Exact solution of an impurity semiconductor model by Hamiltonian renormalization

摘要

In this paper, we present exact solutions for a semiconductor model treated in the framework of Wegner's flow equation (continuous Hamiltonian renormalization) method. We considered as model a two-band Anderson impurity Hamiltonian with band-band and band-impurity hybridization and also with e-e interaction on the localized states of the impurity. Exact solutions are obtained for the renormalized level of the impurity for both vanishing and non-vanishing Hubbard term. The bands-impurity hybridization couplings vanish as a result of the flow-renormalization while the band energies do not change (as required). (C) 2004 Elsevier B.V. All rights reserved.