Bulk charge distributions on integer and fractional quantum Hall plateaus

Details Bulk charge distributions on integer and fractional quantum Hall plateaus Bulk charge distributions on integer and fractional quantum Hall plateaus

1997-10-31

arxiv.org/abs/cond-mat/9710350v1

Phys. Rev. B 57, 7119 (1998).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, Latex, two-column format with 3 figures

Scientific paper

10.1103/PhysRevB.57.7119

We 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.

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