Premium
An analysis of the fine structure in the main band of a disordered chain with dilute light impurity concentrations
Author(s) -
Wu ShiYu,
Chao M.
Publication year - 1975
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.2220680134
Subject(s) - impurity , chain (unit) , truncation (statistics) , binary number , electronic band structure , condensed matter physics , histogram , long chain , physics , statistical physics , chemistry , quantum mechanics , materials science , mathematics , statistics , image (mathematics) , computer science , polymer science , arithmetic , artificial intelligence
The main band of a disordered binary chain is studied, using Dean's method of negative mode counting, Schmidt's method of functional equation and an approximate theory of Wu. It is found that even for dilute light impurity concentrations, the main band is not smooth as previously believed, but has fine structure. By comparing the results of these calculations, the nature of the construction of the frequency spectrum in the form of a histogram is discussed. The truncation scheme in the approximate theory of Wu is also examined.