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Electronic States of the Dilute Transiation Metal–Simple Metal Alloy According to the Resonant Model Potential Method
Author(s) -
Dagens L.
Publication year - 1979
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220930133
Subject(s) - hamiltonian (control theory) , alloy , metal , transition metal , hermitian matrix , tight binding , simple (philosophy) , limit (mathematics) , matrix (chemical analysis) , condensed matter physics , impurity , aluminium , hamiltonian matrix , chemistry , materials science , physics , electronic structure , atomic physics , quantum mechanics , mathematics , metallurgy , eigenvalues and eigenvectors , mathematical analysis , symmetric matrix , mathematical optimization , biochemistry , catalysis , philosophy , epistemology , chromatography
The 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.