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arxiv 0908.3563 v2 pith:DORXVKX4 submitted 2009-08-25 cond-mat.mes-hall

Edge-mode velocities and thermal coherence of quantum Hall interferometers

classification cond-mat.mes-hall
keywords fillinglandaulevelvelocitycharge-modecoherenceedge-modefraction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present comprehensive results on the edge-mode velocities in a quantum Hall droplet with realistic interaction and confinement at various filling fractions. We demonstrate that the charge-mode velocity scales roughly with the valence Landau level filling fraction and the Coulomb energy in the corresponding Landau level. At Landau level filling fraction nu = 5/2, the stark difference between the bosonic charge-mode velocity and the fermionic neutral-mode velocity can manifest itself in the thermal smearing of the non-Abelian quasiparticle interference. We estimate the dependence of the coherence temperature on the confining potential strength, which may be tunable experimentally to enhance the non-Abelian state.

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