Quantum Hall effect from soliton equation
Hideaki Hiro-Oka, Satoru Saito
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.
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