Unusual impact of electron-differential phonons in the modeling of the superconductivity of YBa₂Cu₃O_x

Despite numerous scientific mechanisms may impact the pairing mechanism in YBa₂Cu₃O_x superconductors (YBCO), this research aims to observe its theoretical superconducting transition temperature T_c values if only the synergistic effect between charge density wave, selective antiferromagnetic fluctuations, as well as the unusual electron distribution observed in ARPES data is considered. By considering their synergistic impact, we test the effect of an electron-differential phonon model on the T_c calculations of YBa₂Cu₃O_x as a function of pressure for x = 6.5 and 7. Our study not only identifies an imbalanced charge-density wave effect but also explains why the charge-density wave usually occurs around the magnetic copper atoms. Our research reveals that the dynamic behavior of electrons in YBCO might not be accurately captured by the mean-field DFT approximation, as the time-dependent magnetoelectric and electromagnetic conversion could be underestimated in the lattice.