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International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013
17
Simulation of AlGaN/Si and InN/Si ELECTRIC
–DEVICES
Zehor Allam1
, Abdelkader Hamdoune2
, Chahrazed Boudaoud3
,
Asmaa Amrani 4
,Aicha Soufi5
,Zakia Nakoul6
Unity of Research “Materials and Renewable Energies”, Faculty of Science, University
of Abou-bekr Belkaid, PO Box 230, 13000, Tlemcen, ALGERIA
zh1344@yahoo.fr
ABSTRACT
In this work, efficient solar-blind metal-semiconductor photodetectors grown on Si (111) by
molecular beam epitaxy are reported. Growth details are described,the comparison enters the
properties electric of InN/Si and AlGaN/Si photodectors with 0.2 µm of AlGaN and InN layers.
Modeling and simulation were performed by using ATLAS-TCAD simulator. Energy band
diagram, doping profile, conduction current density,I-V caracteristic , internal potential and
electric field were performed.
KEYWORDS
AlGaN, InN, growth,UV photodetector.
1. Introduction
Development of wide-band gap III-nitride semiconductors has been a subject of intense focus
since the 1990s, the III-nitride semiconductor material system has been viewed as highly
promising for semiconductor device applications at blue and ultraviolet (UV) wavelengths in
much the same manner that its highly successful As-based and P-based counter parts have been
exploited for infrared, red and yellow wavelengths. The family of III-V nitrides, AlN, GaN, InN
and their alloys are the materials of band gap. Wurtizite structure of GaN, AlN and InN have
direct bandgaps with ambient temperature of 3.4, 6.2 and 1, 9 eV, respectively (Fig. 1) and the
cubic form of GaN and InN have direct gap, while AlN is indirect. Given the wide range of direct
bandgaps available GaN allied with AIN and InN can extend over a continuous range of energies
direct bandgap in the visible part of the spectrum into the UV wavelengths. So therefore the
system nitride became interesting for optoelectronic applications such as light emitting diodes
which call (LED), laser diodes (LDs), and sensors, which are widely used in the green
wavelengths, blue or UV [1].
In modern technology, the needs for high quality materials represents a vital requirement. Here,
basic research is very important in order to understand the growth mechanisms and consequently
to improve materials quality by controlling growth conditions and also by investigating new
routes to implement the capability of modern growth techniques [2].
Thanks to its wide direct bandgap AlGaN alloy has an excellent choice for optoelectronic
devices in the Ultraviolet and visible part of the spectrum. Great attention has been received in
recent years for the development of visible-blind ultraviolet photodetectors [3].
International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013
18
Fig.1. The Band gap of the a- Phase hexagonal and Phase B cubic of InN, GaN, AlN and their alloys.
2. Simulation and Modeling
The proposed structure of photodetectors is shown in Fig. 2 and Fig.3; it was
simulated using ATHENA and ATLAS in SILVACO TCAD device simulation.
Fig.2. Structures of InN/Si photodetector with 0.2µm of the InN.
International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013
19
Fig.3. Structures of AlGaN/Si photodetector with of the 0.2µm AlGaN .
ATHENA was employed to define the device structure in two dimensions (x-and y-axis).
ATLAS was used to evaluate the characteristics of the photo-devices both with and
without illumination. Since ATLAS does not contain all necessary properties of InN and
AlGaN-based material, we had to calculate and enter the following parameters in the
simulation software.
The band gap energy of AlxGa1-xN ternary is given by equation (1), using Vegard Law,
where b is the bowing parameter.
1( ) ( ) (1 ) ( ) (1 )g x g gxE Al Ga N x E AlN x E GaN b x x          (1)
1( ) 6.28 3.42(1 ) 1.3 (1 )g x xE Al Ga N x x x x        (2)
We consider at 300K: Eg(InN)=1.9 eV, Eg(GaN) = 3.42 eV, Eg(AlN) = 6.28 eV, and b = 1.3eV
[4].
For x = 0.2, we obtain Eg(Al0.2Ga0.8N) = 3.86 eV.
The numerical simulation of photodetector has been carried out for non-degenerate
semiconductor and parabolic shape of conduction band. The simulation involves solution of five
decoupled equations using Newton’s iteration technique.
The doping of various regions is shown in Fig.3, for all regions in the above simulation. In the
simulation of dark current, associated with photodetector; Auger, SRH and optical (tape to tape)
models were taken into account in calculating. The stated band-to-band (BTB) tunneling model
has been considered in order to account for tunneling mechanism.
