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

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

2008-03-25

arxiv.org/abs/0803.3530v1

Science 320, 899 (2008).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

supporting material: http://marcuslab.harvard.edu/Radu_SOMs.pdf

Scientific paper

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 \nu=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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