Lattice model calculations for d(x2-y2)-wave Josephson junctions

The Josephson current-phase relations in d-wave/d-wave superconductor junct ions in the tunnel limit are studied using the two-dimensional t-J model. T he order parameters are determined in a self-consistent way within the Gutz willer approximation and the Bogoliubov-de Gennes theory. We find that the anomalous current-phase relation in (110) junctions obtained within a quasi classical theory is qualitatively reproduced with microscopic model calcula tions. Our method can be applied to grain boundary junctions in which the a tomic scale roughness should be taken into account. (C) 2001 Elsevier Scien ce B.V. All rights reserved.