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Theory of magnetic-breakdown oscillations of the galvanomagnetic properties of aluminum taking account of the spin of the conduction electrons

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Abstract

The theory of magnetic breakdown, taking account of the spin of the conduction electrons, is used to calculate the galvanomagnetic properties of aluminum, where the system of electron trajectories in a magnetic field contains small β orbits. Expressions are obtained for the magnetoresistance and Hall resistance in the case of a two-dimensional magnetic-breakdown network of trajectories on the basis of stochastic electron motion on large orbits and coherent electron motion on the β orbits. Qualitative agreement is obtained with the existing experimental data.

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References

  1. R. W. Stark and L. M. Falicov, Progr. Low Temp. Phys. 5, 235 (1967).

    Google Scholar 

  2. M. I. Kaganov and A. A. Slutskin in Conduction Electrons [in Russian], Nauka, Moscow (1985), p. 101; N. E. Alekseevskii and V. I. Nizhankovskii, ibid., p. 197.

    Google Scholar 

  3. R. J. Balcombe and R. A. Parker, Phil. Mag. 21, 533 (1970).

    Google Scholar 

  4. V. N. Morgun, V. I. Khorkevich, N. N. Chebotaev, and V. A. Bondar’, Fiz. Nizk. Temp. 7, 1301 (1976) [Sov. J.Low Temp. Phys. 7, 634 (1976)].

    Google Scholar 

  5. W. Kesternich and C. Papastaikoudis, J. Phys. F: Metal Phys. 7, 837 (1977).

    Article  ADS  Google Scholar 

  6. V. I. Gostishchev, M. A. Glin’skii, A. A. Drozd, and S. E. Dem’yanov, Zh. Éksp. Teor. Fiz. 74, 1102 (1978) [Sov. Phys. JETP 47, 579 (1978)].

    Google Scholar 

  7. H. Hosoda, Y. Ueda, amd T. Kino, J. Phys. Soc. Jpn. 56, 2858 (1987).

    Article  Google Scholar 

  8. G. G. Lonzarich and P. M. Holtham, Proc. R. Soc. Lond. A 400, 145 (1985).

    ADS  Google Scholar 

  9. Yu. N. Proshin and N. Kh. Useinov, Usp. Fiz. Nauk 165, 41 (1995).

    Google Scholar 

  10. F. Beuneu, J. Phys. F: Metal Phys. 10, 2875 (1980).

    Article  ADS  Google Scholar 

  11. Yu. N. Proshin and H. Kh. Useinov, Zh. Éksp. Teor. Fiz. 100, 1088 (1991) [Sov. Phys. JETP 73, 602 (1991)].

    Google Scholar 

  12. D. Shoenberg, Magnetic Oscillations in Metals, Cambridge University Press, N. Y. (1984)

    Google Scholar 

  13. Yu. N. Proshin and N. H. Useinov, Phys. Stat. Sol. B 166, 173 (1991).

    Google Scholar 

  14. I. M. Lifshitz, M. Ya. Azbel’, and M. I. Kaganov, Electron Theory of Metals, Consultants Bureau, N. Y. (1973).

    Google Scholar 

  15. A. A. Abrikosov, Fundamentals of the Theory of Metals, North-Holland, Amsterdam (1988).

    Google Scholar 

  16. R. D. Barnard and A. E. E. Abdel Rahiem, J. Phys. F: Metal Phys. 10, 2739 (1980).

    ADS  Google Scholar 

  17. R. Lück, Phys. Stat. Sol. 18, 49 (1966).

    Google Scholar 

  18. J. Feder and J. Lothe, Phil. Mag. 12, 107 (1965).

    Google Scholar 

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Zh. Éksp. Teor. Fiz. 111, 1651–1666 (May 1997)

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Useinov, N.K. Theory of magnetic-breakdown oscillations of the galvanomagnetic properties of aluminum taking account of the spin of the conduction electrons. J. Exp. Theor. Phys. 84, 903–911 (1997). https://doi.org/10.1134/1.558229

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  • DOI: https://doi.org/10.1134/1.558229

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