Short Channel Threshold Voltage VLSI Calculator

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VLSI Material Optimization

Analog VLSI Design

✖Zero Body Bias Threshold Voltage is defined as the threshold voltage of the MOSFET when substrate is at zero potential.ⓘ Zero Body Bias Threshold Voltage [V_T0]			+10% -10%
✖Short Channel Threshold Voltage Reduction is defined as a reduction in threshold voltage of MOSFET due to short channel effect.ⓘ Short Channel Threshold Voltage Reduction [ΔV_T0]			+10% -10%

✖Short Channel Threshold Voltage is defined as the required gate voltage after reduction in dimensions of MOSFET by scaling.ⓘ Short Channel Threshold Voltage VLSI [V_{T0(short channel)}]

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Formula

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Short Channel Threshold Voltage VLSI

Formula

`"V"_{"T0(short channel)"} = "V"_{"T0"}-"ΔV"_{"T0"}`

Example

`"0.395V"="0.855V"-"0.46V"`

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Short Channel Threshold Voltage VLSI Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Channel Threshold Voltage = Zero Body Bias Threshold Voltage-Short Channel Threshold Voltage Reduction
V_{T0(short channel)} = V_T0-ΔV_T0
This formula uses 3 Variables

Variables Used

Short Channel Threshold Voltage - (Measured in Volt) - Short Channel Threshold Voltage is defined as the required gate voltage after reduction in dimensions of MOSFET by scaling.
Zero Body Bias Threshold Voltage - (Measured in Volt) - Zero Body Bias Threshold Voltage is defined as the threshold voltage of the MOSFET when substrate is at zero potential.
Short Channel Threshold Voltage Reduction - (Measured in Volt) - Short Channel Threshold Voltage Reduction is defined as a reduction in threshold voltage of MOSFET due to short channel effect.

STEP 1: Convert Input(s) to Base Unit

Zero Body Bias Threshold Voltage: 0.855 Volt --> 0.855 Volt No Conversion Required
Short Channel Threshold Voltage Reduction: 0.46 Volt --> 0.46 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_{T0(short channel)} = V_T0-ΔV_T0 --> 0.855-0.46

Evaluating ... ...

V_{T0(short channel)} = 0.395

STEP 3: Convert Result to Output's Unit

0.395 Volt --> No Conversion Required

FINAL ANSWER

0.395 Volt <-- Short Channel Threshold Voltage

(Calculation completed in 00.004 seconds)

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Credits

Created by Priyanka Patel

Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad

Priyanka Patel has created this Calculator and 25+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has verified this Calculator and 50+ more calculators!

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Go Bulk Depletion Region Charge Density = -(1-((Lateral Extent of Depletion Region with Source+Lateral Extent of Depletion Region with Drain)/(2*Channel Length)))*sqrt(2*[Charge-e]*[Permitivity-silicon]*[Permitivity-vacuum]*Acceptor Concentration*abs(2*Surface Potential))

Body Effect Coefficient

Go Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential)))

Junction Built-in Voltage VLSI

Go Junction Built-in Voltage = ([BoltZ]*Temperature/[Charge-e])*ln(Acceptor Concentration*Donor concentration/(Intrinsic Concentration)^2)

PN Junction Depletion Depth with Source VLSI

Go P-n Junction Depletion Depth with Source = sqrt((2*[Permitivity-silicon]*[Permitivity-vacuum]*Junction Built-in Voltage)/([Charge-e]*Acceptor Concentration))

Total Source Parasitic Capacitance

Go Source Parasitic Capacitance = (Capacitance between Junction of Body and Source*Area of Source Diffusion)+(Capacitance between Junction of Body and Side wall*Sidewall Perimeter of Source Diffusion)

Short Channel Saturation Current VLSI

Go Short Channel Saturation Current = Channel Width*Saturation Electron Drift Velocity*Oxide Capacitance per Unit Area*Saturation Drain Source Voltage

Junction Current

Go Junction Current = (Static Power/Base Collector Voltage)-(Sub Threshold Current+Contention Current+Gate Current)

Surface Potential

Go Surface Potential = 2*Source Body Potential Difference*ln(Acceptor Concentration/Intrinsic Concentration)

DIBL Coefficient

Go DIBL Coefficient = (Threshold Voltage DIBL-Threshold Voltage)/Drain to Source Potential

Threshold Voltage when Source is at Body Potential

Go Threshold Voltage DIBL = DIBL Coefficient*Drain to Source Potential+Threshold Voltage

