Magnetic field dependence of the DC critical currents in Josephson junctions shows Fraunhofer-type interference patterns. This magnetic interference is important for applications such as superconducting quantum interference devices. Miller et al. [1] reported that the cross-type junctions show no magnetic interference in perpendicular magnetic field. It has been reported that the DC critical currents of cross-type junctions with homogeneous critical current density in oblique magnetic fields exhibit anomalous magnetic interference [2].
In this study, we extend our earlier work [2] to consider the effect of the inhomogeneous critical current density Jc in cross-type junctions. We assume that the self-field and the magnetic screening current are sufficiently small. Figure 1 shows the dependence of the DC critical currents Ic on two-dimensional oblique magnetic fields, parallel Φx and perpendicular magnetic flux Φz . When Jc is homogeneous [Fig. 1(a)], magnetic interference disappears when the perpendicular field is large, |Φz| > |2 Φx| [2]. When Jc is large near the outer edges of the junction plane [Fig. 1(b)], on the other hand, magnetic interference appears even when the perpendicular field is large. In our presentation, we will also show about the magnetic interference of cross-type junctions with inhomogeneous Jc exposed to three-dimensional oblique magnetic fields.
Fig.1 Contour plots of the critical current Ic(Φx , Φz ) / Ic0 as the function of parallel Φx / Φ0 and perpendicular magnetic flux Φz / Φ0 in cross-type junctions (a) for homogeneous Jc and (b) for inhomogeneous Jc, where Φ0 is flux quantum and Ic0 = Ic(0,0) is the critical current at zero field.
[1] S. L. Miller, K. R. Biagi, J. R. Clem, and D. K. Finnemore, Phys. Rev. B 31, 2684 (1985).
[2] Y. Mawatari, J. Phys. D: Appl. Phys. 55, 200002 (2022)
[3] T. Ueda, E. S. Otabe, and Y. Mawatari, ISS2022, ED5-3, Nov. 29–Dec. 1, 2022, Nagoya, Japan.
This study is supported by JSPS Grant-in-Aid for Scientific Research 20K05314