  We investigate the use of light beams carrying orbital angular momentum (OAM)
in the context of high harmonic generation (HHG) within semiconductor crystals.
Our contribution deals with the transfer and conservation of OAM in the
strong-field regime, from the driving laser field to the generated harmonics.
To this end, in this work, we combine the semiconductor Bloch equations with
the thin slab model to simulate the generation of high-order harmonics in
semiconductor media and to compute the features of the far-field harmonics. We
demonstrate that this theoretical approach is capable of satisfactorily
reproduce previously published experimental features of the generated harmonics
in ZnO driven by a Laguerre-Gauss beam. Our research not only deepens the
understanding of light-solid interactions but also heralds the dawn of bright,
structured XUV coherent radiation sources with unparalleled potential across
diverse technological areas, paving the way for enhanced functionalities in
fields such as microscopy, spectroscopy, and optical communication.
