EECS 312 Discussion 3

09/20

Shengshuo Lu

(luss@umich.edu)

Overview

• Reminder

– HW 1: Due Sep 24

• Diode

• Transistors

Diode

G

S D

Diode

Diode

Built-in Potential Depletion Region Width

Diode Current

Diffusion capacitance

NMOS

G

S D

Threshold Voltage

• 0 < VGS < VT

– Repel mobile holes and accumulation of electron beneath the gate oxide

• VGS > VT

– Surface is as strongly n-type as the substrate is p-type

VGS VT

Ron

S D

Operation Regions – Linear (lab 2)

1. VGS > VT

2. VGS – VT > VDS

3. Linear contribution of VGT to ID

4.

In case of a P-type MOSFET, the inequalities used above should be directed opposite

Operation Regions – Saturation (lab 2)

1. VGS > VT

2. VGS – VT ≤ VDS

3. Quadratic contribution of VGTto ID

4. channel-length modulation parameter

In case of a P-type MOSFET, the inequalities used above should be directed opposite

Operation Regions – Velocity Saturated

Linear Dependence

-4

V DS (V) 0 0.5 1 1.5 2 2.5

0

0.5

1

1.5

2

2.5 x 10

I D (A

)

VGS= 2.5 V

VGS= 2.0 V

VGS= 1.5 V

VGS= 1.0 V

Early Saturation

Strong electric field causes carrier mobility degradation : Compared to feature scaling, voltage scaling is lagging behind

Short Channel Effects

A unified model

1. If VDS is minimum: Linear region

2. If VGT is minimum: Saturation Region 3. If VDSAT is minimum : Velocity saturated region