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Vibrational Behaviour of Mixed Diatomic Crystals AB 1− c C c within the Bethe Lattice
Author(s) -
Kleinert P.
Publication year - 1983
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.2221180134
Subject(s) - diatomic molecule , lattice (music) , bethe lattice , impurity , condensed matter physics , simple (philosophy) , physics , simple cubic lattice , chemistry , quantum mechanics , statistical physics , mathematics , molecule , statistics , acoustics , monte carlo method , ising model , philosophy , epistemology
The lattice dynamics of a simple Bethe lattice is treated exactly for the single‐defect problem and within the framework of the coherent potential approximation (CPA). There is a critical mass ratio of an impurity for the emergence of localized modes, if the coordination number is greater than two. This simple approach successfully predicts the one‐ and two‐mode behaviour as well as the mixed‐mode behaviour of many III–V and II–VI mixed crystals. The CPA calculation reproduces essential results already obtained by more elaborated theories.