Conductance quantization suppression in the quantum Hall regime

José M. Caridad, Stephen R. Power, Mikkel R. Lotz, Artsem A. Shylau, Joachim D. Thomsen, Lene Gammelgaard, Timothy J. Booth, Antti-Pekka Jauho, Peter Bøggild*

*Corresponding author for this work

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Abstract

Conductance quantization is the quintessential feature of electronic transport in non-interacting mesoscopic systems. This phenomenon is observed in quasi one-dimensional conductors at zero magnetic field B, and the formation of edge states at finite magnetic fields results in wider conductance plateaus within the quantum Hall regime. Electrostatic interactions can change this picture qualitatively. At finite B, screening mechanisms in narrow, gated ballistic conductors are predicted to give rise to an increase in conductance and a suppression of quantization due to the appearance of additional conduction channels. Despite being a universal effect, this regime has proven experimentally elusive because of difficulties in realizing one-dimensional systems with sufficiently hard-walled, disorder-free confinement. Here, we experimentally demonstrate the suppression of conductance quantization within the quantum Hall regime for graphene nanoconstrictions with low edge roughness. Our findings may have profound impact on fundamental studies of quantum transport in finite-size, two-dimensional crystals with low disorder.
Original languageEnglish
Article number659
JournalNature Communications
Volume9
Issue number1
Number of pages6
ISSN2041-1723
DOIs
Publication statusPublished - 2018

Cite this

@article{d9ff5062be654509af3c23dbfd4a295d,
title = "Conductance quantization suppression in the quantum Hall regime",
abstract = "Conductance quantization is the quintessential feature of electronic transport in non-interacting mesoscopic systems. This phenomenon is observed in quasi one-dimensional conductors at zero magnetic field B, and the formation of edge states at finite magnetic fields results in wider conductance plateaus within the quantum Hall regime. Electrostatic interactions can change this picture qualitatively. At finite B, screening mechanisms in narrow, gated ballistic conductors are predicted to give rise to an increase in conductance and a suppression of quantization due to the appearance of additional conduction channels. Despite being a universal effect, this regime has proven experimentally elusive because of difficulties in realizing one-dimensional systems with sufficiently hard-walled, disorder-free confinement. Here, we experimentally demonstrate the suppression of conductance quantization within the quantum Hall regime for graphene nanoconstrictions with low edge roughness. Our findings may have profound impact on fundamental studies of quantum transport in finite-size, two-dimensional crystals with low disorder.",
author = "Caridad, {Jos{\'e} M.} and Power, {Stephen R.} and Lotz, {Mikkel R.} and Shylau, {Artsem A.} and Thomsen, {Joachim D.} and Lene Gammelgaard and Booth, {Timothy J.} and Antti-Pekka Jauho and Peter B{\o}ggild",
year = "2018",
doi = "10.1038/s41467-018-03064-8",
language = "English",
volume = "9",
journal = "Nature Communications",
issn = "2041-1723",
publisher = "Nature Publishing Group",
number = "1",

}

Conductance quantization suppression in the quantum Hall regime. / Caridad, José M.; Power, Stephen R.; Lotz, Mikkel R.; Shylau, Artsem A.; Thomsen, Joachim D.; Gammelgaard, Lene; Booth, Timothy J.; Jauho, Antti-Pekka; Bøggild, Peter.

In: Nature Communications, Vol. 9, No. 1, 659, 2018.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Conductance quantization suppression in the quantum Hall regime

AU - Caridad, José M.

AU - Power, Stephen R.

AU - Lotz, Mikkel R.

AU - Shylau, Artsem A.

AU - Thomsen, Joachim D.

AU - Gammelgaard, Lene

AU - Booth, Timothy J.

AU - Jauho, Antti-Pekka

AU - Bøggild, Peter

PY - 2018

Y1 - 2018

N2 - Conductance quantization is the quintessential feature of electronic transport in non-interacting mesoscopic systems. This phenomenon is observed in quasi one-dimensional conductors at zero magnetic field B, and the formation of edge states at finite magnetic fields results in wider conductance plateaus within the quantum Hall regime. Electrostatic interactions can change this picture qualitatively. At finite B, screening mechanisms in narrow, gated ballistic conductors are predicted to give rise to an increase in conductance and a suppression of quantization due to the appearance of additional conduction channels. Despite being a universal effect, this regime has proven experimentally elusive because of difficulties in realizing one-dimensional systems with sufficiently hard-walled, disorder-free confinement. Here, we experimentally demonstrate the suppression of conductance quantization within the quantum Hall regime for graphene nanoconstrictions with low edge roughness. Our findings may have profound impact on fundamental studies of quantum transport in finite-size, two-dimensional crystals with low disorder.

AB - Conductance quantization is the quintessential feature of electronic transport in non-interacting mesoscopic systems. This phenomenon is observed in quasi one-dimensional conductors at zero magnetic field B, and the formation of edge states at finite magnetic fields results in wider conductance plateaus within the quantum Hall regime. Electrostatic interactions can change this picture qualitatively. At finite B, screening mechanisms in narrow, gated ballistic conductors are predicted to give rise to an increase in conductance and a suppression of quantization due to the appearance of additional conduction channels. Despite being a universal effect, this regime has proven experimentally elusive because of difficulties in realizing one-dimensional systems with sufficiently hard-walled, disorder-free confinement. Here, we experimentally demonstrate the suppression of conductance quantization within the quantum Hall regime for graphene nanoconstrictions with low edge roughness. Our findings may have profound impact on fundamental studies of quantum transport in finite-size, two-dimensional crystals with low disorder.

U2 - 10.1038/s41467-018-03064-8

DO - 10.1038/s41467-018-03064-8

M3 - Journal article

VL - 9

JO - Nature Communications

JF - Nature Communications

SN - 2041-1723

IS - 1

M1 - 659

ER -