The surface recombination process at the contacts and heterointerface has been taken into account
in simulation. The quality of the interface has been characterized in terms of surface
recombination velocity. The Fermi–Dirac statistic for parabolic shape of conduction band has
been taken in all the calculations of carrier and doping densities.
For the simulation of dark current associated with photodetector; the radiative recombination,
SRH, Auger, and surface recombination rates are modeled as:
International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013
20
2
( )opt opt
c c iR C pn n  (4)
2
exp exp
i
SRH
t t
i ipO nO
pn n
R
E E
n n p n
kT kT
 
      
      
      


     
(5)
2 22 2
( ) ( )n pAuger i iR C n C np nn p pn    (6)
2
exp exp
i
surf
eff efft t
p i n i
pn n
R
E E
n n p n
kT kT
 
      
      
      


     
(7)
Here is the capture rate of carriers; and Cn and Cp and Auger are coefficients for electrons
and holes respectively. Here n and p are equilibrium electron and hole concentration, Et is energy
level of trap, ni is intrinsic carrier concentration, and are SRH lifetime of electrons and
holes respectively, and and are effective life times of electrons and holes respectively
[5].
The simulation diagram of energy band using the Blaze, which is interfaced with ATLAS, is
useful for 2-Dimension simulator III-V system and the II-VI materials devices with the band
structure dependent on the position [6].BLAZE accounts for the effects of positional dependent
band structure by modifications to the charge transport equations. The energy band diagram is
illustrated by Fig.4 and Fig.5.
Fig.4. Energy band diagram of InN/Si photodetector.
International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013
21
Fig.5. Energy band diagram of AlGaN/Si photodetector.
Fig.6. Net doping of Al0.2Ga0.8N/Si and InN/Si photodetectors.
3. Results and Discussions
The simulated results were obtained by developing program in DECKBUILD window interfaced
with ATLAS for two photodetectors, at 300 K. Instead of the graded doping, the numerical model
assumes a uniform doping profile. Once the physical structure of photodetector is built in
ATLAS, the properties of the material used in device must be defined. A minimum set of material
properties data includes bandgap, dielectric constant, electron affinity, densities of conduction
and valence band states, electron mobility, and hole mobility.
International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013
22
Fig.7. Conduction current density of InN/Si photodetector.
Fig.8. Conduction current density of AlGaN/Si photodetector.
Density of current threshold of 28.093 KA.cm-2
in InN/Si photodetector is larger than the
AlGaN/Si photodetector 4.621KA.cm-2
this difference of current of density because of the width
of band of energy.
The speed of electrons is influenced by the applied electric field has high saturation: in the case of
weak electrical fields, the drift velocity in a semiconductor is proportional to the electric field
with a proportionality constant given by mobility which is independent of electric field. In this
case, at high-impurity doping, a decrease of the drift velocity is observed. Non-linear effects in
mobility can be observed at large electric fields, and the velocity is independent of impurity
doping for high doping for which a saturation of the velocity occurs [2].
The electric field is large because of the burden of the interface, allowing the accumulation of
a high channel density and a strong confinement of the channel. In the AlGaN layer, the large
International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013
23
electric field to compensate for the contribution of the space charge from the ionized donor.
Consequently, it prevents the appearance of the parasitic channel that would otherwise form in
the doped AlGaN layer [7].
Fig.9. Simulated electric field profile in absence of external biasing in InN/Si.
Fig.10. Simulated electric field profile in absence of external biasing in AlGaN/Si.
The growth of InN on Si substrate presents large electric field comparison by the growth of
AlGaN on Si substrate.
International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013
24
Fig.11. InN/Si internal potential.
Fig.12. Al0.2Ga0.8N /Si internal potential.
Photons absorbed by the semiconductor detector, causing the passage of electrons from one state
to the valence band into a higher state of the conduction band. In the latter state, the electrons
become free. The photon thus creates an electron-hole pair. A potential difference is applied in
order to prevent the electrons from falling down in their most stable state. Under the effect of
electric field, both free charge carriers are separated and pushed into areas where they
predominate (called P or N). The free charge carriers generated are then collected as
photocurrent. We obtain a high value potential in the InN layer, of about 1.25 V.
International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013
25
Fig.13. Variation of current as a function of anode voltage of InN/Si.
Fig.14. Variation of current as a function of anode voltage of AlGaN/Si.
Fig.13 and Fig.14 displays the simulated I-V characteristics of the photo detectors at 300k in
reverse bias.
