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

Udit Khanna; Moshe Goldstein; Yuval Gefen

doi:10.1103/PhysRevLett.129.146801

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

Udit Khanna, Moshe Goldstein, Yuval Gefen

Research output: Contribution to journal › Article › peer-review

6 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 language	English
Article number	146801
Journal	Physical Review Letters
Volume	129
Issue number	14
DOIs	https://doi.org/10.1103/PhysRevLett.129.146801
State	Published - 30 Sep 2022
Externally published	Yes

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.

Funders	Funder number
German Israeli Foundation	I-118-303.1-2018
Minerva Foundation
Deutsche Forschungsgemeinschaft	MI 658/10-2, RO 2247/11-1
United States-Israel Binational Science Foundation	2016224, CRC 183
Tel Aviv University

Access to Document

10.1103/PhysRevLett.129.146801

Cite this

@article{e9450ff5ab6e434b9684e43852ab9fca,

title = "Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases",

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.",

author = "Udit Khanna and Moshe Goldstein and Yuval Gefen",

note = "Publisher Copyright: {\textcopyright} 2022 American Physical Society.",

year = "2022",

month = sep,

day = "30",

doi = "10.1103/PhysRevLett.129.146801",

language = "אנגלית",

volume = "129",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "14",

}

TY - JOUR

T1 - Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases

AU - Khanna, Udit

AU - Goldstein, Moshe

AU - Gefen, Yuval

PY - 2022/9/30

Y1 - 2022/9/30

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85140142128&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.129.146801

DO - 10.1103/PhysRevLett.129.146801

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

C2 - 36240414

AN - SCOPUS:85140142128

SN - 0031-9007

VL - 129

JO - Physical Review Letters

JF - Physical Review Letters

IS - 14

M1 - 146801

ER -

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

Abstract

Bibliographical note

Funding

Access to Document

Other files and links

Fingerprint

Cite this