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Advances in Condensed Matter Physics
Volume 2012, Article ID 832925, 6 pages
Research Article

Current Percolation in Medium with Boundaries under Quantum Hall Effect Conditions

1Department of Physics and Mathematics, Zabaikalskii State Human Pedagogic University, Chita 681, Russia
2Buryat Science Center, SB RAS, Ulan-Ude 670047, Russia

Received 12 October 2011; Accepted 30 November 2011

Academic Editor: Mohindar S. Seehra

Copyright © 2012 M. U. Malakeeva and V. E. Arkhincheev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The current percolation has been considered in the medium with boundaries under quantum Hall effect conditions. It has been shown that in that case the effective Hall conductivity has a nonzero value due to percolation of the Hall current through the finite number of singular points (in our model these are corners at the phase joints).