Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state

Details Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state

2012-01-17

arxiv.org/abs/1201.3648v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

Some models of the 5/2 fractional quantum Hall state predict that the quasi-particles, which carry the charge, have non-Abelian statistics: exchange of two quasi-particles 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 quasi-particle tunneling as a function of temperature and DC bias between counter-propagating edge states. Fits to theory give e*, the quasi-particle effective charge, close to the expected value of e/4 and g, the strength of the interaction between quasi-particles, 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.

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