  Ferromagnetism's ability to influence superconducting order is well known and
well established, but the converse phenomena remains relatively less explored.
Theoretical work on the subject includes Anderson and Suhl prediction of a
crypto-ferromagnetic state, and De Gennes proposal of two ferromagnetic
insulators exchange coupled through a superconductor. In this study, we present
compelling evidence of coexistence of both phenomena in a superconducting spin
valve system. We demonstrate that superconducting exchange coupling enables
reliable bistable states, and the coexistence of SEC and CFM leads to a wide
range of reproducible zero field micro-magnetic states in the SSV, which are a
function of the strength of the superconducting state. These micromagnetic
states can in turn influence the superconducting state, leading to multiple
reproducible and non-volatile resistance states; thus paving the way for a
novel direction in cryogenic in-memory computing.
