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We present calculations on the magnetocapacitance of the two-dimensionalelectron gas in a lateral semiconductor superlattice under two-dimensional weakperiodic potential modulation in the presence of a perpendicular magneticfield. Adopting a Gaussian broadening of magnetic-field-dependent width in thedensity of states, we present explicit and simple expressions for themagnetocapacitance, valid for the relevant weak magnetic fields and modulationstrengths. As the modulation strength in both directions increase, beats of themagnetocapacitance oscillations are observed, in the low magnetic field range(Weiss-oscillations regime), which are absent in the one-dimensional weakmodulation case.

Beats of the Magnetocapacitance Oscillations in Lateral Semiconductor Superlattices