On the origin of bulk-related anisotropies in surface optical spectra

Abstract: Reflection anisotropy spectroscopy (RAS) is a powerful method for probing the optical properties of surfaces, used routinely in research and industrial applications, yet the origin of 'bulk-related' features that appear in the spectra of various surfaces has been debated for nearly 40 years. It is often argued that these features are related to surface-induced bulk anisotropy (SIBA) because they coincide with critical energies of the bulk dielectric function. In general, any quantitative RAS theory must include excitonic effects as they significantly influence the spectra and are believed to be the key to determining the origin of SIBA features. Here, we introduce a layer-resolved exciton localization (LREL) measure within the framework of many-body perturbation theory, which enables a quantitative analysis of the origins of 'bulk-related' RAS features. Applying LREL to arsenic-modified silicon reconstructions reveals that, depending on the surface reconstruction, the 'apparent' SIBA features arise primarily from states localized at the surface, with only a small contribution from the underlying layers. Our findings, further supported by the fact that the calculated spectra agree well with low-temperature RAS measurements, challenge the conventional explanation of 'bulk-related' RAS features. They indicate that in many instances bulk-enhanced surface anisotropies (BESA)-the opposite of SIBA-contribute to, or are even responsible for, 'bulk-related' RAS features. Therefore, we suggest that previously studied semiconductor surfaces, which exhibit 'bulk-related' features in their spectra, should be reanalyzed using the presented method.