Josephson effect betweenswave anddx2-y2wave superconductors

Abstract

The phase (φ) dependence of the Josephson current I(φ) between s wave and ${\mathit{d}}_{\mathit{x}}^2$-${\mathit{y}}^2$ wave superconductors is predicted to be sin(2φ), when the junction is formed along the c axis. This dependence is also obtained when the misorientation angle between the interface and the a(b) axis of the ${\mathit{d}}_{\mathit{x}}^2$-${\mathit{y}}^2$ superconductor is 45° in the a-b plane contact junction. In such cases, critical current ${\mathit{I}}_{\mathit{c}}$ is proportional to ${\mathit{T}}_{\mathit{c}}$-T near the transition temperature ${\mathit{T}}_{\mathit{c}}$. The anomalous magnetic flux dependence of ${\mathit{I}}_{\mathit{c}}$ of the corner junction by Wollman is also predicted.