2003
DOI: 10.1063/1.1614424
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Band structures of GaAs, InAs, and Ge: A 24-k.p model

Abstract: We present a generalized theoretical description of the 24×24 k.p approach for determining the band structure of the direct-band-gap semiconductors (GaAs, InAs) as well as the indirect-band-gap semiconductor (Ge), including far-level contribution (essentially the d levels). We extend the sp3s* basis functions by the inclusion of sV* orbitals. We find that the sp3“d”(s*)2 k.p model is fairly sufficient to describe the electronic structure of these systems over a wide energy range, obviating the use of any d orb… Show more

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Cited by 22 publications
(23 citation statements)
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“…[1][2][3][4][5][6][7][8][9] In all these references, the d levels are not taken into account. [1][2][3][4][5][6][7][8][9] In all these references, the d levels are not taken into account.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…[1][2][3][4][5][6][7][8][9] In all these references, the d levels are not taken into account. [1][2][3][4][5][6][7][8][9] In all these references, the d levels are not taken into account.…”
Section: Introductionmentioning
confidence: 99%
“…[1][2][3][4][5][6][7][8][9] In all these references, the d levels are not taken into account. 7 Within a sp 3 ͑s ‫ء‬ ͒ 2 basis, the 24-band Hamiltonian model can describe the band energy dispersion satisfactorily, 7-9 but fails to reproduce the second conduction bands, especially at the L point. With this 20-band k ϫ p model, valleys useful for transport were obtained.…”
Section: Introductionmentioning
confidence: 99%
“…Such a representation where all the relevant quantities are slowly varying continuous functions may lead one to believe that the model is a continuous one and that it cannot capture the full symmetry of the nanostructure. 31 The multiband kÁp Hamiltonians [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49] are capable of reproducing the bulk band structure more accurately than the standard 8-band Hamiltonian. Some of these, that include a large number of bands (Z15 or 30 after incorporation of the spin degree of freedom), are even capable of reproducing the bulk band structure throughout the whole Brillouin zone.…”
Section: Introductionmentioning
confidence: 99%
“…However, it fails in description of the second conduction band, especially the 2 nd L valley. The 24-band model is an extension of the 20-band model aiming at correcting the description of the valence bands and the two lowest conduction bands [27]. However, it still fails to finely reproduce the 2 nd L valley and introduces a great number of parameters.…”
Section: Introductionmentioning
confidence: 99%