Modeling of MOSFET with Different Materials Apurva Choubey, Rajesh Nema Abstract This paper provides the designing of mosfet with different materials and compare which material is better for the designing. In previous time the mosfet is design by the combination of silicon and silicon oxide now we are using gallium arsenide and silicon dioxide as one combination and gallium arsenide and silicon nitride as another combination. Index Terms Mosfet circuit, gallium arsenide, silicon nitride,high k, silicon dioxide I. INTRODUCTION The compound gallium arsenide was first discovered in 1926. However, its application as a high speed semiconductor was not known until the 1960 s. Both Gallium Arsenide and Silicon need the same lithographic process. Some of the advantages in using Gallium Arsenide when compared to Silicon are The high speed electron mobility of gallium arsenide with respect to silicon. A semi-insulating substrate with consequent lower parasitics. An improvement factor of 1.4 for carrier saturation velocity of GaAs over silicon. Better opto-electrical properties ess power dissipation than silicon and radiation hardness From a comparison of various physical and electronic properties of GaAs with those of Si the advantages of GaAs over Si can be readily ascertained. Unfortunately, the many desirable properties of gallium arsenide are offset to a great extent by a number of undesirable properties, which have limited the applications of GaAs based devices to date.properties of Si and GaAs. Manuscript received April 05, 2013. Apurva Choubey,M.Tech Scholar, NRI-Institute of Information Science & Technology, E.C.E Dept., Bhopal (M.P.), India Rajesh Nema, Asst. Prof. NRI-Institute of Information Science & Technology, E.C.E Dept., Bhopal (M.P.), India. Properties Si GaAs Dielectric Constant Intrinsic carrier conc. (cm -3 ) Intrinsic Debye ength(microns) 11.9 13.1 1.45 x 10 10 1.79 x 10 6 24 Mobility 1500 8500 (cm 2 /V.s),electrons Mobility 475 400 (cm 2 /V.s),hole Band gap (ev) at 1.12 1.424 300 K Intrinsic resistivity 2.3 x 10 5 10 8 (ohm.cm) Formula weight 28.09 144.63 Crystal structure diamond zinc blende attice constant 5.43095 5.6532 Melting point ( C) 1415 1238 Density (g/cm 3 ) 2.328 5.32 Thermal conductivity (/cm.k) 1.5 0.46 II. MATHEMATICA ANAYSIS If you are using ord, use either the Microsoft Equation Editor or the MathType add-on (http://www.mathtype.com) for equations in your paper (Insert Object Create New Microsoft Equation or MathType Equation). Float over text should not be selected. 2.1 For Germenium and silicon dioxide The gain factor of MOS transistor beta is given by β n = με.. (1) 6
here μ is the effective surface mobility of the carriers in the channel,ε is the permittivity of the gate insulator, is the thickness of the gate insulator, w is the width of the channel, and is the length of the channel. = Assume = 200Å μ p ε Ge ε o (4) 1900 16 8.85 10 14 1.726 10 7 8.85 10 14 ( ) 5.247 10 3 8.85 10 14 = =1.726 10 7 Farads/cm 2 Put the value of in equation (2) β n = μ n ε Ge ε o (2) β n = 3900 16 8.85 10 14 1.726 10 7 8.85 10 14 ( ) β n = 0.0107 β n = 2.7616 10 3 β n = 2761.6. (3) ength of Germenium = microns 1.3453 x10-3 1345.3..(5) put the value of β p and length in equation (5) 1345.3 50 1345.3 =0.025 2.2 For Gallium Arsenide and silicon dioxide β n = μ n ε GaAs ε o (6) Put the value of β n and length in equation (3) β n = 2761.6 x 200 = 2761.6 x = 0.049 β n = 8500 13.1 8.85 10 14 1.726 10 7 8.85 10 14 ( ) β n = 0.0192 β n = 4.927 10 3 β n = 4927. (7) ength of Gallium Arsenide = microns 7
