Period 4 Stripe In The Extended Two-Dimensional Hubbard Model

We study the competition between stripe states with different periods and a uniform d-wave superconducting state in the extended two-dimensional Hubbard model at 1/8 hole doping using infinite projected entangled-pair states (iPEPS). With increasing strength of negative next-nearest neighbor hopping t', the preferred period of the stripe decreases. For the values of t' predicted for cuprate high-T-c superconductors, we find stripes with a period 4 in the charge order, in agreement with experiments. Superconductivity in the period 4 stripe is suppressed at 1/8 doping. Only at larger doping, 0.18 less than or similar to delta < 0.25, the period 4 stripe exhibits coexisting d-wave superconducting order. The uniform d-wave state is only favored for sufficiently large positive t'.