Chiral electron-fluxon superconductivity in circuit quantum magnetostatics

We investigate electron paring in two-dimensional electron systems mediated by the vacuum fluctuations of a quantized magnetic flux generated by the inductor of an LC resonator. The interaction induces long-range attractive interactions between angular momentum states which lead to pairing in a broad class of materials with critical temperatures of few Kelvin or even higher, depending on the field-covered area. The induced state is a pair-density wave topological chiral superconductor. The proposed platform in circuit QED environment offers a tunable promising tool for engineering electron interactions in two-dimensional systems to create new quantum phases of matter.