Quantum Hall effect from soliton equation
High Energy Physics - Theory
2007-05-23 v1
Abstract
The Laughlin function of quantum Hall effect is shown to satisfy Hirota's bilinear difference equation with certain coefficients a little different from the KP hierarchy. Vertex operators which constitute blocks of solutions generate a B\"acklund transformation. Besides the Laughlin function, the equation admits soliton solutions.
Keywords
Cite
@article{arxiv.hep-th/9312142,
title = {Quantum Hall effect from soliton equation},
author = {Hideaki Hiro-Oka and Satoru Saito},
journal= {arXiv preprint arXiv:hep-th/9312142},
year = {2007}
}
Comments
Latex 11pages(LaTeX) TMUP-HEL-9311