Prediction of a Weyl Semimetal in Hg${}_{1-x-y}$Cd${}_x$Mn${}_y$Te

Abstract

We study strained Hg${}_{1-x-y}$Cd${}_x$Mn${}_y$Te in a magnetic field using a $\mathbf{k}\cdot \mathbf{p}$ model and predict that the system is a Weyl semimetal with two nodes in an experimentally reasonable region of the phase diagram. We also predict two signatures of the Weyl semimetal phase which arise from tunability of the Weyl node splitting. First, we find that the Hall conductivity is proportional to the average Mn ion spin and thus is strongly temperature dependent. Second, we find an unusual magnetic field angle dependence of the Hall conductivity; in particular, we predict a peak in ${\sigma }_{xy}$ as a function of field angle in the $xz$-plane and a finite ${\sigma }_{yz}$ as the $x$-component of the field goes to 0.

5 pages, 4 figures

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• Topological Insulators with Inversion Symmetry
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Recent developments in transport phenomena in Weyl semimetals
• Helical edge and surface states in HgTe quantum wells and bulk insulators

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