Skyrmion Effects on the Integer Quantum Hall Photoluminescence

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  • Asano Kenichi
    Department of Physics, School of Science, and Quantum Phase Electronics Center, School of Engineering, University of Tokyo

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Abstract

Quantum Hall systems at the filling factor, νe∼1, show the multiple spin flipping (skyrmion) effects for sufficiently small Zeeman splittings. The entanglement of skyrmion with screening is studied in the presence of additional valence hole separated on another layer by the distance d. Electron–hole (e–h) states are calculated numerically through the exact diagonalization of the Hamiltonian on the Haldane sphere, using the coefficients of fractional parentage method. At νe=1, the hole screening is enhanced together with the multiple spin flips at sufficiently small d. With increasing d, the screening is weakened and the electron spin is maximally polarized due to the exchange interaction. At νe=1+, by contrast, the additional single electron strongly screens the hole, leading to the maximally spin polarized ground state at small d. The suppression of screening at large d brings a bound state of skyrmion and the hole (skyrmionic exciton) with the broadened electron distribution around the hole. The photoluminescence spectra calculated for the left and right circular polarization reflect these phenomena and can qualitatively explain the complicated behaviors found in experiments.

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