We study the photoresponse of two-dimensional semi-Dirac semimetals andthree-dimensional Dirac semimetals to off-resonant circularly polarized light.For two-dimensional semi-Dirac semimetals we find that incident light does notopen a gap in the spectrum, in contrast to the case of purely lineardispersion. For the three-dimensional case we find that applying a circularlypolarized light, one can tune from a trivial insulator to three-dimensionalDirac semimetal with an inverted gap. We propose and show that application oflight leads to an intriguing platform for generation, motion and merging ofthree-dimensional Dirac points.
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