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Spin-orbit interaction and two-dimensional weak localization in a carbon matrix with cobalt nanoclusters

  • Low-Dimensional Systems and Surface Physics
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Abstract

The magnetic-field dependence of the magnetoresistive effect in carbon fibers that contain cobalt nanoclusters and exhibit effects of weak localization at low temperatures (T < 45 K) is investigated on the metal side of the dielectric-metal transition. The carbon fibers are prepared by heat treatment of carboxylated cellulose after the substitution of cobalt cations for protons of COOH groups. It is found that, under conditions of two-dimensional weak localization at temperatures below 10 K, the carbon fibers possess an alternating magnetoresistance due to spin-orbit scattering of electrons by cobalt nanoclusters. The time of phase breaking of the wave function and the time of spin-orbit scattering are determined from a comparison of the experimental and theoretical magnetic-field dependences of the electrical resistance.

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References

  1. E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979).

    Article  ADS  Google Scholar 

  2. P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).

    Article  ADS  Google Scholar 

  3. B. L. Al’tshuler and A. G. Aronov, Zh. Éksp. Teor. Fiz. 77, 2028 (1979) [Sov. Phys. JETP 50, 968 (1979)].

    ADS  Google Scholar 

  4. B. L. Altshuler, A. G. Aronov, and P. A. Lee, Phys. Rev. Lett. 44, 1288 (1980).

    Article  ADS  Google Scholar 

  5. G. Bergman, Phys. Rep. 107, 1 (1984).

    ADS  MathSciNet  Google Scholar 

  6. D. A. Poole, M. Pepper, and A. Hughes, J. Phys. C 15, L1137 (1982).

  7. T. A. Polyanskaya and Yu. V. Shmartsev, Fiz. Tekh. Poluprovodn. (Leningrad) 23(1), 3 (1989) [Sov. Phys. Semicond. 23, 1 (1989)].

    Google Scholar 

  8. V. Boyot, L. Piraux, and J. P. Issi, Phys. Rev. B 41, 11770 (1990).

  9. I. A. Bashmakov, V. A. Dorosinez, M. G. Lukashevich, A. A. Mazanik, and T. F. Tihonova, J. Mater. Res. 16, 2832 (2001).

    ADS  Google Scholar 

  10. I. N. Ermolenko, I. P. Lyubliner, and N. V. Gul’ko, Element-Containing Coal Fibrous Materials (Nauka i Tekhnika, Minsk, 1982) [in Russian].

    Google Scholar 

  11. I. A. Bashmakov, V. A. Dorosinets, M. G. Lukashevich, A. A. Mazanik, T. F. Tikhonova, and D. A. Skripka, Fiz. Tverd. Tela (St. Petersburg) 44, 1614 (2002) [Phys. Solid State 44, 1689 (2002)].

    Google Scholar 

  12. A. Carl, G. Dumpich, and E. F. Wassermann, Phys. Rev. B 50, 4802 (1994).

    ADS  Google Scholar 

  13. D. L. Peng, K. Sumiyama, T. J. Konno, T. Hihara, and S. Yamamuro, Phys. Rev. B 60, 2093 (1999).

    Article  ADS  Google Scholar 

  14. S. Hikami, A. L. Larkin, and J. Nagajka, Prog. Theor. Phys. 63, 707 (1980).

    ADS  Google Scholar 

  15. J. Kondo, Prog. Theor. Phys. 32, 37 (1964).

    Article  ADS  Google Scholar 

  16. G. Du, V. N. Prigodin, A. Burns, J. Joo, C. S. Wang, and A. J. Epstein, Phys. Rev. B 58, 4485 (1998).

    Article  ADS  Google Scholar 

  17. A. A. Abrikosov and L. P. Gor’kov, Zh. Éksp. Teor. Fiz. 42, 1088 (1962) [Sov. Phys. JETP 15, 752 (1962)].

    Google Scholar 

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Translated from Fizika Tverdogo Tela, Vol. 47, No. 2, 2005, pp. 345–349.

Original Russian Text Copyright © 2005 by Buma\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\), Bashmakov, S. Lukashevich, Tikhonova, M. Lukashevich.

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Bumai, Y.A., Bashmakov, I.A., Lukashevich, S.M. et al. Spin-orbit interaction and two-dimensional weak localization in a carbon matrix with cobalt nanoclusters. Phys. Solid State 47, 357–361 (2005). https://doi.org/10.1134/1.1866419

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