A new paradigm of universal Fano factor on and off conductance plateaus in quantum Hall systems: experiment and theory

ORAL

Abstract

The orthodox framework to account for shot noise in quantum transport relies on electron beam partitioning. This is the case for quantum Hall (QH) platforms in the presence of a quantum point contact (QPC). Consequently one expects vanishing noise on a conductance plateau, where each chiral edge mode is either fully transmitted or entirely backscattered, hence no beam partitioning. Surprisingly, recent experiments on diverse quantum Hall phases and disparate geometries reveal on-the-plateau shot noise with the Fano factor being equal to the bulk filling fraction (rather than the quasi-particle charge).

To account for these observations we present a new theoretical paradigm of shot noise that relies on the ubiquitous presence of counter-propagating neutral edge modes (``neutralons") at the edge. These neutrals may be of either a topological (hole-like filling fractions) or edge reconstruction (particle-like or integer filling fractions) origin. We show that even on an intermediate transmission plateau within the QPC shot noise can be generated via creating and then annihilating neutralons, leading to a Fano factor which is equal to the bulk filling fraction. This Fano factor remains robust even off the conductance plateau.

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

Presenters

  • Ankur Das

    • 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