We study the effect of density-assisted hopping on different dimerized lattice geometries, such as bilayers and ladder structures. We show analytically that the density-assisted hopping induces an attractive interaction in the lower (bonding) band of the dimer structure and a repulsion in the upper (antibonding) band. Overcoming the on-site repulsion, this can lead to the appearance of superconductivity with a pairing structure more complex than $s$-wave pairing. Combining numerical and analytical methods such as the matrix product states ansatz, bosonization, and perturbative calculations, we map out the phase diagram of the two-leg ladder system and identify its superconducting phase. We characterize the transition from the non-density-assisted repulsive regime to the spin-gapped superconducting regime as a Berezinskii-Kosterlitz-Thouless transition.

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• BKT transition
• Pairing mechanisms
• Superconductivity
• High-temperature superconductors
• Extended Hubbard model
• Tensor network methods