Magnetic control of Weyl nodes and wave packets in three-dimensional warped semimetals

Bruno Focassio, Gabriel R. Schleder, Adalberto Fazzio, Rodrigo B. Capaz, Pedro V. Lopes, Jaime Ferreira, Carsten Enderlein, Marcello B. Silva Neto
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Abstract

We investigate the topological phase transitions driven by band warping, λ, and a transverse magnetic field, B, for three-dimensional Weyl semimetals. First, we use the Chern number as a mathematical tool to derive the topological λ×B phase diagram. Next, we associate each of the topological sectors to a given angular momentum state of a rotating wave packet. Then we show how the position of the Weyl nodes can be manipulated by a transverse external magnetic field that ultimately quenches the wave packet rotation, first partially and then completely, thus resulting in a sequence of field-induced topological phase transitions. Finally, we calculate the current-induced magnetization and the anomalous Hall conductivity of a prototypical warped Weyl material. Both observables reflect the topological transitions associated with the wave packet rotation and can help to identify the elusive 3D quantum anomalous Hall effect in three-dimensional, warped Weyl materials.

Abstract Image

三维翘曲半金属中 Weyl 节点和波包的磁控制
我们研究了三维韦尔半金属在带翘曲(λ)和横向磁场(B)驱动下的拓扑相变。首先,我们使用切尔数作为数学工具,推导出拓扑 λ×B 相图。接着,我们把每个拓扑扇形与旋转波包的给定角动量状态联系起来。然后,我们展示了 Weyl 节点的位置是如何被横向外磁场操纵的,外磁场最终会淬灭波包的旋转,先是部分,然后是完全,从而导致一连串场诱导的拓扑相变。最后,我们计算了一种原型翘曲韦尔材料的电流诱导磁化和反常霍尔电导率。这两个观测值反映了与波包旋转相关的拓扑转变,有助于识别三维翘曲韦尔材料中难以捉摸的三维量子反常霍尔效应。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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CiteScore
8.60
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0.00%
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