English

Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime

Mesoscale and Nanoscale Physics 2015-01-13 v1 Strongly Correlated Electrons

Abstract

It is well established that 'density reconstruction' at the edge of a two dimensional electron gas takes place for 'hole-conjugate' states in the fractional quantum Hall effect (such as ν=2/3,3/5,{\nu}=2/3, 3/5, etc.). Such reconstruction leads, after equilibration between counter propagating edge channels, to a downstream chiral current edge mode accompanied by upstream chiral neutral modes (carrying energy without net charge). Short equilibration length prevented thus far observation of the counter propagating current channels - the hallmark of density reconstruction. Here, we provide evidence for such non-equilibrated counter-propagating current channels, in short regions (l=4μm(l=4{\mu}m and l=0.4μm)l=0.4{\mu}m) of fractional filling ν=2/3{\nu}=2/3, and, unexpectedly, ν=1/3{\nu}=1/3, sandwiched between two regions of integer filling ν=1{\nu}=1. Rather than a two-terminal fractional conductance, the conductance exhibited a significant ascension towards unity quantum conductance (GQ=e2/h)(G_Q=e^2/h) at or near the fractional plateaus. We attribute this conductance rise to the presence of a non-equilibrated downstream ν=1{\nu}=1 channel in the fractional short regions.

Keywords

Cite

@article{arxiv.1409.6307,
  title  = {Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime},
  author = {Anna Grivnin and Hiroyuki Inoue and Yuval Ronen and Yuval Baum and Moty Heiblum and Vladimir Umansky and Diana Mahalu},
  journal= {arXiv preprint arXiv:1409.6307},
  year   = {2015}
}

Comments

9 pages, 4 figures, supplemental material