Correlation between optical phonon softening and superconducting $T_c$ in YBa$_2$Cu$_3$O$_x$ within $d$-wave Eliashberg theory

• URL: http://arxiv.org/abs/2306.05763v3
• Date: Tue, 23 Jul 2024 13:15:17 GMT
• Title: Correlation between optical phonon softening and superconducting $T_c$ in YBa$_2$Cu$_3$O$_x$ within $d$-wave Eliashberg theory
• Authors: Cunyuan Jiang, Giovanni A. Ummarino, Matteo Baggioli, Efthymios Liarokapis, Alessio Zaccone,
• Abstract summary: We provide a mathematical description of the strong correlation between the experimentally observed softening of Raman modes associated with in-plane oxygen motions and the corresponding superconducting critical temperature $T_c$. Different regimes observed in the trend of $T_c$ vs doping can be related to corresponding regimes of optical phonon softening in the Raman spectra. These results provide further evidence related to the physical origin of high-temperature superconductivity in rare-earth cuprate oxides.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide a mathematical description, based on d-wave Eliashberg theory, of the strong correlation between the experimentally observed softening of Raman modes associated with in-plane oxygen motions and the corresponding superconducting critical temperature $T_c$, as a function of oxygen doping $x$, in YBa$_2$Cu$_3$O$_x$. The theoretical model provides a direct link between physical trends of soft optical $A_g$ (in-plane) oxygen modes, the level of oxygen doping $x$, and the superconducting $T_c$. Different regimes observed in the trend of $T_c$ vs doping can be related to corresponding regimes of optical phonon softening in the Raman spectra. These results provide further evidence related to the physical origin of high-temperature superconductivity in rare-earth cuprate oxides and to the significant role of electron-phonon coupling therein.

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