Supercurrent carried by nonequilibrium quasiparticles in a multiterminal Josephson junction

Abstract

We theoretically study coherent multiple Andreev reflections in a biased three-terminal Josephson junction. We demonstrate that the direct current flowing through the junction consists of supercurrent components when the bias voltages are commensurate. This dissipationless current depends on the phase in the superconducting leads and stems from the Cooper pair transfer processes induced by non-local Andreev reflections of the quasiparticles originating from the superconducting leads. We identify supercurrent-enhanced lines in the current and conductance maps of the recent measurement [Y. Cohen, et al., PNAS 115, 6991 (2018)] on a nanowire Josephson junction and show that the magnitude of the phase-dependent current components is proportional to the junction transparency with the power corresponding to the component order. arXiv:1811.00916v3 [cond-mat.mes-hall]

Multiterminal Josephson Effect

“…Recently, the physics of multiterminal ABSs became the subject of numerous theoretical proposals . The first category of proposals explores the band topology of multiterminal Josephson junctions [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. These papers explore the structure of the ABS energies in the (N − 1)dimensional Brillouin zone, where the phase differences ϕ j − ϕ N play a role of quasimomenta.…”

Engineering the Floquet spectrum of superconducting multiterminal quantum dots

“…We note that recent works aiming at probing these topological systems have been reported 16,17 . Experiments on multiterminal superconducting junctions have been already performed [18][19][20] , highlighting multiple Andreev reflections (MAR) involving more than two leads [21][22][23] as well as correlations between Cooper pairs [24][25][26][27][28] . In addition, ABS in the static regime have also been proposed to create triplet correlations using ferromagnetic wires in multiterminal configurations 29 , to study the effect of spin-orbit interactions in 1D systems coupled to superconducting leads 30 and to simulate Andreev molecules using two Josephson junctions in series 31 .…”

Superconductor/normal-metal/superconductor junction of topological superconductors revisited: Fractional Josephson current, fermion parity, and oscillating wavefunctions

“…Although the model calculated in this paper is non-interacting, it may be possible to discuss a Z 4 fractional Josephson effect if many-body interactions are taken into account [26][27][28][29][30][31]. As a technical aspect, our calculation method may be applicable to the topological physics of multi-terminal Josephson junctions, which has been discussed in recent studies [47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63].…”