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Novel excitonic states in quantum Hall systems: Bound states of spin waves and a valence band hole

2002/06/21 by John J. Quinn, Quinn, John J., Arkadiusz Wojs +2
Engineering · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Molecular Junctions and Nanostructures #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0206413

9 pages, 4 figures, invited lecture at SID8, Buffalo (2002)

arxiv created 2002/06/21 · openalex publication_date 2002/06/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If the Zeeman energy is small, the lowest energy excitations of a two dimensional electron gas at filling factor nu=1 are spin waves (spin flip excitations). At nu slightly larger (smaller) than unity, reversed spin electrons (spin holes) can form bound states with K spin waves that are known as skyrmions, SK- (antiskyrmions, SK+). It is suggested in this work that a valence hole can also bind K spin waves to form an excitonic complex XK+, analogous to the SK+. One spin hole of the SK+ is simply replaced by the valence hole. At nu<=1, a small number of SK+'s are present before introduction of the valence hole. The (SK+)-(XK+) repulsion leads to correlations and photoluminescence similar to those of a dilute electron-(charged-exciton) (e-X-) system at nu<=1/3. At nu>=1, the (SK-)-(XK+) attraction can potentially lead to different behavior.

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