Abstract
An analysis is made of ballistic electron transport in three-dimensional microconstrictions of elliptic cross section located in an arbitrarily oriented magnetic field. The model of a parabolic confinement potential is used to obtain and analyze the dependence of hybrid frequencies on the magnitude and direction of the magnetic field. An expansion of the conductance as a Fourier series is obtained and used to study Aharonov-Bohm and Shubnikov-de Haas oscillations as a function of the field and the stepped quantization structure of the conductance. A possible explanation is given for the experimentally observed effect of conductance quantization at fairly high temperatures.
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U. Landman, W. D. Luedtke, N. A. Burnham, and R. J. Colton, Science 248, 454 (1990).
E. N. Bogachek, A. M. Zagoskin, and I. O. Kulik, Fiz. Nizk. Temp. 16, 1404 (1990) [Sov. J. Low Temp. Phys. 16, 796 (1990)].
J. A. Torres, J. I. Pascual, and J. J. Sáenz, Phys. Rev. B 49, 16581 (1994).
E. N. Bogachek, M. Jonson, R. I. Shekhter, and T. Swahn, Phys. Rev. B 47, 16635 (1993); 50, 18341 (1994).
J. I. Pascual, J. Méndez, J. Gómez-Herrero, et al., Phys. Rev. Lett. 71, 1852 (1993).
J. I. Pascual, J. Méndez, J. Gómez-Herrero, et al., Science 267, 1793 (1995); J. Vac. Sci. Technol. B 13, 1280 (1995).
A. G. Scherbakov, E. N. Bogachek, and Uzi Landman, Phys. Rev. B 53, 4054 (1996).
L. Olesen, E. Laegsgaard, I. Stensgaard, et al., Phys. Rev. Lett. 72, 2251 (1994).
N. Agrait, J. G. Rodrigo, and S. Vieira, Phys. Rev. B 47, 12 345 (1993).
M. Buttiker, Phys. Rev. B 41, 7906 (1990).
M. Buttiker, Semicond. Semimet. 35, 19 (1992).
L. D. Landau and E. M. Lifshits, Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989, 4th ed.; Pergamon Press, Oxford, 1977, 3rd ed.).
V. A. Geyler and V. A. Margulis, Phys. Rev. B 55, 2543 (1997).
J. Williamson, Am. J. Math. 58, 141 (1936).
Q. P. Li, K. Karai, S. K. Yip, et al., Phys. Rev. B 43, 5151 (1991).
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series (Nauka, Moscow, 1981–1986; Gordon and Breach, New York, 1986–1989), Vols. 1–3.
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 117, No. 3, 2000, pp. 593–603.
Original Russian Text Copyright © 2000 by Galkin, Geyler, Margulis.
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Galkin, N.G., Geyler, V.A. & Margulis, V.A. Electron transport across a microconstriction in an arbitrarily oriented homogeneous magnetic field. J. Exp. Theor. Phys. 90, 517–526 (2000). https://doi.org/10.1134/1.559134
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DOI: https://doi.org/10.1134/1.559134