978-1-4244-7199-7/10/$26.00 © 2010 IEEE
PROC. 27th INTERNATIONAL CONFERENCE ON MICROELECTRONICS (MIEL 2010), NIŠ, SERBIA, 16-19 MAY, 2010
Probing the Electrical Properties of the Si Nitride/Si
Interface
C. Tsonos, A. Kanapitsas, A. Karagounis, I. Stavrakas, D. Triantis, C. Anastasiadis,
P. Photopoulos, V. Em. Vamvakas and P.Pissis
Abstract - The present publication employs Dielectric Relaxation
Spectroscopy for the examination of the relaxation mechanisms in
silicon nitride MIS structures. These results are combined with
capacitance and conductance measurements in order to give a
more complete picture of the dielectric behaviour of silicon
nitride. The analysis concludes with a method based on Dielectric
Relaxation Spectroscopy for the calculation of the depletion layer
width.
IINTRODUCTION
Silicon nitride is material widely used in
microelectronics. Some of its applications include Si
3
N
4
films as gate dielectrics in MOS transistors [1] or in MOS
ICs in the form of thin nitride-oxide layers [2] for memory
applications. Because of these and other applications the
dielectric properties of Si
3
N
4
have been extensively studied
[3,4].
The calculation of the depletion width for an MIS
structure, a p-n or a Schottky diode, is based on the
solution of the Poisson equation by making some
approximations based on the relative magnitudes of the
carrier concentrations and the impurity concentrations in
the depletion region. In all these cases the depletion width
w of the induced space charge depletion region, is
proportional to
2 / 1
V
, where V is the build in voltage
bi
V
for the case of p-n diodes or the potential drop across the
semiconductor, usually denoted by
s
<
, for the case of a
MIS structure [5]. The above dependence assumes a
crystalline and uniformly doped semiconductor, and finds
that in the full depletion approximation the magnitude of
the net charge density in the depletion region is equal to the
product of the unit charge and the dopant density.
Nonetheless determining the width of the depletion region
is not always straight forward especially for some novel
structures and devices. One example is organic
semiconductor structures. This is because of the fact that
density of the trapped charges in such structures is not
constant within the depletion region and changes with the
bias voltage; consequently Poisson’s equation has to be
solved numerically to obtain the depletion width [6]. To do
so, the density of states in the organic is required, which is
strongly dependent on the molecular order in the
semiconductor. An experimental method has been recently
proposed by Takshi et. al. [7] where it was found that the
depletion width does not follow the square root law
dependence on applied voltage.
In a different type of application, the width of the
depletion region affects the efficiency of solar cells. In a
recent publication Eun-Chel Cho et. al. [8] reported the
fabrication of silicon quantum dot/crystalline silicon solar
cells. In such devices the calculation of the depletion width
is not a straightforward issue but it does play a critical role
in the efficiency of the solar cells. Finally, accurate
knowledge of the depletion layer width is also necessary in
the case of reliability tests in MOSFET devices.
II DEVICE LAYOUT AND EXPERIMENTAL
TECHNIQUES
MIS devices were fabricated by Al deposition (11 mm
in diameter), over a 99 nm thick Si
3
N
4
layer grown on a
380ȝm thick n-type Si substrate. Ohmic contacts were
formed on the Si-substrate by aluminum alloying. Detailed
description of the growth of the Si
3
N
4
film has been
reported in previous work [10]. A Novocontrol Alpha
Analyser in combination with the Novocontrol Quatro
Cryosystem was used for the Capacitance – Voltage (C-V),
Conductance – Voltage (G-V) and Dielectric Relaxation
Spectroscopy (DRS) measurements. For the C-V and G-V
measurements the applied voltage ranged from -15 V to
+15 V with steps of 0.5 V (and 0.1 V in depletion region)
in the frequency range 1 kHz – 100 kHz, while the DRS
measurements were carried out in the frequency range 10
Hz – 1MHz. All measurements have been carried out at
room temperature, 300 K.
III RESULTS AND DISCUSSION
In order to identify the accumulation-depletion-
inversion regions of the device, the capacitance-voltage
and conductance-voltage characteristics for various
frequencies were determined simultaneously. Fig. 1 depicts
the C-V curves for the silicon nitride MIS structure with
C. Tsonos, A.Kanapitsas, and A. Karagounis are with the
Electronics Department, Technological Educational Institute of
Lamia, 35100 Lamia, Greece, E-mail: tsonos@teilam.gr,
I. Stavrakas, D. Triantis, C. Anastasiadis, P. Photopoulos are
with the Electronics Department, Technological Educational
Institute of Athens, 12210 Athens, Greece,
V.Em. Vamvakas is with the HelioSphera S.A. Building Block
8, Street 5, Industrial Area of Tripolis, 22100, Tripolis, Greece, and
P. Pissis is with the Physics Department, National Technical
University of Athens, 15780 Zografou, Athens, Greece.