Hole pairing and phonon dynamics in generalized 2D $t-J-$Holstein models

TL;DR

This study investigates how different phonon modes influence hole pairing in a 2D t-J-Holstein model, revealing that out-of-plane vibrations promote pairing while breathing modes weaken it, with implications for cuprate superconductivity.

Contribution

It introduces a detailed analysis of dynamic phonon effects on hole pairing in the t-J model, highlighting the contrasting roles of breathing and buckling modes.

Findings

Out-of-plane vibrations stabilize hole pairs.

Breathing modes weaken hole pair binding.

Results relate phonon dynamics to cuprate superconductivity.

Abstract

The formation of hole pairs in the planar t-J model is studied in the presence of independent {\it dynamic} vibrations of the in-plane oxygen atoms. In-plane (breathing modes) and out-of-plane (buckling modes) displacements are considered. We find strong evidences in favor of a stabilization of the two hole bound pair by out-of-plane vibrations of the in-plane oxygens. On the contrary, the breathing modes weaken the binding energy of the hole pair. These results are discussed in the context of the superconducting cuprates.