Shot Noise Fano Factor: Bulk or Edge Property

ORAL

Abstract

The quasiparticle charge in the Fractional Quantum Hall effect (FQHE) has long been measured via quantum shot-noise measurements. Here, we demonstrate that the standard Fano factor of shot noise (F=1 for integers), stemming from either weakly backscattered charged quasiparticle (in a QPC) at low temperature (T∼10 mK), with or without accompanying neutral modes, depends only on the bulk filling away from the QPC and not on the structure (and conductance) of the edge modes or the filling factor within the QPC constriction. We employed a novel method in which two different QHE bulks’ fillings are interfaced, thus giving birth to novel 1D chiral modes at the interface. The interface modes have an ‘effective filling’ (edge conductance), which is different from the filling of each of the interfacing bulks, and moreover, different from the filling within the QPC constriction. Our results are explained within a new theoretical paradigm for shot noise.

*M.H. acknowledges the support of the European Research Council under the European Community’s Seventh Framework Program (FP7/2007-2013)/ERC under grant agreement number 713351, the partial support of the Minerva Foundation with funding from the Federal German Ministry for Education and Research, under grant number 713534.Y.G. acknowledges the support of CRC 183 (project C01), the Minerva Foundation, DFG grant No.RO 2247/11-1, MI 658/10-2, GIF I-118-303.1-2018.M.G. acknowledges the support of ISF and DDR&D 3427/21.A.D. acknowledges the support of German-Israeli Foundation Grant No. I-1505-303.10/2019, Israel PBC, Weizmann Institute of Science Dean of Faculty fellowship.

Presenters

  • Sourav Biswas

    • Weizmann Institute of Science

Authors

  • Sourav Biswas

    • Weizmann Institute of Science
  • Rajarshi Bhattacharyya

    • University of California, San Diego
  • Hemanta Kumar K Kundu

    • Weizmann Institute of Science
    • weizmann institute of science
    • Department of Condensed Matter Physics, Braun Center of Sub-Micron Research Weizmann Institute of Science, Israel
  • Ankur Das

    • Weizmann Institute of Science
  • Mordehai (Moty) Heiblum

    • Weizmann Institute of Science
    • Department of Condensed Matter Physics, Braun Center of Sub-Micron Research Weizmann Institute of Science, Israel
  • Vladimir Umansky

    • Weizmann Institute of Science
    • Department of Condensed Matter Physics, Braun Center of Sub-Micron Research Weizmann Institute of Science, Israel
  • Moshe Goldstein

    • Tel Aviv University
  • Yuval Gefen

    • Weizmann Institute of Science