  We perform a computational screening for two-dimensional magnetic materials
based on experimental bulk compounds present in the Inorganic Crystal Structure
Database and Crystallography Open Database. A recently proposed geometric
descriptor is used to extract materials that are exfoliable into
two-dimensional derivatives and we find 85 ferromagnetic and 61
anti-ferromagnetic materials for which we obtain magnetic exchange and
anisotropy parameters using density functional theory. For the easy-axis
ferromagnetic insulators we calculate the Curie temperature based on classical
Monte Carlo simulations of anisotropic Heisenberg models. We find good
agreement with the experimentally reported Curie temperatures of known 2D
ferromagnets and identify 10 potentially exfoliable two-dimensional
ferromagnets that have not been reported previously. In addition, we find 18
easy-axis anti-ferromagnetic insulators with several compounds exhibiting very
strong exchange coupling and magnetic anisotropy.
