Resonant phonon scattering in a coupled spin-phonon system

From a perturbation treatment of phonon scattering by a spin system of arbitrary concentration, we derive the frequency and concentration dependence of the phonon relaxation time, which are important for the analysis of thermal conductivity experiments. Comparison is made with theories of coupled spin-phonon modes based on Green-function methods. Пepтypбaциoннoй oбpaбoткoй pacceяния фoнoнoв cпинoвoй cиcтeмoй пpoизвoльнoй кoнцeнтpaции, мы пoлyЧaeм зaвиcимocть вpeмeни peлaкcaции фoнoнoв oт ЧacтoтЫ и кoнцeнтpaции, кoтopыe вaжны для aнaлизa экcпepимeнтoв тeплoпpoвoдимocти. Peзyльтaты cpaвнeны c тeopиями coпяжeнныч cпocoбoв cпинa-фoнoнa, ocнoвывaющимиcя нa мeтoдaч фyнкции Гpинa.