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The Roles of Soft Modes and the Central Peak in Phonon Relaxation for the Ising Model with Transverse Field
Author(s) -
Kashcheev V. N.
Publication year - 1980
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.2220980135
Subject(s) - phonon , ising model , condensed matter physics , transverse plane , physics , transverse field , field (mathematics) , scattering , longitudinal field , quantum mechanics , magnetic field , mathematics , structural engineering , pure mathematics , engineering
The damping and frequency shifts of the longitudinal and transverse phonons are derived in the right neighbourhood of the Curie point using the microscopic theory for ferroelectrics described by the pseudospin Ising model with transverse field. The scattering of phonons both on the soft modes and on the central peak gives the same contributions to the critical anomalies. The long‐range contributions to the effective “exchange integral” are also taken into account. The results coincide with predictions of the phenomenological theory.