Pairing properties of correlated three-leg ladders with strong interchain couplings near 1/3 filling

TL;DR

This study uses DMRG to analyze pairing tendencies in correlated three-leg ladders near 1/3 filling, revealing hole doping promotes pairing with power-law decay, unlike electron doping.

Contribution

It demonstrates the emergence of pairing correlations in hole-doped three-leg ladders with strong interchain couplings, providing insights relevant to trilayer nickelate superconductors.

Findings

Hole doping induces power-law decaying pair correlations.

Electron doping does not produce significant pair correlations.

Comparison between t-J and Hubbard models highlights different doping effects.

Abstract

We investigate the ground-state properties of correlated three-leg ladders near 1/3 filling. We apply the density-matrix renormalization group method to the three-leg t-J ladder with strong interchain couplings and evaluate its pairing nature. When holes are doped into the spin-gapped state at 1/3 filling, we find that pair correlations develop with power-law decays while spin correlations decay exponentially. On the other hand, doping of electrons into the 1/3-filled state does not give rise to substantial pair correlations. We also discuss the hole-doped state in the three-leg Hubbard model to compare it with the pairing state in the t-J model. Our numerical demonstrations provide insights into the electronic properties of trilayer nickelate superconductors.