Electronical and optical properties of topological Weyl semimetals

Topological Weyl Semimetals (TWSM), which contain massless Weyl fermions in their bulk structure, have very robust topological properties against externally applied deformations because they have special surface conductivities called Fermi arcs. Investigating this topological properties under the influence of external fields is of great importance to develop the technological applications of this materials. In first part of this thesis, transverse magnetic waves (TM-mod) solutions is made to Maxwell equations containing topological terms depending on the interaction of the surfaces of TWSM without fermi arcs with electromagnatic waves. As a result, the threshold condition required to generate a laser from TWSM obtained using Transfer matrix and one-dimensional Helmoltz equation. Moreover, a dissapative current which is mentioned for the fisrt time in the literature is obtained from TM-mod solutions. Also, TWSM display various anomalies without under the influence of external fields. When the unaxial mechanical strain to TWSM, time symmetry is broken of hamiltonian determining the Weyl system and accour a tilt on Weyl cones. In second part of this thesis, anomalous equations of motion and semi-classical Boltzmann transport equation is solved taking into account chirality of Weyl fermions and Berry curvature. Therefore, tilt induced dissapative current called Chiral Vortical Effect (CVE) is investigated. Also, anomalous Vortilcal Hall effect depending on CVE and Durude model is examined in TWSM.