Tilted Dirac Fermions

Abstract

We introduce the notion of a band-inverted, topological semimetal in two-dimensional nonsymmorphic crystals. This notion is materialized in the monolayers of MTe${}_2$ (M $=$ W, Mo) if spin-orbit coupling is neglected. We characterize the Dirac band touching topologically by the Wilson loop of the non-Abelian Berry gauge field. An additional feature of the Dirac cone in monolayer MTe${}_2$ is that it tilts over in a Lifshitz transition to produce electron and hole pockets, a type-II Dirac cone. These pockets, together with the pseudospin structure of the Dirac electrons, suggest a unified, topological explanation for the recently-reported, non-saturating magnetoresistance in WTe${}_2$, as well as its circular dichroism in photoemission. We complement our analysis and first-principle bandstructure calculations with an $\text{ab-initio}$-derived-derived tight-binding model for the WTe${}_2$ monolayer.

Changed Title, improved introduction and added references

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Cited by in corpus (3)

• Local Berry curvature signatures in dichroic angle-resolved photoelectron spectroscopy
• Two-dimensional type-II Dirac fermions in layered oxides
• Tuning Dirac nodes with correlated d-electrons in BaCo_{1-x}Ni_{x}S_{2}