Current amplification with vertical Josephson interferometers

It has long been recognized that a control current I(a) injected into the section of a two-junction superconducting quantum interference device is able to produce a change of its critical current I(c), so that a current gain g = |dI(c)/dI(a)| can be identified. We investigate the circumstances under which large gains can be achieved by using vertical Josephson interferometers, which are characterized by small loop inductances. We discuss the theory of operation of such a device, its performances, and its advantages with respect to planar interferometers used in the previous works. Two potential applications are addressed.