Abstract
The current dependence of the chemical potential of a two dimensional electron gas in the quantum Hall effect regime is considered theoretically. It is shown that a new effect related with dissipationless flowing of the electric current can be interpreted as a Bernoulli effect of the incompressible superfluid. An experiment with a field effect transistor (FET) is proposed for the observation of this effect. The systematic investigation of the Bernoulli effect in FET can give a new low-frequency electronic method for determination of the effective mass of charge carriers. The analogy with the Bernoulli effect in superconductors is shortly analysed and an experiment how to measure the electric charge related with superconducting vortices is suggested.
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References
Klitzing v. K., Dorda G., and Pepper M. (1980)Phys. Rev. Lett.45, 494.
. The Quantum Hall Effectedited by Prange R.E. and Girvin S.M. (1987, Springer-Verlag, New York).
Klitzing v. K. (1981)Festkörperprobleme XXI(Friedr. Vieweg&Sohn, Muenchen), p.1.
Giancoli D.C. (1984)General Physics(Prentice-Hall, New York), Chap. 13.3, Figs. 13.6 and 13.12, Venturi and Pitot tubes.
Landau L.D., Lifshitz E.M. and Pitaevskii L.P. (1990)Course on Theoretical PhysicsVol. 3, QuantumMechanics (Pergamon, New York), Sec. 19, and Chap. XV, Sec. 112.
R.B. Laughlin R.B. (1981)Phys. Rev. B 235632; Galitzkii V.M., Karnakov B.M. and Kogan V.I. (1984)Problems on Quantum Mechanics,(Nauka, Moskow), problem 6.11. (in Russian).
Landau L.D., Lifshitz E.M. and Pitaevskii L.P. (1984)Course on Theoretical PhysicsVol. 8,Electrodynamics of Continuous Media6th ed. (Pergamon, New York), Sec. 1, Chap. III, Sec. 23.
Landau L.D., Lifshitz E.M. and Pitaevskii L.P. (1988)Course on Theoretical PhysicsVol. 6Hydrodynamics (Pergamon, New York).
Mishonov T.M. (1994)Phys. Rev. B 504009.
Landau L.D., Lifshitz E.M. and Pitaevskii L.P. (1979)Course on Theoretical Physics Vol. 9,Statistical PhysicsPart 2, (Pergamon, New York), Chap. V, Eq. (40.14).
Nizhankovskii V.I. and Zybsev S.G. (1994)Phys. Rev. B 501111.
London F. and London H. (1935)Proc. R. Soc. London Ser. A149, 71; (1935)Physica2, 341.
MacDonald A.H., Rice T.M. and Brinkman W.F. (1983)Phys. Rev. B28 3648.
Balaban N.Q., Meirav U., Shtrickman H., and Levinson Y. (1993)Phys. Rev. Lett.71, 1443.
Cage E., in Ref. 2, Sec. 2.12, and references therein.
Kouwenhoven L.P., van Wees B.J., van der Vaart N.C., Harmans C.J.P.M., Timmering C.E., and Foxon C.T. (1990)Phys. Rev. Lett.64, 685.
Watts J.P., Usher A., Matthews A.J., Zhu M., Elliot M., Herrenden-Harker W.G., Morris P.R., Simmons M.Y., and Ritchie D.A. (1998)Phys. Rev. Lett.81, 4220.
Takaoka S., Oto K., Kurimoto H., Murase K., Gamo K., and Nishi S. (1994)Phys. Rev. Lett.72, 3080.
Jain J.K. (1989)Phys. Rev. Lett. 63199.
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Mishonov, T., Nikolova, D., Kaloyanov, K., Klenov, S. (2001). Bernoulli Effect in the Quantum Hall Regime and Type-Ii Superconductors in Magnetic Field. In: Drechsler, SL., Mishonov, T. (eds) High-Tc Superconductors and Related Materials. NATO Science Series, vol 86. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0758-0_25
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DOI: https://doi.org/10.1007/978-94-010-0758-0_25
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