A model for intertwined orders in cuprates

We model the intertwined orders in the cuprate pseudogap as a textured antiferromagnet (AFM), where the texture arises from confining competing phases on topological defects, i.e., arrays of AFM domain walls. Three branches of texture are found, which can be interpreted as a strongly frustrated remnant of an underlying eutectoid phase diagram. This model can describe many key features of intertwined orders in cuprates, including the trisected superconducting dome, and provides clear evidence for a doping/hopping-parameter-dependent Mott-Slater transition in cuprates.