Heisenberg-Lanczos 방법을 통한 응집물질계의 이해

Abstract

Recent interests in condensed matter physics are introduced and the dynamics of the interesting systems are studied through the HeisenbergLanczos method. The latter method gives rise to the continued fraction

representation when the bases vectors satisfy a recurrence relation. We show

the corresponding types of the continued fraction for the typical models in

condensed matte!" physics such as electron gas, Hubbard, and Anderson models

and appreciate the meanings of isolated poles and branch cuts in the analytic

forms of the retarded Green's function for the models.