论文标题
(la,nd)-H超水的电子偶联常数和BCS比率
Electron-phonon coupling constant and BCS ratios in (La,Nd)-H superhydride
论文作者
论文摘要
储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。
Stoichiometric near room-temperature superconductors (i.e., $H_3S$ and $LaH_{10}$) exhibit so high ground state upper critical field, $B_{c2}(0)>100 T$, that the magnetic phase diagram in these materials cannot be measured in non-destructive experiments. However, recently, Semenok et al (arXiv2203.06500) proposed the idea to explore full magnetic phase diagram in NRTS samples in which the superconducting order parameter is suppressed by the magnetic element doping. If the element is uniformly distributed in the material, then the theory of the electron-phonon mediated superconductivity predicts the suppression of the order parameter in three-dimensional s-wave superconductor. Semenok et al (arXiv2203.06500) experimentally proved this idea by substituting La with the magnetic rare earth Nd in the $La_{1-x}Nd_{x}H_{10-y}$. As a result, $T_c$ in the $La_{1-x}Nd_{x}H_{10-y}$ (x=0.09) decreases to Tc~120 K, and the upper critical field decreases to $B_{c2}(T=41 K)=55 T$. While the exact hydrogen content should be further established in the $La_{1-x}Nd_{x}H_{10-y}$ (because similar $T_c$ suppression was observed in hydrogen deficient $LaH_{10-y}$ reported by Drozdov et al (2019 Nature 569 528)), a significant part of the full magnetic phase diagram for $La_{1-x}Nd_{x}H_{10-y}$ (x=0.09) was measured. Here we analyzed reported Semenok et al (arXiv2203.06500) data for $La_{1-x}Nd_{x}H_{10-y}$ (x=0.09) compressed at P=180 GPa and deduced: (a) Debye temperature, $T_θ=1156 K$; (b) the electron-phonon coupling constant, $λ_{e-ph}=1.65$; (c) the ground state superconducting energy gap, $Δ(0)=20.2 meV$; (d) the gap-to-transition temperature ratio, $2Δ(0)/k_BT_c=4.0$; and (e) the relative jump in specific heat at $T_c$, $ΔC/C=1.68$. The deduced values indicate that $La_{1-x}Nd_{x}H_{10-y}$ (x=0.09; P=180 GPa) is moderately strong coupled s-wave superconductor.