Collective excitations in the Moore-Read phase: view from superspace

ORAL

Abstract

We present a microscopic theory of the neutral collective modes supported by the Moore-Read fractional quantum Hall state. The theory is formulated in terms of the trial states describing the Girvin-MacDonald-Platzman (GMP) mode and its fermionic counterpart, known as the "Neutral Fermion" mode. To access both modes simultaneously the Moore-Read state is first lifted to the superspace. These modes are created by the same operator which acts in the superspace. The Grassman variables are auxilliary and are integrated over in the end.

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Presenters

  • Andrey Gromov

    UC Berkeley, Physics, University of California, Berkeley

Authors

  • Andrey Gromov

    UC Berkeley, Physics, University of California, Berkeley

  • Shinsei Ryu

    University of Chicago, Kadanoff Center for Theoretical Physics and James Franck Institute, University of Chicago

  • Emil J Martinec

    University of Chicago