrist, M., Ueda, K.: Rev. Mod. Phys. 63, 239 (1991) CrossRefADSGoogle Scholar
  5. 5.
    Won, H., Haas, S., Parker, D., Telang, S., Vanyolos, A., Maki, K.: In: Lectures on the Physics of Highly Correlated Electron Systems IX. AIP Conference Proceedings, vol. 789. Melville, Brooklyn (2005) Google Scholar
  6. 6.
    Won, H., Morita, Y., Maki, K.: Phys. Status Solidi B 244, 4371 (2007) CrossRefGoogle Scholar
  7. 7.
    Maki, K., Haas, S., Parker, D., Won, H.: In: Topology in Condensed Phases. World Scientific, Singapore (2006) Google Scholar
  8. 8.
    Vollhardt, D., Wölfle, P.: The Superfluid Phases in Helium Three. Taylor & Francis, London (1990) Google Scholar
  9. 9.
    Volovik, G.E.: The Universe in a Helium Droplet. Clarendon, Oxford (2003) MATHGoogle Scholar
  10. 10.
    Bauer, E., Hilscher, G., Michor, H., Paul, C., Scheidt, E.W., Gribanov, A., Seropegin, Yu., Noël, H., Sigrist, M., Rogl, P.: Phys. Rev. Lett. 92, 027003 (2004) CrossRefADSGoogle Scholar
  11. 11.
    Anderson, P.W.: Phys. Rev. B 30, 4000 (1994) CrossRefADSGoogle Scholar
  12. 12.
    Rashba, E.J.: Sov. Phys. Solid State 2, 1109 (1960) Google Scholar
  13. 13.
    Frigeri, P.A., Agterberg, D.F., Koga, A., Sigrist, M.: Phys. Rev. Lett. 92, 097001 (2004) CrossRefADSGoogle Scholar
  14. 14.
    Frigeri, P.A., Agterberg, D.F., Sigrist, M.: New J. Phys. 6, 115 (2004) CrossRefADSGoogle Scholar
  15. 15.
    Settai, R., Takeuchi, T., Onuki, Y.: J. Phys. Soc. Jpn. 76, 051003 (2007) CrossRefADSGoogle Scholar
  16. 16.
    Kimura, N., Muro, Y., Aoki, H.: J. Phys. Soc. Jpn. 76, 051010 (2007) CrossRefADSGoogle Scholar
  17. 17.
    Kobayashi, T.C., Hori, A., Fukushima, S., Hidaka, H., Kotegawa, H., Akazawa, T., Takeda, K., Ohishi, Y., Yamamoto, E.: J. Phys. Soc. Jpn. 76, 051007 (2007) CrossRefADSGoogle Scholar
  18. 18.
    Nishiyama, M., Inada, Y., Zheng, G.-Q.: Phys. Rev. Lett. 98, 047002 (2007) CrossRefADSGoogle Scholar
  19. 19.
    Morita, Y., Maki, K.: Preprint (2008) Google Scholar
  20. 20.
    Ivanov, D.A.: In: Vortices in Unconventional Superconductors and Superfluids. Springer, Berlin (2002) Google Scholar
  21. 21.
    Ivanov, D.A.: Phys. Rev. Lett. 40, 268 (2001) CrossRefADSGoogle Scholar
  22. 22.
    Caroli, C., de Gennes, P.G., Matricon, J.: Phys. Lett. 9, 310 (1964) ADSGoogle Scholar
  23. 23.
    de Gennes, P.G.: The Superconductivity of Metals and Alloys. Benjamin, New York (1966). Reprinted in Percus Book, Reading (1999) Google Scholar
  24. 24.
    Kee, H.Y., Maki, K.: Preprint (2008) Google Scholar
  25. 25.
    Kee, H.Y., Raghavan, A., Maki, K.: Preprint (2007) Google Scholar
  26. 26.
    Morita, Y., Maki, K.: Preprint (2008) Google Scholar
  27. 27.
    Majorana, E.: Nuovo Cim. 14, 171 (1937) MATHCrossRefGoogle Scholar
  28. 28.
    Penrose, R.: The Road to Reality. Vintage Books, New York (2007) Google Scholar
  29. 29.
    Kee, H.Y., Kim, Y.B., Maki, K.: Phys. Rev. B 62, R9275 (2000) CrossRefADSGoogle Scholar
  30. 30.
    Parker, D., Maki, K., Haas, S.: Eur. Phys. J B 49, 77 (2006) CrossRefADSGoogle Scholar
  31. 31.
    Kee, H.Y., Maki, K.: Europhys. Lett. 80, 46003 (2007) CrossRefADSGoogle Scholar
  32. 32.
    Izawa, K., Nakajima, Y., Goryo, J., Matsuda, Y., Onuki, S., Settai, R., Thalmeier, P., Maki, K.: Phys. Rev. Lett. 90, 117001 (2003) CrossRefADSGoogle Scholar
  33. 33.
    Deguchi, K., Mao, Z.Q., Maeno, Y.: J. Phys. Soc. Jpn. 73, 1313 (2004) CrossRefADSGoogle Scholar
  34. 34.
    Fischer, Ø., Kugler, M., Maggio-Aprile, I., Berthod, C., Renner, C.: Rev. Mod. Phys. 79, 353 (2007) CrossRefADSGoogle Scholar
  35. 35.
    Tsuei, C.C., Kirtley, J.R.: Rev. Mod. Phys. 72, 969 (2000) CrossRefADSGoogle Scholar

Copyright information

© The Author(s) 2008

Authors and Affiliations

  • Kazumi Maki
    • 1
    • 2
  • Hae Young Kee
    • 3
  • Yoshifumi Morita
    • 4
  1. 1.Max-Planck Institute for the Physics of Complex SystemsDresdenGermany
  2. 2.Department of Physics and AstronomyUniversity of Southern CaliforniaLos AngelesUSA
  3. 3.Department of PhysicsUniversity of TorontoTorontoCanada
  4. 4.Faculty of EngineeringGunma UniversityKiryuJapan

Personalised recommendations