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Quantum Hall effect from soliton equation

1993/12/16 by Hideaki Hiro-Oka, Hiro-Oka, Hideaki, Satoru Saito +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9312142

Latex 11pages(LaTeX) TMUP-HEL-9311

arxiv created 1993/12/16 · arxiv updated 2009/11/30

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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