Velocity fluctuations of a column of water streaming down a wire: the possibility of one-dimensional turbulence |
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Authors: | H. Kellay J. Rouch |
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Affiliation: | (1) CCAST (World Laboratory) P.O. Box 8730, Beijing 100080, China Institute of Physics, Academia Sinica, P.O. Box 603 No. 92, Beijing 100080, China, CN |
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Abstract: | In this paper we study the influence of the magneto-coupling effect between the longitudinal motion component and the transverse Landau orbits of an electron on transmission features in single barrier structures. Within the parabolic conduction-band approach, a modified one-dimensional effective-mass Schr?dinger equation, including the magneto-coupling effect generated from the position-dependent effective mass of the electron, is strictly derived. Numerical calculations for single barrier structures show that the magneto-coupling effect brings about a series of the important changes for the transmission probability, the above-barrier quasi-bound states, and the tunneling time. Through examining the variation of the above-barrier resonant-transmission spectrum with the barrier width and observing the well-defined Lorentzian line-shape of the above-barrier resonant peaks, we convincingly show that the above-barrier resonant transmission in single barrier structures is delivered by the above-barrier quasibound states in the barrier region, just as the below-barrier resonant tunneling in double barrier structures is mediated by the below-barrier quasi-bound states in the well. Furthermore, we come to the conclusion that the magneto-coupling effect brings about not only the splitting of the above-barrier quasi-bound levels but also the striking reduction of the level-width of the quasi-bound states, correspondingly, the substantial increase of the density of the quasi-bound states. We suggest that magneto-coupling effects may be observed by the measurements of the optical absorption spectrum associated with the above-barrier quasi-bound states in the single barrier structures. Received: 26 September 1997 / Revised: 26 November 1997 / Accepted: 15 December 1997 |
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Keywords: | PACS. 73.40.Lq Other semiconductor-to-semiconductor contacts p-n junctions and heterojunctions - 73.40.Gk Tunneling - 73.20.Dx Electron states in low-dimensional structures (superlattices quantum well structures and multilayers) |
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