%0 Journal Article
%T Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state
%A X. Lin
%A C. Dillard
%A M. A. Kastner
%A L. N. Pfeiffer
%A K. W. West
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevB.85.165321
%X 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.
%U http://arxiv.org/abs/1201.3648v2