We consider theoretically a Josephson junction with a superconducting critical current density which has a random sign along the junction's surface. We show that the ground state of the junction corresponds to the phase difference equal to \pi/2. Such a situation can take place in superconductor- ferromagnet junction.
@article{arxiv.cond-mat/9910048,
title = {A theory of \pi/2 superconducting Josephson junctions},
author = {A. Zyuzin and B. Spivak},
journal= {arXiv preprint arXiv:cond-mat/9910048},
year = {2009}
}