Journal of Modern Physics, 2012, 3, 517-520
http://dx.doi.org/10.4236/jmp.2012.37070 Published Online July 2012 (http://www.SciRP.org/journal/jmp)
Variable Range Hopping in Hydrogenated Amorphous
Silicon-Nickel Alloys
Abdelfattah Narjis
1
, Abdelhamid El Kaaouachi
1*
, Abdelghani Sybous
1
, Lhoussine Limouny
1
,
Said Dlimi
1
, Abdessadek Aboudihab
1
, Jamal Hemine
2
, Rachid Abdia
1
, Gerard Biskupski
3
1
Research Group ESNPS, Physics Department, Faculty of Sciences,
University Ibn Zohr, Agadir, Morocco
2
Laboratoire de Physique de la Matière Condensée, Département de Physique,
Faculté des Sciences et Techniques de Mohammadia, Mohammedia, Morocco
3
Laboratoire de Spectroscopie Hertzienne (LSH), Université des Sciences et Technologies de Lille I,
Villeneuve d’Ascq, France
Email:
*
kaaouachi21@yahoo.fr
Received September 12, 2011; revised October 11, 2011; accepted November 12, 2011
ABSTRACT
On the insulating side of the metal-insulator transition (MIT), the study of the effect of low Temperatures T on the elec-
trical transport in amorphous silicon-nickel alloys a-Si
1–y
Ni
y
:H exhibits that the electrical conductivity follows, at the
beginning, the Efros-Shklovskii Variable Range Hopping regime (ES VRH) with T
−1/2
. This behaviour showed that long
range electron-electron interaction reduces the Density of State of carriers (DOS) at the Fermi level and creates the
Coulomb gap (CG). For T higher than a critical value of temperature T
C
, we obtained the Mott Variable Range Hopping
regime with T
−1/4
, indicating that the DOS becomes almost constant in the vicinity of the Fermi level. The critical tem-
perature T
C
decreases with nickel content in the alloys.
Keywords: Amorphous Silicon-Nickel Alloys a-Si
1–y
Ni
y
:H; Variable Range Hopping Conductivity; Transport
Phenomenon; Metal Insulator Transition
1. Introduction
Experimental results on resistivity in amorphous silicon-
nickel alloys a-Si
1–y
Ni
y
:H at low temperature, have been
analysed in the insulating side of the Metal-Insulator
Transition (MIT). The resistivity measurements were
obtained for the insulating samples, Si
0.85
Ni
0.15
:H and
Si
0.83
Ni
0.17
:H, in the range of temperature 1 - 140 K.
The samples were prepared by radio-frequency sput-
tering from silicon target. The subtracts (Corning 7059
glass) were at room temperature during deposition and
the sputtering gaz was a 90% Ar and 10% H
2
. The hy-
drogen was added to saturate silicon dangling bonds that
might caused by the disorder.
Compositions of the samples were determined by en-
ergy dispersive analysis with x-rays (EDAX). Film thick-
ness which were about 1 µm, were measured to an accu-
racy of 0.1 µm using a Talysurf stylus. The amorphous
nature was demonstrated by electron diffraction meas-
urements in a transmission electron microscope.
For the sample Si
0.83
Ni
0.17
:H, the electrical resistivity
was measured using standard four-terminal AC tech-
niques. However, this method gave rise to very long out
of phase signal in the sample the most resistive (i.e.,
Si
0.85
Ni
0.15
:H), why the measurements were made using
four-terminal DC technique .
It is known that the Variable Range Hopping (VRH)
conductivity of the three dimensional disordered systems,
was shown by Mott [1,2] to behave like Ln(σ)α(T/T
0
).
This dependence was obtained by optimizing the hopping
probability and assuming a slowly varying Density of
State (DOS) in the vicinity of the Fermi level.
On the contrary, Efros and Shklovskii (ES) [3,4] have
predicted that long range electron-electron interaction
reduces the DOS at the Fermi level and creates a soft
Coulomb Gap (CG), which takes the form N(E)α(E −
E
F
)
ν
, with ν = 2. The existence of the CG leads to the ES
VRH regime of the conductivity, which is written:
0 0
exp
p
T T
(1)
With p = (ν + 1)/(ν + 4) is an exponent that allows to
conclude the profile of the DOS. In fact, Equation (1)
remains quite universal since, when ν = 0, the DOS is
constant and p = 0.25, corresponding to the Mott regime.
But when ν = 2, the DOS varies in the vicinity of the
*
Corresponding author.
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