The electron-phonon (e-ph) coupling is crucial in explaining various ordering phenomena such as superconductivity and charge density waves (CDW) which has been invoked to explain Cooper pair formation leading to superconductivity, however, the origin of charge state mechanism is not yet fully understood. Here we study the role of e-ph coupling in understanding the interplay of the structural phase transition, CDW transition, superconducting transition, and flat electronic band dispersion in the La₂-ₗSrₗCuO₄ (x = 0. 15) superconductor. We employed high-resolution temperature dependent x-ray diffraction and Raman scattering measurements in combination with first-principles calculations across the phase-transitions. We unveil the dominant role of CuO₆ octahedra distortion and tilting which suggests the presence of strong e-ph coupling that gradually develops high alternating CuO₆ octahedra rotations in-phase (+ve) and anti-phase (-ve) ; 3^) which can further enhanced e-ph coupling below the structural-phase transition (Tₛ = 150 K), leading to the symmetry-breaking. We observe that the local distortion of CuO₆ including tilting and phonon modes at 430, 360, 225, and 100 cm^-1 may associated with CDW correlations below Tₛ. Further, our theoretical calculations across the superconducting transition suggests the presence of strong hybridization of Cu 3d with O 2p orbitals, indicating the role of alternating CuO₆ octahedra tilt in the electronic structure of La₂-ₗSrₗCuO₄. Thus, the octahedral tilt played a crucial role in the origin of the CDW phase.
Isha et al. (Wed,) studied this question.