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TELKOMNIKA, Vol. 16, No. 5, October 2018, pp.2233~2238
ISSN: 1693-6930, accredited First Grade by Kemenristekdikti, Decree No: 21/E/KPT/2018
DOI:10.12928/TELKOMNIKA.v16i5.9539  2233
Received April 9, 2018; Revised August 18, 2018; Accepted August 31, 2018
Novel Design of a Magnetically Switchable MOSFET
using Magnetoresistive Elements
Chinmay Vilas Samak, Tanmay Vilas Samak
B.Tech. First Year Student, Mechatronics Department, SRM Institute of Science & Technology,
Kattankulathur 603203 Kancheepuram Dt., Tamil Nadu, Ph: 044-27417777,
Fax: 044-27453903, India
*Corresponding author, e-mail: samakchinmayvilas@gmail.com
1
, samaktanmay@gmail.com
2
Abstract
Various research activities have been carried out, individually, in the fields of MOSFET design
andanalysis, and magnetoresistance; however, ourresearch focused on the design and analysis of a
magnetically switchable MOSFET with the application of magnetoresistive elements. Theoretical study,
calculations and simulations were used in order to design and analyze the magnetically switchable
MOSFET. It was observed that the magnetoresistance values of 42%, 81% and 95%, respectively, for
giant magnetoresistive element, tunneling magnetoresistive element and colossal magnetoresistive
element resulted in reduced resistance values of 139.2Ω, 45.6Ω and 12Ω across the MOSFET in presence
of magnetic field; as compared to a higher value of 240Ω in its absence. As a consequence, the gate-
source voltage increased beyond the threshold value (1.5V), and the MOSFET switched ON. Accordingly,
a magnetically switchable MOSFET was designed and its behavioural characteristics were analyzed.
Keywords: magnetoresistance, MOSFET, threshold voltage
Copyright © 2018 Universitas Ahmad Dahlan. All rights reserved.
1. Introduction
Magnetoresistance (MR) is the property of a material to change its electrical
resistance in accordance with an external magnetic field. Ordinary Magnetoresistance
(OMR) [1] is exhibited by bulk materials (non-magnetic metals and semiconductor materials),
since the conduction electrons are forced to move in helical trajectories due to Lorentz
Forceexerted by the applied magnetic field; but its value is very small (~5%) and is therefore not
suitable for any practical applications.
Another class of magnetoresistance called Anisotropic Magnetoresistance (AMR) [2],
discovered by W. Thomson [3] in 1856, is exhibited by ferromagnetic metals and alloys, and is
dependent upon the relative direction of electric current and applied magnetic field; however, its
value also is small (2% to 5%). Nonetheless, research and technological advancements have
made it possible to synthesize multicomponent or multilayer materials with higher
magnetoresistance. These include Giant Magnetoresistance (GMR) [4, 5], Tunneling
Magnetoresistance (TMR) [6] and Colossal Magnetoresistance (CMR) [7, 8]. Magnetoresistance
can be expressed as [9],
(1)
where, is the magnetoresistance in %, is the resistance offered by the MR element in
saturation magnetic field ( ) and is the resistance offered by the same MR element at
.
MOSFETs [10] are unipolar devices with high input impedance, low output impedance
and their switching can be controlled by the applied electric field. The best property of
MOSFETs (unlike that of JFETs) is that these can be operated not only in depletion mode
(normally ON state), but also in enhancement mode (normally OFF state) and hence find
applications in switching digital systems.
Our research addresses the problem of designing and analysing a magnetically
switchable MOSFET which will prove to be useful in the development of magneto-electronic
 ISSN: 1693-6930
TELKOMNIKA Vol. 16, No. 5, October 2018: 2233-2238
2234
devicesand sensors in the future, controlling electromagnetic actuators in robotic and
mechatronic systems, etc.
This research, therefore proposes to control the electric field applied across n-channel
e-MOSFETs using the magnetoresistance phenomenon (the same concept can be extrapolated
to p-channel e-MOSFETs as well); and proposes the use of GMR, TMR and CMR elements for
the purpose of designing a magnetically switchable MOSFET.
Various research activities and advancements have been made, individually, in the
fields of MOSFET design, its analysis andapplications, and magnetoresistance; however, our
research focuses on the fusion of both, MOSFET design and magnetoresistance, in order to
design a magnetically switchable MOSFET and analyse its behaviour.
