Discrete-lattice model approach to the tunneling between d-wave superconductors: interference of tunnel bonds
A. M. Bobkov
Institute of Solid State Physics, 142432 Chernogolovka, Moscow reg., Russia
PACS: 74.50.+r, 74.81.-g
Abstract
The Josephson current between d-wave superconductors is
investigated in the framework of tight-binding lattice model. The
junction is modelled by a small number of connecting bonds. It is
obtained that the Josephson current through one bond vanishes when
at least one of the superconductors has (110)
interface-to-crystal orientation. Interference between the nearest
bonds is appeared to be very important. In particular, it is the
interference term that leads to the nonzero Josephson current for
(110) orientation. Also, interference of two connecting bonds
manifests itself in non-monotonic behavior of the critical
Josephson current in dependence on the distance between the
bonds.