Coulomb staircase in an asymmetrically coupled quantum dot

G. McArdle; R. Davies; I. V. Lerner; I. V. Yurkevich

doi:10.1088/1361-648x/acede0

Coulomb staircase in an asymmetrically coupled quantum dot

G. McArdle, R. Davies, I. V. Lerner^*, I. V. Yurkevich

^*Corresponding author for this work

Physics and Astronomy

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Abstract

We investigate the Coulomb blockade in quantum dots asymmetrically coupled to the leads for an arbitrary voltage bias focusing on the regime where electrons do not thermalise during their dwell time in the dot. By solving the quantum kinetic equation, we show that the current–voltage characteristics are crucially dependent on the ratio of the Fermi energy to charging energy on the dot. In the standard regime when the Fermi energy is large, there is a Coulomb staircase which is practically the same as in the thermalised regime. In the opposite case of the large charging energy, we identify a new regime in which only one step is left in the staircase, and we anticipate experimental confirmation of this finding.

Original language	English
Article number	475302
Number of pages	7
Journal	Journal of Physics: Condensed Matter
Volume	35
Issue number	47
Early online date	29 Aug 2023
DOIs	https://doi.org/10.1088/1361-648x/acede0
Publication status	Published - 27 Nov 2023

Bibliographical note

Funding Information:
We gratefully acknowledge support from EPSRC under the Grant EP/R029075/1 (I V L) and from the Leverhulme Trust under the Grant RPG-2019-317 (I V Y).

Publisher Copyright:
© 2023 The Author(s). Published by IOP Publishing Ltd.

Keywords

non-equilibrium systems
quantum dots
Coulomb blockade
Keldysh techniques
many-body localisation

ASJC Scopus subject areas

General Materials Science
Condensed Matter Physics

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10.1088/1361-648x/acede0Licence: Creative Commons: Attribution (CC BY)

McArdleG2023CoulombFinal published version, 279 KBLicence: Creative Commons: Attribution (CC BY)

Cite this

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title = "Coulomb staircase in an asymmetrically coupled quantum dot",

abstract = "We investigate the Coulomb blockade in quantum dots asymmetrically coupled to the leads for an arbitrary voltage bias focusing on the regime where electrons do not thermalise during their dwell time in the dot. By solving the quantum kinetic equation, we show that the current–voltage characteristics are crucially dependent on the ratio of the Fermi energy to charging energy on the dot. In the standard regime when the Fermi energy is large, there is a Coulomb staircase which is practically the same as in the thermalised regime. In the opposite case of the large charging energy, we identify a new regime in which only one step is left in the staircase, and we anticipate experimental confirmation of this finding.",

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note = "Funding Information: We gratefully acknowledge support from EPSRC under the Grant EP/R029075/1 (I V L) and from the Leverhulme Trust under the Grant RPG-2019-317 (I V Y). Publisher Copyright: {\textcopyright} 2023 The Author(s). Published by IOP Publishing Ltd.",

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AU - McArdle, G.

AU - Davies, R.

AU - Lerner, I. V.

AU - Yurkevich, I. V.

N1 - Funding Information: We gratefully acknowledge support from EPSRC under the Grant EP/R029075/1 (I V L) and from the Leverhulme Trust under the Grant RPG-2019-317 (I V Y). Publisher Copyright: © 2023 The Author(s). Published by IOP Publishing Ltd.

PY - 2023/11/27

Y1 - 2023/11/27

N2 - We investigate the Coulomb blockade in quantum dots asymmetrically coupled to the leads for an arbitrary voltage bias focusing on the regime where electrons do not thermalise during their dwell time in the dot. By solving the quantum kinetic equation, we show that the current–voltage characteristics are crucially dependent on the ratio of the Fermi energy to charging energy on the dot. In the standard regime when the Fermi energy is large, there is a Coulomb staircase which is practically the same as in the thermalised regime. In the opposite case of the large charging energy, we identify a new regime in which only one step is left in the staircase, and we anticipate experimental confirmation of this finding.

AB - We investigate the Coulomb blockade in quantum dots asymmetrically coupled to the leads for an arbitrary voltage bias focusing on the regime where electrons do not thermalise during their dwell time in the dot. By solving the quantum kinetic equation, we show that the current–voltage characteristics are crucially dependent on the ratio of the Fermi energy to charging energy on the dot. In the standard regime when the Fermi energy is large, there is a Coulomb staircase which is practically the same as in the thermalised regime. In the opposite case of the large charging energy, we identify a new regime in which only one step is left in the staircase, and we anticipate experimental confirmation of this finding.

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KW - many-body localisation

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Coulomb staircase in an asymmetrically coupled quantum dot

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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