Josephson current across a Double Quantum Dot Josephson junction in T-Shape Configuration


  • Bhupendra Kumar
  • Sachin Verma Department of Physics, Indian Institute of Technology Roorkee, India
  • Ajay Department of Physics, Indian Institute of Technology Roorkee, India



Josephson junction, electronic transport, transport properties


By implementing the Keldysh non-equilibrium Green's function equation of motion approach, Josephson current has been examined across a T-shaped uncorrelated double quantum dot Josephson junction. The behavior of the Josephson current as a function of the main quantum dot energy level for varied interdot tunneling and different dot-lead coupling strengths is examined. With this configuration, we illustrate that the side-attached quantum dot offers an alternative route for electron transmission, which modifies the Josephson current by varying interdot tunneling. Further, we also investigate how the dot-lead coupling strengths affect the Josephson current.


R. C. Jaklevic, J. Lambe, A. H. Silver, and J. E. Mercereau, “Quantum interference effects in josephson tunnelling”, Phys. Rev. Lett. 12, 159 (1964).

W.-J. Gong, Y.-L. Zhu, X.-Q. Wang, and H.-N. Wu, “Enhancement of the cooper-pair splitting in the fano interferometer”, Europhysics Letters 114, 47010 (2016).

J. Clarke and F. K. Wilhelm, “Superconducting quantum bits”, Nature 453, 1031 (2008).

Kastner, “Artificial atoms”, Phys. Lett. 1, 251–253 (1962).

A. Mart´ın-Rodero and A. Levy Yeyati, “Josephson and andreev transport through quantum dots”, Advances in Physics 60, 899 (2011).

D. Franceschi et al., “Hybrid superconductor–quantum dot devices”, Nature nanotechnology 5, 703 (2010).

Y. Zhu, Q.-f. Sun, and T.-h. Lin, “Andreev bound states and the π-junction transition in a superconductor/quantumdot/superconductor system”, Journal of Physics: Condensed Matter 13, 8783 (2001).

C. Karrasch, A. Oguri, and V. Meden, “Josephson current through a single anderson impurity coupled to bcs leads”, Physical Review B 77, 024517 (2008).

A. Dhyani, B. Tewari, et al., “Interplay of the single particle and josephson cooper pair tunneling on supercurrent across the superconducting quantum dot junction”, Physica E: Low-dimensional Systems and Nanostructures 42, 162


J. A. Van Dam, Y. V. Nazarov, E. P. Bakkers, S. De Franceschi, and L. P. Kouwenhoven, “Supercurrent reversal in quantum dots”, Nature 442, 667 (2006).

Y. Ma, T. Cai, X. Han, Y. Hu, H. Zhang, H. Wang, L. Sun, Y. Song, and L. Duan, “Andreev bound states in a few-electron quantum dot coupled to superconductors”, Physical Review B 99, 035413 (2019).

D. Szombati, S. Nadj-Perge, D. Car, S. Plissard, E. Bakkers, and L. Kouwenhoven, “Josephson φ0-junction in nanowire quantum dots”, Nature Physics 12, 568 (2016).

S.-g. Cheng and Q.-f. Sun, “Josephson current transport through t-shaped double quantum dots”, Journal of Physics: Condensed Matter 20, 505202 (2008).

S. Droste, S. Andergassen, and J. Splettstoesser, “Josephson current through interacting double quantum dots with spin–orbit coupling”, Journal of Physics: Condensed Matter 24, 415301 (2012).

J. E. Saldana, A. Vekris, G. Steffensen, R. Zitko, P. Krogstrup, J. Paaske, K. Grove-Rasmussen, and J. Nygard, “Supercurrent in a double quantum dot”, Physical review letters 121, 257701 (2018).

M. Lee, R. Lopez, R. Aguado, M.-S. Choi, et al., “Josephson current in strongly correlated double quantum dots”, Physical review letters 105, 116803 (2010).

R. Lopez, M.-S. Choi, and R. Aguado, “Josephson current through a kondo molecule”, Physical Review B 75, 045132 (2007).

G. Rajput, R. Kumar, et al., “Tunable josephson effect in hybrid parallel coupled double quantum dot-superconductor tunnel junction”, Superlattices and Microstructures 73, 193 (2014).

H. Haug, A.-P. Jauho, et al., “Quantum kinetics in transport and optics of semiconductors”, Vol. 2 (Springer, Berlin, 2008).

L. V. Keldysh et al., “Diagram technique for nonequilibrium processes”, Sov. Phys. JETP 20, 1018 (1965).

B. Kumar, S. Verma, and Ajay, “Phase and thermal-driven transport across t-shaped double quantum dot josephson junction”, Journal of Superconductivity and Novel Magnetism 36, 831 (2023).



How to Cite

Kumar B, Sachin Verma, Ajay. Josephson current across a Double Quantum Dot Josephson junction in T-Shape Configuration. J. Cond. Matt. [Internet]. 2023 Dec. 1 [cited 2024 May 29];1(02):44-7. Available from: