https://doi.org/10.1140/epjb/s10051-022-00425-7
Regular Article - Solid State and Materials
Josephson transport through parallel double coupled quantum dots at infinite-U limit
Department of Physics, Indian Institute of Technology, 247667, Roorkee, Uttarakhand, India
Received:
17
May
2022
Accepted:
13
September
2022
Published online:
30
September
2022
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 
ratios. For decoupled QDs 
, ABSs show a behaviour as if single QD and Josephson current shows discontinuities with reversal of sign indicating phase transition. For finite values of 
, ABSs induced on each dot hybridize to form an Andreev molecular state and Josephson current becomes continuous. For larger ratio, Josephson current shows sinusoidal behaviour. Further, Phase diagrams for supercurrent are plotted as a function of and superconducting phase difference. ‘0’ to ‘
’-phase transition can be observed in phase diagram plot.
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