Sideways Tunnelling and Fractional Josephson Frequency in Double Layered Quantum Hall Systems

Details Sideways Tunnelling and Fractional Josephson Frequency in Double Layered Quantum Hall Systems Sideways Tunnelling and Fractional Josephson Frequency in Double Layered Quantum Hall Systems

1994-02-04

arxiv.org/abs/cond-mat/9402025v1

Europhys. Lett., 35, 227 (1996)

Physics

Condensed Matter

8 pages, 1 figure (not included), Plain TeX, mit-cmt-1993

Scientific paper

10.1209/epl/i1996-00559-8

The $(kkk)$ double layered quantum Hall state has been shown to exhibit many superfluid properties including the appearance of an alternating tunnelling current in response to an external voltage V. Here we propose the notion of "sideways tunnelling", in which a current tunnels between two such $(kkk)$ states through an incompressible fractional quantum Hall state $(mm0)$. We predict the tunnelling current will alternate with a frequency $\om={eV{\o}\hbar m}$, as a consequence of the tunnelling of $e/m$ fractional charges. We also discuss singularities in the tunnelling current noise spectrum and the non-linear I-V curve.

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