On the Theory of Magnetotransport in a Periodically Modulated Two-Dimensional Electron Gas

Details On the Theory of Magnetotransport in a Periodically Modulated Two-Dimensional Electron Gas On the Theory of Magnetotransport in a Periodically Modulated Two-Dimensional Electron Gas

2002-03-08

arxiv.org/abs/cond-mat/0203179v2

Solid State Comm, v.128, 19-23 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 1 figure, text and 1 figure added

Scientific paper

10.1016/S0038-1098(03)00625-2

A semiclassical theory based on the Boltzmann transport equation for a two-dimensional electron gas modulated along one direction with weak electrostatic or magnetic modulations is proposed. It is shown that oscillations of the magnetoresistivity $ \rho_{||} $ corresponding to the current driven along the modulation lines observed at moderately low magnetic fields, can be explained as classical geometric resonances reflecting the commensurability of the period of spatial modulations and the cyclotron radius of electrons.

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