The main topics of this thesis are the surface Fermi arcs and transport properties of Weyl semimetals. The thesis begins with a general introduction in chapter one. Chapter two addresses transport... Show moreThe main topics of this thesis are the surface Fermi arcs and transport properties of Weyl semimetals. The thesis begins with a general introduction in chapter one. Chapter two addresses transport properties of bulk Weyl cones. In chapter three, the chiral magnetic effect is studied, with particular focus on the role of the surface Fermi arcs. The fourth chapter deals with how the Fermi arcs are affected by the proximity of a superconductor. The final chapter explores Fermi arcs and transport properties of a very different system: the pseudo-gap phase of high-temperature cuprate superconductors. Show less