Electronic Structure of the Half-Vortex of a Pair-Density-Wave Superconductor

The existence of intertwined orders is one of the most significant characteristics of the cuprate high temperature superconductors and other strongly correlated superconducting materials. Of particular interest is the pair-density-wave (PDW) state in which CDW, SDW and superconducting orders are closely intertwined. In addition to conventional superconducting vortices, PDW superconductors also have novel half-vortices attached to CDW dislocations. Motivated by a recent STM experiment by Z. Du et al [Nature 580, 65 (2020)], we present results on the quasiparticle states of the PDW half-vortex both in the pure PDW state and in the state in which PDW order and uniform d-wave superconducting order coexist.