The key component of state-of-the-art magnetic memories and sensors is a device called a spin valve, whose electrical resistance depends on the relative alignment of the magnetizations of two thin ferromagnetic elements. Researchers are interested in developing superconducting analogs of the spin valve to be used in “cryogenic memory” technologies that consume little power and dissipate little heat. In this case, changing the relative alignment of the two ferromagnets shifts the transition temperature Tc of an adjacent thin superconducting layer—an effect that can be used to turn the superconducting state on (or off) and lower (or raise) the device’s total resistance. But so far, the