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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

Yonatan Cohen, Yuval Ronen, Wenmin Yang, Daniel Banitt, Jinhong Park, Moty Heiblum (), Alexander D. Mirlin, Yuval Gefen and Vladimir Umansky
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Yonatan Cohen: Weizmann Institute of Science
Yuval Ronen: Weizmann Institute of Science
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
Yuval Gefen: Weizmann Institute of Science
Vladimir Umansky: Weizmann Institute of Science

Nature Communications, 2019, vol. 10, issue 1, 1-6

Abstract: 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.

Date: 2019
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DOI: 10.1038/s41467-019-09920-5

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