A Note on Electronic State of Random Lattice
Fumiko Yonezawa · Progress of Theoretical Physics · 1964
The modification of the density of electron energy levels and conductivity due to random impurities in solids is investigated. The diagram perturbation method developed by Matsubara and Toyozawa for semi-conductor (referred to as M-T method) is employed in actual calculation. In order to estimate the accuracy of the M-T method, we compare it with other methods. Detailed discussions on the nature of various approximations are given and perfect correspondence between the M-T method and those by Edwards and by Klauder is established. It is concluded that the M-T method is the tractable best approximation. Numerical calculation for simplified model of three dimensional system is performed and some results are shown.