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Autori principali: Zhou, Junjie, Wang, Shanshan, Huang, Menglin, Gong, Xin-Gao, Chen, Shiyou
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2501.04289
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author Zhou, Junjie
Wang, Shanshan
Huang, Menglin
Gong, Xin-Gao
Chen, Shiyou
author_facet Zhou, Junjie
Wang, Shanshan
Huang, Menglin
Gong, Xin-Gao
Chen, Shiyou
contents As a typical nonradiative multiphonon transition in semiconductors, carrier capture at defects is critical to the performance of semiconductor devices. Its transition rate is usually calculated using the equal-mode approximation, which assumes that phonon modes and frequencies remain unchanged before and after the transition. Using the carbon substitutional defect ($\text{C}_\text{N}$) in GaN as a benchmark, here we demonstrate that the phonon renormalization can be significant during defect relaxation, which causes errors as large as orders of magnitude in the approximation. To address this issue, we consider (i) Duschinsky matrix connecting the initial-state and final-state phonons, which accounts for the changes in phonon modes and frequencies; and (ii) the off-diagonal contributions in total transition matrix element, which incorporates the cross terms of electron-phonon interactions between different modes. With this improvement, the calculated transition rates show agreements with experimental results within an order of magnitude. We believe the present method makes one step forward for the accurate calculation of multiphonon transition rate, especially in cases with large defect relaxations.
format Preprint
id arxiv_https___arxiv_org_abs_2501_04289
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Defect Phonon Renormalization during Nonradiative Multiphonon Transitions in Semiconductors
Zhou, Junjie
Wang, Shanshan
Huang, Menglin
Gong, Xin-Gao
Chen, Shiyou
Materials Science
As a typical nonradiative multiphonon transition in semiconductors, carrier capture at defects is critical to the performance of semiconductor devices. Its transition rate is usually calculated using the equal-mode approximation, which assumes that phonon modes and frequencies remain unchanged before and after the transition. Using the carbon substitutional defect ($\text{C}_\text{N}$) in GaN as a benchmark, here we demonstrate that the phonon renormalization can be significant during defect relaxation, which causes errors as large as orders of magnitude in the approximation. To address this issue, we consider (i) Duschinsky matrix connecting the initial-state and final-state phonons, which accounts for the changes in phonon modes and frequencies; and (ii) the off-diagonal contributions in total transition matrix element, which incorporates the cross terms of electron-phonon interactions between different modes. With this improvement, the calculated transition rates show agreements with experimental results within an order of magnitude. We believe the present method makes one step forward for the accurate calculation of multiphonon transition rate, especially in cases with large defect relaxations.
title Defect Phonon Renormalization during Nonradiative Multiphonon Transitions in Semiconductors
topic Materials Science
url https://arxiv.org/abs/2501.04289