arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1111.7309cond-mat.mes-hall
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点群对称稳定的多Weyl拓扑半金属

Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry

Chen Fang, Matthew J. Gilbert, Xi Dai, B. Andrei Bernevig

摘要:

我们进行了一个完整的分类的双带$\bk\cdot\mathbf{p}$理论在带交叉点在三维半金属与$n$ -折叠旋转对称性和破缺的时间反演对称性。使用这种分类,我们表明存在新的三维拓扑半金属,其特征在于$C_{4,6}$保护的双Weyl节点与二次面内(沿$k_{x,y}$)分散或$C_6$保护的三重Weyl节点与立方面内分散。我们将这一理论应用于三维铁磁体HgCr $_2$ Se $_4$,并证实它是一个双Weyl金属保护的$C_4$对称性。此外,如果铁磁性的方向从[001]轴向[111]轴偏移,则双外尔节点分裂成四个单外尔节点,如该相位的点群$S_6$所指示的。最后,我们讨论了实验相关的影响,包括通过施加$C_n$断裂应变和表面费米弧在这些新的半金属中的多Weyl节点的分裂。

英文摘要:

We perform a complete classification of two-band $\bk\cdot\mathbf{p}$ theories at band crossing points in 3D semimetals with $n$-fold rotation symmetry and broken time-reversal symmetry. Using this classification, we show the existence of new 3D topological semimetals characterized by $C_{4,6}$-protected double-Weyl nodes with quadratic in-plane (along $k_{x,y}$) dispersion or $C_6$-protected triple-Weyl nodes with cubic in-plane dispersion. We apply this theory to the 3D ferromagnet HgCr$_2$Se$_4$ and confirm it is a double-Weyl metal protected by $C_4$ symmetry. Furthermore, if the direction of the ferromagnetism is shifted away from the [001]- to the [111]-axis, the double-Weyl node splits into four single Weyl nodes, as dictated by the point group $S_6$ of that phase. Finally, we discuss experimentally relevant effects including splitting of multi-Weyl nodes by applying $C_n$ breaking strain and the surface Fermi arcs in these new semimetals.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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