Coupled lattice-charge-magnetic fluctuations for nonlocal flux mediated pairing in cuprate superconductors

Dynamic charge transfers, or charge flux oscillations, generated by anharmonic phonon coupling, have attracted increasing interest in cuprate superconductors. In this article, a new computational method is developed to analyze such charge fluxes along all atomic bonds for a given material, which unveils a surprising fact that cuprate materials with high superconducting transition temperature show a strong tendency to support global charge flux flows beyond local charge oscillations. Such fluxes further show a strong correlation with both the maximum superconducting transition temperature of different cuprate families and the strong magnetic fluctuations as well. Motivated by these findings, we construct a charge flux model derived from quantum field theory to evaluate the effective interactions mediated by these flux flows. Finally, we discuss the implications of this flux-driven pairing mechanism for the design of new high-T_c superconductors, offering a potential strategy for discovering higher T_c superconductive materials.