Put the value of β n and length in equation (7) β n =4927.9 x 200 =4927.9 x = 91.3 μ p ε GaAs ε o 400 13.1 8.85 10 14 1.726 10 7 7.5 8.85 10 14 ( ) 9.044 10 4 2.319 x10-4 231.9..(8) put the value of β p and length in equation (8) 231.9 50 231.9 = 485.1 2.3 For Gallium Arsenide and silicon Nitride = Assume = 200Å 7.5 8.85 10 14 = =3.31 10 7 Farads/cm 2 Put the value of in equation (9) β n = μ n ε GaAs ε o (9) β n = 8500 13.1 8.85 10 14 3.31 10 7 7.5 8.85 10 14 ( ) β n = 0036 7.5 β n = 4.927 10 3 β n = 4927. (10) ength of Gallium Arsenide = microns Put the value of β n and length in equation (10) β n =4927 x 200 =4927 x = 91.3 μ p ε GaAs ε o 400 13.1 8.85 10 14 3.31 10 7 7.5 8.85 10 14 ( ) 1.734 10 3 7.5 8
2.312 x10-4 ISSN 2249-6343 231.2..(11) put the value of β p and length in equation (11) Put the value of β n and length in equation (13) β n =4927.2 x 200 =4927.2 x 231.2 x 50 =231.2 x = 486.5 = 91.3 2.4 For Gallium Arsenide and Titanium oxide = Assume = 200Å μ p ε GaAs ε o 400 13.1 8.85 10 14 1.77 10 6 40 8.85 10 14 ( ) 9.2748 10 3 40 40 8.85 10 14 = =1.77 10 6 Farads/cm 2 2.3187 x10-4 Put the value of in equation (12) 231.8..(14) β n = μ n ε GaAs ε o (12) β n = 8500 13.1 8.85 10 14 1.77 10 6 40 8.85 10 14 ( ) β n = 0.1970 40 β n = 4.927 10 3 β n = 4927.2. (13) ength of Gallium Arsenide = microns put the value of β p and length in equation (8) 231.8 50 231.8 = 485.3 2.5 For Gallium Arsenide and Aluminum oxide = 9
Assume = 200Å 2.317 x10-4 9 8.85 10 14 = 231.7..(17) =825 10 7 Farads/cm 2 Put the value of in equation (15) β n = μ n ε GaAs ε o (15) β n = 8500 13.1 8.85 10 14 8 10 7 9 8.85 10 14 ( ) β n = 0.0443 9 β n = 4.924 10 3 β n = 4924. (16) ength of Gallium Arsenide = microns Put the value of β n and length in equation (16) β n =4924 x 200 =4924 x = 91.3 μ p ε GaAs ε o 400 13.1 8.85 10 14 8 10 7 9 8.85 10 14 ( ) 2.08553 9 put the value of β p and length in equation (17) 231.7 50 231.7 = 485.5 Similarly for different materials the value of N-devices and P-devices are 2.6 FOR GaAs and Ta 2 O 5 = 91.3 = 485.5 2.7 FOR Ge and HfO 2 = 0.049 = 0.025 2.8 FOR GaAs and aalo 3 = 91.3 = 485.3 10
III. CONCUSION CMOS technology has seen an excellent high speed performance achieved through improved design, use of high quality materials and processing innovations over the past decade. Silicon dioxide gate dielectric is replaced with various high-k dielectric materials. The choice of the high-k dielectric and the knowledge of its physical properties helps in changing the various characteristics of the oxide layer in respect to power, current and the layout area covered. The study of the properties of these material was used in modeling the tri-state inverter and its various parameters were tabulated. The modeled inverter with high-k dielectric as gate dielectric material can be used for high gain and for low power applications in various electronic fields. REFERENCES [1] D Nirmal,P Vijay Kumar, Nanoscale Tri Gate MOSFET for Ultra ow power applications Using High-K Dielectrics Nanoelectronics Conference (INEC),2013 IEEE 5 th International. [2]. D Nirmal,P Vijay Kumar, Nanoscale Channel Engineered Double Gate MOSFET for Mixed Region International Journal of Circuit Theory and Application, 10 Mar 2012 [3]. J.Conde,A. Cerdeira et al, 3D Simulation of Triple Gate MOSFET with Different Mobility Region Microelectronics engineering Vol 88, Issue 7,pp.1633-163,July 2011 [4] Kumar, M.P Gupta,S.K Paul, Corner effects in SOI tri gate FinFET structure by using 3D process and device simulation Computer Science and Information Technology (ICCSIT), 2010 11