We report the first direct experimental evidence for the inversion-asymmetry splitting of the conduction band of InSb. Band-structure information and deformation potentials are obtained from Shubnikov-de Haas measurements by comparison with a theoretical model.In this Letter we show that a study of the Shubnikov-de Haas (SdH) effect under uniaxial stress is an extremely valuable tool for determining band-structure information and deformation potentials of semiconductors. The significance of this technique is demonstrated by the analysis of experiments on n-type InSb.Previous SdH and de Haas-van Alphen studies 1 " 8 of w-InSb have shown no indications of beating effects, even though the theoretical existence of the inversion-asymmetry splitting is well known. 9 " 11 Previously, a beat frequency in the SdH oscillations has only been seen in the semiconductors HgSe 12 " 15 and GaSb. 16 ' 17 The studies on these materials enabled values of the inversion-asymmetry splitting of the conduction bands to be estimated. In this work we report the observation of stress-induced beating effects in the SdH oscillations of tt-type InSb that are caused by the conduction-band inversion-asymmetry splitting. By comparing the beating-effect data with the E-versus-^ theories containing the effects of uniaxial stress, we find the first values of the inversionasymmetry splitting for the conduction band in InSb.The theoretical work of Bir and Pikus 18 showed that the conduction band of InSb-type semiconductors should become anisotropic under the application of uniaxial stress. However, until the present time, no direct experimental proof for this anisotropy has been given for any semiconductor. In this paper unambiguous evidence is presented that the conduction band of InSb becomes anisotropic with the application of uniaxial stress. This anisotropy was investigated by using the SdH frequencies to monitor the changes with stress in the extremal cross-sectional areas of the Fermi surfaces. In addition, the anisotropy of the conduction band is shown to be directly related to the valence-band deformation potentials b and d, thus permitting their direct extraction from the data.The SdH measurements were carried out on a sample having an electron concentration of ~2 xlO 17 cm" 3 . Magnetic field modulation and phasesensitive detection techniques were used to observe the oscillatory magnetoresistance. Figure 1 shows data which illustrate the emergence of the beating effects for BII [001] as compressive uniaxial stress is applied along a [110] crystallographic direction. Beating effects are also observable for Bll[lTl], but at higher stress values than for B II [001], No beating effects could be observed up to 4 kbar for B ll[lT0]. The interpretation of these beating effects is discussed below.10 B(kG) FIG. 1. Reproduction of x-y recorder traces of the SdH oscillations taken at 1.3 K while detecting at the second harmonic of the modulation frequency and for BII [001]. The stress a is given in units of kilobars. The arrows show the approximate...
The isothermal magnetoresistivity and Hall resistivity in a monocrystal of arsenic have been studied at temperatures of liquid helium in fields up to 25 kG. All measurements were taken in the basal plane of the crystal with magnetic field perpendicular to the plane and parallel to the trigonal axis. The binary axis was in the basal plane and parallel to the long dimension of the crystal. The magnetoconductivity tensor element
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