Cy. Yeh et al., CONFINEMENT, SURFACE, AND CHEMISORPTION EFFECTS ON THE OPTICAL-PROPERTIES OF SI QUANTUM WIRES, Physical review. B, Condensed matter, 50(19), 1994, pp. 14405-14415
We have used the empirical pseudopotential method to study the electro
nic and optical properties of [001] Si quantum wires with (110)-(($) o
ver bar 110) square cross sections ranging from 4x4 to 14x14 monolayer
s (7.7x7.7 to 26.9x26.9 Angstrom, respectively). We present energy lev
els, band gaps, oscillator-strength, and charge-density distributions.
To understand-the electronic structure of these systems we calculate
their properties in a stepwise process, considering (1) wires with a f
ree surface but without hydrogen and (2) wires with hydrogen chemisorp
tion on the surface. We find that (i) in both cases, the band gap betw
een bulklike states increases as the wire size is;reduced (due to quan
tum confinement). However,(ii) hydrogen chemisorption acts to reduce t
he gap. (iii) Whereas the low-energy states near the valence-band mini
mum are effective-mass-like, the near-band-gap states with or without
H on the surface can be decisively non-effective-mass-like. The lowest
conduction states are pseudodirect, not direct. (iv) The calculated e
nergy dependence of the transition lifetimes is too strong to explain
the observed low-energy ''slow'' emission band in porous Si purely in
terms of transitions in an ideal wire. However, an alternative model,
which introduces a mixture of wires and boxes, can account for the exp
erimental slope.