Abstract: Analogue to graphene and topological insulators, Weyl semimetals become one of the focuses of the condensed matter research recently. Due to their unique gapless bulk states and Fermi arc surface states, Weyl semimetals manifest lots of exotic properties, such as chiral anomaly, chiral magnetic effect, weak anti-localization, chiral Landau-Level, negative magnetoresistance effect and etc. Since impurities and defects inevitably exist in real samples, the study of disorder effects in Weyl semimetals are necessary. In this paper, disorder induced phase transition in both type I and type II Weyl semimetals are reviewed and their global phase diagrams are obtained. These studies enrich the physical understanding of topological Anderson insulator and metal-insulator transition. We also review the influences of both long range and short range disorder on Weyl semimetals. Specially,we find the Boltzmann transport theory is not applicable in some cases. Then, the studies of Imbert-Fedorov shift in Weyl semimetal are reviewed. Finally, we give an explanation about the ultra-high carrier mobility ofWeyl semimetal by combination of wave packet scattering theory and Imbert-Fedorov shift.

Key words: Weyl semimetal; disordered systems; metal-insulator phase transition; transport property; Imbert-Fedorov shift