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arXiv · 0803.3530

Quasiparticle Tunneling in the Fractional Quantum Hall State at ν= 5/2

Iuliana P. Radu·J. B. Miller·C. M. Marcus·M. A. Kastner·L. N. Pfeiffer·K. W. West
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Abstract

Theory predicts that quasiparticle tunneling between the counter-propagating edges in a fractional quantum Hall state can be used to measure the effective quasiparticle charge e* and dimensionless interaction parameter g, and thereby characterize the many-body wavefunction describing the state. We report measurements of quasiparticle tunneling in a high mobility GaAs two dimensional electron system in the fractional quantum Hall state at nu=5/2 using a gate-defined constriction to bring the edges close together. We find the dc-bias peaks in the tunneling conductance at different temperatures collapse onto a single curve when scaled, in agreement with weak tunneling theory. Various models for the ν=5/2 state predict different values for g. Among these models, the non-abelian states with e*=1/4 and g=1/2 are most consistent with the data.

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Iuliana P. Radu, J. B. Miller, C. M. Marcus, M. A. Kastner, L. N. Pfeiffer, K. W. West. 2008-03-25. Quasiparticle Tunneling in the Fractional Quantum Hall State at ν= 5/2. https://arxiv.org/abs/0803.3530

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