Cyclotron resonance in antidot arrays

Abstract

We study the dynamical properties of an electron gas scattered by impenetrable antidots in the presence of a strong magnetic field. We find that the lineshape of the cyclotron resonance is very different from the Lorentzian and is not characterized by the Drude scattering rate. We show that the dissipative dynamical response of skipping orbits, $S_c(\omega )$, is broadened on a scale of the cyclotron frequency ${\omega }_c$ and has a sharp dip $\propto |\omega -{\omega }_c|$. For small antidots, $S_c(\omega )$ is strongly modulated with a period equal to ${\omega }_c$ and has sharp square-root singularities for a series of resonant frequencies. For large antidots, $S_c(\omega )$ has a hard gap at $\omega <{\omega }_c$ between two sharp peaks, associated respectively with edge states and free cyclotron orbits.

9 pages, 4 figures

References in corpus (4)

• Quantum Transport in Semiconductor Nanostructures
• Quasiclassical negative magnetoresistance of a 2D electron gas: interplay of strong scatterers and smooth disorder
• Quasiclassical magnetotransport in a random array of antidots
• High Frequency Conductivity in the Quantum Hall Regime

Cited by in corpus (11)

• Nonequilibrium phenomena in high Landau levels
• Cyclotron resonance harmonics in the ac response of a 2D electron gas with smooth disorder
• Oscillatory ac- and photoconductivity of a 2D electron gas: Quasiclassical transport beyond the Boltzmann equation
• Anomalous Negative Magnetoresistance Caused by Non-Markovian Effects
• Non-Markovian Effects on the Two-Dimensional Magnetotransport: Low-field Anomaly in Magnetoresistance
• Magnetotransport of electrons in quantum Hall systems
• Classical memory effects on spin dynamics in two-dimensional systems
• Observation of High Harmonics of the Cyclotron Resonance in Microwave Transmission of a High-Mobility Two-Dimensional Electron System
• Sharp Magnetic Field Dependence of the 2D Hall Coefficient Induced by Classical Memory Effects
• Circular polarization immunity of the cyclotron resonance photoconductivity in two-dimensional electron systems
• Universality in scattering by large-scale potential fluctuations in two-dimensional conductors