Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'

We report a large-scale density-matrix renormalization group study of the lightly doped Hubbard model on 4-leg cylinders at hole doping concentration $\delta =12.5\mathrm{\%}$. By keeping a large number of states for long system sizes, we are able to reveal a delicate interplay between superconductivity and charge and spin density wave orders tunable via next-nearest neighbor hopping t’. For finite t’, the ground state is consistent with that of a Luther-Emery liquid, having `half-filled’ charge stripes with power-law superconducting and charge-density-wave correlations of wave-length $\lambda =1\mathrm{/}2\delta$, but short-range spin correlations. This is in direct contrast to the case with t’=0, where superconducting correlations fall off exponentially while charge- and spin-density modulations are dominant. Our results indicate that a route to robust long-range superconductivity involves destabilizing insulating charge stripes in the doped Hubbard model.