The certain phenomena that exhibit materials with strongly correlated electron systems, such as high- temprature super conductivity, metal-insulator transition and ecs, lead to in thesis to study on these systems. Specificly considering metal-insulator transition or Mott transition. Althogh electrons in these materials are almost from types d and f and band structure of these orbitals lead to interaction electron-electron (coulomb), such as band independent- electron models that encounter problems so for studing their properties we use Hubbard model constant hopping and interaction terms between electrons. Becouse of our methods for studing Mott transition in these materials was mean field theory that in it lattice structure divice two part impurity site and bath contain with impurity site, we well knew to use the Anderson impurity hamiltonian and in this way by using Anderson impurity hamiltonian matrice and Green function density of state to 2 D square lattice calculate first for one impurity site and two site of bath there was in first nighbourhood of thise site and is interaction with it and then for one impurity site and four site from bath there was in first nighbourhood from impurity site. And with charting density of state diagrams for them, we able to obtain Mott transition for this lattice and compare obtained results with results from other methodes that had been point out in therth chapter. At last with adding four second nighbourhood of impurity site explain these calculations and exhibit obtained results as density of state diagrams for numbers of strenth interaction U .
