2022
DOI: 10.1007/s00339-022-05601-1
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Third harmonic generation of spherical multilayered quantum dot: effects of quantum confinement, impurity, electric and magnetic fields

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Cited by 15 publications
(3 citation statements)
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“…The analytical expression of the THG of spherical QDs can be obtained through using density matrix formalism and iterative methods. In our article, the THG coefficient relation takes the following form [ 31–33 ] χ 3 ω false( 3 false) = e 4 σ ν ε 0 italicħ 3 M 01 M 12 M 23 M 30 false( ω ω 10 + i Γ 10 false) false( ω ω 20 + i Γ 20 false) false( ω ω 30 + i Γ 30 false) where ω ij = ( E i − E j )/ ħ is transition frequency, σ v is the density of electrons in the QDs, M i j = | ψ j | z | ψ i | is the off‐diagonal matrix, Γ ij denotes relaxation rate, and ε 0 is the vacuum permittivity.…”
Section: Theory Sectionmentioning
confidence: 99%
See 1 more Smart Citation
“…The analytical expression of the THG of spherical QDs can be obtained through using density matrix formalism and iterative methods. In our article, the THG coefficient relation takes the following form [ 31–33 ] χ 3 ω false( 3 false) = e 4 σ ν ε 0 italicħ 3 M 01 M 12 M 23 M 30 false( ω ω 10 + i Γ 10 false) false( ω ω 20 + i Γ 20 false) false( ω ω 30 + i Γ 30 false) where ω ij = ( E i − E j )/ ħ is transition frequency, σ v is the density of electrons in the QDs, M i j = | ψ j | z | ψ i | is the off‐diagonal matrix, Γ ij denotes relaxation rate, and ε 0 is the vacuum permittivity.…”
Section: Theory Sectionmentioning
confidence: 99%
“…The analytical expression of the THG of spherical QDs can be obtained through using density matrix formalism and iterative methods. In our article, the THG coefficient relation takes the following form [31][32][33]…”
Section: Theory Sectionmentioning
confidence: 99%
“…In consequence, studies on impurity doped low‐dimensional semiconductor nanostructures have been widely explored [ 2–16 ] with special thrust on their NLO properties. [ 17–41 ]…”
Section: Introductionmentioning
confidence: 99%