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Observation of the Shubnikov–de Haas effect in thin bismuth films

Yu. F. KomnikPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kovВ. В. АндриевскииPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kovА. В. БутенкоPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kov
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Through recording of the derivative ∂R/∂H as a function of the magnetic field intensity H over the 0–50 kOe range at 4.2 °K in epitaxial 1300–4000-Å-thick bismuth films, it was possible to detect Shubnikov-de Haas oscillations corresponding to magnetic quantization in the hole band. Large-amplitude Shubnikov-de Haas oscillations were observed in the field dependence of the derivative ∂VH/∂H and of the Hall component VH+,VH− itself directly, which has been found to be another manifestation of magnetic quantization in the hole band. The period of all observed Δ(H−1) oscillations was found to vary appreciably with varying film thickness L, namely to decrease from ∼3 · 10−5 Oe−1 at the maximum thickness to 1.8 · 10−5 Oe −1 at 1500 Å, while remaining larger than the corresponding known period (1.6 · 10−5 Oe−1) for holes in a pure bulk bismuth crystal with an analogous orientation of the crystallographic axes. The decrease of the Δ(H−1) period with decreasing film thickness L corresponds to the result, obtained earlier with with the aid of measurements of kinetic characteristics of a bismuth film, that indicates an increase in the concentrations of both types of charge carriers with a decrease in the bismuth film thickness, and is explainable on the basis of the model of a nonuniform film potential.

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