Composite Fermions in a Long-Range Random Magnetic Field: Quantum Hall Effect versus Shubnikov–de Haas Oscillations

1997/10/14 by A. D. Mirlin, D. G. Polyakov, P. Wölfle +1 · 4 citations
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.80.2429

published as Phys. Rev. Lett., 80 (1998) 2429 · 4 pages, RevTeX

arxiv created 1997/10/14 · openalex publication_date 1998/03/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study transport in a smooth random magnetic field, with emphasis on composite fermions (CFs) near half-filling of the Landau level. When either the amplitude of the magnetic field fluctuations or its mean value B is large enough, the transport is percolating in nature. While at B\phantom\rule0ex0ex=\phantom\rule0ex0ex0 the percolation enhances the conductivity \ensuremathσ_xx, increasing B leads to a sharp falloff of \ensuremathσ_xx and, consequently, to the quantum localization of CFs. We show that the localization is a crucial factor in the interplay between the Shubnikov--de Haas and quantum Hall oscillations and that the latter are dominant in the CF metal.

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