Abstract

In this work, we study the electronic transport in a Type I Weyl Semimetal slab with a uniform and diluted concentration of torsional dislocation defects. The defects have cylindrical geometry and are modeled as a pseudo-gauge field accounting for torsional strain and a repulsive delta-shell potential for the lattice mismatch effect. We give explicit forms for the retarded Green function in the presence of uniformly distributed scattering centers and the spectral density in terms of the relaxation time (imaginary part of the self-energy). The relaxation time is computed from the known scattering cross-section as a function of the phase shifts for the single-defect scattering problem. Finally, we use the Kubo formula to calculate electrical conductivity.