2006
DOI: 10.1590/s0103-97332006000300038
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Hydrogenated Ge nanocrystals: band gap evolution with increasing size

Abstract: The electronic band structure of various Ge quantum wires of different sizes, with hydrogenated surfaces, is studied using a nearest-neighbor empirical tight-binding Hamiltonian by means of a sp 3 s* atomic orbitals basis set. We suppose that the nanostructures have the same lattice structure and the same interatomic distance as in bulk Ge and that all the dangling bonds are saturated with hydrogen atoms. These atoms are used to simulate the bonds at the surface of the wire and sweep surface states out of the … Show more

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Cited by 11 publications
(4 citation statements)
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“…6 illustrates that the energy band gap decreases towards its asymptotic bulk value with increasing cross-sectional diameter. The band gap of the nanowires increases monotonically with decreasing thickness, as has also been found in studies for semiconductors like Si or Ge [18,19]. These features of the band structures can be explained by a zone-folding argument of the bulk β-SiC bands onto the one-dimensional Brillouin zone of the wires.…”
Section: Resultssupporting
confidence: 74%
“…6 illustrates that the energy band gap decreases towards its asymptotic bulk value with increasing cross-sectional diameter. The band gap of the nanowires increases monotonically with decreasing thickness, as has also been found in studies for semiconductors like Si or Ge [18,19]. These features of the band structures can be explained by a zone-folding argument of the bulk β-SiC bands onto the one-dimensional Brillouin zone of the wires.…”
Section: Resultssupporting
confidence: 74%
“…32 Zone-folding is best observed in structures where the band gap offset is minimized at the interface; otherwise, there will be significant band bending. SiGe/Si superlattices are typical candidates for zone-folding, 23 whereas isolated QDs are not ideal candidates for zone-folding 27 because of the significant band offset. Calculations have predicted a direct gap behaviour in SiC nanowires.…”
Section: Figmentioning
confidence: 99%
“…(4), corresponding to the magnitude of the indirect gap, which plays the role of the phonon. 27,28 This type of transition is called pseudo-direct. Theoretically, one can calculate the band gap energy for indirect transitions without considering the phonon momentum.…”
mentioning
confidence: 99%
“…Thus, a basic understanding of nc-Ge's dielectric properties is critical for designing devices of desired performance; for instance, the nc-Ge size dependency is correlated with the properties of resistance and capacitance, 6 photoluminescence, 7,8 and band gap. 9,10 However, the mechanism for dielectric properties has not yet been well understood despite the developed models such as quantum confinement, [11][12][13] nearly free electrons 14 and single-oscillator. 15 Wang and Zunger proposed that the changes to the dielectric function of the material are due to the surface of the quantum dot, not the overall size of the dot.…”
Section: Introductionmentioning
confidence: 99%