Edge-mode velocities and thermal coherence of quantum Hall interferometers

Details Edge-mode velocities and thermal coherence of quantum Hall interferometers Edge-mode velocities and thermal coherence of quantum Hall interferometers

2009-08-25

arxiv.org/abs/0908.3563v2

Phys. Rev. B 80, 235330 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures; revised to 6 pages, 4 figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.80.235330

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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