An Ade-O Classification of Minimal Incompressible Quantum Hall Fluids

Jürg Fröhlich; Urban M. Studer; Emmanuel Thiran

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An Ade-O Classification of Minimal Incompressible Quantum Hall Fluids

Jürg Fröhlich·Urban M. Studer·Emmanuel Thiran

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Abstract

We briefly review a theoretical picture of the quantum Hall effect in which gauge symmetry of non-relativistic quantum mechanics, the representation theory of U(1)-current algebra, and the study of odd, positive integral quadratic forms on N-dimensional integral lattices play fundamental roles. We present a classification of so-called minimal incompressible quantum Hall fluids for low values of the lattice dimension N. The classification contains several new universality classes of quantum Hall fluids which are physically interesting.

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Jürg Fröhlich, Urban M. Studer, Emmanuel Thiran. 1994-06-02. An Ade-O Classification of Minimal Incompressible Quantum Hall Fluids. https://arxiv.org/abs/cond-mat/9406009

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