1987
DOI: 10.1103/physrevb.36.3199
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Electronic structure of ZnS, ZnSe, ZnTe, and their pseudobinary alloys

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Cited by 423 publications
(219 citation statements)
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“…15 In this regard the present treatment using the very large supercells is expected to inherently capture most random lattice pair-correlations up to about the 6 th nearest neighbor. As we shall show below, our Ge 1-y Sn y simulations yields nearly Gaussian bond species distributions which follow the expected limiting statistical behavior based on concentration products, namely y 2 , 2y(1-y) and (1-y) 2 for Sn-Sn, Sn-Ge and Ge-Ge bonds, respectively. For a 1000-atom diamond lattice unit cell, the number of bonds is 2000 (e.g., four bonds per tetrahedral site, times ½ for double counting).…”
Section: Theorymentioning
confidence: 99%
See 1 more Smart Citation
“…15 In this regard the present treatment using the very large supercells is expected to inherently capture most random lattice pair-correlations up to about the 6 th nearest neighbor. As we shall show below, our Ge 1-y Sn y simulations yields nearly Gaussian bond species distributions which follow the expected limiting statistical behavior based on concentration products, namely y 2 , 2y(1-y) and (1-y) 2 for Sn-Sn, Sn-Ge and Ge-Ge bonds, respectively. For a 1000-atom diamond lattice unit cell, the number of bonds is 2000 (e.g., four bonds per tetrahedral site, times ½ for double counting).…”
Section: Theorymentioning
confidence: 99%
“…The magnitude of these bowing parameters has been successfully correlated with the mismatch in size and electronic properties between the constituent atoms. 2 For example, a comparative study of the optical properties of Si 1-x Ge x and Ge 1-y Sn y alloys 3 reveals much larger bowing parameters in the latter, which has been attributed to the larger difference in atomic sizes as well as electronegativities. In the case of the cubic lattice parameter, a small negative deviation from linearity was observed in Si 1-x Ge x alloys, 4 whereas a small positive departure was reported for Ge 1-y Sn y alloys.…”
mentioning
confidence: 99%
“…This model contrasts with more classical approaches 14 where the bowing parameter is decomposed in two terms, b = b I + b II , which represent the nonlinear effects already existing in a fictitious ordered alloy ͑b I ͒, and the contribution of disorder itself ͑b II ͒. b I may be in turn considered as the sum of three different contributions, b I = b VD + b CE + b S .…”
Section: Introductionmentioning
confidence: 99%
“…Due to its applied interest, the band gap dependence on composition has been widely studied. [10][11][12][13][14][15][16][17][18] Understanding the band gap ͑E g ͒ dependence on composition ͑x͒ is also of fundamental interest. The band gap of the AB x C 1−x semiconductor alloys strongly deviates from the average gap of the constituents.…”
Section: Introductionmentioning
confidence: 99%
“…Our observation allows prediction of which metallic element combination could originate such a behavior, although it is not yet clear if the threshold value of χ cat , marking the onset of such a behavior, is equal or slightly different for regular (≥ 0.7) and non-regular (≥ 0.5) mixed oxides. In the case of mixed semiconducting alloys, Zunger and coworkers [25][26][27] discussed the role of the composition in determining the values of physical parameters of a generic semiconductor alloy M (1-x) N x X and observed that: "in absence of composition induced structural phase transitions in alloys or electronic direct-to-indirect bandgap crossover the physical properties P(x) were traditionally assumed to be simple continuous functions of the composition". In the case of the optical bandgap value, such a function assumes the form of the traditional bowing equation, represented by a linear term plus a small quadratic correction term, which can be written as:…”
Section: Theoretical Backgroundmentioning
confidence: 99%