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TT: Fachverband Tiefe Temperaturen

TT 17: Topology: Quantum Hall Systems

TT 17.3: Invited Talk

Monday, March 27, 2023, 17:15–17:45, HSZ 304

Noise signatures of anyon statistics and Andreev scattering in the ν=1/3 fractional quantum Hall regime — •Anne Anthore, Pierre Glidic, Olivier Maillet, Colin Piquard, Abdel Aassime, and Frédéric Pierre — U Paris Cité, U Paris-Saclay, CNRS, C2N, Palaiseau (France)

Anyons are exotic quasiparticles which can carry a fractional charge of an electron and with an exchange statistics inbetween that of fermions and bosons. These properties were revealed using quantum point contacts (QPC) in the fractional quantum Hall regime[1,2].

In this talk, I will report further noise investigation of anyon physics. Sourcing e/3 anyons at a first QPC, noise measured on a downstream "analyzer" QPC reveals different mechanisms. Setting the analyser to allow e/3 tunneling charges, we reproduce the negative cross-correlations previously observed2, indicative of a non-trivial anyon exchange phase[3]. When 1 e charges tunnel across the analyser, the braid phase is predicted to be trivial. Our observation of negative cross-correlations points on a scattering mechanism akin to Andreev reflection at Normal/Superconductor interfaces, as suggested in[4].

Remarkably, in both cases, electrical conduction across the analyzer conserves neither the nature nor the number of quasiparticles, rending the beam-splitter analogy of a QPC lapsed.
[1] L. Saminadayar et al., PRL 79, 2526 (1997)
[2] H. Bartolomei et al., Science 368, 173 (2020)
[3] B. Rosenow et al., PRL 116, 156802 (2016)
[4] C. L. Kane and M. P. A. Fisher, PRB 67, 045307 (2003)

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