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VOLUME 79 (2004) | ISSUE 4 | PAGE 218
Anti-crossing phenomena in a resonator with 2D electrons on liquid helium
PACS: 67.70.+n, 72.10.-d, 72.60.+g, 73.50.-h
Abstract
We have investigated the details of the eigenmode for a resonator containing a two-dimensional electron system (2DES), formed on the surface of liquid helium. We show that anti-crossing phenomena occur near the crossing point ω0 = ωc, where ω0 is the eigenmode of the resonator and ωc is the cyclotron frequency. The structure of the coupling constant is established. It is a flexible parameter, i.e., sensitive especially to magnetic field and electron density. A finite coupling leads to a perturbation, δω, of the eigenmode of the resonator in presence of the 2DES. Corresponding calculations and measurements of δω are presented. The theory fits the experimental data. The influence of anti-crossing on the cyclotron resonance absorption line-shape is demonstrated.