2. Proposed Method
As shown in Figure 1, the input gate voltage is responsible for the generation of
electric charges on the metal (Al) contact at the gate. This further induces equal and opposite
charges on the substrate side due to the MOS capacitor system. Upto a certain threshold gate
voltage, [11] (determined from the transfer characteristics of the MOSFET), the induced
charges counter the oppositely charged dopant ions present in the substrate, thereby forming a
depletion layer. Further increasing the gate voltage leads to the formation of an inversion layer
in the substrate region and thus, a drain current flows through the induced channel from drain
to source.
Figure 1. n-Channel e-MOSFET Structure
Consider two resistors and connected at the gate terminal of the MOSFET
as shown in the Figure 2. The potential drop across is responsible for a reduced voltage
across , which is also the effective gate-source voltage .
According to voltage division rule,
( ) (2)
If appropriate values of and are chosen such that , the MOSFETwill act as an
open switch (OFF state); else, if , the MOSFET will act as a closed switch (ON state).
The switching of an n-channel e-MOSFET has been summarized in Table 1.
TELKOMNIKA ISSN: 1693-6930 
Novel Design of a Magnetically Switchable MOSFET using … (Chinmay Vilas Samak)
2235
Figure 2. Switching Circuit
Table 1. n-Channel e-MOSFET Switching Table
VGS≥ VTH VGS< VTH
ON OFF
Now if we fix the value of and replace the resistor with a magnetoresistive element, we
will be able to vary using an external magnetic field; and thus, be able to control switching of
the MOSFET. Accordingly, a magnetically switchable MOSFET shall be formed.
3. Research Method
For the purpose of designing and simulating a magnetically switchable MOSFET, the
input voltage was fixed at 5.0V and was fixed at 100Ω. The threshold voltage, was
taken to be 1.5V. The value of was calculated using equation 2 (by replacing with ),
such that the MOSFET remained in OFF state.
( )
( )
The nearest standard value of , i.e. 240 Ω, was considered for calculations.
The values of magnetoresistance for GMR, TMR and CMR elements were used to study the
switching characteristics of the MOSFET. For this purpose, MR values at room temperature
(300 K) were taken as follows: GMR=42% [12], TMR=81% [13] and CMR=95% [14].
The resistance offered by different MR elements in a saturation magnetic field was calculated
using equation 1, as follows:
( )
( )
( )
The magnitudes of corresponding to GMR, TMR and CMR were calculated, and
used to study the behavioural characteristics of the magnetically switchable MOSFET. After
confirming the simulation results, a simple design of magnetically switchable MOSFET, which
can be manufactured using existing technology without much alterations in production
techniques, was proposed.
 ISSN: 1693-6930
TELKOMNIKA Vol. 16, No. 5, October 2018: 2233-2238
2236
4. Results and Discussion
The simulation results confirmed the expected behaviour of the magnetically switchable
MOSFET. It was seen that as the magnetoresistance value increased, so did the gate-source
voltage and consequently, the drain current also went on increasing thereby switching the
MOSFET from OFF state to ON state in presence of magnetic field. This can be inferred from
the drain characteristics of the magnetically switchable MOSFET as shown in Figure 3.
Figure 3. Drain characteristics of MOSFET with GMR, TMR and CMR elements
When analyzed the variation of the gate-source voltage with respect to the
magnetoresistance value ass hwon in Figure 4, it not only indicated that increased for a
higher MR value but also pinpointed a more important aspect of the magnetically switchable
MOSFET.
Figure 4. Dependence of MOSFET switching on magnetoresistance value and threshold voltage
of the MOSFET
Since the threshold voltage of the MOSFET used for simulation was 1.5V, it switched
ON successfully in case of all the three MR elements. However, if the threshold value was to be
considerably above 2.09V ( of MOSFET with GMR element), the MOSFET would not switch
ON in case of GMR element; and if it was to be considerably above 3.43V ( of MOSFET with
TMR element), the MOSFET would switch ON only in case of CMR element (refer to Table 2).
VTH = 1.5V
TELKOMNIKA ISSN: 1693-6930 
Novel Design of a Magnetically Switchable MOSFET using … (Chinmay Vilas Samak)
2237
Table 2. Dependence of MOSFET Switching on MR Value and Threshold Voltage
Threshold Voltage ( ) MOSFET Switching
State
GMR TMR CMR
< 2.09V ON ON ON
3.43V > > 2.09V OFF ON ON
4.46V > > 3.43V OFF OFF ON
> 4.46V OFF OFF OFF
Simulation also indicated that the input resistance is inversely proportional to the
magnetoresistance value of the MR element as shown in Figure 5, which is in accordance with
equation 1. As shown in Figure 6, the drain current showed a significant increase in its
magnitude from GMR element (least MR value) to CMR element (highest MR value). This can
also be inferred from the drain characteristics of the MOSFET as shown in Figure 3.
