Abstract
We use VASP code which is based on density functional and plane wave method to study the electronic structure of layered metal hydroxides, and topological phase transition of Lanthanide hexaborides. Some of layered metal hydroxides have antiferromagnetic insulator band structures. Lanthanide hexaborides have wide physics properties, such as Kondo effect or strong correlated f electrons. We try to find the most stable spin structure of Cobalt hydroxides and Iron hydroxides and topological phase transition of Lanthanide hexaborides with Hubbard +U parameters.