Low-frequency conductivity of a nondegenerate two-dimensional electron liquid in strong magnetic fields

Abstract

We study the conductivity of a nondegenerate two-dimensional electron liquid in a quantizing magnetic field for frequencies well below the cyclotron frequency. The conductivity is formed by electron transitions in which the energy of a photon goes to the interaction energy of the many-electron system, whereas the involved momentum is transferred to the quenched disorder. The conductivity peak is non-Lorentzian. Its shape depends on the relation between the correlation length r c of the disorder potential and the typical amplitude ␦ f of vibrations of the electrons about their quasiequilibrium positions in the liquid. The width of the peak is determined by the reciprocal time it takes to move an electron over r c ͑or the magnetic length l for r c Ͻl). In turn, this time is determined by vibrational or diffusive motion, depending on the ratio r c /␦ f . We analyze the tail of the conductivity peak for a short-range disorder. It is formed by multiple collisions with the disorder potential. We also analyze scattering by rare negatively charged traps, and show that the conductivity spectrum in this case depends on both short-and long-time electron dynamics.

Nonequilibrium phenomena in high Landau levels

“…Finally, relaxation times at Kelvin temperatures are several orders of magnitude longer than in semiconductor 2DEGs. Quasiclassical magnetotransport in this system has been studied both experimentally and theoretically during the last two decades (Dykman et al, 1997(Dykman et al, , 1993Dykman and Pryadko, 2003;Lea and Dykman, 1998;Monarkha and Kono, 2004). The focus of a more recent activity was on the photoresponse of the electron fluid.…”

Microwave-Induced Suppression of Dissipative Conductivity and Its Shubnikov–de Haas Oscillations in Two-Dimensional Electron Systems: Effects of Dynamic Electron Localization and Plasma Reflection

“…This implies that although electron-electron interaction does not change the total momentum of the electron system and, hence, does not directly lead to the dissipative conductivity, it may mediate the momentum transfer to the scatterers and, therefore strongly affect electron transport phenomena (see, for example, Ref. [15]). Invoking the mechanism of intra-LL impurity scattering mediated by electron-electron collision, one can understand the association of the dissipative current with the Joule heating of 2DES.…”

Steplike electric conduction in a classical two-dimensional electron system through a narrow constriction in a microchannel

“…The variational separations can be understood from an effect of the density fluctuation. The root-mean-square displacement δ x in the x direction estimated from the harmonic approximation by equalizing [57,63], i.e.,…”