We have worked in several theoretical and material fronts. One the one hand, we have developed a combined theoretical and computational scheme that allows an accurate numerical assessment of the nonlinear optical properties of materials. In particular, we have modeled third-order electric field effects as well as so-called many-body corrections that offer an improved description of the light-matter interaction and go beyond the state-of-the-art in several aspects. In addition, this work has crystallized in a free-software package that researchers in the scientific community can employ for their own investigations.
Alongside the methodological developments described above, we have thoroughly worked on applying the combined theoretical and computational scheme to several types of materials. On one hand, we have studied a concrete Weyl semimetal, namely TaIrTe4. This compound has attracted recent interest as it exhibits an unusually large nonlinear optical absorption as measured in experiment, and is therefore considered a potential candidate for optical applications. By applying our scheme, we have been able to discern which of the various nonlinear effects at play is the dominant one, which turns out to be the so-called jerk current. Secondly, we have performed numerical calculations to describe the nonlinear optical properties of a particular nanomaterial, namely a WS2 nanotube. Nanotubes are formed by stacks of monolayers rolled into tube form, therefore offering an interesting bridge between a purely two-dimensional and a common three-dimensional material. Our calculations have shown that the quadratic optical effect known as the shift current is enhanced in nanotubes due to a combination of innate ability to absorb light and favorable geometric aspects such as large cross-sectional area to drive the generated photocurrent along the tube axis.