Virginia Tech. Physics DepartmentFordham University. Department of PhysicsMancini, Jay D.Potter, Charles D.Bowen, Samuel P.2015-05-212015-05-211987-04-15Mancini, J. D., Potter, C. D., Bowen, S. P. (1987). Strongly correlated electron ground_state energy approximations for Anderson_like models. Journal of Applied Physics, 61(8), 3168-3170. doi: 10.1063/1.3378290021-8979http://hdl.handle.net/10919/52397We report preliminary results of convergence properties for nonperturbative resolvent approximations to Anderson_like models of magnetic ions in metals. Our study is initially focused on the spin_ 1/2 Anderson model for magnetic impurities, but the methods studied can include multiplet and crystal_field effects which are needed for more accurate descriptions of real systems. We will compare the nonperturbative Lanczos method (tridiagonalization) and similar truncation schemes to exact ground_state energies for the impurity model and assess the efficacy of these nonperturbative approaches to understanding the Anderson lattice, heavy fermions, and other strongly interacting electronic systems.4 pagesapplication/pdfen-USIn CopyrightHeavy fermion systemsHeavy fermionsLattice fermion modelsStatistical propertiesStrong interactionsArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jap/61/8/10.1063/1.337829https://doi.org/10.1063/1.337829