%0 Journal Article
%T Chern-Simons Solitons in Quantum Potential
%A Oktay K. Pashaev
%A Jyh-Hao Lee
%J Physics
%D 1999
%I arXiv
%R 10.1016/S0960-0779(99)00139-3
%X The self-dual Chern-Simons solitons under the influence of the quantum potential are considered. The single-valuedness condition for an arbitrary integer number $N \ge 0$ of solitons leads to quantization of Chern-Simons coupling constant $\kappa = m {e^{2} \over g}$, and the integer strength of quantum potential $s = 1 - m^{2}$. As we show, the Jackiw-Pi model corresponds to the first member (m = 1) of our hierarchy of the Chern-Simons gauged nonlinear Schr\"odinger models, admitting self-dual solitons. New type of exponentially localized Chern-Simons solitons for the Bloch electrons near the hyperbolic energy band boundary are found.
%U http://arxiv.org/abs/hep-th/9906104v1