Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases

Udit Khanna, Moshe Goldstein, Yuval Gefen

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Chiral gapless boundary modes are characteristic of quantum Hall (QH) states. For hole-conjugate fractional QH phases counterpropagating edge modes (upstream and downstream) are expected. In the presence of electrostatic interactions and disorder these modes may renormalize into charge and upstream neutral modes. Orthodox models of Laughlin phases anticipate only a downstream charge mode. Here we show that in the latter case, in the presence of a smooth confining potential, edge reconstruction leads to the emergence of pairs of counterpropagating modes, which, by way of mode renormalization, may give rise to nontopological upstream neutral modes, possessing nontrivial statistics. This may explain the experimental observation of ubiquitous neutral modes, and the overwhelming suppression of anyonic interference in Mach-Zehnder interferometry platforms. We also point out other signatures of such edge reconstruction.

Original languageEnglish
Article number146801
JournalPhysical Review Letters
Volume129
Issue number14
DOIs
StatePublished - 30 Sep 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022 American Physical Society.

Funding

We acknowledge useful discussions with Moty Heiblum. U. K. was supported by the Raymond and Beverly Sackler Faculty of Exact Sciences at Tel Aviv University and by the Raymond and Beverly Sackler Center for Computational Molecular and Material Science. M. G. was supported by the US-Israel Binational Science Foundation (Grant No. 2016224). Y. G. was supported by CRC 183 (project C01), the Minerva Foundation, DFG Grant No. RO 2247/11-1, MI 658/10-2, the German Israeli Foundation (Grant No. I-118-303.1-2018), and the Helmholtz International Fellow Award.

FundersFunder number
German Israeli FoundationI-118-303.1-2018
Minerva Foundation
Deutsche ForschungsgemeinschaftMI 658/10-2, RO 2247/11-1
United States-Israel Binational Science Foundation2016224, CRC 183
Tel Aviv University

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