Superconducting properties of doped blue phosphorene: Effects of non-adiabatic approach

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.Comment: 14 pages, 6 figures; supplementary is available upon reques

Integrated Decision-making Method in Performance Evaluation and Rating of Recreational-Sports Pools

The present study is implemented to identify indicators and to provide an optimal evaluation method in recreational-sports pools. The present study is considered practical in purpose, and survey in collecting data. Firstly, by bibliometric research and five professional experts’ interviews, 91 indicators were identified for evaluating recreational-sports pools. Secondly, in terms of 4 components or perspectives in the Balanced Scorecard, 57 indicators were established (internal processes (10 indicators), customer (22 indicators), growth and learning (19 indicators), and financial (6 indicators)), from focal group’s output which was comprised of 4 prominent professors. The structure was confirmed based on 333 individuals’ opinions in the statistical population by employing factor analysis. In order to rate the pools studied, the gray clustering analysis method was applied followed by the structure of the balanced scorecard confirmed. Principally, 20 homogenous recreational-sports pools were investigated in 15 city regions and boundaries of provinces in Isfahan, Sepahan Shahr, and Baharestan. Based on data analysis and rating of each case study, Araman, Absar, Enghelab, Morvarid, and Golsar pools were ranked first to fifth, respectively. Furthermore, the main purpose of the present study based on calculated indicators is to propose a practical method to provide an accurate evaluation of sports pools