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Persistent current induced by magnetic impurities

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Zeitschrift für Physik B Condensed Matter

Abstract

We calculate the average persistent current in a normal conducting, mesoscopic ring in the diffusive regime. In the presence of magnetic impurities, a contribution to the persistent current is identified, which is related to fluctuations in the electron spin density. Assuming a spin-flip scattering rate which is comparable to the Thouless energy E c and low temperature, this new contribution to the persistent current is of the order IE 2c (kTφ0), which is considerably larger than the persistent current induced by the electron-electron interaction.

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References

  1. L. P. Lévy, G. Dolan, J. Dunsmuir, H. Bouchiat, Phys. Rev. Lett. 64, 2074 (1990); L. P. Lévy, Physica B 169, 245 (1991)

  2. V. Chandrasekhar et al., Phys. Rev. Lett. 67, 3578 (1991)

  3. P. Mohanty, E. M. Q. Jariwala, M. B. Ketchen, R. A. Webb, in Quantum Coherence and Decoherence, p. 191. K. Fujikawa, Y. A. Ono (eds.) Amsterdam: Elsevier 1996

  4. D. Mailly, C. Chapelier, A. Benoit, Phys. Rev. Lett. 70, 2020 (1993)

  5. F. Hund, Ann. Phys. (Leipzig) 32, 102 (1938), ibid. 5, 1 (1996) (English translation)

  6. N. Byers, C. N. Yang, Phys. Rev. Lett. 7, 46 (1961)

    Google Scholar 

  7. M. Büttiker, Y. Imry, R. Landauer, Phys. Lett. 96A, 365 (1983)

  8. H. Bouchiat, G. Montambaux, J. Phys. (Paris) 50, 2695 (1989)

    Google Scholar 

  9. G. Montambaux, H. Bouchiat, D. Sigetti, R. Friesner, Phys. Rev. B 42, 7647 (1990)

    Google Scholar 

  10. H.-F. Cheung, E. K. Riedel, Y. Gefen, Phys. Rev. Lett. 62, 587 (1989)

    Google Scholar 

  11. A. Schmid, Phys. Rev. Lett. 66, 80 (1991)

    Google Scholar 

  12. F. von Oppen, E. Riedel, Phys. Rev. Lett. 66, 84 (1991)

    Google Scholar 

  13. B. L. Altshuler, Y. Gefen, Y. Imry, Phys. Rev. Lett. 66, 88 (1991)

    Google Scholar 

  14. V. Ambegaokar, U. Eckern, Phys. Rev. Lett. 65, 381 (1990)

    Google Scholar 

  15. U. Eckern, Z. Phys. B 82, 393 (1991)

    Google Scholar 

  16. P. Kopietz, Phys. Rev. Lett. 70, 3123 (1993), see also: G. Vignale, ibid. 72, 433 (1994); A. Altland, Y. Gefen, ibid. 72, 2973 (1994)

  17. U. Eckern, A. Schmid, Europhys. Lett. 18, 457 (1992)

    Google Scholar 

  18. U. Eckern, A. Schmid, Ann. Phys. (Leipzig) 2, 180 (1993)

    Google Scholar 

  19. R. A. Smith, V. Ambegaokar, Europhys. Lett. 20, 161 (1992)

    Google Scholar 

  20. M. Abraham, R. Berkovits, Phys. Rev. Lett. 70, 1509 (1993)

    Google Scholar 

  21. A. Müller-Groeling, H. A.Weidenmüller, Phys. Rev. B 49, 4752 (1994)

  22. H. Kato, D. Yoshioka, Phys. Rev. B 50, 4943 (1994)

    Google Scholar 

  23. T. Giamarchi, B. S. Shastry, Phys. Rev. B 51, 10915 (1995)

    Google Scholar 

  24. M. Ramin, B. Reulet, H. Bouchiat, Phys. Rev. B 51, 5882 (1995)

    Google Scholar 

  25. P. Schmitteckert, U. Eckern, Phys. Rev. B 53, 1539 (1996)

    Google Scholar 

  26. U. Eckern, P. Schwab, Adv. Phys. 44, 387 (1995)

    Google Scholar 

  27. B. L. Altshuler, A. G. Aronov, Solid State Commun. 38, 11 (1981)

  28. B. L. Altshuler, A. G. Aronov, in Electron-Electron Interactions in Disordered Systems, p. 1. A. L. Efros, M. Pollak (eds.) Amsterdam: North-Holland 1985

  29. U. Eckern, Phys. Scr. T 49, 338 (1993)

    Google Scholar 

  30. H. Yoshioka, H. Fukuyama, J. Phys. Soc. Jpn. 62, 612 (1993)

    Google Scholar 

  31. P. Schwab, U. Eckern, Ann. Phys. (Leipzig) 5, 57 (1996)

    Google Scholar 

  32. A. C. Hewson, The Kondo Problem to Heavy Fermions. Cambridge: Cambridge University Press 1993

  33. A. C. Hewson, Phys. Rev. Lett. 70, 4007 (1993)

    Google Scholar 

  34. B. L. Altshuler, A. G. Aronov, D. E. Khmelnitskii, A. F. Larkin, in Quantum Theory of Solids, p. 130. I. M. Lifshitz (ed.) Moscow: MIR Publishers 1980

  35. S. Hikami, A. I. Larkin, Y. Nagaoka, Prog. Theor. Phys. 63, 707 (1980)

    Google Scholar 

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Schwab, P., Eckern, U. Persistent current induced by magnetic impurities. Z. Phys. B - Condensed Matter 103, 97–103 (1997). https://doi.org/10.1007/s002570050341

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  • DOI: https://doi.org/10.1007/s002570050341

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