Imperfections in the crystal structure, such as point defects, can strongly
modify the optical and transport properties of materials. Here, we study the
effect of point defects on the optical and DC conductivities of single layers
of semiconducting transition metal dichalcogenides with the form MS2,
where M=Mo or W. The electronic structure is considered within a six bands
tight-binding model, which accounts for the relevant combination of d
orbitals of the metal M and p orbitals of the chalcogen S. We use the
Kubo formula for the calculation of the conductivity in samples with different
distributions of disorder. We find that M and/or S defects create mid-gap
states that localize charge carriers around the defects and which modify the
optical and transport properties of the material, in agreement with recent
experiments. Furthermore, our results indicate a much higher mobility for
p-doped WS2 in comparison to MoS2