Composite-Fermion Picture for the Spin-Wave Excitation in the fractional quantum Hall system

Abstract

Spin-wave excitation mode from the spin-polarized ground state in the fractional quantum Hall liquid with odd fractions ($\nu =1/3,1/5$) numerically obtained by the exact diagonalization of finite systems is shown to be accurately described, for wavelengths exceeding the magnetic length, in terms of the composite-fermion mean-field approximation for the spin-wave (magnon) theory formulated in the spherical geometry. This indicates that the composite picture extends to excited states, and also provides the spin stiffness in terms of peculiar exchange interactions.

arXiv comment10 pages, typeset in LATEX, NA-94-05, 2 figures available upon request at [email protected]

References in corpus (6)

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• Study of Low Energy Spin Rotons in the Fractional Quantum Hall Effect
• Hamiltonian Description of Composite Fermions: Magnetoexciton Dispersions
• Energy gaps and roton structure above the nu=1/2 Laughlin state of a rotating dilute Bose-Einstein condensate
• Light scattering observations of spin reversal excitations in the fractional quantum Hall regime
• Signature of Quantum Hall Effect Skyrmions in Tunneling: A Theoretical Study
• Crossover and Coexistence of Quasiparticle Excitations in the Fractional Quantum Hall Regime at $\nu \le 1/3$
• Chiral condensate with topological degeneracy in graphene and its manifestation in edge states
• Resonant Enhancement of Inelastic Light Scattering in the Fractional Quantum Hall Regime at $\nu =1/3$
• Effective mass staircase and the Fermi liquid parameters for the fractional quantum Hall composite fermions
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• Composite-Fermion Analysis of the Double-Layer Fractional Quantum Hall System
• Spin-squeezed Ground States in the Bilayer Quantum Hall Ferromagnet
• Spin-flip and spin-wave excitations in arbitrarily polarized quantum Hall states
• Interaction and dimensionality in the quantum Hall physics
• Spin-resoloved chiral condensate as a spin-unpolarized ν=0 quantum Hall state in graphene
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Spin excitations in the Fractional Quantum Hall regime at $\nu \lesssim 1/3$
• Light Scattering by Low Lying Quasiparticle Excitations in the Fractional Quantum Hall Regime
• Probing fractional quantum Hall effect by photoluminescence
• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere