Disorder effects on Weyl semimetals

  The discovery of graphene has inspired the search of other forms of Dirac semimetals in various dimensions. For the past couple of years, there has been a growing interest toward the realization of three dimensional (3D) counter part of graphene, which is called Weyl semimetal (WSM). Like graphene, its band structure has a pair of bands crossing at certain points (Weyl points) of momentum space, but unlike graphene, it is three dimensional.  In my talk, I will first review some interesting aspects of WSMs and current research progresses. I will then focus on a specific question of our interest - the density of states (DOS) of WSMs at the Weyl points in the presence of weak disorders, which has been long believed to be vanishing. However, through the selfconsistent T matrix approximation, we preliminarily find a nonzero DOS at the Weyl points with weak finite-range scalar potential disorders.