Quantum Hall effect from soliton equation

Details Quantum Hall effect from soliton equation Quantum Hall effect from soliton equation

1993-12-16

arxiv.org/abs/hep-th/9312142v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex 11pages(LaTeX) TMUP-HEL-9311

Scientific paper

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.

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