超导电性
德拜模型
订单(交换)
凝聚态物理
转变温度
物理
声子
超导转变温度
黛比
束缚态
量子力学
财务
经济
作者
Adam Smith,Sumner B. Harris,Renato P. Camata,Da Yan,Cheng-Chien Chen
出处
期刊:Physical review
日期:2023-11-27
卷期号:108 (17)
标识
DOI:10.1103/physrevb.108.174514
摘要
Recently a relationship between the Debye temperature ${\mathrm{\ensuremath{\Theta}}}_{D}$ and the superconducting transition temperature ${T}_{c}$ of conventional superconductors has been proposed [Esterlis et al., npj Quantum Mater. 3, 59 (2018)]. The relationship indicates that ${T}_{c}\ensuremath{\le}A{\mathrm{\ensuremath{\Theta}}}_{D}$ for phonon-mediated BCS superconductors, with $A$ being a prefactor of order $\ensuremath{\sim}0.1$. In order to verify this bound, we train machine learning (ML) models with 10 330 samples in the Materials Project database to predict ${\mathrm{\ensuremath{\Theta}}}_{D}$. By applying our ML models to 9860 known superconductors in the NIMS SuperCon database, we find that the conventional superconductors in the database indeed follow the proposed bound. We also perform first-principles phonon calculations for ${\mathrm{H}}_{3}\mathrm{S}$ and ${\mathrm{LaH}}_{10}$ at 200 GPa. The calculation results indicate that these high-pressure hydrides essentially saturate the bound of ${T}_{c}$ versus ${\mathrm{\ensuremath{\Theta}}}_{D}$.
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