Composite fermions in a long-range random magnetic field: Quantum Hall effect versus Shubnikov-de Haas oscillations

Abstract

We study transport in a smooth random magnetic field, with emphasis on composite fermions (CF) near half-filling of the Landau level. When either the amplitude of the magnetic field fluctuations or its mean value $\bar{B}$ is large enough, the transport is of percolating nature. While at $\bar{B}=0$ the percolation effects enhance the conductivity ${\sigma }_{xx}$, increasing $\bar{B}$ (which corresponds to moving away from half-filling for the CF problem) leads to a sharp falloff of ${\sigma }_{xx}$ and, consequently, to the quantum localization of CFs. We demonstrate that the localization is a crucial factor in the interplay between the Shubnikov-de Haas and quantum Hall oscillations, and point out that the latter are dominant in the CF metal.

4 pages, RevTeX

References in corpus (1)

• Suppression of chaotic dynamics and localization of two-dimensional electrons by a weak magnetic field

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