CONDENSED MATTER

Anti-crossing phenomena in a resonator with 2D electrons on liquid helium

J. Klier^a, A. Würl^a, V. Shikin<sup>b

a</sup> Fakultät für Physik, Universität Konstanz, 78457 Konstanz, Germany
^b Institute of Solid State Physics RAS, 142432 Chernogolovka, Moscow District, Russia

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 $\omega_0 = \omega_c$, where $\omega_0$ is the eigenmode of the resonator and $\omega_c$ 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, $\delta\omega$, of the eigenmode of the resonator in presence of the 2DES. Corresponding calculations and measurements of $\delta\omega$ are presented. The theory fits the experimental data. The influence of anti-crossing on the cyclotron resonance absorption line-shape is demonstrated.

PACS: 67.70.+n, 72.10.-d, 72.60.+g, 73.50.-h

Received: 22.01.2004

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2004, 79:4, 183–187

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