Charge and current oscillations in fractional quantum Hall systems with edges

J. Shiraishi, Y. Avishai

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Stationary solutions of the Chern-Simons effective field theory for the fractional quantum Hall systems with edges are presented for Hall bar, disk, and annulus. In the infinitely long Hall bar geometry (noncompact case), the charge density is shown to be monotonic inside the sample. In sharp contrast, spatial oscillatory modes of charge density are found for the two circular geometries, which indicate that in systems with compact geometry, charge and current exist also far from the edges.

Original languageEnglish
Pages (from-to)13061-13067
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume57
Issue number20
DOIs
StatePublished - 1 Jan 1998

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