English

Aharonov-Bohm effect in the non-Abelian quantum Hall fluid

Mesoscale and Nanoscale Physics 2007-05-23 v2

Abstract

The nu=5/2 fractional quantum Hall effect state has attracted great interest recently, both as an arena to explore the physics of non-Abelian quasiparticle excitations, and as a possible architecture for topological quantum information processing. Here we use the conformal field theoretic description of the Moore-Read state to provide clear tunneling signatures of this state in an Aharonov-Bohm geometry. While not probing statistics directly, the measurements proposed here would provide a first, experimentally tractable step towards a full characterization of the 5/2 state.

Keywords

Cite

@article{arxiv.cond-mat/0511236,
  title  = {Aharonov-Bohm effect in the non-Abelian quantum Hall fluid},
  author = {Lachezar S. Georgiev and Michael R. Geller},
  journal= {arXiv preprint arXiv:cond-mat/0511236},
  year   = {2007}
}

Comments

5 pages, 3 figures, 2 tables, added one more figure and conductances formulae for the three channels