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.
Similar content being viewed by others
References
R. W. Stark and L. M. Falicov, Progr. Low Temp. Phys. 5, 235 (1967).
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.
R. J. Balcombe and R. A. Parker, Phil. Mag. 21, 533 (1970).
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)].
W. Kesternich and C. Papastaikoudis, J. Phys. F: Metal Phys. 7, 837 (1977).
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)].
H. Hosoda, Y. Ueda, amd T. Kino, J. Phys. Soc. Jpn. 56, 2858 (1987).
G. G. Lonzarich and P. M. Holtham, Proc. R. Soc. Lond. A 400, 145 (1985).
Yu. N. Proshin and N. Kh. Useinov, Usp. Fiz. Nauk 165, 41 (1995).
F. Beuneu, J. Phys. F: Metal Phys. 10, 2875 (1980).
Yu. N. Proshin and H. Kh. Useinov, Zh. Éksp. Teor. Fiz. 100, 1088 (1991) [Sov. Phys. JETP 73, 602 (1991)].
D. Shoenberg, Magnetic Oscillations in Metals, Cambridge University Press, N. Y. (1984)
Yu. N. Proshin and N. H. Useinov, Phys. Stat. Sol. B 166, 173 (1991).
I. M. Lifshitz, M. Ya. Azbel’, and M. I. Kaganov, Electron Theory of Metals, Consultants Bureau, N. Y. (1973).
A. A. Abrikosov, Fundamentals of the Theory of Metals, North-Holland, Amsterdam (1988).
R. D. Barnard and A. E. E. Abdel Rahiem, J. Phys. F: Metal Phys. 10, 2739 (1980).
R. Lück, Phys. Stat. Sol. 18, 49 (1966).
J. Feder and J. Lothe, Phil. Mag. 12, 107 (1965).
Author information
Authors and Affiliations
Additional information
Zh. Éksp. Teor. Fiz. 111, 1651–1666 (May 1997)
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.558229