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Multiphonon Intracenter Relaxation of Boron Acceptor States in Diamond

DOI:10.1134/s1063782618110040 期刊:Semiconductors 出版年份:2018 更新时间:2025-09-09 09:28:46
摘要: The relaxation rates are calculated in the adiabatic approximation, in which the steady-state impurity states are taken to be electronic-vibrational (vibronic) states. The probabilities of transitions between these states with the emission (or absorption) of one or several phonons are calculated in first-order perturbation theory on the assumption that the transitions are a result of the violation of adiabaticity. The electron part of the wave function of the vibronic state is described by a simple Hamiltonian with an isotropic effective mass. The wave function of the ground state is determined by the quantum defect method. According to the calculations, a hole relaxes from the excited boron acceptor state, whose energy is 304 meV higher than the energy of the ground state, to the ground state with the emission of two optical phonons with a rate of ~1011 s–1. This value is an estimate from above, since the model of nondispersive optical phonons used in the study overestimates the number of phonon modes, whose participation in relaxation is allowed by the energy conservation law. However, despite the rough approximation, it can be concluded that the multiphonon relaxation of boron acceptor states in diamond is a fast process.
作者: N. A. Bekin
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Theoretical estimations of the rate of the multiphonon relaxation of excited acceptor states in diamond, specifically focusing on the boron acceptor state with an energy 304 meV higher than the ground state.

The multiphonon relaxation of boron acceptor states in diamond is a fast process, with a calculated rate of ~1011 s–1 for the transition from the 304 meV state to the ground state. Despite the model's simplicity and potential overestimation, it provides a useful estimate of the relaxation rate, indicating significant influence on intracenter relaxation processes.

The model of nondispersive optical phonons overestimates the number of phonon modes participating in relaxation, leading to an overestimation of the relaxation rate. The description of the ground state by effective-mass theory may introduce errors due to the deep level nature of the states.

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