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arXiv · hep-th/0411117

Edge solitons in the QHE

M Hassaine·P. A. Horvathy·J-C. Yera
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Abstract

The spacelike reduction of the Chern-Simons Lagrangian yields a modified Nonlinear Schrödinger Equation (jNLS) where in the non-linearity the particle density is replaced by current. When the phase is linear in the position, this latter is an ordinary NLS with time-dependent coefficients which admits interesting solutions. Their arisal is explained by the conformal properties of non-relativistic spacetime. Only the usual travelling soliton is consistent with the jNLS, but the addition of a six-order potential converts it into an integrable equation.

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M Hassaine, P. A. Horvathy, J-C. Yera. 2004-11-11. Edge solitons in the QHE. https://arxiv.org/abs/hep-th/0411117

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