Chern–Simons solitons in quantum potential

Abstract

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⩾0 of solitons leads to quantization of Chern–Simons coupling constant κ= 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 Schrödinger 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.