Hamiltonian theory of the half-filled Landau level with disorder: Application to recent NMR data

Ganpathy Murthy, R. Shankar

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

The Hamiltonian theory of the fractional quantum Hall effect is an operator description that subsumes many properties of composite fermions, applies to gapped and gapless cases, and has been found to provide results in quantitative accord with data on gaps, relaxation rates, and polarizations at temperatures of 300 mK and above. The only free parameter is λ, which is related to the sample thickness and appears in the Zhang-Das Sarma potential v (q) = 2π e2 κq e-qlλ where l and κ are the magnetic length and dielectric constant. Here we examine the recent data of Tracy and Eisenstein on the nuclear magnetic resonance relaxation rate at filling factor ν= 1 2 deduced from resistivity measurements at temperatures as low as 45 mK. We find that their results can be satisfactorily described by this theory, if in addition to a v (q) with λ 2, a constant disorder width Γ 100 mK is incorporated.

Original languageEnglish
Article number075341
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume76
Issue number7
DOIs
StatePublished - Aug 23 2007

Funding

FundersFunder number
National Science Foundation (NSF)
Directorate for Mathematical and Physical Sciences0354517

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Condensed Matter Physics

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