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

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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

Scientific paper

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, S_K^- (antiskyrmions, S_K^+). It is suggested in this work that a valence hole can also bind K spin waves to form an excitonic complex X_K^+, analogous to the S_K^+. One spin hole of the S_K^+ is simply replaced by the valence hole. At nu<=1, a small number of S_K^+'s are present before introduction of the valence hole. The (S_K^+)-(X_K^+) 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 (S_K^-)-(X_K^+) attraction can potentially lead to different behavior.

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