Quasiparticle tunneling in the Moore-Read fractional quantum Hall State

Details Quasiparticle tunneling in the Moore-Read fractional quantum Hall State Quasiparticle tunneling in the Moore-Read fractional quantum Hall State

2009-05-22

arxiv.org/abs/0905.3607v2

Phys. Rev. B 80, 235305 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 6 figures; v2: expanded to include 3 more figures, minor corrections, references updated

Scientific paper

10.1103/PhysRevB.80.235305

In fractional quantum Hall systems, quasiparticles of fractional charge can tunnel between the edges at a quantum point contact. Such tunneling (or backscattering) processes contribute to charge transport, and provide information on both the charge and statistics of the quasiparticles involved. Here we study quasiparticle tunneling in the Moore-Read state, in which quasiparticles of charge e/4 (non-Abelian) and e/2 (Abelian) may co-exist and both contribute to edge transport. On a disk geometry, we calculate the matrix elements for e/2 and e/4 quasiholes to tunnel through the bulk of the Moore-Read state, in an attempt to understand their relative importance. We find the tunneling amplitude for charge e/2 quasihole is exponentially smaller than that for charge e/4 quasihole, and the ratio between them can be (partially) attributed to their charge difference. We find that including long-range Coulomb interaction only has a weak effect on the ratio. We discuss briefly the relevance of these results to recent tunneling and interferometry experiments at filling factor nu=5/2.

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