Correlation between optical phonon softening and superconducting $T_c$ in YBa$_2$Cu$_3$O$_x$ within $d$-wave Eliashberg theory
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866929462148333568 |
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| author | Jiang, Cunyuan Ummarino, Giovanni A. Baggioli, Matteo Liarokapis, Efthymios Zaccone, Alessio |
| author_facet | Jiang, Cunyuan Ummarino, Giovanni A. Baggioli, Matteo Liarokapis, Efthymios Zaccone, Alessio |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_05763 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Correlation between optical phonon softening and superconducting $T_c$ in YBa$_2$Cu$_3$O$_x$ within $d$-wave Eliashberg theory Jiang, Cunyuan Ummarino, Giovanni A. Baggioli, Matteo Liarokapis, Efthymios Zaccone, Alessio Superconductivity Materials Science Strongly Correlated Electrons Mathematical Physics Quantum Physics 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. |
| title | Correlation between optical phonon softening and superconducting $T_c$ in YBa$_2$Cu$_3$O$_x$ within $d$-wave Eliashberg theory |
| topic | Superconductivity Materials Science Strongly Correlated Electrons Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2306.05763 |