LINE SHAPE IN RESONANCE RAMAN SCATTERING FROM SILICON
QUANTUM DOTS
R.K. SONI, L.F. FONSECA, 0. RESTO, S.Z. WEISZ AND S. TRIPATHY *
Department of Physics, University of Puerto Rico, San Juan, PR-00931, USA
*Department of Physics, Indian Institute of Technology, New Delhi-i 10016, INDIA
ABSTRACT
We have carried out a resonance Raman study of line-shape in silicon quantum dots
synthesized on a quartz substrate by co-sputtering bulk Si and Si0
2
. Optical transmission
measurements are used to evaluate dot size distribution. The size distribution shows peaks
around 1.0 and 1.4 nm. The Si dots exhibit photoluminescence in the visible region, which
shifts to higher energy with decreasing size. The size dependence of Raman scattering shows
phonon softening and increasing asymmetrical broadening for small dots (< 2nm). The
observed spectra are compared with calculations considering electron-hole interactions at a
quasi-direct gap of a spherical quantum dot.
INTRODUCTION
Nanometer size Si crystals show marked improvement in photoluminescence (PL)
quantum efficiency compared to bulk silicon and are, therefore, attractive for silicon based
optoelectronic applications [1]. The PL observed from Si nanocrystals is attributed to
quantum size effects. The effect of carrier confinement and band gap upshift in Si
nanocrystals has been discussed intensively in the literature [1]. The photoluminescence
energy for Si nanocrystals have been calculated by using the empirical psudopotentials [2],
the third nearest neighbor tight binding [3] and time dependent tight binding techniques [4].
Despite the apparent disagreement in predicting the peak PL energy, these calculations
demonstrate that the PL energy increases as the nanocrystal size decreases and the dominant
contribution to the visible light emission comes from nanocrystals smaller than 2 nm.
The resonantly excited PL spectrum has shown long radiative lifetimes in Si
nanocrystals and provides important evidence that phonons are directly involved in the
radiative recombination process [5]. Clearly, this suggests that the Si nanocrystal energy band
remains indirect type. Theoretical calculations, however, indicate that a quasi-direct gap in
nanocrystal Si is possible for sizes 1.0-1.5 nm in diameter [3].
Raman scattering techniques are commonly used for semiquantitative determination of
size effects on vibrational modes, such as confined optical phonon, surface phonon and
confined acoustic phonon, in nanocrystal or quantum dots (QD) [6-11]. An adequate
knowledge of the bulk phonon dispersion is a prerequisite for understanding lattice
dynamical properties and electron-phonon interactions in QD. The first-order resonant
Raman scattering via the Fr6lich interaction has been investigated for spherical QD [9]. The
electronic intermediate state was considered as uncorrelated electron-hole pairs. Electron-
hole correlation effects via Coulomb interaction on Raman amplitude for spherical QD has
also been reported [10,11]. It was shown that the resonant scattering efficiencies depend
strongly on the Coloumb correlation and only excitonic states and vibrational modes with
zero angular momentum were allowed in the Raman process.
The effect of carrier confinement on optical phonons in Si QD has been widely studied
by Raman scattering [6-8]. The size effect is reflected in a finite wave vector of QD and
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Mat. Res. Soc. Symp. Proc. Vol. 571 © 2000 Materials Research Society