The current measured from AlGaN/Si photodetector -15V were smaller than those measured by
InN/Si photodetector -14.2V.
4. Conclusion
In this paper, we studied an AlGaN/Si and InN/Si photodetectors device. Modeling and
simulation were performed by using ATLAS-TCAD simulator. Energy band diagram, doping
profile, conduction current density, current as a function of anode voltage, potential, and electric
field were performed.
The results achieved in this simulation can be used to optimize existing ultraviolet detectors and
develop new detectors with good performance.
International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013
26
References
[1] S.J. Pearton, F. Ren, A.P. Zhang, K.P. Lee, Fabrication and performance of GaN electronic devices,
Materials Science and Engineering, R30 (2000) ,pp55-212
[2] Pierre Masri, “Silicon carbide and silicon carbide-based structures, the physics of epitaxy”, Surface
Science Reports 48 (2002), pp. 1–51.
[3] J. Li, M. Zhao,X.F. Wang, “High performance Schottky UVphotodetectors based on epitaxial AlGaN
thin film”, Physica B: Condensed Matter, Vol. 405, Issue 3, 1 February 2010, pp. 996–998.
[4] H.angerer, D.Brunner, F.Freundeuberg, O.Ambacher, M.Stutzmaner, R.Hôpler, T.Metzger, E. Born,
G.Dollinger, A.Bergmaier, S.Karsch, and H.J.Korner, Appl.Phys.Lett.71,1504 (1997).
[5] A.D.D. Dwivedi, A. Mittal, A. Agrawal, and P. Chakrabarti, “Analytical modeling and ATLAS
simulation of N+-InP/n0-In0.53Ga0.47As/p+-In0.53Ga0.47As p-i-n photodetector for optical fiber
communication”, Infrared Physics & Technology 53 (2010), pp. 236–245.
[6] ATLAS User’s Manual Version 5.10.0.R, SILVACO International, Santa Clara, CA 95054, 2005.
[7] Hadis Morkoc, Aldo Di Carlo, and Roberto Cingolani, “GaN-based modulation doped FETs and UV
detectors”, Solid-State Electronics 46 (2002), pp. 157–202.
Authors
Allam Zehor:
PhD Doctoral School in "RENEWABLE ENERGY" at University Belkaid
Tlemcen abou-beker

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Simulation of AlGaN/Si and InN/Si ELECTRIC –DEVICES

  • 1. International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013 17 Simulation of AlGaN/Si and InN/Si ELECTRIC –DEVICES Zehor Allam1 , Abdelkader Hamdoune2 , Chahrazed Boudaoud3 , Asmaa Amrani 4 ,Aicha Soufi5 ,Zakia Nakoul6 Unity of Research “Materials and Renewable Energies”, Faculty of Science, University of Abou-bekr Belkaid, PO Box 230, 13000, Tlemcen, ALGERIA zh1344@yahoo.fr ABSTRACT In this work, efficient solar-blind metal-semiconductor photodetectors grown on Si (111) by molecular beam epitaxy are reported. Growth details are described,the comparison enters the properties electric of InN/Si and AlGaN/Si photodectors with 0.2 µm of AlGaN and InN layers. Modeling and simulation were performed by using ATLAS-TCAD simulator. Energy band diagram, doping profile, conduction current density,I-V caracteristic , internal potential and electric field were performed. KEYWORDS AlGaN, InN, growth,UV photodetector. 1. Introduction Development of wide-band gap III-nitride semiconductors has been a subject of intense focus since the 1990s, the III-nitride semiconductor material system has been viewed as highly promising for semiconductor device applications at blue and ultraviolet (UV) wavelengths in much the same manner that its highly successful As-based and P-based counter parts have been exploited for infrared, red and yellow wavelengths. The family of III-V nitrides, AlN, GaN, InN and their alloys are the materials of band gap. Wurtizite structure of GaN, AlN and InN have direct bandgaps with ambient temperature of 3.4, 6.2 and 1, 9 eV, respectively (Fig. 1) and the cubic form of GaN and InN have direct gap, while AlN is indirect. Given the wide range of direct bandgaps available GaN allied with AIN and InN can extend over a continuous range of energies direct bandgap in the visible part of the spectrum into the UV wavelengths. So therefore the system nitride became interesting for optoelectronic applications such as light emitting diodes which call (LED), laser diodes (LDs), and sensors, which are widely used in the green wavelengths, blue or UV [1]. In modern technology, the needs for high quality materials represents a vital requirement. Here, basic research is very important in order to understand the growth mechanisms and consequently to improve materials quality by controlling growth conditions and also by investigating new routes to implement the capability of modern growth techniques [2]. Thanks to its wide direct bandgap AlGaN alloy has an excellent choice for optoelectronic devices in the Ultraviolet and visible part of the spectrum. Great attention has been received in recent years for the development of visible-blind ultraviolet photodetectors [3].
