This article describes the recent re-design of the code and the new features and improvements in performance of PAOFLOW, a software tool that constructs tight-binding Hamiltonians from self-consistent electronic wavefunctions by projecting onto a set of atomic orbitals.

This article is a response to a comment on the authors' original article "Disentangling Orbital and Valley Hall Effects in Bilayers of Transition Metal Dichalcogenides." The authors' response concludes that they do not believe the main points of the original Letter are affected by the Comment.

This article shows a connection between spin Hall effect and HOTIs using a combination of ab initio calculations and tight-binding modeling. The model demonstrates how a non-zero bulk midgap spin Hall conductivity (SHC) emerges within the HOTI phase. This work guides novel experimental and theoretical advances towards higher-order topological insulator realization and applications.

This article shows that a bilayer of 2H-MoS₂ is an orbital Hall insulator that exhibits a sizeable orbital Hall effect in the absence of both spin and valley Hall effects. The results are based on density functional theory and low-energy effective model calculations and strongly suggest that bilayers of TMDs are highly suitable platforms for direct observation of the orbital Hall insulating phase in two-dimensional materials.