Period 4 stripe in the extended two-dimensional Hubbard model

Abstract

We study the competition between stripe states with different periods and a uniform $d$-wave superconducting state in the extended 2D Hubbard model at 1/8 hole doping using infinite projected entangled-pair states (iPEPS). With increasing strength of negative next-nearest neighbor hopping $t^{\prime }$, the preferred period of the stripe decreases. For the values of $t^{\prime }$ 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, $0.18\lesssim \delta <0.25$, the period 4 stripe exhibits coexisting $d$-wave superconducting order. The uniform $d$-wave state is only favored for sufficiently large positive $t^{\prime }$.

8 pages, 5 figures