Single-electron magnetoconductivity of a nondegenerate two-dimensional electron system in a quantizing magnetic field

Abstract

We study transport properties of a non-degenerate two-dimensional system of non-interacting electrons in the presence of a quantizing magnetic field and a short-range disorder potential. We show that the low-frequency magnetoconductivity displays a strongly asymmetric peak at a nonzero frequency. The shape of the peak is restored from the calculated 14 spectral moments, the asymptotic form of its high-frequency tail, and the scaling behavior of the conductivity for ω → 0. We also calculate 10 spectral moments of the cyclotron resonance absorption peak and restore the corresponding (non-singular) frequency dependence using the continuous fraction expansion. Both expansions converge rapidly with increasing number of included moments, and give numerically accurate results throughout the region of interest. We discuss the possibility of experimental observation of the predicted effects for electrons on helium.

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

“…13,14 Therefore, xx () as a function of frequency has a peak at nonzero frequency which depends on B. This is in contrast with the monotonic decay of xx () in the many-electron theory shown in Fig.…”

“…Here, all single-electron states except for one or maybe few are localized, 11,12 and the single-electron conductivity is equal to zero at zero frequency. 13,14 Metalliclike conductivity of a nondegenerate electron liquid is a result of the electron-electron interaction. Earlier, we found a way to take this interaction into account nonperturbatively, and calculated the static conductivity and the cyclotron resonance for a weak short-range disorder potential.…”

Quantum Computing Using Electrons Floating on Liquid Helium

“…Even the data for very strong magnetic fields have been recently understood as due to many-electron effects. 34 Fig. 6.…”