Magnetotransport in a two-dimensional electron gas at large filling factors

Abstract

We derive the quantum Boltzmann equation for the two-dimensional electron gas in a magnetic field such that the filling factor ν ≫ 1. This equation describes all of the effects of the external fields on the impurity collision integral including Shubnikov-de Haas oscillations, smooth part of the magnetoresistance, and non-linear transport. Furthermore, we obtain quantitative results for the effect of the external microwave radiation on the linear and non-linear dc transport in the system. Our findings are relevant for the description of the oscillating resistivity discovered by Zudov et al., zero-resistance state discovered by Mani et al. and Zudov et al., and for the microscopic justification of the model of Andreev et al.. We also present semiclassical picture for the qualitative consideration of the effects of the applied field on the collision integral.

Zero-Differential Resistance State of Two-Dimensional Electron Systems in Strong Magnetic Fields

“…[3,4,5,6] This so-called zero resistance state (ZRS) has stimulated extensive theoretical interest. [7,8,9,10,11,12] At higher magnetic field ω c > ω a considerable decrease of magnetoresistance with microwave power is found [2,5,6] which has been attributed to intra-Landau-level transitions. [13] Another interesting nonlinear phenomena have been observed in response to DC electric field.…”

“…The domain velocity is determined by the I-V characteristic and may depend on the applied bias. A possible 2D current distribution has been considered recently [11]. In the proposed picture the electric current (and the Hall electric field) becomes to be bistable.…”

“…There are several theoretical proposals [7,11,22,23,24], which have analyzed the stability of non-equilibrium 2D electron systems in magnetic field. In this paper we use the approach developed in the article [7].…”

Zero‐resistance states induced by bichromatic microwaves

“…Despite the large amount of theoretical work 4,5,6,7,8,9,12 the origin of ZRS remains elusive. Nevertheless most theories agree that some mechanism produces negative-resistance states (NRS) that rapidly drive the system into a ZRS due to Andreev's instabilities 12 .…”

“…Nevertheless most theories agree that some mechanism produces negative-resistance states (NRS) that rapidly drive the system into a ZRS due to Andreev's instabilities 12 . Some of the models 4,5,8 suggest that the main cause of NRS is photon-assisted scattering by impurities or disorder. Alternative explanations 9 propose that NRS arise from MW induced distribution function fluctuations.…”