Edge solitons in the QHE

Details Edge solitons in the QHE Edge solitons in the QHE

2004-11-11

arxiv.org/abs/hep-th/0411117v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk given by P. A. Horvathy at the meeting Nonlinearity, Integrability, and All That... Gallipoli (Lecce), 1999. Latex, 6 pag

Scientific paper

The spacelike reduction of the Chern-Simons Lagrangian yields a modified Nonlinear Schr\"odinger 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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