Subthreshold Slope

Go Sub Threshold Slope = Source Body Potential Difference*DIBL Coefficient*ln(10)

Threshold Voltage

Go Threshold Voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance)

Gate Capacitance

Go Gate Capacitance = Channel Charge/(Gate to Channel Voltage-Threshold Voltage)

Channel Charge

Go Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage)

Gate Length using Gate Oxide Capacitance

Go Gate Length = Gate Capacitance/(Capacitance of Gate Oxide Layer*Gate Width)

Gate Oxide Capacitance

Go Capacitance of Gate Oxide Layer = Gate Capacitance/(Gate Width*Gate Length)

Oxide Capacitance after Full Scaling VLSI

Go Oxide Capacitance after Full Scaling = Oxide Capacitance per Unit Area*Scaling Factor

Critical Voltage

Go Critical Voltage = Critical Electric Field*Electric Field Across Channel Length

Gate Oxide Thickness after Full Scaling VLSI

Go Gate Oxide Thickness after Full Scaling = Gate Oxide Thickness/Scaling Factor

Intrinsic Gate Capacitance

Go MOS Gate Overlap Capacitance = MOS Gate Capacitance*Transition Width

Channel Length after Full Scaling VLSI

Go Channel Length after Full Scaling = Channel Length/Scaling Factor

Junction Depth after Full Scaling VLSI

Go Junction Depth after Full Scaling = Junction Depth/Scaling Factor

Channel Width after Full Scaling VLSI

Go Channel Width after Full Scaling = Channel Width/Scaling Factor

Mobility in Mosfet

Go Mobility in MOSFET = K Prime/Capacitance of Gate Oxide Layer

K-Prime

Go K Prime = Mobility in MOSFET*Capacitance of Gate Oxide Layer

Short Channel Threshold Voltage VLSI Formula

Short Channel Threshold Voltage = Zero Body Bias Threshold Voltage-Short Channel Threshold Voltage Reduction
V_{T0(short channel)} = V_T0-ΔV_T0

How does Short Channel Threshold Voltage reduction affect transistor performance?

The reduction in Short Channel Threshold Voltage is associated with increased susceptibility to short-channel effects, leading to challenges such as higher leakage currents, decreased on/off ratio, and compromised transistor performance. As the channel length decreases, designers must carefully manage these effects to ensure that the transistors operate reliably and meet the desired specifications in VLSI circuits.

How to Calculate Short Channel Threshold Voltage VLSI?

Short Channel Threshold Voltage VLSI calculator uses Short Channel Threshold Voltage = Zero Body Bias Threshold Voltage-Short Channel Threshold Voltage Reduction to calculate the Short Channel Threshold Voltage, The Short Channel Threshold Voltage VLSI formula is defined as the required gate voltage after reduction in dimensions of MOSFET by scaling. Short Channel Threshold Voltage is denoted by V_{T0(short channel)} symbol.

How to calculate Short Channel Threshold Voltage VLSI using this online calculator? To use this online calculator for Short Channel Threshold Voltage VLSI, enter Zero Body Bias Threshold Voltage (V_T0) & Short Channel Threshold Voltage Reduction (ΔV_T0) and hit the calculate button. Here is how the Short Channel Threshold Voltage VLSI calculation can be explained with given input values -> 0.395 = 0.855-0.46.

FAQ

What is Short Channel Threshold Voltage VLSI?

The Short Channel Threshold Voltage VLSI formula is defined as the required gate voltage after reduction in dimensions of MOSFET by scaling and is represented as V_{T0(short channel)} = V_T0-ΔV_T0 or Short Channel Threshold Voltage = Zero Body Bias Threshold Voltage-Short Channel Threshold Voltage Reduction. Zero Body Bias Threshold Voltage is defined as the threshold voltage of the MOSFET when substrate is at zero potential & Short Channel Threshold Voltage Reduction is defined as a reduction in threshold voltage of MOSFET due to short channel effect.

How to calculate Short Channel Threshold Voltage VLSI?

The Short Channel Threshold Voltage VLSI formula is defined as the required gate voltage after reduction in dimensions of MOSFET by scaling is calculated using Short Channel Threshold Voltage = Zero Body Bias Threshold Voltage-Short Channel Threshold Voltage Reduction. To calculate Short Channel Threshold Voltage VLSI, you need Zero Body Bias Threshold Voltage (V_T0) & Short Channel Threshold Voltage Reduction (ΔV_T0). With our tool, you need to enter the respective value for Zero Body Bias Threshold Voltage & Short Channel Threshold Voltage Reduction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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