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We analyze theoretically the conductivity of Weyl semimetals within theself-consistent Born approximation (SCBA) in the full range of disorderstrength, from weak to strong disorder. In the range of intermediate disorder,we find a critical regime which separates the semimetal and diffusion regimes.While the numerical values of the critical exponents are not expected to beexact within the SCBA, the approach allows us to calculate functionaldependences of various observables (density of states, quasiparticlebroadening, conductivity) in a closed form. This sheds more light on thequalitative behavior of the conductivity and its universal features indisordered Weyl semimetals. In particular, we have found that the vertexcorrections in the Kubo formula are of crucial importance in the regime ofstrong disorder and lead to saturation of the dc conductivity with increasingdisorder strength. We have also analyzed the evolution of the opticalconductivity with increasing disorder strength, including its scalingproperties in the critical regime.

From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation