Materials Science and Engineering B 165 (2009) 153–155
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Materials Science and Engineering B
journal homepage: www.elsevier.com/locate/mseb
Surface and interface-related phonon modes in InN/AlN
nanolayer structures
E. Valcheva
a,∗
, M. Baleva
a
, G. Zlateva
b
a
Faculty of Physics, Sofia University, 5 J. Bourchier blvd, 1164 Sofia, Bulgaria
b
Faculty of Medicine, Sofia University, 1 Koziak str, 1407 Sofia, Bulgaria
article info
Article history:
Received 25 August 2008
Received in revised form 9 September 2009
Accepted 11 September 2009
Keywords:
Nitrides
InN
Interface phonon-polariton dispersion
Raman scattering
abstract
We study the conditions for appearance and observation of surface and interface phonon-polariton (SPP
and IPP) modes in thin InN layers grown on sapphire using AlN buffer. Theoretical dispersion relations
of the IPP modes in the system air/InN/AlN/sapphire for different thickness of the InN layer are obtained.
Features, additional to those due to the compounds optical phonons, are observed. The asymmetry in
the experimentally observed Raman mode peaks is associated with the appearance of interface phonon-
polariton excitations at wave-numbers between the TO and LO modes, which are not reported by now.
© 2009 Elsevier B.V. All rights reserved.
1. Introduction
The reduced dimensionality in multilayer structures gives
rise to vibrational modes that are fundamentally different from
the bulk ones—these are the interface phonon-polariton modes.
They often become dominant in nanoscaled structures which
imposes an increased interest in this subject. The interface phonon
modes are expected to appear between the longitudinal (LO)
and transverse optical (TO) frequencies of the media, where
the dielectric function is negative. Considerable attention has
been paid to the localized interface phonon-polariton modes in
superlattice (SL) and multiquantum well structures from III–V
compounds, e.g. AlAs–GaAs SLs [1]. There are also studies on the
III-nitride material system, mostly on AlN/GaN [2–4], while the
problem completely lacks investigation in structures comprising
InN.
InN is still the least investigated representative of the group
III-nitrides, although it experienced a renaissance with the devel-
opment of sophisticated epitaxial growth techniques as molecular
beam epitaxy (MBE) and metal-organic chemical vapour deposi-
tion (MOCVD). The remarkable electrical and optical properties
such as small effective mass, high electron drift velocity and
small band-gap energy (∼0.7 eV) make InN a promising material
for high-frequency transistors, telecommunication-wavelength
∗
Corresponding author. Tel.: +359 2 8161 898; fax: +359 2 9625 276.
E-mail address: epv@phys.uni-sofia.bg (E. Valcheva).
optoelectronic devices, and solar cells. The interest in inter-
face polariton modes stems from the knowledge that modes
localized at the interfaces of multilayer heterostructures are
found to play an important role in the electron–phonon
interactions and hence to the operation of optoelectronic
devices.
In this work we study in particular the conditions for appear-
ance and observation of surface and interface phonon-polariton
(SPP and IPP) modes in thin InN layers grown on sapphire using AlN
buffer. Theoretical dispersion relations of the IPP modes in the sys-
tem air/InN/AlN/sapphire for two different thicknesses of the InN
layer are obtained. The asymmetry in the experimentally observed
Raman mode peaks was associated with the appearance of inter-
face phonon-polariton excitations at wave-numbers between the
TO and LO modes.
2. Dispersion relations of surface and interface
phonon-polaritons
The dispersion relations can be derived within the dielectric
continuum model. The existence of interfaces in a multilayer
structure is then reflected by periodic modulation of the dielec-
tric function. Further phonon dispersion relations are calculated
from the Maxwell equations following the approach of Mills and
Maradudin [5]. As far as more complicated four-layer structure
air/InN/AlN/sapphire is considered a system of equations for the
four interfaces was constructed. In the assumption of isotropic
media and light velocity c →∞, and applying conventional bound-
ary conditions for continuity of the polariton electric field at each
0921-5107/$ – see front matter © 2009 Elsevier B.V. All rights reserved.
doi:10.1016/j.mseb.2009.09.016