1984
DOI: 10.1139/p84-043
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Temperature dependence of the energy gap in semiconductors

Abstract: It is shown that the equation ΔE = αT2/(T + β), which is commonly used to describe the temperature variation of energy gaps in semiconductors, is a second order approximation of the electron–phonon interaction term in the recently proposed equation ΔE = UTs + Vθ[coth (θ/2T) – 1]. The calculation shows that the parameters α and β of the approximate equation can describe the characteristics of semiconductors only if the relation [Formula: see text] holds, with the validity limited by the magnitude of the existin… Show more

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Cited by 178 publications
(84 citation statements)
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“…The temperature dependence of E g in a semiconductor or insulator can be explained by the sum of two distinct mechanisms: thermal expansion of the lattice and the electron-phonon interaction. 23,24 In the case of CdTe, it is known that the lattice dilatation effect contributes more to the bandgap shift than the electron-phonon interaction above 100 K, while below 100 K the electron-phonon interaction is responsible for the energy shift. 23,25 The PL peak centered near 530 nm, which is thought to be caused by an interband transition, varied within a range of energies between the indirect and direct E g values (Fig.…”
Section: Resultsmentioning
confidence: 99%
“…The temperature dependence of E g in a semiconductor or insulator can be explained by the sum of two distinct mechanisms: thermal expansion of the lattice and the electron-phonon interaction. 23,24 In the case of CdTe, it is known that the lattice dilatation effect contributes more to the bandgap shift than the electron-phonon interaction above 100 K, while below 100 K the electron-phonon interaction is responsible for the energy shift. 23,25 The PL peak centered near 530 nm, which is thought to be caused by an interband transition, varied within a range of energies between the indirect and direct E g values (Fig.…”
Section: Resultsmentioning
confidence: 99%
“…The temperature dependence of the band-gap energy, in special, can be explained by the sum of two distinct mechanisms: the electron-phonon interaction and the lattice thermal expansion. The main contribution to the temperature dependence of the band-gap energy is attributed to electron-phonon interactions [3][4][5][6]. This effect can also be broken up into two contributions: the effect of the second-order electronphonon interaction taken to first order in perturbation theory -the so-called Debye-Waller terms, and the effect of the first-order electron-phonon interaction taken to second order in perturbation theory -the Fan terms [4,5].…”
Section: Introductionmentioning
confidence: 99%
“…This low and high temperature data published by Nakanishi and coworkers [85] was subsequently fitted over the entire temperature range [89] to the Manoogian-Lecrerc equation [90]:…”
Section: Optical Properties Of Ternary Cu-iii-vi Materialsmentioning
confidence: 99%