  • 2. International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013 18 Fig.1. The Band gap of the a- Phase hexagonal and Phase B cubic of InN, GaN, AlN and their alloys. 2. Simulation and Modeling The proposed structure of photodetectors is shown in Fig. 2 and Fig.3; it was simulated using ATHENA and ATLAS in SILVACO TCAD device simulation. Fig.2. Structures of InN/Si photodetector with 0.2µm of the InN.
  • 3. International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013 19 Fig.3. Structures of AlGaN/Si photodetector with of the 0.2µm AlGaN . ATHENA was employed to define the device structure in two dimensions (x-and y-axis). ATLAS was used to evaluate the characteristics of the photo-devices both with and without illumination. Since ATLAS does not contain all necessary properties of InN and AlGaN-based material, we had to calculate and enter the following parameters in the simulation software. The band gap energy of AlxGa1-xN ternary is given by equation (1), using Vegard Law, where b is the bowing parameter. 1( ) ( ) (1 ) ( ) (1 )g x g gxE Al Ga N x E AlN x E GaN b x x          (1) 1( ) 6.28 3.42(1 ) 1.3 (1 )g x xE Al Ga N x x x x        (2) We consider at 300K: Eg(InN)=1.9 eV, Eg(GaN) = 3.42 eV, Eg(AlN) = 6.28 eV, and b = 1.3eV [4]. For x = 0.2, we obtain Eg(Al0.2Ga0.8N) = 3.86 eV. The numerical simulation of photodetector has been carried out for non-degenerate semiconductor and parabolic shape of conduction band. The simulation involves solution of five decoupled equations using Newton’s iteration technique. The doping of various regions is shown in Fig.3, for all regions in the above simulation. In the simulation of dark current, associated with photodetector; Auger, SRH and optical (tape to tape) models were taken into account in calculating. The stated band-to-band (BTB) tunneling model has been considered in order to account for tunneling mechanism. The surface recombination process at the contacts and heterointerface has been taken into account in simulation. The quality of the interface has been characterized in terms of surface recombination velocity. The Fermi–Dirac statistic for parabolic shape of conduction band has been taken in all the calculations of carrier and doping densities. For the simulation of dark current associated with photodetector; the radiative recombination, SRH, Auger, and surface recombination rates are modeled as:
  • 4. International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013 20 2 ( )opt opt c c iR C pn n  (4) 2 exp exp i SRH t t i ipO nO pn n R E E n n p n kT kT                                (5) 2 22 2 ( ) ( )n pAuger i iR C n C np nn p pn    (6) 2 exp exp i surf eff efft t p i n i pn n R E E n n p n kT kT                                (7) Here is the capture rate of carriers; and Cn and Cp and Auger are coefficients for electrons and holes respectively. Here n and p are equilibrium electron and hole concentration, Et is energy level of trap, ni is intrinsic carrier concentration, and are SRH lifetime of electrons and holes respectively, and and are effective life times of electrons and holes respectively [5]. The simulation diagram of energy band using the Blaze, which is interfaced with ATLAS, is useful for 2-Dimension simulator III-V system and the II-VI materials devices with the band structure dependent on the position [6].BLAZE accounts for the effects of positional dependent band structure by modifications to the charge transport equations. The energy band diagram is illustrated by Fig.4 and Fig.5. Fig.4. Energy band diagram of InN/Si photodetector.
  • 5. International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013 21 Fig.5. Energy band diagram of AlGaN/Si photodetector. Fig.6. Net doping of Al0.2Ga0.8N/Si and InN/Si photodetectors. 3. Results and Discussions The simulated results were obtained by developing program in DECKBUILD window interfaced with ATLAS for two photodetectors, at 300 K. Instead of the graded doping, the numerical model assumes a uniform doping profile. Once the physical structure of photodetector is built in ATLAS, the properties of the material used in device must be defined. A minimum set of material properties data includes bandgap, dielectric constant, electron affinity, densities of conduction and valence band states, electron mobility, and hole mobility.
