Stability of chiral Luttinger liquids and Abelian quantum Hall states.

  title={Stability of chiral Luttinger liquids and Abelian quantum Hall states.},
  journal={Physical review letters},
  volume={74 11},
  • Haldane
  • Published 5 January 1995
  • Physics, Medicine
  • Physical review letters
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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