Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-05-20
Phys. Rev. B 69, 035303 (2004).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
28 pages, 19 figures; The discussion of the role of the effect of the microwave field on the distribution function is revised
Scientific paper
10.1103/PhysRevB.69.035303
We derive the quantum Boltzmann equation for the two-dimensional electron gas in a magnetic field such that the filling factor $\nu \gg 1$. This equation describes all of the effects of the external fields on the impurity collision integral including Shubnikov-de Haas oscillations, smooth part of the magnetoresistance, and non-linear transport. Furthemore, we obtain quantitative results for the effect of the external microwave radiation on the linear and non-linear $dc$ transport in the system. Our findings are relevant for the description of the oscillating resistivity discovered by Zudov {\em et al.}, zero-resistance state discovered by Mani {\em et al.} and Zudov {\em et al.}, and for the microscopic justification of the model of Andreev {\em et al.}. We also present semiclassical picture for the qualitative consideration of the effects of the applied field on the collision integral.
Aleiner Igor L.
Vavilov Maxim G.
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