2000/08/28 by Frank Kuehnel, Leonid P. Pryadko, M. I. Dykman
Physics and Astronomy · #Magnetic properties of thin films #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.63.165326
published as Phys. Rev. B 63, 165326/1-14 (2001) · RevTeX 3.0, 14 pages, 8 eps figures included with epsf
arxiv created 2000/08/28 · openalex publication_date 2001/04/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study transport properties of a nondegenerate two-dimensional system of noninteracting 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 \stackrel\ensuremath→\ensuremathω0. We also calculate ten spectral moments of the cyclotron resonance absorption peak, and restore the corresponding (nonsingular) frequency dependence using the continuous fraction expansion. Both expansions converge rapidly with an increasing number of included moments, and give numerically accurate results throughout the region of interest. We discuss the possibility of an experimental observation of the predicted effects for electrons on helium.