Quantum and classical surface acoustic wave induced magnetoresistance oscillations in a 2D electron gas

Abstract

We study theoretically the geometrical and temporal commensurability oscillations induced in the resistivity of 2D electrons in a perpendicular magnetic field by surface acoustic waves (SAWs). We show that there is a positive anisotropic dynamical classical contribution and an isotropic non-equilibrium quantum contribution to the resistivity. We describe how the commensurability oscillations modulate the resonances in the SAW-induced resistivity at multiples of the cyclotron frequency. We study the effects of both short-range and long-range disorder on the resistivity corrections for both the classical and quantum non-equilibrium cases. We predict that the quantum correction will give rise to zero-resistance states with associated geometrical commensurability oscillations at large SAW amplitude for sufficiently large inelastic scattering times. These zero resistance states are qualitatively similar to those observed under microwave illumination, and their nature depends crucially on whether the disorder is short- or long-range. Finally, we discuss the implications of our results for current and future experiments on two dimensional electron gases.

arXiv comment16 pages, 8 figures

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Cited by in corpus (8)

• Nonequilibrium phenomena in high Landau levels
• Mechanisms of the microwave photoconductivity in 2D electron systems with mixed disorder
• Radiation-induced oscillatory-magnetoresistance in a tilted magnetic field in $GaAs/A{l}_{x}G{a}_{1-x}As$ devices
• Microwave photoconductivity of a 2D electron gas: Mechanisms and their interplay at high radiation power
• Theory of the microwave-induced photocurrent and photovoltage magnetooscillations in a spatially non-uniform 2D electron gas
• Sensitivity of the interlayer magnetoresistance of layered metals to intralayer anisotropies
• Microwave photoconductivity of a periodically modulated two-dimensional electron system: Striped states and overlapping Landau levels
• Radiation-assisted magnetotransport in two-dimensional electron gas systems: appearance of zero resistance states