An improved theory of multiphonon relaxation in solids

Abstract
We derive a general formula, using Fermi’s golden rule, for the multiphonon relaxation rate for a two‐level system coupled off‐diagonally to a bath of phonons. Our result is valid for any scalar form of the system‐bath interaction potential. With our result we analyze experimental data involving the energy gap and temperature dependence of electronic relaxation rates for rare‐earth ions in YAlO3.

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