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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 | | Abstract: | 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. | | Source: | arXiv, cond-mat/9710350 | | Services: | Forum | Review | PDF | Favorites | |
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