1994/07/21 by Jacek Dziarmaga, Dziarmaga, Jacek
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.cond-mat/9407085
13 pages in plain Latex
arxiv created 1994/07/21 · arxiv updated 2016/08/30
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<γ2) 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.