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 language||English (US)|
|Number of pages||4|
|Journal||Physical review letters|
|State||Published - 1995|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)