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arXiv · 1406.4517

Probing the $\nu=2/3$ fractional quantum Hall edge by momentum-resolved tunneling

Hendrik Meier·Yuval Gefen·Leonid I. Glazman
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Abstract

The nature of the fractional quantum Hall state with filling factor $\nu=2/3$ and its edge modes continues to remain an open problem in low-dimensional condensed matter physics. Here, we suggest an experimental setting to probe the $\nu=2/3$ edge by tunnel-coupling it to a $\nu=1$ integer quantum Hall edge in another layer of a two-dimensional electron gas (2DEG). In this double-layer geometry, the momentum of tunneling electrons may be boosted by an auxiliary magnetic field parallel to the two planes of 2DEGs. We evaluate the current as a function of bias voltage and the boosting magnetic field. Its threshold behavior yields information about the spectral function of the $\nu=2/3$ edge, in particular about the nature of the chiral edge modes. Our theory accounts also for the effects of Coulomb interaction and disorder.

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Hendrik Meier, Yuval Gefen, Leonid I. Glazman. 2014-06-17. Probing the $\nu=2/3$ fractional quantum Hall edge by momentum-resolved tunneling. https://doi.org/10.1103/physrevb.90.081101

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