论文标题

单层和双层PTCL $ _3 $:能量,磁性和乐队拓扑

Monolayer and bilayer PtCl$_3$: Energetics, magnetism, and band topology

论文作者

Jiao, Yalong, Zeng, Xu-Tao, Chen, Cong, Gao, Zhen, Sheng, Xian-Lei, Yang, Shengyuan A.

论文摘要

托有非平凡拓扑状态的二维(2D)磁性材料对于基础研究和实际应用很有趣。最近,提出了2D Weyl Half-Semetal(WHS)的拓扑状态,该状态在2D铁磁系统中托管完全自旋极化Weyl点可与自旋轨道耦合,并预计单层PTCL $ _3 $是实现该状态的平台。在这里,我们通过使用粒子群优化技术和密度功能理论计算对2D PTCL $ _3 $结构进行了广泛的搜索。我们证明所需的PTCL $ _3 $相位对应于其化学计量时最稳定的阶段。 2D结构还具有高达600 K的良好热稳定性。我们建议SNS $ _2 $作为2D PTCL $ _3 $增长的基板,该基材具有出色的晶格匹配,并保留了PTCL $ _3 $的WHS状态。我们发现沿着锯齿形方向的单轴应变保持WHS状态,而沿扶手椅方向的小应变驱动从WH到量子异常霍尔(QAH)绝缘子相的拓扑相变。此外,我们研究BiLayer PTCL $ _3 $,并表明堆叠配置对磁性和电子带结构具有很大的影响。尤其是,$ aa' $堆叠的双层PTCL $ _3 $实现了一个有趣的拓扑状态 - 2D反铁磁镜Chern绝缘子,它具有一对拓扑间隙边缘带。我们的工作为2D PTCL $ _3 $的实验实现提供了指导,并将促进2D磁性拓扑状态的研究,包括WHS,QAH绝缘子和磁性镜面绝缘子状态。

Two-dimensional (2D) magnetic materials hosting nontrivial topological states are interesting for fundamental research as well as practical applications. Recently, the topological state of 2D Weyl half-semimetal (WHS) was proposed, which hosts fully spin polarized Weyl points robust against spin-orbit coupling in a 2D ferromagnetic system, and single-layer PtCl$_3$ was predicted as a platform for realizing this state. Here, we perform an extensive search of 2D PtCl$_3$ structures, by using the particle swarm optimization technique and density functional theory calculation. We show that the desired PtCl$_3$ phase corresponds to the most stable one at its stoichiometry. The 2D structure also possesses good thermal stability up to 600 K. We suggest SnS$_2$ as a substrate for the growth of 2D PtCl$_3$, which has excellent lattice matching and preserves the WHS state in PtCl$_3$. We find that uniaxial strains along the zigzag direction maintain the WHS state, whereas small strains along the armchair direction drives a topological phase transition from the WHS to a quantum anomalous Hall (QAH) insulator phase. Furthermore, we study bilayer PtCl$_3$ and show that the stacking configuration has strong impact on the magnetism and the electronic band structure. Particularly, the $AA'$ stacked bilayer PtCl$_3$ realizes an interesting topological state -- the 2D antiferromagnetic mirror Chern insulator, which has a pair of topological gapless edge bands. Our work provides guidance for the experimental realization of 2D PtCl$_3$ and will facilitate the study of 2D magnetic topological states, including WHS, QAH insulator, and magnetic mirror Chern insulator states.

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