  • 6. International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013 22 Fig.7. Conduction current density of InN/Si photodetector. Fig.8. Conduction current density of AlGaN/Si photodetector. Density of current threshold of 28.093 KA.cm-2 in InN/Si photodetector is larger than the AlGaN/Si photodetector 4.621KA.cm-2 this difference of current of density because of the width of band of energy. The speed of electrons is influenced by the applied electric field has high saturation: in the case of weak electrical fields, the drift velocity in a semiconductor is proportional to the electric field with a proportionality constant given by mobility which is independent of electric field. In this case, at high-impurity doping, a decrease of the drift velocity is observed. Non-linear effects in mobility can be observed at large electric fields, and the velocity is independent of impurity doping for high doping for which a saturation of the velocity occurs [2]. The electric field is large because of the burden of the interface, allowing the accumulation of a high channel density and a strong confinement of the channel. In the AlGaN layer, the large
  • 7. International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013 23 electric field to compensate for the contribution of the space charge from the ionized donor. Consequently, it prevents the appearance of the parasitic channel that would otherwise form in the doped AlGaN layer [7]. Fig.9. Simulated electric field profile in absence of external biasing in InN/Si. Fig.10. Simulated electric field profile in absence of external biasing in AlGaN/Si. The growth of InN on Si substrate presents large electric field comparison by the growth of AlGaN on Si substrate.
  • 8. International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013 24 Fig.11. InN/Si internal potential. Fig.12. Al0.2Ga0.8N /Si internal potential. Photons absorbed by the semiconductor detector, causing the passage of electrons from one state to the valence band into a higher state of the conduction band. In the latter state, the electrons become free. The photon thus creates an electron-hole pair. A potential difference is applied in order to prevent the electrons from falling down in their most stable state. Under the effect of electric field, both free charge carriers are separated and pushed into areas where they predominate (called P or N). The free charge carriers generated are then collected as photocurrent. We obtain a high value potential in the InN layer, of about 1.25 V.
  • 9. International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013 25 Fig.13. Variation of current as a function of anode voltage of InN/Si. Fig.14. Variation of current as a function of anode voltage of AlGaN/Si. Fig.13 and Fig.14 displays the simulated I-V characteristics of the photo detectors at 300k in reverse bias. The current measured from AlGaN/Si photodetector -15V were smaller than those measured by InN/Si photodetector -14.2V. 4. Conclusion In this paper, we studied an AlGaN/Si and InN/Si photodetectors device. Modeling and simulation were performed by using ATLAS-TCAD simulator. Energy band diagram, doping profile, conduction current density, current as a function of anode voltage, potential, and electric field were performed. The results achieved in this simulation can be used to optimize existing ultraviolet detectors and develop new detectors with good performance.
  • 10. International Journal of Recent advances in Physics (IJRAP) Vol.2, No.2, May 2013 26 References [1] S.J. Pearton, F. Ren, A.P. Zhang, K.P. Lee, Fabrication and performance of GaN electronic devices, Materials Science and Engineering, R30 (2000) ,pp55-212 [2] Pierre Masri, “Silicon carbide and silicon carbide-based structures, the physics of epitaxy”, Surface Science Reports 48 (2002), pp. 1–51. [3] J. Li, M. Zhao,X.F. Wang, “High performance Schottky UVphotodetectors based on epitaxial AlGaN thin film”, Physica B: Condensed Matter, Vol. 405, Issue 3, 1 February 2010, pp. 996–998. [4] H.angerer, D.Brunner, F.Freundeuberg, O.Ambacher, M.Stutzmaner, R.Hôpler, T.Metzger, E. Born, G.Dollinger, A.Bergmaier, S.Karsch, and H.J.Korner, Appl.Phys.Lett.71,1504 (1997). [5] A.D.D. Dwivedi, A. Mittal, A. Agrawal, and P. Chakrabarti, “Analytical modeling and ATLAS simulation of N+-InP/n0-In0.53Ga0.47As/p+-In0.53Ga0.47As p-i-n photodetector for optical fiber communication”, Infrared Physics & Technology 53 (2010), pp. 236–245. [6] ATLAS User’s Manual Version 5.10.0.R, SILVACO International, Santa Clara, CA 95054, 2005. [7] Hadis Morkoc, Aldo Di Carlo, and Roberto Cingolani, “GaN-based modulation doped FETs and UV detectors”, Solid-State Electronics 46 (2002), pp. 157–202. Authors Allam Zehor: PhD Doctoral School in "RENEWABLE ENERGY" at University Belkaid Tlemcen abou-beker