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Formation of an edge striped phase in the (formula presented) fractional quantum Hall system

  • Stony Brook University

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We have performed an exact diagonalization study of up to (formula presented) interacting electrons on a disk at filling (formula presented) for both true Coulomb interaction, and the (formula presented) Haldane short-range interaction for which Laughlin wave function is the exact solution. For the Coulomb interaction and (formula presented) we find persistent radial oscillations in electron density, which are not captured by the Laughlin wave function. Our results strongly suggest formation of a chiral striped phase at the edge of the fractional quantum Hall systems. The amplitude of the charge density oscillations decays slowly, only as a power law with the distance from the edge. Thus the spectrum of edge excitations is likely to be affected.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume64
Issue number16
DOIs
StatePublished - 2001

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