Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-10-14
Phys. Rev. Lett., 80 (1998) 2429
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, RevTeX
Scientific paper
10.1103/PhysRevLett.80.2429
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.
Mirlin Alexander D.
Polyakov D. G.
Woelfle Peter
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