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We study the optical properties of Weyl semimetal (WSM) in a model whichfeatures, in addition to the usual term describing isolated Dirac conesproportional to the Fermi velocity $v_{F}$, a gap term $m$ and a Zeemanspin-splitting term $b$ with broken time reversal symmetry. Transport istreated within Kubo formalism and particular attention is payed to themodifications that result from a finite $m$ and $b$. We consider how thesemodifications change when a finite residual scattering rate $\Gamma$ isincluded. For $\Gamma<m$ the A.C. conductivity as a function of photon energy$\Omega$ continues to display the two quasilinear energy regions of the cleanlimit for $\Omega$ below the onset of the second electronic band which isgapped at ($ m+b $). For $\Gamma$ of the order $m$ little trace of two distinctlinear energy scales remain and the optical response has evolved towards thatfor $m=b=0$. Although some quantitative differences remain there are noqualitative differences. The magnitude of the D.C. conductivity$\sigma^{DC}(T=0)$ at zero temperature ($T=0$) and chemical potential ($\mu=0$)is altered. While it remains proportional to $\Gamma$ it becomes inverselydependent on an effective Fermi velocity out of the Weyl nodes equal to$v_{F}^\ast=v_{F}\sqrt{b^2-m^2}/b$ which decreases strongly as the phaseboundary between Weyl semimetal and gapped Dirac phase (GDSM) is approached at$b=m$. The leading term in the approach to $\sigma^{DC}(T=0)$ for finite$T/\Gamma$, $\mu/\Gamma$ and $\Omega/\Gamma$ is found to be quadratic. Thecoefficient of these corrections tracks closely the $b/m$ dependence of the$\mu=T=\Omega=0$ limit with differences largest near to the WSM-GDSM boundary.

Optical response in Weyl semimetal in model with gapped Dirac phase