Coulomb staircase in an asymmetrically coupled quantum dot

George McArdle; Rose Davies; Igor V Lerner; Igor Valery Yurkevich

doi:10.1088/1361-648X/acede0

Coulomb staircase in an asymmetrically coupled quantum dot

George McArdle
, Rose Davies
, Igor V Lerner^*
, Igor Valery Yurkevich

^*Corresponding author for this work

School of Physics & Astronomy, University of Birmingham, University of Birmingham, Birmingham, B15 2TT, UNITED KINGDOM OF GREAT BRITAIN AND NORTHERN IRELAND.
School of Physics & Astronomy, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UNITED KINGDOM OF GREAT BRITAIN AND NORTHERN IRELAND.
Aston University

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

3 Citations (Scopus)

41 Downloads (Pure)

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 - 29 Aug 2023

Bibliographical note

Copyright © 2023, The Author(s). Published by IOP Publishing LtdOriginal Content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence [https://creativecommons.org/licenses/by/4.0/]. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Funding

The authors 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).

Keywords

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

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10.1088/1361-648X/acede0Licence: CC BY 4.0

McArdle_et al_Coulomb staircase in an asymmetrically coupled quantum dot
Copyright © 2023, The Author(s). Published by IOP Publishing LtdOriginal Content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence [https://creativecommons.org/licenses/by/4.0/]. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Final published version, 395 KBLicence: CC BY 4.0

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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AU - Lerner, Igor V

AU - Yurkevich, Igor Valery

N1 - Copyright © 2023, The Author(s). Published by IOP Publishing LtdOriginal Content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence [https://creativecommons.org/licenses/by/4.0/]. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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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.

KW - quantum dots

KW - many-body localisation

KW - non-equilibrium systems

KW - Keldysh techniques

KW - Coulomb blockade

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Coulomb staircase in an asymmetrically coupled quantum dot

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Bibliographical note

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Keywords

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