An Ade-O Classification of Minimal Incompressible Quantum Hall Fluids

Details An Ade-O Classification of Minimal Incompressible Quantum Hall Fluids An Ade-O Classification of Minimal Incompressible Quantum Hall Fluids

1994-06-02

arxiv.org/abs/cond-mat/9406009v1

Physics

Condensed Matter

8 pages (LaTeX document) + 1 included Table (LaTeX document - A4 Landscape)

Scientific paper

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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