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Topological orders and Edge excitations in FQH states

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arxiv cond-mat/9506066 v2 pith:UK4TZABL submitted 1995-06-15 cond-mat

Topological orders and Edge excitations in FQH states

classification cond-mat
keywords ordersliquidstopologicaledgeexcitationsrichchiraldiscuss
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Fractional quantum Hall (FQH) liquids contain extremely rich internal structures which represent a whole new kind of ordering. We discuss characterization and classification of the new orders (which is called topological orders). We also discuss the edge excitations in FQH liquids, which form the so-called chiral Luttinger liquids. The chiral Luttinger liquids at the edges also have very rich structures as a reflection of the rich topological orders in the bulk. Thus, edge excitations provide us a practical way to measure topological orders in experiments.

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