Lecture 17 MOS Transistors

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    Basic MOS Device Physics

    Lecture 17

    MSE 515

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    Topics

    MOS Structure

    MOS IV Characteristics

    CCD

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    Revolution and Evolution in Electronics

    Source: IntelSource: Intel

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    Source: IntelSource: Intel

    1,000,0001,000,000

    100,000100,000

    10,00010,000

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    1 Billion1 BillionTransistorsTransistors

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    i486i486

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    NMOS Structure

    LDis caused by side diffusion

    Source: the terminal that providescharge carriers.(electrons in NMOS)

    Drain: the terminal that collectscharge carriers.

    Substrate contact--toreverse bias the pn junctionConnect to most negative supply voltage

    in mostcircuits.

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    Although no current should ideally conduct before threshold, a small

    percentage of electrons with energy greater than or equal to a few kT havesufficient energy to surmount the potential barriers!

    Subthreshold Characteristics

    Short-Channel MOSFETs

    As a result, there is a slight amount of current conduction below VT

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    Potential contours in a long channel MOSFET.

    In a long channel MOSFET,

    the potential is uniform andparallel to the gate.

    Short-Channel MOSFETs

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    Narrow Width Effect

    If the Polysilicon gate is atop the region of a LOCOS isolation where the oxide isincreasing in thickness.

    It is possible to form a channel under LOCOS away from the thin gate oxide!This is quite important for devices with L < 1 m.

    Short-Channel MOSFETs

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    CMOS Structure

    PMOSNMOS

    Reverse bias the pnjunction

    Reverse bias the pnjunction

    Connect to most positive

    supply voltage in mostcircuits.

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    MOS IV Characteristics

    Threshold Voltage

    Derivation of I/V Characteristics

    I-V curve

    Transconductance

    Resistance in the linear region

    Second Order Effect

    Body Effect

    Channel Length Modulation

    Subthreshold conduction

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    Threshold Voltage

    1. Holes are expelled from the gate area2. Depletion region (negative ions) is

    created underneath the gate.

    3. No current flows because no chargecarriers are available.

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    MOSFET as a variable resistor

    The conductive channel between S and D can be viewed

    as resistor, which is voltage dependent.

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    Threshold Voltage (3)

    When the surface potential increases to acritical value, inversionoccurs.1. No further change in the width of the

    depletion region is observed.2. A thin layer of electrons in the depletion

    region appear underneath the oxide.3.

    A continuous n-type (hence the nameinversion) region is formed between thesource and the drain. Electrons can nobe sourced from S and be collected atthe drain terminal. (Current, however,

    flows from drain to source)4. Further increase in VG will fruther incrase

    the charge density.

    The voltage VG required to provide an

    inversion layer is called the thresholdvoltage.

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    Implantation of p+ dopants toalter the threshold

    Threshold voltage can be adjusted by implantingDopants into the channel area during fabrication.

    E.g. Implant p+ material to increase threshold voltage.

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    Formation of Inversion Layer in aPFET

    The VGS must be sufficient

    negative to produce an inversionlayer underneath the gate.

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    I-V Characteristics

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    Channel Charge

    A channel is formed when VGis increased to the point

    that the voltage difference between the gate andthe channel exceeds VTH.

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    Application of VDS

    What happens when you introduce a voltage at the drain terminal?

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    Channel Potential Variation

    VXthe voltage along the channel

    VXincreases as you move from S to D.

    VG-VXis reduced as youmove from S to D.

    E.g. VS=0, VG=0.6, VD=0.6At x=0, VG-VX=0.6 (more than VTH)At x=L, VG-VX=0 (less than VTH)

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    Pinch Off

    Small VDS

    Large VDS

    No channel

    Electrons reaches the D

    via the electric field in thedepletion region

    SaturationRegion

    LinearRegion

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    MOSFET as a controlled linearresistor

    1. Take derivative of IDwith respect to V

    DS

    2. For small VDS, the drain resistance is

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    Transistor in Saturation Region

    I-V characteristics

    Transconductance

    Output resistance Body transconductance

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    Saturation of Drain Current

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    Transconductance

    Analog applications:How does Idsrespond to changes in VGS?

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    IDS vs VGS

    0.13 um NMOSVDS=0.6 VW/L=12um/0.12 umVB=VS=0

    Y axis: IdsX axis: Vgs

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    Different Expressions ofTransconductance

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    Channel Length Modulation

    As VDS increases, L1 will move towards the source, sincea larger VDSwill increase VX .

    L is really L1

    ID will increase as VDS increases.The modulation of L due to VDSis called channel length modulation.

