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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 are expected to occur in certain fractional quantum Hall systems as well as materials supporting topological superconductivity (intrinsic or induced). In this talk, I will discuss various approaches designed to detect such exotic statistics. I will also describe our recent proposal for novel physical systems supporting unusual non-Abelian anyons. I will also mention potential applications of such systems for topological quantum computation.

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Prof. Kirill Shtengel, UC Riverside
Seminarraum Theoretische Physik
Contact: not specified