Skip to main content
SpringerLink
Log in

Pseudospin Exchange in Rare Earth Alloys

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

Abstract

We show that the correlated electrons in low dimensional rare earth alloys give rise to a ferromagnetic phase in the intermediate doping regime. The ferromagnetism is due to double exchange mechanism. To show this, we bosonize the one-dimensional periodic Anderson model in Toulouse limit. We obtain two transitions into a ferromagnetic phase, both are quantum order–disorder transitions of the quantum transverse field Ising type. This reflects double exchange-ordered regions of correlated spins being gradually destroyed as the coupling to the conduction electrons is reduced. We also give a comprehensive description of the properties of the ferromagnetic phase and calculate the critical behavior of the phase transitions.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

Notes

  1. For an exponential cut-off Λα (k) = exp(−α|k|) these functions take the form δ α (x) = (1/π) [α/(α 2+x 2)], sgn[α](x) = (2/π) arctan(x/α)

References

  1. Hewson, A.C.: The Kondo problem to heavy fermions. Cambridge University Press, Cambridge (1993)

    Book  Google Scholar 

  2. Anderson, P.W.: Phys. Rev. 124, 41 (1961)

    Article  MathSciNet  ADS  Google Scholar 

  3. Varma, C.M., Yafet, Y.: Phys. Rev. B 13, 29–50 (1976)

    Article  Google Scholar 

  4. Gulacsi, M.: Adv. Phys. 53, 769 (2004)

    Article  ADS  Google Scholar 

  5. Schrieffer, J.R., Wolff, P.A.: Phys. Rev. 149, 2 (1966). For higher order trasnformation, see R. Chan and M. Gulacsi, Phil. Mag. Lett. 81, 673 (2001)

    Article  Google Scholar 

  6. Chan, R, Gulacsi, M.: Phil. Mag. 84, 12–65 (2004)

    Article  Google Scholar 

  7. Gulacsi, M., Chan, R.: J. Supercond. 6, 651 (2001)

    Article  ADS  Google Scholar 

  8. Tsunetsugu, H., Sigrist, M., Ueda, K.: Rev. Mod. Phys. 69, 809 (1997)

    Article  ADS  Google Scholar 

  9. Honner, G., Gulacsi, M.: Phys. Rev. Lett. 78, 21–80 (1997)

    Article  Google Scholar 

  10. Honner, G., Gulacsi, M.: Phys. Rev. B 58, 26–62 (1998)

    Article  Google Scholar 

  11. Gulacsi, M., Gulacsi, Z.: Phys. Rev. B 33, 6147 (1986)

    Article  ADS  Google Scholar 

  12. Gulacsi, M., Gulacsi, Z.: Phys. Rev. B 36, 748 (1987)

    Article  ADS  Google Scholar 

  13. Gulacsi, M., Gulacsi, Z.: Phys. Rev B 39, 714 (1989)

    Article  ADS  Google Scholar 

  14. Gulacsi, M., Gulacsi, Z.: Phys. Rev. B 39, 123–52 (1989)

    Google Scholar 

  15. Gulacsi, M., Van Beijeren, H., Levi, A.C.: Phys. Rev. E 47, 24–73 (1993)

    Article  Google Scholar 

  16. Gulacsi, M.: Phil. Mag. B 76, 731 (1997). For a review, see Gulacsi, Z. and M. Gulacsi, Adv. Phys. 47, 1 (1988)

    Article  ADS  Google Scholar 

  17. McCulloch, I.P., Gulacsi, M.: Aust. J. Phys. 53, 597 (2000)

    Google Scholar 

  18. McCulloch, I.P., Gulacsi, M.: Phil. Mag. Lett. 81, 447 (2001)

    Article  Google Scholar 

  19. McCulloch, I.P., Gulacsi, M.: Europhys. Lett. 57, 852 (2002)

    Article  ADS  Google Scholar 

  20. McCulloch, I.P, et al.: J. Low Temp. Phys. 117, 323 (1999)

    Article  ADS  Google Scholar 

  21. McCulloch, I.P, et al.: Phil. Mag. Lett. 81, 869 (2001)

    Article  ADS  Google Scholar 

  22. McCulloch, I.P, et al.: Phys. Rev. B 65, 052–410 (2002)

    Article  Google Scholar 

  23. Dora, B., et al. Phys. Rev. Lett. 99, 166–6402 (2007)

    Article  Google Scholar 

  24. Dora, B., et al.: Phys. Rev. Lett. 101, 106–408 (2008)

    Article  Google Scholar 

  25. Dora, B., Gulacsi, M.: Phys. Rev. B 78, 165–111 (2008)

    Article  Google Scholar 

  26. Zachar, O., Kivelson, S.A., Emery, V.J.: Phys. Rev. Lett. 77, 13–42 (1996)

    Article  Google Scholar 

  27. Novais, E., et al.: Phys. Rev. B 66, 174–409 (2002)

    Article  Google Scholar 

  28. Chen, Y., Chen, H.: Phys. Rev. B 71, 153–407 (2005)

    Google Scholar 

  29. Toulouse, G., Acad, C.R.: Sc. Paris. 268, 1200 (1969)

    Google Scholar 

  30. Schotte, K.D., Schotte, U.: Phys. Rev. B 4, 22–28 (1971)

    Article  ADS  Google Scholar 

  31. Schotte, K.D., Schotte, U.: Phys. Lett. A 55, 38 (1975)

    Article  ADS  Google Scholar 

  32. Tahvildar-Zadeh, A.N., Jarrell, M., Freericks, J.K.: Phys. Rev. B 55, R33–32 (1997)

    Article  Google Scholar 

  33. Barzykin, V., Affleck, I.: Phys. Rev. Lett. 76, 49–59 (1996)

    Article  Google Scholar 

  34. Pfeuty, P.: Phys. Lett. A 72, 245 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  35. Satija, I.I., Doria, M.M.: Phys. Rev. B 39, R97–57 (1989)

