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Vortices and hierarchy of states in double-layer fractional Hall effect

By Jacek Dziarmaga

Abstract

Vortex solutions in U(1)×U(1) Chern-Simons theory coupled to a pair of hard-core bosons representing two layers of electrons are analysed. It is shown that there is such a range of parameters (αβ < γ 2) in which finite charge (1,0) or (0, 1) vortices can not exist. Instead the minimal flux quanta are (1,1) hybrids. Their statistical dominance is shown to have an influence on Haldane-Halderin hierarchy of states. The form of Coulomb potential and its influence on the range of physically acceptable states is discussed.

Year: 1994
OAI identifier: oai:CiteSeerX.psu:10.1.1.310.9694
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