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Josephson transport across T-shaped and series-configured double quantum dots system at infinite-\(\textit{U}\) limit

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Abstract

The charge transport has been analyzed theoretically across a T-shaped and series-configured double quantum dots Josephson junction by implementing the Slave Boson mean field approximation at an infinite-\(\textit{U}\) limit. It has been shown that Andreev bound states and Josephson current can be tuned by varying the interdot tunneling (t) and quantum dots energy level. For the T-shape configuration of the quantum dots, an extra path is available for the transport of electrons which causes the interference destruction between two paths. For decoupled quantum dots with energy level \(\epsilon _{d1}=\epsilon _{d2}=0\), the energy of Andreev bound states crosses at Fermi energy, and Josephson current shows a discontinuity at phase difference \(\phi =\pm \pi \). On the other hand, for coupled quantum dots the lower and upper Andreev bound states have a finite spacing, the Josephson current exhibits a sinusoidal nature and its magnitude suppresses with increasing interdot tunneling strength. While in the series configuration, with increment in interdot tunneling, Josephson current increases and shows a discontinuity at phase difference \(\phi =\pm \pi \), once the system gets resonant tunneling for \(t=0.5\Gamma \) with quantum dots energy level \(\epsilon _{d1}=\epsilon _{d2}=0.5\Gamma \). Further, we also analyze the nature of the energy of Andreev bound states and Josephson current with the quantum dots energy level in both configurations.

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Data related to this paper is stored in a data repository. The data can be provided upon reasonable request, the authors note.

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Acknowledgements

Authors offer their gratitude to the DST-SER-1644-PHY 2021-22 research project for financial support. Bhupendra Kumar, a research scholar in the Department of Physics, IIT Roorkee, also acknowledges the support from the Ministry of Education (MoE), India in the form of a Ph.D. fellowship.

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  1. Department of Physics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247667, India

    Bhupendra Kumar, Sachin Verma, Tanuj Chamoli &  Ajay

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  1. Bhupendra Kumar
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The concept was put forth by Ajay, who also monitored the project. The idea was put forward by Bhupendra Kumar, who also carried out the calculations. Sachin Verma and Tanuj Chamoli discussed the findings and helped to write the final article.

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Correspondence to Bhupendra Kumar.

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Kumar, B., Verma, S., Chamoli, T. et al. Josephson transport across T-shaped and series-configured double quantum dots system at infinite-\(\textit{U}\) limit. Eur. Phys. J. B 96, 168 (2023). https://doi.org/10.1140/epjb/s10051-023-00640-w

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