Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States
- 13 March 1995
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 74 (11) , 2090-2093
- https://doi.org/10.1103/physrevlett.74.2090
Abstract
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.Comment: 12 pages, LaTeX (RevTeX 3.0Keywords
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