Edge solitons in the QHE
Mathematical Physics
2016-08-16 v2 Condensed Matter
High Energy Physics - Theory
math.MP
Abstract
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, whose arisal is explained by the conformal properties of non-relativistic spacetime. However, only the usual travelling soliton is consistent with the jNLS. Adding a six-order potential converts jnLS into an integrable equation.
Cite
@article{arxiv.math-ph/9909017,
title = {Edge solitons in the QHE},
author = {M. Hassaïne P. A. Horváthy and J. -C. Yéra},
journal= {arXiv preprint arXiv:math-ph/9909017},
year = {2016}
}
Comments
I realized that this is a duplicate submission of our paper: arXiv:hep-th/0411117