Berlin 2024 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 3: Topology: Quantum Hall Systems
TT 3.1: Talk
Monday, March 18, 2024, 09:30–09:45, H 2053
Current cross-correlations from an anyonic Mach-Zehnder interferometer — Sarthak Girdhar1,2,3, Diksha Garg2,3,4, •Thomas L. Schmidt3, and Edvin G. Idrisov3 — 1Tata Institute of Fundamental Research, Bengaluru, India — 2Indian Institute of Technology Bombay, Mumbai, India — 3Department of Physics and Materials Science, University of Luxembourg, Luxembourg — 4Bhabha Atomic Research Centre, Mumbai, India
Advances in hybrid mesoscopic devices have opened up new avenues for studying edge excitations in quantum Hall (QH) systems. Recent experimental breakthroughs have enabled the construction of anyonic colliders at both integer (ν=2) and fractional (ν=1/3) filling factors. Measurements of current cross-correlations and the generalized Fano factor at fractional fillings have demonstrated possible evidence of anyonic exclusion statistics for the constituent charge carriers. All these findings align with the theoretical predictions for the Laughlin state at ν=1/3.
In our work, we use the nonequilibrium bosonization technique to study the collision of two dilute beams of quasiparticles in chiral QH edge states at filling factors ν=1/(2n+1) in a Mach-Zehnder interferometer. The presence of two QPCs acting as beam splitters has some very interesting consequences, e.g., a modulation of the ordinary Aharonov-Bohm oscillations with the length difference between the two beam splitters in the chiral channels. We calculate the tunneling current, its zero frequency noise and the cross-correlation between the currents after scattering.
Keywords: Electron quantum optics; Quantum Hall interferometry; Anyonic statistics