Figure 5. Comparison between magnitude of input resistance Rin and the magnetoresistance
Figure 6. Variation of ID with respect to the magnetoresistance ratio
The design of a magnetically switchable n-channel e-MOSFET was proposed by
internally connecting a magnetoresistive element ‘ ’ at the gateand a variable resistor‘ ’
across the gate and sourceof the MOSFET package as shown in Figure 7. Note that the
variation terminal (screw, or similar) of the variable resistor is to be brought outside the package
for its convenient variation. Also note that a fixed resistor may be used but, will require the input
parameters of the MOSFET (like , , etc.) to be restricted.
 ISSN: 1693-6930
TELKOMNIKA Vol. 16, No. 5, October 2018: 2233-2238
2238
Figure 7. Proposed Design of a Magnetically Switchable n-channel e-MOSFET
5. Conclusion
Thus, a magnetically switchable MOSFET was designed with the application of
magnetoresistive elements. Analysis showed that in absence of an external magnetic field
( ), the resistance of MR elements was high (240Ω). However, in the presence of
external magnetic field ( ), the resistance was reduced to 139.2Ω, 45.6Ω and 12.0Ω,
respectively for GMR, TMR and CMR elements. This resulted in greater value of (such
that ), which switched ON the MOSFET.The magnetic switching of MOSFET is
summarized in Table 3. It was also concluded that the switching of such a MOSFET will not only
depend upon its threshold voltage, but also on the magnetoresistance of the MR element.
Table 3. Magnetic Switching of MOSFET
Magnetic
Field ( )
Switching State
OFF
ON
References
[1] Thiruvadigal JD, Ponnusamy S, Sudha D, Krishnamohan M. Materials Science. Chennai: SSS
Publication. 2015: 2.19-2.22.
[2] Mc Guire T, Potter R. Anisotropic Magnetoresistance in Ferromagnetic 3d Alloys. IEEE Transactions
on Magnetics. 1975; 11(4): 1018-1038.
[3] Thomson W. On the Electro-Dynamic Qualities of Metals: Effects of Magnetization on the Electric
Conductivity of Nickel and of Iron. Proceedings of the Royal Society of London. 1857; 8: 546-550.
Class for Physics. The Discovery of Giant Magnetoresistance. The Royal Swedish Academy of
Sciences. 2007.
[4] Chang L et al. A brief introduction to giant magnetoresistance.Hycorelle Co., Ltd., Beijing, China.
2014.
[5] Mathon, J.Theory of Tunneling Magnetoresistance. Phase Transitions. 2003; 76(4-5): 491-500.
[6] Ramirez AP. Colossal magnetoresistance.Journal of Physics: Condensed Matter. 1997; 9(39): 8171.
[7] Shirato N. Colossal Magnetoresistance.Department of Materials Science and Engineering, University
of Tennessee, Knoxville. 2010.
[8] Gljs MAM, Giesbers JB. Magneto-Resistancedevice and Magnetic Head Comprising Such a Device.
US005527626A (Patent). 1996.
[9] Tandjaoui MN, Benachaiba C, Abdelkhalek O, Denai B, Mouloudi Y. Characterization and Modeling
of Power Electronics Device. International Journal of Power Electronics and Drive System (IJPEDS).
2014; 5(2): 135-141.
[10] Zabeli M, Caka N, Limani M, Kabashi Q. The threshold voltage of MOSFET and its influence on
digital circuits. Recent Advances in Systems, Communications & Computers, Selected Papers from
the WSEAS Conferences in Hangzhou, China, April 6-8, 2008.
[11] Baibich MN et al. Giant Magnetoresistance of (001) Fe/(001) Cr Magnetic Superlattices. Physical
Review Letters. 1998; 61: 2472-2475.
[12] Wei HX, Qin QH, Ma M, Sharif R, Han XF. 80% Tunneling Magnetoresistance at Room Temperature
for Thin Al–O Barrier Magnetic Tunnel Junction with CoFeB as Free and Reference Layers. Journal
of Applied Physics. 2007; 101(9): 09B501-09B501-3.
