2019
DOI: 10.1088/1674-4926/40/9/091101
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Some recent advances in ab initio calculations of nonradiative decay rates of point defects in semiconductors

Abstract: In this short review, we discuss a few recent advances in calculating the nonradiative decay rates for point defects in semiconductors. We briefly review the debates and connections of using different formalisms to calculate the multi-phonon processes. We connect Dr. Huang's formula with Marcus theory formula in the high temperature limit, and point out that Huang's formula provide an analytical expression for the phonon induced electron coupling constant in the Marcus theory formula. We also discussed the val… Show more

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Cited by 11 publications
(11 citation statements)
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“…Our first-principles calculations of electronic structure and total energy are carried out using spin-polarized density-functional theory (DFT), as implemented in the PWmat package, with the NCPP-SG15-PBE pseudopotentials for the exchange-correlation functional. To improve the accuracy of the total energy and electronic band structure, the Heyd–Scuseria–Ernzerhof (HSE06) hybrid functional method with a mixing parameter of 50% is employed.…”
Section: Methodsmentioning
confidence: 99%
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“…Our first-principles calculations of electronic structure and total energy are carried out using spin-polarized density-functional theory (DFT), as implemented in the PWmat package, with the NCPP-SG15-PBE pseudopotentials for the exchange-correlation functional. To improve the accuracy of the total energy and electronic band structure, the Heyd–Scuseria–Ernzerhof (HSE06) hybrid functional method with a mixing parameter of 50% is employed.…”
Section: Methodsmentioning
confidence: 99%
“…According to static coupling approximation, , the electron–phonon coupling constant can be obtained within one self-consistent field calculation. ,, Then, the nonradiative decay probability ( W ij ) can be calculated by the first-principles method: W i j = true( π k T λ true) 1 / 2 ( k 1 ω k 2 | C i , j k | 2 ) .25em exp [ true( E i E j λ true) 2 4 k T λ ] where C i , j k is the electron–phonon coupling constant between electronic states i and j , as well as phonon mode k . λ is the reorganization energy (structural relaxation energy between initial and final configurations after the charge state transition from i to j ).…”
Section: Methodsmentioning
confidence: 99%
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“…[ 38–40 ] If the occupancies of the phonon modes are n and m respectively for the corresponding initial and final states, Ψ i , n ( r , R ) and Ψ f , m ( r , R ) , the nonradiative decay probability W i f is then given by the Fermi golden rule. [ 34,41,42 ] W i f = 2 π n m p ( i , n ) false| V i n , f m false| 2 δ ( E i n E f m ) where V i n , f m = Ψ f , m ( r , R ) | H i , n ( r , R ) are the off‐diagonal matrix elements of the Hamiltonian H and p ( i , n ) is the probability of the initial vibrational modes n in the given electronic state i . p ( i , n ) = exp false( E i n / k normalB T false) n exp false( E i n / k normalB T false) …”
Section: Methodsmentioning
confidence: 99%
“…The carrier capture is a multi-phonon assisted electronic transition process. [154][155][156] The capture rate can be computed from DFT calculations, [157] and used to identify detrimental defects. [158,159] The key issue here is the calculation of electron-phonon coupling matrix for a large supercell containing defects.…”
Section: Defect Propertiesmentioning
confidence: 99%