Geometric resonances of two-dimensional magnetoplasmons

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Abstract
Geometric resonances in the two-dimensional magnetoplasmon excitation are calculated in the framework of classical kinetic theory for arbitrary values of k nu F/ omega c and finite values of the scattering time tau (k=plasmon wavevector, nu F=Fermi velocity omega c=(e/cm) B=cyclotron frequency). The geometric resonances lead to an oscillatory behaviour of the magnetoplasmon resonance amplitude and dispersion correlated with subharmonic fields Bc/n (n=2, 3, . . .). Calculations are compared with magnetoplasmon resonance experiments in electron inversion layers of Si and the possibility of geometric resonances in single quantum well systems of GaAs-AlGaAs heterostructures is discussed.