4.6 Article

Edge-mode velocities and thermal coherence of quantum Hall interferometers

Journal

PHYSICAL REVIEW B
Volume 80, Issue 23, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.80.235330

Keywords

boson systems; fermion systems; interferometers; Landau levels; quantum Hall effect; Stark effect

Funding

  1. NSF [DMR-0704133, DMR-0606566]
  2. PCSIRT [IRT0754]
  3. Max Planck Society
  4. Korea Ministry of Education, Science and Technology
  5. Division Of Materials Research
  6. Direct For Mathematical & Physical Scien [0704133] Funding Source: National Science Foundation

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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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