“…The effectiveness of the HL/LL protocol (section 2.6), based on the embedding models of sections 2.2–2.4 and the role of screening is studied on the interaction between the phosphorene sheets in a phosphorene bilayer (Figure a) and adsorption of a water monolayer on 2D silica (Figure b). Both black phosphorus (Bachhuber et al, ; Bachhuber et al, ; Cascella, Lin, Tavernelli, & Rothlisberger, ; Castellanos‐Gomez, ; Kim, ; Kou, Chen, & Smith, ; Li et al, ; Li et al, ; Liu et al, ; Qiao, Kong, Hu, Yang, & Ji, ; Sansone et al, ; Schütz et al, ; Shulenburger et al, ; Tran, Soklaski, Liang, & Yang, ; Wu, Fu, Zhou, Yao, & Zeng, ; Yang et al, ) which is a small gap semiconductor, and 2D silica (Björkman et al, ; Burson, Büchner, Heyde, & Freund, ; Huang et al, ; Lichtenstein et al, ; Lichtenstein, Heyde, & Freund, ; Löffler et al, ; Schlexer, Pacchioni, Wlodarczyk, & Sauer, ; Tosoni, Civalleri, & Ugliengo, ; Yu et al, ), an insulator, are promising systems from the technological point of view and are extensively studied experimentally and theoretically.…”