Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.

Details Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States. Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.

1995-01-05

arxiv.org/abs/cond-mat/9501007v1

Physics

Condensed Matter

12 pages, LaTeX (RevTeX 3.0)

Scientific paper

10.1103/PhysRevLett.74.2090

A criterion is given for topological stability of Abelian quantum Hall states, and of Luttinger liquids at the boundaries between such states; this suggests a selection rule on states in the quantum Hall hierarchy theory. The linear response of Luttinger liquids to electromagnetic fields is described: the Hall conductance is quantized, irrespective of whether edge modes propagate in different directions.

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