{ "id": "cond-mat/9710350", "version": "v1", "published": "1997-10-31T22:29:20.000Z", "updated": "1997-10-31T22:29:20.000Z", "title": "Bulk charge distributions on integer and fractional quantum Hall plateaus", "authors": [ "J. J. Palacios", "A. H. MacDonald" ], "comment": "6 pages, Latex, two-column format with 3 figures", "journal": "Phys. Rev. B 57, 7119 (1998).", "doi": "10.1103/PhysRevB.57.7119", "categories": [ "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.", "revisions": [ { "version": "v1", "updated": "1997-10-31T22:29:20.000Z" } ], "analyses": { "keywords": [ "fractional quantum hall plateau", "bulk charge distributions", "two-dimensional electron gas system", "bulk density-density response function", "long wavelength limit" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "LaTeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }