Skip to main content
Log in

Spin liquid in an almost ferromagnetic Kondo lattice

  • Solids
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

An Erratum to this article was published on 01 December 1997

Abstract

A theory of stabilization of a spin liquid in a Kondo lattice at temperatures close to the temperature of antiferromagnetic instability has been developed. Kondo exchange scattering of conduction electrons leads to emergence of a state of the spin liquid of the resonating valence bonds (RVB) type at T>T K. Owing to this stabilization, low-energy processes of Kondo scattering with energies below T K are frozen so that the “singlet” state of the Kondo lattice is not realized; instead a strongly correlated spin liquid with developed antiferromagnetic fluctuations occurs. A new version of the Feynman diagram technique has been developed to describe interaction between spin fluctuations and resonant valence bonds in a self-consistent manner. Emergence of a strongly anisotropic RVB spin liquid is discussed.

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. G. Zwicknagl, Adv. Phys. 41, 203 (1992).

    Article  ADS  Google Scholar 

  2. A. C. Hewson, The Kondo Problem to Heavy Fermions, Cambridge University Press, Cambridge (1993).

    Google Scholar 

  3. S. Doniach, Physica B 91, 231 (1977).

    Google Scholar 

  4. F. J. Ohkawa, Prog. Theor. Phys. Suppl. No. 108, 209 (1992).

  5. Y. Kuramoto and K. Miyake, Prog. Theor. Phys. Suppl. No. 108, 199 (1992).

  6. P. Coleman and N. Andrei, J. Phys.: Condens. Matter 1, 4057 (1989).

    Article  ADS  Google Scholar 

  7. J. A. Millis and P. A. Lee, Phys. Rev. B 35, 3394 (1987).

    ADS  Google Scholar 

  8. Yu. Kagan, K. A. Kikoin, and N. V. Prokof’ev, Physica B 182, 201 (1992).

    Article  ADS  Google Scholar 

  9. J. Gan, P. Coleman, and N. Andrei, Phys. Lett. 68, 3476 (1992).

    Article  Google Scholar 

  10. A. A. Abrikosov, Physics 2, 21 (1965).

    Google Scholar 

  11. I. Affleck and J. B. Marston, Phys. Rev. B 37, 3774 (1988).

    ADS  Google Scholar 

  12. I. Affleck, Z. Zou, T. Hsu, and P. W. Anderson, Phys. Rev. B 38, 745 (1988).

    Article  ADS  Google Scholar 

  13. L. B. Ioffe and A. I. Larkin, Phys. Rev. B 39, 8988 (1989).

    Article  ADS  Google Scholar 

  14. P. A. Lee and N. Nagaosa, Phys. Rev. B 46, 5621 (1992).

    ADS  Google Scholar 

  15. S. Elitzur, Phys. Rev. D 12, 3978 (1975).

    Article  ADS  Google Scholar 

  16. G. Baskaran, Z. Zou, and P. W. Anderson, Solid State Commun. 63, 973 (1987).

    Article  Google Scholar 

  17. A. Ruckenstein, P. Hirschfeld, and J. Appel, Phys. Rev. B 36, 857 (1987).

    Article  ADS  Google Scholar 

  18. K. A. Kikoin, M. N. Kiselev, and A. S. Mishchenko, JETP Lett. 60, 358 (1994).

    Google Scholar 

  19. Yu. A. Izyumov and Yu. N. Skryabin, Statistical Mechanics of Magnetically Ordered Systems [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  20. V. G. Bar’yakhtar, V. N. Krivoruchko, and D. A. Yablonskii, Green’s Functions in the Theory of Magnetism [in Russian], Naukova Dumka, Kiev (1984).

    Google Scholar 

  21. H. Keiter and G. Morandi, Phys. Rep. 109, 227 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  22. F. Onufrieva and J. Rossat-Mignod, Phys. Rev. B 52, 7572 (1995).

