BerryEasy: A GPU enabled python package for diagnosis of nth-order and spin-resolved topology in the presence of fields and effects

Multiple software packages currently exist for the computation of bulk topological invariants in both idealized tight-binding models and realistic Wannier tight-binding models derived from density functional theory. Currently, only one package, PythTB(https://www.physics.rutgers.edu/pythtb/) is capable of computing nested Wilson loops and spin-resolved Wilson loops. These state-of-the-art techniques are vital for accurate analysis of band topology. In this paper we introduce BerryEasy, a python package which is built to work alongside the PyBinding(https://docs.pybinding.site/en/stable/index.html) software package. By working in tandem with the Pybinding package and harnessing the speed of graphical processing units, topological analysis of supercells in the presence of disorder and impurities is made possible. The BerryEasy package simultaneously accommodates use of realistic tight-binding models developed using Wannier90.