2016 Volume 37 Issue 12 Pages 625-630
Recent developments in the research field of Dirac and Weyl semimetals are reviewed. We introduce Weyl semimetal which has linear energy dispersion and nontrivial topology in the band structure. One of characteristic phenomena is negative magnetoresistance, which stems from three-dimensional linear dispersion. Another characteristic phenomenon is the anomalous Hall effect which occurs in Weyl semimetals with magnetic order. Fermi arc states appear as surface states localized at the boundary. Type II Weyl semimetals are also argued.