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

Physics – Condensed Matter

Scientific paper

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10 pages, typeset in LATEX, NA-94-05, 2 figures available upon request at aokih@tansei.cc.u-tokyo.ac.jp

Scientific paper

10.1103/PhysRevLett.73.3568

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.

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