2017/05/31 by N. P. Armitage, E. J. Mele, Ashvin Vishwanath · 20 citations
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1103/revmodphys.90.015001
published as Rev. Mod. Phys. 90, 15001 (2018) · 63 pages, 38 figures; Comprehensive review on Weyl and Dirac Semimetals first submitted to Reviews of Modern Physics December 2016; Accepted July 5th, 2017; Minor corrections and additions in this version
arxiv created 2018/01/23 · arxiv updated 2018/01/31
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. Here we review the theoretical foundations of these phases, their proposed realizations in solid state systems, recent experiments on candidate materials, as well as their relation to other states of matter.