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arXiv · hep-th/9906104

Chern-Simons Solitons in Quantum Potential

Oktay K. Pashaev·Jyh-Hao Lee
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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 $N \ge 0$ of solitons leads to quantization of Chern-Simons coupling constant $κ= m {e^{2} \over g}$, 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 Schrödinger 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.

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Oktay K. Pashaev, Jyh-Hao Lee. 1999-06-15. Chern-Simons Solitons in Quantum Potential. https://doi.org/10.1016/s0960-0779(99)00139-3

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