Static stripe correlations and pair-density-waves in the doped two-dimensional Hubbard model
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The cuprate phase diagram is rich with different orders. For instance, neutron scattering experiments have revealed regions of anti-phased antiferromagnetism separated by narrow hole-rich regions. These combined spin and charge modulations are known as ’stripes’. The cuprates are also the canonical example of high-Tc superconductors known to exhibit dx2−y2 (d-wave) pairing. Recently, indications of pair-density-wave order have been observed in transport measurements of under-doped La2−xBaxCuO4 (LBCO). Recent progress in the study of strongly correlated electron systems revealed states beyond the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity, where Coopers pairs have zero center-of-mass momentum and a translationally invariant order parameter. The Fulde-Farrell-Larkin-Ovchinnikov (FFLO) theory describes a more exotic state in which finite momentum pairing could occur in weakly interacting systems in the presence of a magnetic field. We present a variational Monte Carlo study of the interplay of static stripe order with FFLO pair-density-waves in the two-dimensional doped Hubbard model. We examine spin and charge correlation functions and map out a schematic phase diagram.