[13] Nickel J. Magnetoresistance Overview. Hewlett-Packard Company. Report Number: HPL-95-60.
1995.

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Novel Design of a Magnetically Switchable MOSFET using Magnetoresistive Elements

  • 1. TELKOMNIKA, Vol. 16, No. 5, October 2018, pp.2233~2238 ISSN: 1693-6930, accredited First Grade by Kemenristekdikti, Decree No: 21/E/KPT/2018 DOI:10.12928/TELKOMNIKA.v16i5.9539  2233 Received April 9, 2018; Revised August 18, 2018; Accepted August 31, 2018 Novel Design of a Magnetically Switchable MOSFET using Magnetoresistive Elements Chinmay Vilas Samak, Tanmay Vilas Samak B.Tech. First Year Student, Mechatronics Department, SRM Institute of Science & Technology, Kattankulathur 603203 Kancheepuram Dt., Tamil Nadu, Ph: 044-27417777, Fax: 044-27453903, India *Corresponding author, e-mail: samakchinmayvilas@gmail.com 1 , samaktanmay@gmail.com 2 Abstract Various research activities have been carried out, individually, in the fields of MOSFET design andanalysis, and magnetoresistance; however, ourresearch focused on the design and analysis of a magnetically switchable MOSFET with the application of magnetoresistive elements. Theoretical study, calculations and simulations were used in order to design and analyze the magnetically switchable MOSFET. It was observed that the magnetoresistance values of 42%, 81% and 95%, respectively, for giant magnetoresistive element, tunneling magnetoresistive element and colossal magnetoresistive element resulted in reduced resistance values of 139.2Ω, 45.6Ω and 12Ω across the MOSFET in presence of magnetic field; as compared to a higher value of 240Ω in its absence. As a consequence, the gate- source voltage increased beyond the threshold value (1.5V), and the MOSFET switched ON. Accordingly, a magnetically switchable MOSFET was designed and its behavioural characteristics were analyzed. Keywords: magnetoresistance, MOSFET, threshold voltage Copyright © 2018 Universitas Ahmad Dahlan. All rights reserved. 1. Introduction Magnetoresistance (MR) is the property of a material to change its electrical resistance in accordance with an external magnetic field. Ordinary Magnetoresistance (OMR) [1] is exhibited by bulk materials (non-magnetic metals and semiconductor materials), since the conduction electrons are forced to move in helical trajectories due to Lorentz Forceexerted by the applied magnetic field; but its value is very small (~5%) and is therefore not suitable for any practical applications. Another class of magnetoresistance called Anisotropic Magnetoresistance (AMR) [2], discovered by W. Thomson [3] in 1856, is exhibited by ferromagnetic metals and alloys, and is dependent upon the relative direction of electric current and applied magnetic field; however, its value also is small (2% to 5%). Nonetheless, research and technological advancements have made it possible to synthesize multicomponent or multilayer materials with higher magnetoresistance. These include Giant Magnetoresistance (GMR) [4, 5], Tunneling Magnetoresistance (TMR) [6] and Colossal Magnetoresistance (CMR) [7, 8]. Magnetoresistance can be expressed as [9], (1) where, is the magnetoresistance in %, is the resistance offered by the MR element in saturation magnetic field ( ) and is the resistance offered by the same MR element at . MOSFETs [10] are unipolar devices with high input impedance, low output impedance and their switching can be controlled by the applied electric field. The best property of MOSFETs (unlike that of JFETs) is that these can be operated not only in depletion mode (normally ON state), but also in enhancement mode (normally OFF state) and hence find applications in switching digital systems. Our research addresses the problem of designing and analysing a magnetically switchable MOSFET which will prove to be useful in the development of magneto-electronic
  • 2.  ISSN: 1693-6930 TELKOMNIKA Vol. 16, No. 5, October 2018: 2233-2238 2234 devicesand sensors in the future, controlling electromagnetic actuators in robotic and mechatronic systems, etc. This research, therefore proposes to control the electric field applied across n-channel e-MOSFETs using the magnetoresistance phenomenon (the same concept can be extrapolated to p-channel e-MOSFETs as well); and proposes the use of GMR, TMR and CMR elements for the purpose of designing a magnetically switchable MOSFET. Various research activities and advancements have been made, individually, in the fields of MOSFET design, its analysis andapplications, and magnetoresistance; however, our research focuses on the fusion of both, MOSFET design and magnetoresistance, in order to design a magnetically switchable MOSFET and analyse its behaviour. 2. Proposed Method As shown in Figure 1, the input gate voltage is responsible for the generation of electric charges on the metal (Al) contact at the gate. This further induces equal and opposite charges on the substrate side due to the MOS capacitor system. Upto a certain threshold gate voltage, [11] (determined from the transfer characteristics of the MOSFET), the induced charges counter the oppositely charged dopant ions present in the substrate, thereby forming a depletion layer. Further increasing the gate voltage leads to the formation of an inversion layer in the substrate region and thus, a drain current flows through the induced channel from drain to source. Figure 1. n-Channel e-MOSFET Structure Consider two resistors and connected at the gate terminal of the MOSFET as shown in the Figure 2. The potential drop across is responsible for a reduced voltage across , which is also the effective gate-source voltage . According to voltage division rule, ( ) (2) If appropriate values of and are chosen such that , the MOSFETwill act as an open switch (OFF state); else, if , the MOSFET will act as a closed switch (ON state). The switching of an n-channel e-MOSFET has been summarized in Table 1.
