Numerical method for dc Josephson current between d-wave superconductors -: art. no. 052512

We develop a numerical method to calculate the de Josephson current between the d(x2-y2)-wave superconductors. The Josephson junctions are described by the Bogoliubov-de Gennes equation on the two-dimensional tight-binding lattice. The Josephson current is expressed by the Matsubara Green function which is computed by the recursive Green-function method. We find in d-wave-superconductor/dirty-normal-metal/d-wave-superconductor junctions that the ensemble average of the Josephson current disappears for all temperature regimes when the angle between the crystal axis and the normal of the junction interface is pi /4.