Diamond-shaped evolution of the superconducting interference pattern in NbTiN weak-link Josephson junctions

Introducing an in-plane magnetic field into Josephson junctions is of fundamental significance in exploring a variety of interesting physical phenomena. However, extra care must be paid in realistic experiments involving an in-plane magnetic field, because trivial orbital effect due to, e.g., rippled structures can inevitably be introduced, which could produce false effect confusing the expected physical phenomena. In this work, we report a diamond-shaped evolution of the critical supercurrent in an in-plane magnetic field in NbTiN weak-link Josephson junctions. Upon application of an in-plane magnetic field perpendicular to the current, the superconducting interference pattern exhibits a characteristic evolution, which manifests as a diamond block diagram featured with each node opened and stretched out in a V-shape, mimicking the suppression-recovery patterns of critical supercurrent related to the Zeeman-driven 0-pi transition. However, the effect of Zeeman splitting plays a negligible role due to the relatively small magnetic field involved in our experiment. Therefore, we explore the trivial orbital effect of rippled structures and further take into account non-uniform current distributions pertaining in our junctions. We find that the ripples in combination with specific current distributions can give rise to a similar evolution pattern as the experimental observations. Our results serve as a caution that the combined effect of rippled structures and non-homogeneous current distributions should be taken seriously for experiments subjected by in-plane magnetic fields.