Surface states and the robustness of charge density wave order in LaTe2

Rare-earth tellurides present unique opportunities to explore the interplay between charge density waves (CDWs) and electronic structure in quasi-two-dimensional systems. Unlike their van der Waals counterparts, the rare-earth tritellurides, ditellurides such as LaTe2 feature distinct polar surfaces and Fermi-surface nesting properties. In this paper, we investigate the electronic band structure of LaTe2, distinguishing the surface states from the bulk bands, and enabling the study of the impact of band filling on CDW stability. We uncover the intricate dependence of CDW formation on the electronic environment and highlight the robustness of the CDW order against variations in band filling. The results provide insights into the complex relationship between electronic structure and CDW formation in this class of materials.