Momentum distribution function of a narrow hall bar in the FQHE regime

Sung Ryul Yang, Sami Mitra, A. H. MacDonald, M. P A Fisher

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Abstract

The momentum distribution function (n(k)) of a narrow Hall bar in the fractional quantum Hall effect regime is investigated using Luttinger liquid and microscopic many-particle wavefunction approaches. For wide Hall bars with filling factor v = 1/M, where M is an odd integer, n(k) has singularities at ±Mk F. We find that for narrow Hall bars additional singularities occur at smaller odd integral multiples of k F: n(k) ∼ A p|k±pk F| 2Δp-1 near k = ±Pk F, where p is an odd integer M, M - 2, M 4, ..., 1. If inter-edge interactions can be neglected, the exponent 2Δ P = (1/v+p 2v)/2 is independent of the width (w) of the Hall bar but the amplitude of the singularity A p vanishes exponentially with w for p ≠ M.

Original languageEnglish
JournalJournal of the Korean Physical Society
Volume29
Issue numberSUPPL. Part 1
Publication statusPublished - 1996 Dec 1

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Yang, S. R., Mitra, S., MacDonald, A. H., & Fisher, M. P. A. (1996). Momentum distribution function of a narrow hall bar in the FQHE regime. Journal of the Korean Physical Society, 29(SUPPL. Part 1).