    Article  MathSciNet  Google Scholar 

  36. Satija, I.I.: Phys. Rev. B 41, 72–35 (1990)

    Article  Google Scholar 

  37. Jitomirskaya, S., Klein, A.: J. Stat. Phys. 73, 319 (1993)

    Article  MathSciNet  ADS  Google Scholar 

  38. Fisher, D.S.: Phys. Rev. B 51, 64–11 (1995)

    Google Scholar 

  39. Varma, C.M., Zawadowski, A.: Phys. Rev. B 32, 73–99 (1985)

    Article  Google Scholar 

  40. Lin, Y.-C., et al.: Prog. Theor. Phys. Supp. 138, 479 (2000)

    Article  ADS  Google Scholar 

  41. Nozieeres, Ph.: Phys, Eur. J. B 48, 10–320 (1998)

    Google Scholar 

  42. Tahvildar-Zadeh, A.N., Jarrell, M., Freericks, J.K.: Phys. Rev. Lett. 80, 51–68 (1998)

    Article  Google Scholar 

  43. Gulacsi, M., Bedell, K.S.: Phys. Rev. Lett 72, 27–65 (1994)

    Article  Google Scholar 

  44. Gulacsi, Z., Gulacsi, M.: Phys. Rev. B 36, 699 (1987)

    Article  ADS  Google Scholar 

  45. Gulacsi, Z., Gulacsi, M., Pop, I.: Phys. Rev. B 37, 22–47 (1988)

    Article  Google Scholar 

  46. Gulacsi, Z., Gulacsi, M.: Phys. Rev. Lett 73, 32–39 (1994)

    Article  Google Scholar 

  47. Gulacsi, Z., Gulacsi, M.: J. Phys. A 19, 21–23 (1986)

    Article  MathSciNet  Google Scholar 

  48. Gulacsi, M., Gulacsi, Z.: Phys. Rev. B 33, 34–83 (1986)

    Google Scholar 

  49. Yamada, K., Yosida, K.: Ground State of the Periodic Anderson model, in Theory of Heavy Fermions and Valence Fluctuations. In: Kasuya, T., Saso, T (eds.) (1985)

  50. Metzner, W., Vollhardt, D.: Phys. Rev. Lett. 59, 121 (1987)

    Article  ADS  Google Scholar 

  51. Metzner, W., Vollhardt, D.: Phys. Rev. B 37, 73–82 (1988)

    Article  MathSciNet  Google Scholar 

  52. Gulacsi, Z., Gulacsi, M.: Phys. Rev. B 44, 14–75 (1991)

    Article  Google Scholar 

  53. Gulacsi, Z., Gulacsi, M.: Phil. Mag. B 69, 437 (1994)

    Article  ADS  Google Scholar 

  54. Gulacsi, Z., Gulacsi, M., Janko, B.: Phys. Rev. B 47, 41–68 (1993)

    Google Scholar 

  55. Meyer, D., Nolting, W.: Eur. Phys. J. B 18, 385 (2000)

    Article  ADS  Google Scholar 

  56. Liu, Y., Zhang, G.-M., Yu, L.: Phys. Rev. B 87, 134–409 (2013)

    Google Scholar 

  57. Golez, D., Zitko, R.: Phys. Rev. B 88, 054–431 (2013)

    Article  Google Scholar 

  58. Orlik, I., Gulacsi, Z.: Phil. Mag. B 81, 15–87 (2001)

    Article  Google Scholar 

  59. Gurin, P., Gulacsi, Z.: Phys. Rev. B 64, 045–118 (2001)

    Article  Google Scholar 

  60. Gulacsi, Z., Gulacsi, M.: Phys. Rev. B 73, 014–524 (2006)

    Article  Google Scholar 

  61. Gulacsi, Z., Vollhardt, D.: Phys. Rev. Lett. 91, 186–401 (2003)

    Article  Google Scholar 

  62. Gulacsi, Z., Vollhardt, D.: Phys. Rev. B 72, 075–130 (2005)

    Article  Google Scholar 

Download references

Acknowledgments

This research was realized in the frames of TAMOP 4.2.4. A/2-11-1-2012-0001 “National Excellence Program - Elaborating and operating an inland student and researcher personal support system”. The project was subsidized by the European Union and co-financed by the European Social Fund.

Author information

Authors and Affiliations

  1. Max Planck Institute for the Physics of Complex Systems, 01187, Dresden, Germany

    M. Gulacsi

  2. Department of Theoretical Physics, University of Debrecen, 4010, Debrecen, Hungary

    M. Gulacsi

Authors
  1. M. Gulacsi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Gulacsi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gulacsi, M. Pseudospin Exchange in Rare Earth Alloys. J Supercond Nov Magn 27, 2585–2594 (2014). https://doi.org/10.1007/s10948-014-2627-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-014-2627-8

Keywords

Search

Navigation