Beats of the Magnetocapacitance Oscillations in Lateral Semiconductor Superlattices

Details Beats of the Magnetocapacitance Oscillations in Lateral Semiconductor Superlattices Beats of the Magnetocapacitance Oscillations in Lateral Semiconductor Superlattices

2007-05-19

arxiv.org/abs/0705.2837v1

Mod. Phys. Lett. B, Vol. 21, No. 17 (2007) 1041-1050

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 7 figures, accepted by Mod. Phys. Lett. B (March 2007)

Scientific paper

10.1142/S0217984907013523

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

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