  A new nonlinear scheme of high harmonics generation in a wide class of
time-reversal invariant materials with broken spatial inversion symmetry (where
recently the nonlinear Hall effect has been established) due to the nontrivial
topology of bands is proposed. A microscopic quasiclassical theory describing
the nonperturbative optical response of pseudo-relativistic electrons with
nonzero Berry curvature of bands to a strong laser field is developed. We
analyze the harmonic content of the induced current and show that one can
decouple induced laser harmonics solely by the Berry curvature of bands. We
also study the dependence of the nonlinear response on the driving wave and
system parameters.
