Topological superconductors, characterized by topologically nontrivial states residing in a superconducting gap, are a recently discovered class of materials having Majorana Fermions. The interplay of superconductivity and topological states give rise to opportunities for achieving such topological superconductors in condensed matter systems. Up to now, several single-material topological superconductors in this form have been theoretically predicted and experimentally confirmed. Here, using the first-principles calculations, we study the superconducting single-layer $\beta$-Bi${}_2$Pd. The electronic density of states near Fermi level of this monolayer are dominated by the Bi-p and Pd-d orbitals, forming a two-band Fermi surface with multi-class sheets. The presence of soft phonon bands, in cooperation with the electron susceptibility, account for electron-phonon superconductivity of single-layer $\beta$-Bi${}_2$Pd. With the centrosymmetric structure, single-layer $\beta$-Bi${}_2$Pd possesses a continuous gap over the whole Brillouin zone and topological Dirac-like states at its one-dimensional boundary. The present findings would lead to the expectation of one-dimensional topological superconductivity and Majorana bound states in monolayer candidate of $\beta$-Bi${}_2$Pd with intrinsic full-gap superconductivity.

中文翻译：

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单层β-Bi2Pd超导和拓扑方面的预测

拓扑超导体的特征是存在于超导间隙中的拓扑非平凡态，是最近发现的具有马里亚纳费米子的材料。超导电性与拓扑状态的相互作用为在凝聚态系统中实现此类拓扑超导体提供了机会。到目前为止，已经在理论上预测并通过实验证实了这种形式的几种单材料拓扑超导体。在这里，使用第一性原理计算，我们研究了超导单层$\beta$-双${}_2$钯 该单层费米能级附近的态的电子密度受Bi-p和Pd-d轨道支配，形成具有多级薄片的两波段费米表面。软声子带的存在与电子的敏感性一起解释了单层电子声子的超导性$\beta$-双${}_2$钯 具有中心对称结构，单层$\beta$-双${}_2$Pd在整个布里渊区具有连续的间隙，并且在其一维边界处具有拓扑狄拉克状态。目前的发现将导致对一维拓扑超导和Majorana束缚态在单层候选中的期望。$\beta$-双${}_2$钯具有固有的全能隙超导性。