Topological orders and Edge excitations in FQH states

Details Topological orders and Edge excitations in FQH states Topological orders and Edge excitations in FQH states

1995-06-15

arxiv.org/abs/cond-mat/9506066v2

Advances in Physics, 44, 405 (1995)

Physics

Condensed Matter

67 pages, plain-tex, 3 figures. The section about spin vector was rewritten to make it more readable

Scientific paper

10.1080/00018739500101566

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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