Electronic Structure of Topological Defects in the Pair-Density-Wave (PDW) Superconductor

The cuprates display a rich phase diagram supporting many kinds of orders, some of which co-exist. Generically, certain regions of the cuprates phase diagrams support both charge-density-wave (CDW) and superconducting (SC) orders, which are typically thought of as competing with one another. It has been proposed that certain CDWs are composite order parameters secondary to an elusive phase of matter: the pair-density-wave (PDW) state. The PDW is an exotic superconducting order where the Cooper pairs have a finite COM momentum, resulting in a gap function which oscillates in space. Studying the quasi-particle structure of the topological defects of the PDW phase we discuss smoking gun signatures associated with this state of matter and their relevance to experiment. In this talk we will discuss the experimental signatures in the tunneling density of states and in the electron spectral functions as experimental tools to detect the signatures of the PDW state in its topological defects.