Universal Correlation between Critical Temperature of Superconductivity and band structure features
Abstract
The critical temperature (Tc) of superconductors varies a lot. The factors governing the Tc may hold key clues to understand the nature of the superconductivity. Thereby, Tc-involved correlations, such as Matthias laws, Uemura law, and cuprates doping phase diagrams, have been of great concern. However, the electronic interaction being responsible for the carriers pairing in high-Tc superconductors is still not clear, which calls for more comprehensive analyses of the experimental data in history. In this work, we propose a novel perspective for searching material gene parameters and Tc-involved correlations. By exploring holistic band structure features of diverse superconductors, we found a universal correlation between the Tc maxima and the electron energy levels for all kinds of superconducting materials. It suggests that the Tc maxima are determined by the energy level of secondary-outer orbitals, rather than the band structure nearby the Fermi level. The energy level of secondary-outer orbitals is a parameter corresponding to the ratio of atomic orbital hybridization, implying that the fluctuation of the orbital hybridization is another candidate of pairing glue.
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