  • 3. TELKOMNIKA ISSN: 1693-6930  Novel Design of a Magnetically Switchable MOSFET using … (Chinmay Vilas Samak) 2235 Figure 2. Switching Circuit Table 1. n-Channel e-MOSFET Switching Table VGS≥ VTH VGS< VTH ON OFF Now if we fix the value of and replace the resistor with a magnetoresistive element, we will be able to vary using an external magnetic field; and thus, be able to control switching of the MOSFET. Accordingly, a magnetically switchable MOSFET shall be formed. 3. Research Method For the purpose of designing and simulating a magnetically switchable MOSFET, the input voltage was fixed at 5.0V and was fixed at 100Ω. The threshold voltage, was taken to be 1.5V. The value of was calculated using equation 2 (by replacing with ), such that the MOSFET remained in OFF state. ( ) ( ) The nearest standard value of , i.e. 240 Ω, was considered for calculations. The values of magnetoresistance for GMR, TMR and CMR elements were used to study the switching characteristics of the MOSFET. For this purpose, MR values at room temperature (300 K) were taken as follows: GMR=42% [12], TMR=81% [13] and CMR=95% [14]. The resistance offered by different MR elements in a saturation magnetic field was calculated using equation 1, as follows: ( ) ( ) ( ) The magnitudes of corresponding to GMR, TMR and CMR were calculated, and used to study the behavioural characteristics of the magnetically switchable MOSFET. After confirming the simulation results, a simple design of magnetically switchable MOSFET, which can be manufactured using existing technology without much alterations in production techniques, was proposed.
  • 4.  ISSN: 1693-6930 TELKOMNIKA Vol. 16, No. 5, October 2018: 2233-2238 2236 4. Results and Discussion The simulation results confirmed the expected behaviour of the magnetically switchable MOSFET. It was seen that as the magnetoresistance value increased, so did the gate-source voltage and consequently, the drain current also went on increasing thereby switching the MOSFET from OFF state to ON state in presence of magnetic field. This can be inferred from the drain characteristics of the magnetically switchable MOSFET as shown in Figure 3. Figure 3. Drain characteristics of MOSFET with GMR, TMR and CMR elements When analyzed the variation of the gate-source voltage with respect to the magnetoresistance value ass hwon in Figure 4, it not only indicated that increased for a higher MR value but also pinpointed a more important aspect of the magnetically switchable MOSFET. Figure 4. Dependence of MOSFET switching on magnetoresistance value and threshold voltage of the MOSFET Since the threshold voltage of the MOSFET used for simulation was 1.5V, it switched ON successfully in case of all the three MR elements. However, if the threshold value was to be considerably above 2.09V ( of MOSFET with GMR element), the MOSFET would not switch ON in case of GMR element; and if it was to be considerably above 3.43V ( of MOSFET with TMR element), the MOSFET would switch ON only in case of CMR element (refer to Table 2). VTH = 1.5V
  • 5. TELKOMNIKA ISSN: 1693-6930  Novel Design of a Magnetically Switchable MOSFET using … (Chinmay Vilas Samak) 2237 Table 2. Dependence of MOSFET Switching on MR Value and Threshold Voltage Threshold Voltage ( ) MOSFET Switching State GMR TMR CMR < 2.09V ON ON ON 3.43V > > 2.09V OFF ON ON 4.46V > > 3.43V OFF OFF ON > 4.46V OFF OFF OFF Simulation also indicated that the input resistance is inversely proportional to the magnetoresistance value of the MR element as shown in Figure 5, which is in accordance with equation 1. As shown in Figure 6, the drain current showed a significant increase in its magnitude from GMR element (least MR value) to CMR element (highest MR value). This can also be inferred from the drain characteristics of the MOSFET as shown in Figure 3. Figure 5. Comparison between magnitude of input resistance Rin and the magnetoresistance Figure 6. Variation of ID with respect to the magnetoresistance ratio The design of a magnetically switchable n-channel e-MOSFET was proposed by internally connecting a magnetoresistive element ‘ ’ at the gateand a variable resistor‘ ’ across the gate and sourceof the MOSFET package as shown in Figure 7. Note that the variation terminal (screw, or similar) of the variable resistor is to be brought outside the package for its convenient variation. Also note that a fixed resistor may be used but, will require the input parameters of the MOSFET (like , , etc.) to be restricted.
