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11 December 2024
 
  » arxiv » cond-mat/9710350

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Bulk charge distributions on integer and fractional quantum Hall plateaus
J. J. Palacios ; A. H. MacDonald ;
Date 31 Oct 1997
Journal Phys. Rev. B 57, 7119 (1998).
Subject Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall
AbstractWe discuss the charge distributions across the bulk of a two-dimensional electron gas system which is on an integer or fractional quantum Hall plateau. Our analysis is based on a relation, derived from the long wavelength limit of the bulk density-density response function, between the induced charge and leading derivatives of a slowly varying Hall potential. We use the Wiener-Hopf method to solve the coupled response and Poisson equations. Unlike the integer case, treated in previous work, the induced charge in the fractional case can alternate in sign.
Source arXiv, cond-mat/9710350
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