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

S. R.Eric Yang, Sami Mitra, A. H. MacDonald, M. P.A. Fisher

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 ±MkF. We find that for narrow Hall bars additional singularities occur at smaller odd integral multiples of kF: n(k) ∼ Ap|k±pkF|2Δp-1 near k = ±PkF, where p is an odd integer M, M - 2, M 4, ..., 1. If inter-edge interactions can be neglected, the exponent 2ΔP = (1/v+p2v)/2 is independent of the width (w) of the Hall bar but the amplitude of the singularity Ap vanishes exponentially with w for p ≠ M.

Original languageEnglish
Pages (from-to)S10-S12
JournalJournal of the Korean Physical Society
Volume29
Issue numberSUPPL. Part 1
Publication statusPublished - 1996

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Momentum distribution function of a narrow hall bar in the FQHE regime'. Together they form a unique fingerprint.

  • Cite this

    Yang, S. R. E., 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), S10-S12.