Stripes and superconductivity in the two-dimensional Hubbard model

The stripes have been shown the ground state in the doped two-dimensional Hubbard model for a particular interaction. In this work we discuss the superconductivity in the stripes. We employ two of the most powerful methods, density matrix renormalization group and constrained-path auxiliary-field Monte Carlo to study the superconductivity in the stripes on finite-size cylinders and in the thermodynamic limit. By studying the pair-pair correlation and the local pairing order, we show that no long-range superconductivity exists in the ground-state stripes. In addition we discuss the mixture of stripes with different stripe fillings, and the effect on the superconductivity.