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arXiv 1702.07982cond-mat.mes-hall
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Weyl半金属与五维拓扑相变

Weyl Semimetal and Topological Phase Transition in Five Dimensions

Biao Lian, Shou-Cheng Zhang

摘要:

我们研究了五维空间(5d)中的两个Weyl半金属推广,这两个推广分别具有Yang单极和Brillouin区中的链接Weyl曲面,并携带第二个Chern数作为拓扑数.特别是,我们表明,一个杨的自然减少到两个Weyl表面的Hopf链接时,$\mathbf{TP}$(时间反演结合空间反演)对称性被打破。然后,我们研究了不同拓扑数的绝缘体之间的相变在5d。在类似的3D的情况下,5D Weyl半金属出现作为中间相在拓扑相变。

英文摘要:

We study two Weyl semimetal generalizations in five dimensions (5d) which have Yang monopoles and linked Weyl surfaces in the Brillouin zone, respectively, and carry the second Chern number as a topological number. In particular, we show a Yang monopole naturally reduces to a Hopf link of two Weyl surfaces when the $\mathbf{TP}$ (time-reversal combined with space-inversion) symmetry is broken. We then examine the phase transition between insulators with different topological numbers in 5d. In analogy to the 3d case, 5d Weyl semimetals emerge as intermediate phases during the topological phase transition.

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