Regensburg 2010 – scientific programme

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MA: Fachverband Magnetismus

MA 11: FS: Topological Defects in Electronic Systems (with TT)

MA 11.7: Topical Talk

Tuesday, March 23, 2010, 12:45–13:15, H20

Probing non-Abelian statistics with quasiparticle interferometry — •Kirill Shtengel — University of California, Riverside, USA

States of matter are conventionally classified according to broken symmetries. Topologically ordered phases fall outside of this paradigm: with no local order parameter, they nevertheless have many peculiar properties setting them apart from disordered phases. In 2D, such phases may support anyons - quasiparticles that are neither bosons nor fermions. Moreover, anyons with non-Abelian statistics can occur, particularly in the fractional quantum Hall regime.

In this talk, I will focus on solid state interferometers designed to detect such exotic statistics. I will discuss Recent experiments in the the quantum Hall regime at 5/2 filling where the evidence for the existence of non-Abelian anyons may have in fact been observed for the first time. I will also mention potential applications of such interferometeric schemes for topological quantum computation.