Stability of chiral luttinger liquids and abelian quantum hall states

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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.

Original languageEnglish (US)
Pages (from-to)2090-2093
Number of pages4
JournalPhysical review letters
Volume74
Issue number11
DOIs
StatePublished - 1995

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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