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28 March 2024
 
  » arxiv » cond-mat/0008356

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Nonlinearity of Acoustic Effects and High-Frequency Electrical Conductivity in GaAs/AlGaAs Heterostructures under Conditions of the Integer Quantum Hall Effect
I. L. Drichko ; A. M. Diakonov ; I. Yu. Smirnov ; A. I. Toropov ;
Date 24 Aug 2000
Journal Semiconductors 34, 436 (2000)
Subject Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall
Affiliationa), A. M. Diakonov (a), I. Yu. Smirnov (a), and A. I. Toropov (b) (a - A.F.Ioffe PTI of RAS, b - SPI of SD RAS
AbstractThe absorption coefficient for surface acoustic wave $Gamma$ and variation in the wave velocity $Delta V/V$ were measured in GaAs/AlGaAs heterostructures; the above quantities are related to interaction of the wave with two-dimensional electron gas and depend nonlinearly on the power of the wave. Measurements were performed under conditions of the integer quantum Hall effect (IQHE), in which case the two-dimensional electron gas was localized in a random fluctuation potential of impurities. The dependences of the components $sigma_1(E)$ and $sigma_2(E)$ of high-frequency conductivity $sigma=sigma_1 - isigma_2$ on the electric field of the surface wave were determined. In the range of the conductivity obeying the Arrhenius law ($sigma_1 gg sigma_2$), the results obtained are interpreted in terms of the Shklovskii theory of nonlinear percolation-based conductivity, which makes it possible to estimate the magnitude of the fluctuation potential of impurities. The dependences $sigma_1(E)$ and $sigma_2(E)$ in the range of high-frequency hopping electrical conductivity, in which case ($sigma_1 ll sigma_2$) and the theory of nonlinearities has not been yet developed, are reported.
Source arXiv, cond-mat/0008356
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