Testing the topological nature of the fractional quantum hall edge

Shivakumar Jolad, Jainendra K. Jain

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Article number116801
JournalPhysical Review Letters
Volume102
Issue number11
DOIs
StatePublished - Mar 17 2009

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Cite this

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Testing the topological nature of the fractional quantum hall edge. / Jolad, Shivakumar; Jain, Jainendra K.

In: Physical Review Letters, Vol. 102, No. 11, 116801, 17.03.2009.

Research output: Contribution to journalArticle

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AB - 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.

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