Abstract

Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic excitations that are protected by topology and symmetry. As three-dimensional analogs of graphene, they have generated much recent interest. Deep connections exist with particle physics models of relativistic chiral fermions, and, despite their gaplessness, to solid-state topological and Chern insulators. Their characteristic electronic properties lead to protected surface states and novel responses to applied electric and magnetic fields. The theoretical foundations of these phases, their proposed realizations in solid-state systems, and recent experiments on candidate materials as well as their relation to other states of matter are reviewed.

Keywords

PhysicsGapless playbackDirac (video compression format)Topological insulatorDirac fermionSemimetalGrapheneState of matterFermionTheoretical physicsCondensed matter physicsWeyl semimetalSymmetry (geometry)Chiral anomalyQuantum mechanicsBand gap

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Year
2018
Type
article
Volume
90
Issue
1
Citations
4241
Access
Closed

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N. P. Armitage, E. J. Melé, Ashvin Vishwanath (2018). Weyl and Dirac semimetals in three-dimensional solids. Reviews of Modern Physics , 90 (1) . https://doi.org/10.1103/revmodphys.90.015001

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DOI
10.1103/revmodphys.90.015001