Josephson effect between p-wave superconductors with different orbital pairing symmetries

Anisotropy of p-wave Josephson junction

“…These results can be understood by investigating the symmetries of the internal phases. The sin 4φ relation for the current along the z direction has already been reported [27] and can be explained by the four-fold rotation symmetry of the internal phase difference in the k x -k y plane. Josephson current (17) can be expanded into power series [26,27]…”

“…The internal phases occur in the anisotropic superconductors where the quasi-particles moving along different directions have different wave vectors and thus feel different pair potentials. [28] The internal phases affect the tunneling spectra and the Josephson current significantly [27,28,33,34] and are obtained as…”

“…For example, when the orbital pairing symmetries of the two superconductors are different, the current phase relation in the equal spin pairing p-wave Josephson junction can be the π/2 periodic function sin 4φ. [27] In this paper, the anisotropy of the dc Josephson effect in the junctions consisting of two equal spin pairing p-wave FSs with different orbital pairing symmetries is investigated theoretically. The Josephson current is calculated from the Andreev reflection coefficients by a Furusaki-Tsukada-like formula.…”