Abstract

A many-electron theory of magnetotransport of a nondegenerate 2D electron system is presented along with experimental data in classically strong and quantising magnetic fields. Due to the electron—electron interaction each individual electron is driven by a fluctuating electric field E which converts the discrete Landau levels for non-interacting electrons, spacing ħω c, into a continuous spectrum. Hence the classical magnetoresistance is very small (compared to the single-electron theory) until eER c < ħω c where R c is the classical Larmor radius. At high magnetic fields, ħω c ⪢ KT > EEl( l=(ħ/ mω c 1 2 for eEl/ħ less than the electron momentum scattering rate, the single-electron theory becomes valid. The onset field B 0 for magnetoresistance lies in the range 0.3-1.0 T for electrons on liquid helium. These many-electron effects have been observed experimentally near 1 K where the electron mobility is high and limited by 4He vapor atoms and below 1 K in the ripplon scattering regime.

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