Testing the topological nature of the fractional quantum Hall edge

We carry out numerical diagonalization for much larger systems than before by restricting the fractional quantum Hall (FQH) edge excitations to a basis that is exact for a short-range interaction and very accurate for the Coulomb interaction. This enables us to perform substantial tests of the predi...

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Veröffentlicht in:Physical review letters 2009-03, Vol.102 (11), p.116801-116801, Article 116801
Hauptverfasser: Jolad, Shivakumar, Jain, Jainendra K
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Sprache:eng
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Zusammenfassung:We carry out numerical diagonalization for much larger systems than before by restricting the fractional quantum Hall (FQH) edge excitations to a basis that is exact for a short-range interaction and very accurate for the Coulomb interaction. This enables us to perform substantial tests of the predicted universality of the edge physics. Our results suggest the possibility that the behavior of the FQH edge is intrinsically nonuniversal, even in the absence of edge reconstruction, and therefore may not bear a sharp and unique relation to the nature of the bulk FQH state.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.102.116801