Physical Review B (Condensed Matter and Materials
Print issue of 15 February 2001
Phys. Rev. B 63, 073108 (2001) (4 pages)
From the zero-field metal-insulator transition in two dimensions to the
quantum Hall transition: A percolation-effective-medium theory
Department of Physics, Ben-Gurion University, Beer
Sheva 84105, Israel
The Ilse Katz Center for Meso- and Nanoscale Science
and Technology, Ben-Gurion University, Beer Sheva 84105, Israel
(Received 7 September 2000; published 30 January 2001)
Effective-medium theory is applied to the percolation description of
the metal-insulator transition in two dimensions with emphasis on the
continuous connection between the zero-magnetic-field transition and
the quantum Hall transition. In this model, the system consists of
puddles connected via saddle points, and there is loss of quantum
coherence inside the puddles. The effective conductance of the network
is calculated using appropriate integration over the distribution of
conductances, leading to a determination of the magnetic-field
dependence of the critical density. Excellent quantitative agreement is
obtained with the experimental data, which allows an estimate of the
puddle physical parameters. ©2001 The American Physical Society
PACS: 71.30.+h, 73.43.-f, 72.15.Rn, 73.50.-h
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