Journal
PHYSICAL REVIEW B
Volume 80, Issue 23, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.80.235305
Keywords
long-range order; quantum Hall effect; quantum interference phenomena; quantum point contacts; quasiparticles; tunnelling
Funding
- NSF [DMR-0704133, DMR-0606566]
- PCSIRT [IRT0754]
- Max Planck Society
- Korea Ministry of Education, Science and Technology
- National Science Foundation [PHY-0551164]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [0704133] Funding Source: National Science Foundation
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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 charges e/4 (non-Abelian) and e/2 (Abelian) may coexist 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 that 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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