  We extend the calculation of the Unruh effect to the universality classes of
quantum vacua obeying topologically protected invariance under anisotropic
scaling ${\bf r} \rightarrow b {\bf r}$, $t \rightarrow b^z t$. Two situations
are considered. The first one is related to the accelerated detector which
detects the electron - hole pairs. The second one is related to the system in
external electric field, when the electron - hole pairs are created due to the
Schwinger process. As distinct from the Unruh effect in relativistic systems
(where $z=1$) the calculated radiation is not thermal, but has properties of
systems in the vicinity of quantum criticality. The vacuum obeying anisotropic
scaling can be realized, in particular, in multilayer graphene with the
rhombohedral stacking. Opportunities of the experimental realization of Unruh
effect in this situation are discussed.
