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B. Overbosch, X. Wen (2008)
Phase transitions on the edge of the \nu=5/2 Pfaffian and anti-Pfaffian quantum Hall state
(2009)
Additional measurements of tunneling across a QPC at υ = 5/2 presented in Y. Zhang
Experimental results are red and the fit is black. Ticks indicate 0 and ± 5 nA for each temperature
(Color) DC bias and temperature dependence of R D , with best fit
Color) Matrix of fit residual for fixed pairs of ( * e , g ) divided by the experimental noise
Some models of the 5/2 fractional quantum Hall state predict that the quasiparticles, which carry the charge, have non-Abelian statistics: exchange of two quasiparticles changes the wave function more dramatically than just the usual change of phase factor. Such non-Abelian statistics would make the system less sensitive to decoherence, making it a candidate for implementation of topological quantum computation. We measure quasiparticle tunneling as a function of temperature and dc bias between counterpropagating edge states. Fits to theory give e * , the quasiparticle effective charge, close to the expected value of e /4 and g , the strength of the interaction between quasiparticles, close to 3/8. Fits corresponding to the various proposed wave functions, along with qualitative features of the data, strongly favor the Abelian 331 state.
Physical Review B – American Physical Society (APS)
Published: Apr 15, 2012
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