2013
DOI: 10.1103/physrevb.87.245401
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Transition between direct and indirect band gap in silicon nanocrystals

Abstract: Using ground-state density functional theory we study the transition from indirect to direct band gap in hydrogen-terminated silicon nanocrystals (NCs) as a function of decreasing diameter. The studied range, from 1.0 to 4.6 nm diameter of nanocrystals, with spherical and Wulff-shape NCs, covers the transition from nano-to bulk regime. A change in the symmetry of the lowest unoccupied state as a function of decreasing NC diameter is observed, gradually increasing the oscillator strength of transitions from the… Show more

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Cited by 43 publications
(43 citation statements)
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“…The integration is performed in a realspace three-dimensional (3D) grid, the fineness of which is determined by the plane-wave cutoff. We used a plane-wave cutoff of 160 Ry, the same cutoff as in our previous calculations [3]. Numerical atomic orbitals are used as a basis set, single ζ with polarization orbital (SZP) for Si, double ζ (DZ) for H, and SZP for each of the other considered elements (O, C, F, Cl, S).…”
Section: Structural Models and Methodologymentioning
confidence: 99%
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“…The integration is performed in a realspace three-dimensional (3D) grid, the fineness of which is determined by the plane-wave cutoff. We used a plane-wave cutoff of 160 Ry, the same cutoff as in our previous calculations [3]. Numerical atomic orbitals are used as a basis set, single ζ with polarization orbital (SZP) for Si, double ζ (DZ) for H, and SZP for each of the other considered elements (O, C, F, Cl, S).…”
Section: Structural Models and Methodologymentioning
confidence: 99%
“…We refer the reader to Ref. [3] for a more detailed discussion of basis sets for different elements. Furthermore, we explicitly evaluated the dipole transition matrix elements between each occupied and unoccupied eigenstate up to 15 eV, from where the imaginary part of the dielectric tensor is calculated.…”
Section: Structural Models and Methodologymentioning
confidence: 99%
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