“…As predicted more than 30 years ago [1], Josephson junctions can have a phase drop of π in the ground state. Such π junctions are now intensively investigated, as they have a great potential for applications in a broad range of devices ranging from classical digital circuits [2,3,4,5] to quantum bits [6,7,8,9]. Nowadays, π Josephson junctions can be fabricated by various technologies, including junctions with a ferromagnetic barrier [10,11,12,13,14,15,16,17,18], quantum dot junctions [19,20,21] and nonequilibrium superconductor-normal metal-superconductor Josephson junctions [22,23,24] In the simplest case the supercurrent density j s across the junctions is given by the first Josephson relation…”