Josephson junction with magnetic-field tunable current-phase relation

Abstract

We consider a 0-$\pi$ Josephson junction consisting of asymmetric 0 and $\pi$ regions of different lengths $L_0$ and $L_{\pi }$ having different critical current densities $j_{c,0}$ and $j_{c,\pi }$. If both segments are rather short, the whole junction can be described by an \emph{effective} current-phase relation for the spatially averaged phase $\psi$, which includes the usual term $\propto \sin (\psi )$, a \emph{negative} second harmonic term $\propto \sin (2\psi )$ as well as the unusual term $\propto H\cos \psi$ tunable by magnetic field $H$. Thus one obtains an electronically tunable current-phase relation. At H=0 this corresponds to the $\phi$ Josephson junction.

extension of already published theory to the case of unequal critical current densities

References in corpus (12)

• Supercurrent reversal in quantum dots
• Josephson junctions with negative second harmonic in the current-phase relation: properties of novel varphi-junctions
• 0-pi Josephson tunnel junctions with ferromagnetic barrier
• Critical Current 0-$\pi$ Transition in Designed Josephson Quantum Dot Junctions
• Experimental evidence of a ϕ Josephson junction
• High quality ferromagnetic 0 and pi Josephson tunnel junctions
• Memory cell based on a $\phi$ Josephson junction
• Phase retrapping in a pointlike $\phi$ Josephson junction: the Butterfly effect
• Phase diagram of geometric d-wave superconductor Josephson junctions
• Critical current diffraction pattern of SIFS Josephson junctions with step-like F-layer
• Magnetic field dependence of the critical current in YBa_2Cu_3O_{7-δ}/Au/Nb ramp-zigzag Josephson junctions
• Fractional vortex in asymmetric 0-$\pi$ long Josephson junctions

Cited by in corpus (6)

• Spin-polarized supercurrents for spintronics: a review of current progress
• Beyond Moore's technologies: operation principles of a superconductor alternative
• Tunable $\phi$ Josephson Junction ratchet
• Effective model for a short Josephson junction with a phase discontinuity
• Frustration driven Josephson phase dynamics
• Tunable ground states in helical $p$-wave Josephson junctions