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Seminar MCBT: Monday, 13th January 2025 at 2:00 pm

 

Régis Mélin (Institut Néel, ThQC team)

 

Title: From ballistic Andreev interferometers to ballistic multiterminal Josephson junctions

 

Institut Néel, Salle E424 (Salle Louis Weil)
 
 
Abstract: The progress in nanofabrication technology now allows fabricating all kinds of Josephson weak links connecting an arbitrary number of terminals. With my collaborators, as soon as 2011, I generalized to three terminals the Anderson and Josephson works which establish a connection between gauge invariance, the superconducting phase variables and the supercurrent [1]. The resulting microscopic process of the quartets involves a transient intermediate state supporting correlation among four fermions and coupling to the three-body quartet phase. This produces DC-resonance lines when the differential conductance is plotted as a function of the two independent bias voltages, which was observed in the three successive collaborations that were developed with the Lefloch’s group (Grenoble) in metallic devices [2], with the Heiblum’s group (Weizmann Institute) in semi- conducting nanowires [3] and with the Kim’s group (Harvard) in graphene [4].
In this talk, I will introduce the quartets and propose a general theoretical picture [5] for the voltage-biased ballistic 2D metal-based devices, that captures both features of the Kayyalha’s group experiment (Penn State) on three-terminal Andreev interferometers [6] and the Kim’s group experiment (Harvard) on four-terminal Josephson junctions [4]. This new approach is based on both physical ingredients of the spectrum and the electronic populations, starting from the long-junction limit. Their coupling to the two- or three-body Josephson or quartet modes is operated via a new nonlocal Keldysh process that we call as “phase-Andreev reflection” [6,7]. This extends the physics of Andreev interferometers to the ballistic limit and to the multiterminal Josephson effect.

[1] A. Freyn, B. Douçot, D. Feinberg R. Mélin, Phys. Rev. Lett. 106, 257005 (2011)
[2] A.H. Pfeffer, J.E. Duvauchelle, H. Courtois, R. Mélin, D. Feinberg and F. Lefloch, Phys. Rev. B 90, 075401 (2014)
[3] Y. Cohen, Y. Ronen, J.H. Kang, M. Heiblum, D. Feinberg, R. Mélin and H. Shtrikman, PNAS 3, 2018, 115 (27) 6991
[4] K.F. Huang, Y. Ronen, R. Mélin, D. Feinberg, K. Watanabe, T. Taniguchi and P. Kim, Nature Communications 13, 3032 (2022)
[5] R. Mélin, A.S. Rashid and M. Kayyalha, arXiv:2403.13669 (2024)
[6] A.S. Rashid, L. Yi, T. Taniguchi, K. Watanabe, N. Samarth, R. Mélin and M. Kayyalha, arXiv:2405.02975 (2024)