Abstract
Striped superconductivity (SC) with lattice distortions is investigated based on the three-band Hubbard model for high-${T}_{c}$ cuprates. A stable inhomogeneous striped state is determined in the low-temperature tetragonal phase with lattice distortions using a quantum variational Monte Carlo method. The ground state has vertical or horizontal hole-rich arrays coexisting with incommensurate magnetism and SC induced by several percents of lattice deformations. The SC order parameter oscillates according to the inhomogeneity in the antiferromagnetic background with its maxima in the hole-rich regions, and the SC condensation energy is reduced as the doping rate decreases.
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