    Article  ADS  Google Scholar 

  23. D. C. Mattis, The Theory of Magnetism, Harper and Row, New York (1965).

    Google Scholar 

  24. W. W. Lewis and R. B. Stinchcombe, Proc. Phys. Soc. London 92, 1002 (1967).

    Google Scholar 

  25. S. E. Barnes, J. Phys. F 6, 1375 (1976).

    ADS  MathSciNet  Google Scholar 

  26. G. Kotliar and A. E. Ruckenstein, Phys. Rev. Lett. 5, 1362 (1986).

    ADS  MathSciNet  Google Scholar 

  27. P. Coleman, E. Miranda, and A. M. Tsvelik, Phys. Rev. Lett. 70, 2960 (1993).

    Article  ADS  Google Scholar 

  28. X.-G. Wen and P. A. Lee, Phys. Rev. Lett. 76, 503 (1996).

    ADS  Google Scholar 

  29. Y. Ono, T. Matsuura, and Y. Kuroda, Physica C 159, 878 (1989).

    ADS  Google Scholar 

  30. J. Hubbard, Proc. R. Soc. London, Ser. A 285, 542 (1965).

    ADS  MathSciNet  Google Scholar 

  31. R. O. Zaitsev, Zh. Éksp Teor. Fiz. 70, 1100 (1976) [Sov. Phys. JETP 43, 574 (1976)].

    Google Scholar 

  32. T. Yanagisawa, Phys. Rev. B 40, 6666 (1989).

    Article  ADS  Google Scholar 

  33. J. Brinckmann, Europhys. Lett. 28, 187 (1994).

    Google Scholar 

  34. A. I. Larkin, Zh. Éksp. Teor. Fiz. 37, 264 (1960) [Sov. Phys. JETP 10, 186 (1960)].

    Google Scholar 

  35. K. Kuboku, J. Phys. Soc. Jpn. 62, 420 (1993).

    Google Scholar 

  36. C. Mudry and E. Fradkin, Phys. Rev. B 49, 5200 (1994).

    Article  ADS  Google Scholar 

  37. D. R. Grempel and M. Lavagna, Solid State Commun. 83, 595 (1992).

    Article  Google Scholar 

  38. T. Tanamoto, H. Kohno, and H. Fukuyama, J. Phys. Soc. Jpn. 62, 617 (1993).

    Google Scholar 

  39. I. S. Sandalov and M. Richter, Phys. Rev. B 50, 12855 (1994).

    Google Scholar 

  40. P. W. Anderson, Mater. Res. Bull. 8, 153 (1973).

    Article  Google Scholar 

  41. C. M. Varma, in Theory of Heavy Fermions and Valence Fluctuations, Springer Series in Solid-State Sciences, T. Kasuya and T. Saso (eds.), Vol. 62, Springer-Verlag, Berlin (1985), p. 277.

    Google Scholar 

  42. K. Yosida and A. Okiji, Prog. Theor. Phys. 34, 505 (1965).

    Article  ADS  Google Scholar 

  43. A. A. Abrikosov and A. A. Migdal, J. Low Temp. Phys. 3, 519 (1970).

    Article  Google Scholar 

  44. A. M. Tsvelik and P. B. Wiegmann, Adv. Phys. 32, 453 (1983).

    ADS  Google Scholar 

  45. K. Miura, T. Ono, and K. Kuboku, Physica C 179, 411 (1991).

    Article  ADS  Google Scholar 

  46. F. Nozieires, Ann. de Phys. 10, 1 (1985).

    Google Scholar 

  47. K. A. Kikoin, J. Phys.: Condens. Matter 8, 3601 (1996).

    Article  ADS  Google Scholar 

  48. A. Chubukov, Phys. Rev. B 44, 392 (1991).

    ADS  Google Scholar 

  49. B. I. Halperin and P. C. Hohenberg, Rev. Mod. Phys. 49, 435 (1977).

    ADS  Google Scholar 

  50. S. Chakraverty, B. I. Halperin, and D. Nelson, Phys. Rev. B 39, 2344 (1989).

    ADS  Google Scholar 

  51. S. V. Maleyev, Sov. Sci. Rev. A, I. M. Khalatnikov (ed.), Harwood Press, New York (1987), Vol. 8, p. 323.

    Google Scholar 

  52. K. A. Kikoin, M. N. Kiselev, and A. S. Mishchenko, E-prints archive, Cond-Matt/96 08 121.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Zh. Éksp. Teor. Fiz. 112, 729–759 (August 1997)

An erratum to this article is available at http://dx.doi.org/10.1134/1.558429.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kikoin, K.A., Kiselev, M.N. & Mishchenko, A.S. Spin liquid in an almost ferromagnetic Kondo lattice. J. Exp. Theor. Phys. 85, 399–414 (1997). https://doi.org/10.1134/1.558374

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.558374

Keywords

Navigation