Holographic Josephson Junctions

3He Josephson Junctions

The flow of superfluid 3He-B through a 65 3 65 array of nanometer-size apertures has been measured recently by Backhaus et al. They find in the current-phase relation a new branch, the so-called p state. We study two limiting cases which show that the p state arises from the coupling of the phase degree of freedom to the spin-orbit rotation. The p state exists in a single large aperture, but is...

Topological Josephson φ0 junctions

Superelliptic Josephson Tunnel Junctions

The most important practical characteristic of a Josephson junction is its critical current. The shape of the junction determines the specific form of the magnetic-field dependence of the its Josephson current. Here we address the magnetic diffraction patterns of specially shaped planar Josephson tunnel junctions. We focus on a wide ensemble of generalized ellipses, called superellipses, which ...

Josephson Junctions with Minimal Length

The minimal length of “one-dimensional” Josephson junctions, in which the specific bound states of the magnetic flux retain their stability is discussed numerically. Thereby, we consider as “long” every Josephson junction, in which there exists at least one nontrivial stable distribution of the magnetic flux for fixed values of all the physical and the geometrical parameters. Our results can be...

Kinky Behavior in Josephson Junctions

We analyze nonperturbatively the behavior of a Josephson junction in which two BCS superconductors are coupled through an Anderson impurity. We recover earlier perturbative results which found that a δ = π phase difference is preferred when the impurity is singly occupied and the on-site Coulomb interaction is large. We find a novel intermediate phase in which one of δ = 0 and δ = π is stable w...