paper

Quantum Hall effect from soliton equation

arXiv:hep-th/9312142

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 Bäcklund transformation. Besides the Laughlin function, the equation admits soliton solutions.

Latex 11pages(LaTeX) TMUP-HEL-9311

Quantum Hall effect from soliton equation · wovepaper