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Synthesizing a ν=2/3 fractional quantum Hall effect edge state from counter-propagating ν=1 and ν=1/3 states

Author

Listed:
  • Yonatan Cohen

    (Weizmann Institute of Science)

  • Yuval Ronen

    (Weizmann Institute of Science
    Harvard University)

  • Wenmin Yang

    (Weizmann Institute of Science)

  • Daniel Banitt

    (Weizmann Institute of Science)

  • Jinhong Park

    (Weizmann Institute of Science)

  • Moty Heiblum

    (Weizmann Institute of Science)

  • Alexander D. Mirlin

    (Karlsruhe Institute of Technology
    L.D. Landau Institute for Theoretical Physics RAS)

  • Yuval Gefen

    (Weizmann Institute of Science)

  • Vladimir Umansky

    (Weizmann Institute of Science)

Abstract

Topological edge-reconstruction occurs in hole-conjugate states of the fractional quantum Hall effect. The frequently studied filling factor, ν = 2/3, was originally proposed to harbor two counter-propagating modes: a downstream v = 1 and an upstream v = 1/3. However, charge equilibration between these two modes always led to an observed downstream v = 2/3 charge mode accompanied by an upstream neutral mode. Here, we present an approach to synthetize a v = 2/3 edge mode from its basic counter-propagating charged constituents, allowing a controlled equilibration between the two counter-propagating charge modes. This platform is based on a carefully designed double-quantum-well, which hosts two populated electronic sub-bands (lower and upper), with corresponding filling factors, vl and vu. By separating the 2D plane to two gated intersecting halves, each with different fillings, counter-propagating chiral modes can be formed along the intersection line. Equilibration between these modes can be controlled with the top gates’ voltage and the magnetic field.

Suggested Citation

  • Yonatan Cohen & Yuval Ronen & Wenmin Yang & Daniel Banitt & Jinhong Park & Moty Heiblum & Alexander D. Mirlin & Yuval Gefen & Vladimir Umansky, 2019. "Synthesizing a ν=2/3 fractional quantum Hall effect edge state from counter-propagating ν=1 and ν=1/3 states," Nature Communications, Nature, vol. 10(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-09920-5
    DOI: 10.1038/s41467-019-09920-5
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