Caustic effects on the high-order harmonic generation in grapheneWe have investigated the caustic effects on the high-order harmonic
generation (HOHG) in graphene. By numerically simulating the HOHG by the
two-band density-matrix equations and time-dependent density functional theory,
we find obvious caustic structures on the HOHG. Further calculations indicate
that the caustic effects exist over a wide range of laser vector potential from
0.4 to 0.84 a.u.. To reveal the underlying mechanism of the caustic effects, we
calculate the classical trajectories of electrons. For a one-dimensional
section of the graphene reciprocal space, when the different branches of
electron-hole trajectories generating high-order harmonics coalesce into a
single branch, caustic effects appear. In contrast to atom and one-dimensional
solid, in which the caustic effects usually appear at a or a few specific
harmonic energies, for the two-dimensional graphene system, the caustic effects
emerge in broad, continuous energy regions, which dominates interband harmonic
generation.
arxiv.org