Spatially modulated superconductivity describes a quantum state where the superconducting order parameter varies periodically in space. Traditionally associated with FFLO or PDW phases, such states imply that Cooper pairs carry finite momentum and break translational symmetry. In this talk, I will present a new perspective where the presence of a sublattice structure provides an intrinsic route to modulated superconductivity. This scenario, termed Sublattice Modulated Superconductivity, can be viewed as a scale-separated symmetry breaking: translational symmetry is broken at higher energies, followed by unconventional superconductivity modulated within the emergent sublattice pattern. I will discuss the microscopic mechanism based on finite-range pair hopping, the role of sublattice interference in amplifying such correlations, and insights from functional renormalization group calculations. Finally, I will connect these theoretical ideas to recent experimental realizations in iron-based and Kagome superconductors.

Inviter: Xian-Xin Wu