Josephson junction dynamics in the presence of 2π - And 4π -periodic supercurrents

Josephson junction dynamics in the presence of 2π - And 4π -periodic supercurrents

Domínguez, F. (University of Würzburg)
Kashuba, O (University of Würzburg)
Bocquillon, E (University of Würzburg; Université Paris Diderot-Sorbonne Paris Cité)
Wiedenmann, J (University of Würzburg)
Deacon, R. S. (RIKEN Center for Emergent Matter Science (CEMS))
Klapwijk, T.M. (TU Delft QN/Klapwijk Lab)
Platero, G (Instituto de Ciencia de Materiales de Madrid (ICMM))
Molenkamp, Laurens W. (University of Würzburg)
Trauzettel, B. (University of Würzburg)
Hankiewicz, E. M. (University of Würzburg)

2017-05-30

We investigate theoretically the dynamics of a Josephson junction in the framework of the resistively shunted junction model. We consider a junction that hosts two supercurrent contributions: a 2π and a 4π periodic in phase, with intensities I2π and I4π, respectively. We study the size of the Shapiro steps as a function of the ratio of the intensity of the mentioned contributions, i.e., I4π/I2π. We provide detailed explanations where to expect clear signatures of the presence of the 4π-periodic contribution as a function of the external parameters: the intensity ac bias Iac and frequency ωac. On the one hand, in the low ac-intensity regime (where Iac is much smaller than the critical current Ic), we find that the nonlinear dynamics of the junction allows the observation of only even Shapiro steps even in the unfavorable situation where I4π/I2π1. On the other hand, in the opposite limit (IacIc), even and odd Shapiro steps are present. Nevertheless, even in this regime, we find signatures of the 4π supercurrent in the beating pattern of the even step sizes as a function of Iac.

http://resolver.tudelft.nl/uuid:3a4a9134-9b88-4677-9429-20370526ff47

https://doi.org/10.1103/PhysRevB.95.195430

1098-0121

Physical Review B (Condensed Matter and Materials Physics), 95 (19)

Institutional Repository

journal article

© 2017 F. Domínguez, O Kashuba, E Bocquillon, J Wiedenmann, R. S. Deacon, T.M. Klapwijk, G Platero, Laurens W. Molenkamp, B. Trauzettel, E. M. Hankiewicz