# Stability of chiral Luttinger liquids and Abelian quantum Hall states.

@article{Haldane1995StabilityOC, title={Stability of chiral Luttinger liquids and Abelian quantum Hall states.}, author={Haldane}, journal={Physical review letters}, year={1995}, volume={74 11}, pages={ 2090-2093 } }

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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