Parametric resonance of a two-dimensional electron gas under bichromatic irradiation

Abstract

In an ultrahigh mobility 2D electron gas, even a weak nonparabolicity of the electron dispersion, by violating Kohn's theorem, can have a drastic effect on dc magnetotransport under ac drive. We study theoretically the manifestation of this effect in the dc response to the combined action of two driving ac-fields (bichromatic irradiation). Compared to the case of monochromatic irradiation, which is currently intensively studied both experimentally and theoretically, the presence of a second microwave source provides additional insight into the properties of an ac-driven 2D electron gas. In particular, we find that nonparabolicity, being the simplest cause for a violation of Kohn's theorem, gives rise to new qualitative effects specific to bichromatic irradiation. Namely, when the frequencies ${\omega }_1$ and ${\omega }_2$ are well away from the cyclotron frequency, ${\omega }_c$, our simple classical considerations demonstrate that the system becomes parametrically unstable with respect to fluctuations with frequency $({\omega }_1+{\omega }_2)/2$. As an additional effect of nonparabolicity, this parametric instability can manifest itself in the dc properties of the system. This happens when ${\omega }_1$, ${\omega }_2$ and ${\omega }_c$ are related as 3:1:2, respectively. Even for weak detuning between ${\omega }_1$ and ${\omega }_2$, the effect of the bichromatic irradiation on the dc response in the presence of nonparabolicity can differ dramatically from the monochromatic case. In particular, the equations of motion can acquire multistable solutions. As a result, the diagonal dc-conductivity can assume several stable negative values at the same magnetic field.

11 pages, 10 figures

References in corpus (20)

• Evidence for a New Dissipationless Regime in 2D Electronic Transport
• Radiation-Induced Magnetoresistance Oscillations in a 2D Electron Gas
• Dynamical symmetry breaking as the origin of the zero-$dc$-resistance state in an $ac$-driven system
• Magnetotransport in two-dimensional electron gas at large filling factors
• Radiation-induced magnetoresistance oscillation in a two-dimensional electron gas in Faraday geometry
• Evidence for current flow anomalies in the irradiated 2D electron system at small magnetic fields
• Cyclotron resonance harmonics in the ac response of a 2D electron gas with smooth disorder
• Demonstration of a 1/4 cycle phase shift in the radiation-induced oscillatory-magnetoresistance in GaAs/AlGaAs devices
• Observation of Apparently Zero-Conductance States in Corbino Samples
• Giant magnetoresistance oscillations caused by cyclotron resonance harmonics
• Radiation-Induced "Zero-Resistance State" and the Photon Assisted Transport
• Radiation-induced oscillatory magnetoresistance as a sensitive probe of the zero-field spin splitting in high mobility GaAs/AlGaAs devices
• Radiation induced oscillatory Hall effect in high mobility GaAs/AlGaAs devices
• On the phase of oscillatory microwave photoresistance and zero-resistance states
• Microwave radiation induced magneto-oscillations in the longitudinal and transverse resistance of a two dimensional electron gas
• A classical model for the negative dc conductivity of ac-driven 2D electrons near the cyclotron resonance
• Absolute Negative Conductivity in Two-Dimensional Electron Systems Associated with Acoustic Scattering Stimulated by Microwave Radiation
• Microwave Photoconductivity in Two-Dimensional Electron Systems due to Photon-Assisted Interaction of Electrons with Leaky Interface Phonons
• Observation of a node in the quantum oscillations induced by microwave radiation
• Current-voltage characteristics and the zero-resistance state in a 2DEG

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• Radiation-induced oscillatory-magnetoresistance in a tilted magnetic field in $GaAs/A{l}_{x}G{a}_{1-x}As$ devices
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• Non-linear magnetotransport in microwave-illuminated two-dimensional electron systems
• Hall field-induced resistance oscillations in tilted magnetic fields
• Theory of the microwave-induced photocurrent and photovoltage magnetooscillations in a spatially non-uniform 2D electron gas
• Bernstein modes and giant microwave response of two-dimensional electron system
• Radiation-induced magnetoresistance oscillations in two-dimensional electron systems under bichromatic irradiation
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