Bulk and edge quasihole tunneling amplitudes in the Laughlin state

Details Bulk and edge quasihole tunneling amplitudes in the Laughlin state Bulk and edge quasihole tunneling amplitudes in the Laughlin state

2012-01-10

arxiv.org/abs/1201.2105v1

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 1 figures

Scientific paper

The tunneling between the Laughlin state and its quasihole excitations are studied by using the Jack polynomial. We find a universal analytical formula for the tunneling amplitude, which can describe both bulk and edge quasihole excitations. The asymptotic behavior of the tunneling amplitude reveals the difference and the crossover between bulk and edge states. The effects of the realistic coulomb interaction with a background-charge confinement potential and disorder are also discussed. The stability of the tunneling amplitude manifests the topological nature of fractional quantum Hall liquids.

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