Magneto-oscillations due to electron-electron interactions in the ac conductivity of a 2D electron gas

Abstract

Electron-electron interactions give rise to the correction, δσ^{int}(ω), to the ac magnetoconductivity, σ(ω), of a clean 2D electron gas that is periodic in ω_c^{-1}, where ω_c is the cyclotron frequency. Unlike conventional harmonics of the cyclotron resonance, which are periodic with ω, this correction is periodic with ω^{3/2}. Oscillations in δσ^{int}(ω) develop at low magnetic fields, ω_c\llω, when the conventional harmonics are suppressed by the disorder. Their origin is a {\em double} backscattering of an electron from the impurity-induced Friedel oscillations. During the time \simω^{-1} between the two backscattering events the electron travels only a {\em small portion} of the Larmour circle.

4+ pages, 3 figures

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• Ballistic magnetotransport in graphene
• Interaction effects in graphene in a weak magnetic field
• Non-analytic magnetic field dependence of quasi-particle properties of two-dimensional metals
• Quantization and quantum oscillations of the sublattice charge order in Dirac insulators