Chern-Simons solitons in quantum potential

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 greater than or equal to 0 of solitons Leads to quantization of Chern-Simons coupling constant kappa = m(e(2)/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 Schrodinger models, admitting self-dual solitons. New types of exponentially localized Chern Simons solitons for the Bloch electrons near the hyperbolic energy band boundary are found. (C) 2000 Published by Elsevier Science Ltd.