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    Controlling channel modulation

    For a longer channel length, the relative change in L andHence ID for a given change in VDS is smaller.

    Therefore, to minimize channel length modulation, minimum

    length transistors should be avoided.

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    Output resistance due to gds

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    MOS Device Layout

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    MOS Capacitances

    D t t l

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    Detector zoology

    X-ray Visible NIR MIR

    [m]

    Silicon CCD & CMOS

    0.3 1.10.9 2.5 5 20

    HgCdTe

    InSb

    STJ

    0.1

    Si:As

    In this course, we concentrate on 2-D focal plane arrays. Optical silicon-based (CCD, CMOS) Infrared IR material plus silicon CMOS multiplexer

    Will not address:APD (avalanche photodiodes)STJs (superconducting tunneling junctions)

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    Step 2: Charge Generation

    Silicon CCD

    Similar physics for IRmaterials

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    CCD Introduction

    A CCD is a two-dimensional array of metal-oxide-semiconductor (MOS) capacitors.

    The charges are stored in the depletion region ofthe MOS capacitors.

    Charges are moved in the CCD circuit bymanipulating the voltages on the gates of thecapacitors so as to allow the charge to spill fromone capacitor to the next (thus the namecharge-coupleddevice).

    An amplifier provides an output voltage that canbe processed.

    The CCD is a serial device where charge packetsare read one at a time.

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    Potential in MOS Capacitor

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    CCD Phased Clocking:Summary

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    1

    2

    3

    CCD Phased Clocking: Step 3

    +5V

    0V

    -5V

    +5V

    0V

    -5V

    +5V

    0V

    -5V

    1

    2

    3

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    CCD output circuit

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    Charge Transfer Efficiency

    When the wells are nearly empty, charge can be trapped byimpurities in the silicon. So faint images can have tails in thevertical direction.

    Modern CCDs can have a charge transfer efficiency (CTE) pertransfer of 0.9999995, so after 2000 transfers only 0.1% of thecharge is lost.

    good CTE bad CTE

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    Threshold Voltage

    VG=0.6 V

    VD=1.2 V

    CMOS: 0.13 um

    W/L=12um/0.12 um NFET

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    I-V characteristic Equation forPMOS transistor

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    More on Body Effect

    Example

    Analysis

    gmbs

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    Variable S-B Voltage

    constant

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    gm as function of region

    saturation

    0.13 um NMOSVGS=0.6 VW/L=12um/0.12 um

    VB=VS=0Y axis: gmX axis: vds

    linear

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    gds

    saturation

    0.13 um NMOSVGS=0.6 VW/L=12um/0.12 um

    VB=VS=0Y axis: gmX axis: vds

    linear

    Slope due tochannel lengthmodulation

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    Body Effect

    The n-type inversion layer connects the source to the drain.The source terminal is connected to channel. Therefore,

    A nonzero VSB introduces charges to the Cdep.The math is shown in the next slide.

    A nonzero VSB for NFET or VBS for PFET has the net effectOf increasing the |VTH|

    E i t l D t f B d

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    Experimental Data of BodyEffect

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    W/L=12 um/0.12umCMOS: 0.13 um processVDS=50 mVSimulator: 433 mVAlternative method: 376 m

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    Subthreshold current

    Subtresholdregion

    As VG increases, the surfacepotential will increase.

    There is very little majority carriers

    underneath the gate.

    There are two pn junctions. (B-S and B-D)

    The density of the minority carrierdepends on the difference in the

    voltage across the two pn junction diode.

    A diffusion current will result the electron densities

    at D and S are not identical.

    Conceptual Visualization of

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    Conceptual Visualization ofSaturation and Triode(Linear)

    Region

    NMOS

    PMOS

    I V Ch t i ti E ti f

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    I-V Characteristic Equations forNMOS transistor

    (Triode Region:VDSVGS-VTH

    To produce a channel (VGS>VTH)

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    VTHas a function of VSB

    (VTH0: with out body effect)

    Body effect coefficient

    VSB dependent

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    Sensitivity of IDSto VSB

    (chain rule)

    gm

    =1/3 to 1/4, bias dependent

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    Bias dependent CGSand CGD

    C l t NMOS S ll Si l

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    Complete NMOS Small SignalModel

    C l t PMOS S ll Si l

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    Complete PMOS Small SignalModel

    Transcond ctance in the triode

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    Transconductance in the trioderegion

    (Triode region)

    For amplifier applications, MOSFETs are biased in saturation

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    Small signal model of an NMOS

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    Small Signal Model

    If the bias current and voltages of aMOSFET are only disturbed slightly bysignals, the nonlinearamd largesignal

    model an be reduced to linearandsmallsignal representation.