掺杂蓝磷烯的超导性质：非绝热方法的影响
Superconducting properties of doped blue phosphorene: Effects of non-adiabatic approach
摘要：
利用第一性原理计算，考虑绝热和非绝热声子色散，研究了Kohn反常对单层蓝磷烯电子和空穴掺杂情况下超导性质的影响.我们表明，费米面的拓扑结构是至关重要的掺杂蓝色磷烯的科恩异常的形成。通过使用各向异性Eliashberg形式，我们进一步仔细考虑了非绝热声子色散的温度依赖性。在低空穴密度的情况下，强的电子-声子耦合导致超导的最大临界温度为$T_c=97$ K。另一方面，在电子掺杂状态中，在包括Lifshitz转变点的掺杂水平下达到$T_c=38$ K的最大超导临界温度。此外，我们的研究结果表明，电子-声子耦合的最突出的组成部分来自面内（面外）变形和电子（空穴）型掺杂的面内（面外）电子态之间的耦合。
英文摘要：
We study the effects of Kohn anomalies on the superconducting properties in electron- and hole-doped cases of monolayer blue phosphorene, considering both adiabatic and non-adiabatic phonon dispersions using first-principles calculations. We show that the topology of the Fermi surface is crucial for the formation of Kohn anomalies of doped blue phosphorene. By using the anisotropic Eliashberg formalism, we further carefully consider the temperature dependence of the non-adiabatic phonon dispersions. In cases of low hole densities, strong electron-phonon coupling leads to a maximum critical temperature of $T_c=97$ K for superconductivity. In electron-doped regimes, on the other hand, a maximum superconducting critical temperature of $T_c=38$ K is reached at a doping level that includes a Lifshitz transition point. Furthermore, our results indicate that the most prominent component of electron-phonon coupling arises from the coupling between an in-plane (out-of-plane) deformation and in-plane (out-of-plane) electronic states of the electron (hole) type doping.
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