Electronic States of the Dilute Transiation Metal–Simple Metal Alloy According to the Resonant Model Potential Method

Abstract

AbstractThe transition metal–simple metal alloy problem is formulated in the framework of the resonant model potential theory. It is reduced to a formally equivalent problem involving a tight‐bindinglike Hamiltonian, with non‐hermitian and energy dependent matrix elements. The s–d hybridization potential is exactly described by this non‐hermiticity. The Friedel‐Anderson virtual bound state (VBS) is recovered in the dilute limit. The theory is then applied to the 3d‐transition impurities in aluminium and the results are compared with observed values of the VBS widths.