Josephson transport through parallel double coupled quantum dots at infinite-U limit

Tanuj Chamoli () and Ajay ()
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Tanuj Chamoli: Indian Institute of Technology
Ajay: Indian Institute of Technology

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 9, 1-8

Abstract: Abstract Josephson transport is studied through parallel double coupled quantum dots (DQDs) connected to BCS superconducting leads employing infinite-U Slave Boson mean field approach. Andreev bound states (ABSs) as well as Josephson current have been analyzed for various interdot coupling (t) to dot-lead coupling $$(\Gamma )$$ ( Γ ) ratios. For decoupled QDs $$(t/\Gamma =0)$$ ( t / Γ = 0 ) , ABSs show a behaviour as if single QD and Josephson current shows discontinuities with reversal of sign indicating phase transition. For finite values of $$t/\Gamma $$ t / Γ , ABSs induced on each dot hybridize to form an Andreev molecular state and Josephson current becomes continuous. For larger $$t/\Gamma $$ t / Γ ratio, Josephson current shows sinusoidal behaviour. Further, Phase diagrams for supercurrent are plotted as a function of $$t/\Gamma $$ t / Γ and superconducting phase difference. ‘0’ to ‘ $$\pi $$ π ’-phase transition can be observed in phase diagram plot. Graphic abstract

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00425-7

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