Condensed matter physics is a branch of physics that studies systems include a significant number of particles, including atoms, molecules, electrons, some neutral or charged particles, as a relatively dense phase, the most common of which are solid and liquid phases. Of course, today dense fluids and even liquid crystals are part of this matter. In these systems, the density is usually relatively high such that the particle interaction cannot be ruled out in general. Studies in the physics of dense material generally involve a variety of experimental measurements of various physical properties, including conductive properties. On the other hand, this trend introduces and expands structural and theoretical models from a mathematical and experimental point of view in order to understand physical behaviors using computational and simulation methods including density functional density. In this case, the calculation of structural, electron, magnetic, and optical properties as well as the computational design of new materials such as topological and Chern insulators are examined.