Premium
Resonant Scattering of Phonons by Two‐Level Impurities
Author(s) -
Joshi Y. P.
Publication year - 1974
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.2220650244
Subject(s) - phonon , eigenvalues and eigenvectors , impurity , hamiltonian (control theory) , scattering , diagrammatic reasoning , physics , condensed matter physics , phonon scattering , quantum mechanics , matrix (chemical analysis) , mathematics , materials science , mathematical optimization , linguistics , philosophy , composite material
Application of the thermodynamic Green's functions is made to the study of phonen scattering by impurities that have two distinct integral configurations corresponding to different energy eigenvalues. Operators are defined which do the function of transferring the impurities from one state to another, and the Hamiltonian of the system is phenomenologically expressed in terms of these. Imaginary phonon Green's functious are calculated, using finite‐temperature S‐matrix expansion and diagrammatic representation. It is found that the phonon relaxation time, which is obtained from these Green's functions, explicitly involves a temperature dependent factor.