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Phonon Relaxation in One‐ and Two‐Dimensional Displacive‐Type Ferroelectrics
Author(s) -
Kashcheev V. N.
Publication year - 1978
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.2220890105
Subject(s) - phonon , quartic function , condensed matter physics , soft modes , formalism (music) , physics , relaxation (psychology) , quantum mechanics , statistical physics , ferroelectricity , mathematics , dielectric , psychology , pure mathematics , art , musical , social psychology , visual arts
The dampings and frequency shifts (one‐dimensional case) for acoustic phonons as well as for the soft mode due to cubic and quartic anharmonism are derived for the Silverman model of one‐and two‐dimensional displacive‐type ferroelectrics. Contributions from the various phonon–phonon interactions to the phonon dampings are considered and the damping critical exponents are found. In the calculations a self‐consistent formalism in the hydrodynamical limit is used.