Skip to main content
Log in

Interplay of Superconductivity and Ferromagnetism in UGe2

  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

The emergence of pressure induced superconductivity (SC) under the background of ferromagnetic state in 5f-electron based itinerant ferromagnetic superconductor UGe2 is studied in the single band model by using a mean-field approximation. The solutions to the coupled equations of superconducting gap (Δ) and magnetization (m) are obtained using Green’s function technique and equation of motion method. It is shown that there generally exists a coexistent (Δ≠0, m≠0) solution to the coupled equations of the order parameters in the temperature range 0<T<min (T C,T FM), where T C and T FM are respectively the superconducting and ferromagnetic transition temperatures. The study of electronic specific heat (C/T), density of states, free energy, etc. are also presented. The specific heat capacity at low temperature shows linear temperature dependence as opposed to the activated behavior. Density of states increases as opposed to the case of a standard ferromagnetic metal. Free energy study reveals that the superconducting ferromagnetic state has lower energy than the normal ferromagnetic state and, therefore, realized at low enough temperature. The agreement between theory and experimental results for UGe2 is quite satisfactory.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Saxena, S.S., Agarwal, P., Ahilan, K., Grosche, F.M., Hasselwimmer, R.K.W., Steiner, M.J., Pugh, E., Walker, I.R., Julian, S.R., Monthoux, P., Lonzarich, G.G., Huley, A., Sheikin, I., Braithwaite, D., Flouquet, J.: Nature 406, 587 (2000)

    Article  ADS  Google Scholar 

  2. Huxley, A., Sheikin, I., Ressourche, E., Kernavanois, N., Braithwaite, D., Calemczuk, R., Flouquet, J.: Phys. Rev. B 63, 144519 (2001)

    Article  ADS  Google Scholar 

  3. Oikawa, K., Kamiyama, T., Asano, H., Onuki, Y., Kohgi, H.: J. Phys. Soc. Jpn. 65, 3229 (1996)

    Article  ADS  Google Scholar 

  4. Boulet, P., Daoudi, A., Potel, M., Noel, H., Gross, G.M., Andre, G., Bouree, F.: J. Alloys Compounds 247, 104 (1997)

    Article  Google Scholar 

  5. Yamagami, H., Hasegawa, A.: Physica B 186, 182 (1993)

    Article  ADS  Google Scholar 

  6. Shick, A.B., Pickett, W.E.: Phys. Rev. Lett. 86, 300 (2001)

    Article  ADS  Google Scholar 

  7. Aso, N., Motoyama, G., Uwatoko, Y., Ban, S., Nakamura, S., Nishioka, T., Homma, Y., Shiokawa, Y., Hirota, K., Sato, N.K.: Phys. Rev. B 73, 054512 (2006)

    Article  ADS  Google Scholar 

  8. Sinha, K.P., Kakani, S.L.: Magnetic Superconductors: Recent Developments. Nova Science, New York (1989)

    Google Scholar 

  9. Kakani, S.L., Upadhyaya, U.N.: J. Low Temp. Phys. 70, 5 (1988)

    Article  ADS  Google Scholar 

  10. Kakani, S.L., Kakani, S.: In: Superconductivity. New Age International, New Delhi (2007)

    Google Scholar 

  11. Ginzburg, V.L.: Sov. Phys. JETP 4, 153 (1957)

    Google Scholar 

  12. Pfleiderer, C., Lohneysen, H.V.: J. Low Temp. Phys. 126, 933 (2002)

    Article  Google Scholar 

  13. Karchev, N.I.: Cond-mat/0405371 (15 June 2004)

  14. Fischer, O., Maple, M.B. (eds.): Superconductivity in Ternary Compounds. Springer, Berlin (1983)

    Google Scholar 

  15. Felner, I., Asaf, U., Levi, Y., Millo, O.: Phys. Rev. B 55, R3374 (1997)

    Article  ADS  Google Scholar 

  16. Anderson, P.W., Suhl, H.: Phys. Rev. 116, 898 (1959)

    Article  ADS  Google Scholar 

  17. Blount, E.I., Varma, C.M.: Phys. Rev. Lett. 42, 1079 (1979)

    Article  ADS  Google Scholar 

  18. Kakani, S.L., Upadhyaya, U.N.: J. Low Temp. Phys. 53, 221 (1983)

    Article  ADS  Google Scholar 

  19. Machida, K., Ohmi, T.: Phys. Rev. Lett. 86, 850 (2001)

    Article  ADS  Google Scholar 

  20. Shimahara, H., Kohmoto, M.: Europhys. Lett. 57, 247 (2002)

    Article  ADS  Google Scholar 

  21. Sandeman, K.G., Lonzarich, G., Schofield, A.: Phys. Rev. Lett. 90, 167005 (2003)

    Article  ADS  Google Scholar 

  22. Kirkpatrick, T.R., Belitz, D., Vojta, T., Narayanan, R.: Phys. Rev. Lett. 87, 127003 (2001)

    Article  ADS  Google Scholar 

  23. Zhou, Y., Gong, C.D.: Europhys. Lett. 74(1), 145 (2006)

    Article  ADS  Google Scholar 

  24. Watanabe, S., Miyake, K.: J. Phys. Soc. Jpn. 71, 2489 (2002)

    Article  ADS  Google Scholar 

  25. Abrikosov, A.A.: J. Phys. Condens. Matter 13, L943 (2001)

    Article  ADS  Google Scholar 

  26. Suhl, H.: Phys. Rev. Lett. 87, 167007 (2001)

    Article  ADS  Google Scholar 

  27. Uzunov, D.I.: Cond-mat/0611431 VI16 (November 2006)

  28. Powell, B.J., Annett, J.F., Gyorffy, B.L.: J. Phys. A Math. Gen. 36, 9289 (2003)

    Article  MATH  ADS  Google Scholar 

  29. Kakani, S.M., Kalra, L., Kakani, S.L.: DOI:10.1007/10948-008-0313-4

  30. Kirkpatrick, T.R., Belitz, D.: Phys. Rev. B 67, 024515 (2003)

    Article  ADS  Google Scholar 

  31. Bardeen, J., Cooper, L.N., Schrieffer, J.R.: Phys. Rev. 108, 1175 (1957)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  32. Hubbard, J.: Proc. R. Soc. (Lond.) Sect. A 276, 238 (1963)

    ADS  Google Scholar 

  33. Skalski, S., Betbeder-Matibet, O., Weiss, P.R.: Phys. Rev. A 136, 1500 (1964)

    Article  ADS  Google Scholar 

  34. Fetter, A.L., Welecka, J.D.: Quantum Theory of Many Particle Systems. McGraw-Hill, New York (1971)

    Google Scholar 

  35. Clogston, M.A.: Phys. Rev. Lett. 9, 266 (1962)

    Article  ADS  Google Scholar 

  36. Chandrasekhar, B.S.: Appl. Phys. Lett. 1, 7 (1962)

    Article  ADS  Google Scholar 

  37. Sa, D.: Phys. Rev. B 66, 140505 (2002) (R)

    Article  ADS  Google Scholar 

  38. Karchev, N.I., Blagoev, K.B., Bedell, K.S., Littlewood, P.B.: Phys. Rev. Lett. 86, 846 (2002)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. L. Kakani.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kakani, S., Kalra, M.L. & Kakani, S.L. Interplay of Superconductivity and Ferromagnetism in UGe2 . J Supercond Nov Magn 21, 301–311 (2008). https://doi.org/10.1007/s10948-008-0334-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-008-0334-z

Keywords

PACS

Navigation