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    Non-equilibrium noise in the (non-)Abelian fractional quantum Hall effect


    Smits, O. and Slingerland, Joost and Simon, S.H. (2014) Non-equilibrium noise in the (non-)Abelian fractional quantum Hall effect. Working Paper. arXiv.

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    Abstract

    We analyse the noise of the edge current of a generic fractional quantum Hall state in a tunnelling point contact system. We show that the non-symmetrized noise in the edge current for the system out-of-equilibrium is completely determined by the noise in the tunnelling current and the Nyquist- Johnson (equilibrium) noise of the edge current. Simply put, the noise in the tunnelling current does not simply add up the equilibrium noise of the edge current. A correction term arises associated with the correlation between the tunnelling current and the edge current. We show, using a nonequilibrium Ward identity, that this correction term is determined by the anti-symmetric part of the noise in the tunnelling current. This leads to a non-equilibrium fluctuation-dissipation theorem and related expressions for the excess and shot noise of the noise in the edge current. Our approach makes use of simple properties of the edge, such as charge conservation and chirality, and applies to generic constructions of the edge theory which includes edges of non-Abelian states and edges with multiple charged channels. Two important tools we make use of are the non-equilibrium Kubo formula and the non-equilibrium Ward identity. We discuss these identities in the appendix.

    Item Type: Monograph (Working Paper)
    Keywords: Non-equilibrium noise; (non-)Abelian; fractional quantum Hall effect;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 6308
    Identification Number: arXiv:1401.4581
    Depositing User: Dr. Joost Slingerland
    Date Deposited: 20 Aug 2015 12:12
    Publisher: arXiv
    URI:

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