  • 6.  ISSN: 1693-6930 TELKOMNIKA Vol. 16, No. 5, October 2018: 2233-2238 2238 Figure 7. Proposed Design of a Magnetically Switchable n-channel e-MOSFET 5. Conclusion Thus, a magnetically switchable MOSFET was designed with the application of magnetoresistive elements. Analysis showed that in absence of an external magnetic field ( ), the resistance of MR elements was high (240Ω). However, in the presence of external magnetic field ( ), the resistance was reduced to 139.2Ω, 45.6Ω and 12.0Ω, respectively for GMR, TMR and CMR elements. This resulted in greater value of (such that ), which switched ON the MOSFET.The magnetic switching of MOSFET is summarized in Table 3. It was also concluded that the switching of such a MOSFET will not only depend upon its threshold voltage, but also on the magnetoresistance of the MR element. Table 3. Magnetic Switching of MOSFET Magnetic Field ( ) Switching State OFF ON References [1] Thiruvadigal JD, Ponnusamy S, Sudha D, Krishnamohan M. Materials Science. Chennai: SSS Publication. 2015: 2.19-2.22. [2] Mc Guire T, Potter R. Anisotropic Magnetoresistance in Ferromagnetic 3d Alloys. IEEE Transactions on Magnetics. 1975; 11(4): 1018-1038. [3] Thomson W. On the Electro-Dynamic Qualities of Metals: Effects of Magnetization on the Electric Conductivity of Nickel and of Iron. Proceedings of the Royal Society of London. 1857; 8: 546-550. Class for Physics. The Discovery of Giant Magnetoresistance. The Royal Swedish Academy of Sciences. 2007. [4] Chang L et al. A brief introduction to giant magnetoresistance.Hycorelle Co., Ltd., Beijing, China. 2014. [5] Mathon, J.Theory of Tunneling Magnetoresistance. Phase Transitions. 2003; 76(4-5): 491-500. [6] Ramirez AP. Colossal magnetoresistance.Journal of Physics: Condensed Matter. 1997; 9(39): 8171. [7] Shirato N. Colossal Magnetoresistance.Department of Materials Science and Engineering, University of Tennessee, Knoxville. 2010. [8] Gljs MAM, Giesbers JB. Magneto-Resistancedevice and Magnetic Head Comprising Such a Device. US005527626A (Patent). 1996. [9] Tandjaoui MN, Benachaiba C, Abdelkhalek O, Denai B, Mouloudi Y. Characterization and Modeling of Power Electronics Device. International Journal of Power Electronics and Drive System (IJPEDS). 2014; 5(2): 135-141. [10] Zabeli M, Caka N, Limani M, Kabashi Q. The threshold voltage of MOSFET and its influence on digital circuits. Recent Advances in Systems, Communications & Computers, Selected Papers from the WSEAS Conferences in Hangzhou, China, April 6-8, 2008. [11] Baibich MN et al. Giant Magnetoresistance of (001) Fe/(001) Cr Magnetic Superlattices. Physical Review Letters. 1998; 61: 2472-2475. [12] Wei HX, Qin QH, Ma M, Sharif R, Han XF. 80% Tunneling Magnetoresistance at Room Temperature for Thin Al–O Barrier Magnetic Tunnel Junction with CoFeB as Free and Reference Layers. Journal of Applied Physics. 2007; 101(9): 09B501-09B501-3. [13] Nickel J. Magnetoresistance Overview. Hewlett-Packard Company. Report Number: HPL-95-60. 1995.