论文标题
由磁场和拓扑厅效应驱动的拓扑相变
Topological phase transition driven by magnetic field and topological Hall effect in an antiferromagnetic skyrmion lattice
论文作者
论文摘要
在磁性天空晶体中通常观察到由电和拓扑非平凡的自旋纹理给出的拓扑厅效应（The）。在这里，我们介绍了与抗磁磁性晶格（AF-SKX）结合的电子的研究。我们表明，在强大的hund耦合极限下，在特定填充物上出现了拓扑的非平凡阶段。有趣的是，在低填充磁纹理的外部场时，将系统从常规绝缘体相驱动到表现的相位。这种行为表明发生了拓扑转变，该拓扑过渡通过批量间隙的结束确认，随后是其重新打开，同时与一对螺旋边缘状态同时出现。通过计算Chern数量和浆果曲率进一步验证了这种过渡。我们还计算了各种可观察物，以量化：霍尔电导率和在AF-SKX纹理中移动的电子的轨道磁化。
The topological Hall effect (THE), given by a composite of electric and topologically non-trivial spin texture is commonly observed in magnetic skyrmion crystals. Here we present a study of the THE of electrons coupled to antiferromagnetic Skyrmion lattices (AF-SkX). We show that, in the strong Hund coupling limit, topologically non-trivial phases emerge at specific fillings. Interestingly, at low filling an external field controlling the magnetic texture, drives the system from a conventional insulator phase to a phase exhibiting THE. Such behavior suggests the occurrence of a topological transition which is confirmed by a closing of the bulk-gap that is followed by its reopening, appearing simultaneously with a single pair of helical edge states. This transition is further verified by the calculation of the the Chern numbers and Berry curvature. We also compute a variety of observables in order to quantify the THE, namely: Hall conductivity and the orbital magnetization of electrons moving in the AF-SkX texture.
