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Model Calculations for Electrons in Amorphous Structures with Short‐Range Order
Author(s) -
Maschke K.,
Thomas P.
Publication year - 1970
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.19700390211
Subject(s) - electron , crystal (programming language) , amorphous solid , lattice (music) , electronic band structure , condensed matter physics , crystal structure , physics , range (aeronautics) , molecular physics , atomic physics , materials science , chemistry , crystallography , quantum mechanics , computer science , acoustics , composite material , programming language
The distribution of poles of the averaged one‐electron Green's function in the complex k ‐space has been investigated for a simple model consisting of point scatterers which form a slightly distorted primitive cubic lattice without long‐range order. For energies within the energy band of the corresponding crystal the poles of the amorphous case are found to represent “quasi‐crystal electrons” which, for small disorder, may be classified in a sense by a k ‐vector, while for energies near the crystal band edges (inside or outside the crystal band) the states are no longer comparable with crystalline states.