Superconductivity in two-dimensional materials has gained significant attention in the last few years. In this work, we report phonon-mediated superconductivity investigations in monolayer Tungsten monofluoride (WF) by solving anisotropic Migdal Eliashberg equations as implemented in EPW. By employing first-principles calculations, our examination of phonon dispersion spectra suggests that WF is dynamically stable. Our results show that WF has weak electron–phonon coupling (EPC) strength (λ) of 0.49 with superconducting transition temperature (T _c ) of 2.6 K. A saddle point is observed at 0.11 eV below the Fermi level (E _F ) of WF, which corresponds to the Van Hove singularity (VHS). On shifting the Fermi level to the VHS by hole doping (3.7 × 10¹⁴ cm⁻²), the EPC strength increases to 0.93, which leads to an increase in the T _c to 11 K. However, the superconducting transition temperature of both pristine and doped WF increases to approximately 7.2 K and 17.2 K, respectively, by applying the Full Bandwidth (FBW) anisotropic Migdal–Eliashberg equations. Our results provide a platform for the experimental realization of superconductivity in WF and enhancement of the superconducting transition temperature by adjusting the position of E _F to the VHS.

中文翻译：

---

范霍夫奇点驱动二维一氟化钨（WF）超导性增强

在过去的几年里，二维材料的超导性引起了人们的广泛关注。在这项工作中，我们通过求解 EPW 中实现的各向异性 Migdal Eliashberg 方程，报告了单层一氟化钨 (WF) 中声子介导的超导研究。通过采用第一原理计算，我们对声子色散谱的检查表明 WF 是动态稳定的。我们的结果表明，WF 具有较弱的电子声子耦合 (EPC) 强度（λ）为 0.49，超导转变温度（时间 _C ）为 2.6 K。在费米能级以下 0.11 eV 处观察到鞍点（乙 _F ) 的 WF，对应于范霍夫奇点 (VHS)。通过空穴掺杂（3.7 × 10 ¹⁴ cm ^-2 ）将费米能级转移到 VHS 时，EPC 强度增加到 0.93，这导致时间 _C 至 11 K。然而，通过应用全带宽 (FBW) 各向异性 Migdal-Eliashberg 方程，原始和掺杂 WF 的超导转变温度分别增加到约 7.2 K 和 17.2 K。我们的研究结果为WF中超导性的实验实现以及通过调整超导位置来提高超导转变温度提供了平台。乙 _F 到 VHS。