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Composite-Fermion Picture for the Spin-Wave Excitation in the Fractional Quantum Hall System

1994/08/02 by T. Nakajima, Takashi Nakajima, H. Aoki +1 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat

paper · pdf · doi:10.1103/physrevlett.73.3568

10 pages, typeset in LATEX, NA-94-05, 2 figures available upon request at [email protected]

arxiv created 1994/08/02 · openalex publication_date 1994/12/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The spin-wave excitation mode from the spin-polarized ground state in the fractional quantum Hall system at the Landau level filling of \ensuremathν=(1)/((2m+1)) is shown, by comparing with the exact numerical result for finite systems, to be accurately described, for wavelengths exceeding the magnetic length, in terms of the composite-fermion picture for the spin-wave (magnon) theory formulated in the spherical geometry. This indicates that the composite-fermion approach extends to excited states and also provides the spin stiffness in terms of exchange interaction with transformed interparticle interactions.

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