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Particle conserving approach to ac-dc driven interacting quantum dots with superconducting leads
Siegl, Julian
, Picó-Cortés, Jordi
and Grifoni, Milena
(2023)
Particle conserving approach to ac-dc driven interacting quantum dots with superconducting leads.
Physical Review B 107 (11), p. 115405.
Date of publication of this fulltext: 27 Jun 2023 06:59
Article
DOI to cite this document: 10.5283/epub.54404
Abstract
The combined action of a dc bias and a microwave drive on the transport characteristic of a superconductorquantum dot-superconductor junction is investigated. To cope with time dependent nonequilibrium effects and interactions in the quantum dot, we develop a general formalism for the dynamics of the density operator based on a particle conserving approach to superconductivity. Without invoking a ...
The combined action of a dc bias and a microwave drive on the transport characteristic of a superconductorquantum dot-superconductor junction is investigated. To cope with time dependent nonequilibrium effects and interactions in the quantum dot, we develop a general formalism for the dynamics of the density operator based on a particle conserving approach to superconductivity. Without invoking a broken U(1) symmetry, we identify a dynamical phase connected to the coherent transfer of Cooper pairs across the junction. In the weak-coupling limit, we show that besides quasiparticle transport, proximity induced superconducting correlations manifest in anomalous pair tunneling involving the transfer of a Cooper pair. The resulting generalized master equation in presence of the microwave drive showcases the characteristic bichromatic response due to the combination of the ac Josephson effect and an ac voltage. Analytical expressions for all harmonics in the driving frequency of both the current and the reduced dot operator are given for arbitrary driving strength. For the net dc current, the resulting photon assisted processes give rise to rich current-voltage characteristics. In addition to photon assisted subgap transport, we find regions of total current inversion in the stability diagram. There, the junction acts as a pump with the net dc current flowing against the applied dc bias. The first harmonic of the current, being closely related to the nonlinear dynamic susceptibility of the junction, is discussed at finite applied dc bias.
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Siegl, Julian
, Picó-Cortés, Jordi
and Grifoni, Milena
(2023)
Particle conserving approach to ac-dc driven interacting quantum dots with superconducting leads.
Physical Review B 107 (11), p. 115405.
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Siegl, Julian
and Picó-Cortés, Jordi
(2023)
Data archive of: Particle conserving approach to ac-dc driven interacting quantum dots with superconducting leads.
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Details
| Item type | Article | ||||
| Journal or Publication Title | Physical Review B | ||||
| Publisher: | AMER PHYSICAL SOC | ||||
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| Open Access Type: | Due to SHERPA/RoMEO | ||||
| Place of Publication: | COLLEGE PK | ||||
| Volume: | 107 | ||||
| Number of Issue or Book Chapter: | 11 | ||||
| Page Range: | p. 115405 | ||||
| Date | 7 March 2023 | ||||
| Institutions | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni | ||||
| Identification Number |
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| Related URLs |
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| Keywords | ANDREEV BOUND-STATES; JOSEPHSON; TRANSPORT; RELAXATION; TRANSITION; IMBALANCE; NANOWIRE | ||||
| Dewey Decimal Classification | 500 Science > 530 Physics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-544045 | ||||
| Item ID | 54404 |
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