Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 73: Low-Dimensional Systems: Topological Order

TT 73.10: Vortrag

Donnerstag, 10. März 2016, 17:45–18:00, H19

Nonabelian hierarchies of fractional quantum Hall states — •Yoran Tournois and Maria Hermanns — Institute for Theoretical Physics, Cologne

The fractional quantum Hall effect is one of the paradigmatic examples of topological order in condensed matter physics. It harbors anyonic quasiparticle excitations which carry fractional charge and obey fractional exchange statistics, i.e. when these identical particles are exchanged the wavefunction picks up a complex phase which may take any value between 1 and -1. While the physics of the fractional quantum Hall effect is well understood in the lowest Landau level by means of the Haldane-Halperin hierarchy, this is not the case for the second Landau level. The latter is of particular interest as it is believed that in the second Landau level, even more exotic excitations - nonabelian anyons - may be realized. Several proposals on how to generalize the Haldane-Halperin hierarchy to the second Landau level exist. In this talk, we will consider these different proposals, and discuss how to obtain the properties of their nonabelian excitations.