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1 半導體物理與元件 5-1 中興物理 孫允武 四、 場效電晶體原理 1. 電晶體簡介 2. MOSFET的操作原理(定性的描述) 3. MOSFET的電流電壓特性與大訊號模型 4. 臨界電壓 5. MOSFET的種類 6. MOSFET2nd order effect 7. JFET 半導體物理與元件 5-2 中興物理 孫允武 電晶體簡介 電晶體(transistor)是近代電子電路的核心元件,他的主要功能是做電流的開 關,就如同控制水管中水流量的閥(valve) (a) (b)

四、場效電晶體原理1. 電晶體簡介2. MOSFET的操作原理(定性的描述

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  • 1

    5-1

    1.

    2. MOSFET(

    3. MOSFET

    4.

    5. MOSFET

    6. MOSFET2nd order effect

    7. JFET

    5-2

    (transistor)(valve)

    (a) (b)

  • 2

    5-3

    bipolar junction transistor, BJTfield effect transistor, FET

    BJT pn

    p+ nE

    B

    Cp

    VEB VBC

    E B C

    E B C

    5-4

    FET (channel)

    S

    D

    G

    S

    D

    G

    pFET nFET

  • 3

    5-5

    FET(Junction Field Effect Transistor, JFET)(Metal-Oxide-Semiconductor FET, MOSFET)

    (Source)

    (Drain)

    (Gate)1

    np+

    (Gate)2

    p+

    tL p n+

    (S)

    (G)

    n+

    (Metal)

    (Oxide)

    (Semiconductor)(Body)

    (D)

    JFET\pn

    MOSFETMOS

    5-6

    BJTpoint contact transistorBell Laboratory(John Bardeen, 1908-1991)Walter Brattain, 1902-1987William Shockley, 1910-19891947pn1956

    FETBJTFETFET

    1985K. von KlitzingMOSFET(Integer Quantum Hall Effect, IQHE)

    1998(HEMT, high mobility transistor)Fractional Quantum Hall Effect)

    , "", , , 2000.

    2000(Zhores I. Alferov)(Herbert Kroemer)(Jack St. Clair Kilby)

    HONOR LIST

  • 4

    5-7

    1964 for fundamental work in the field of quantum electronics, which has led to the construction of oscillators and amplifiers based on the maser-laser principle Charles Hard Townes, Nicolay Gennadiyevich Basov, Aleksandr Mikhailovich Prokhorov

    1973L. Esaki (tunneling effect)

    5-8

    MOSFET

    p n+

    (S)

    (G)

    n+

    (Metal)

    (Oxide)

    (Semiconductor)(Body)

    (D)

    (S)

    (D)

    (G)

    (S)

    (D)

    (G)

    (body)

    nMOSFET(NMOS)

    MOSFETMOSFET

  • 5

    5-9

    pn+

    (S)

    (G)

    n+

    (Oxide)

    (Body)

    (D)

    C

    n+

    p

    C

    pnNMOS(cut off)

    S D

    GID

    VGS

    VDS>0

    IG=0

    VGS=0

    5-10

    pNMOS

    pn+

    (S)

    (G)

    n+

    (D)

    n+

    0

  • 6

    5-11

    pn+

    (S)

    (G)

    n+

    (D)

    VGS=Vt

    Vt (threshold voltage)()

    pn+

    (S)

    (G)

    n+

    (D)

    VGS>VtVGS-Vt

    n+

    VGSVt

    5-12

    n+

    n+

    (1)(2)

    (3)(4)

    n+

    (1)(2)

    (3)(4)

    CC

    pn+

    (S)

    (G)

    n+

    (D)

    VGSVt

  • 7

    5-13

    1.00.80.60.40.20

    ID(mA)

    0.40.20VDS (V)

    VGS=4V

    3.5V

    3.0V

    2.5V VGS2.0V= Vt

    VDSMOSFETVGSVtVGS>VtDS

    VDS DSI-V

    MOSFET

    5-14

    n+

    n+

    C

    VG

    VS VDVGS VGD

    n+

    n+

    C

    VG

    VSVD

    VGSVGD

    Vt

    VDS

    Vt

    L

    ID

    VDS

    ID

    VDS

    (a) (b)

  • 8

    5-15

    n+

    n+

    C

    VG

    VSVDVGS

    VGD

    VDS

    Vt

    n+

    n+

    C

    VG

    VS

    VDVGS

    VGD

    VDS

    Vt

    L

    X

    ID

    VDS

    ID

    VDS

    VDSS

    triode

    saturation

    (c) (d)

    5-16

    VGD= Vt(pinch off)VDSVGDVtDLL

  • 9

    5-17

    ID(mA)

    VDS (V)

    VDSS (=VGS-Vt)

    VGS=4V

    VGS=3.5V

    VGS=3.0VVGS=2.5V

    VGS2.0V

    1086420

    3210 4

    (a)

    (b)(c)

    (d)

    VGSMOSFET

    (Analog Switch)

    (VCCS)

    )( GSD Vi

    )( GSDS VR

    5-18

    MOSFET

    MOSCoxMOStoxox

    MOSL()W()MOS

    (threshold voltage)VtMOSFET

    (bias voltages)VGS, VDS, VS ,VB(body)

    ID

  • 10

    5-19

    MOSFET

    DSDS

    DS

    p n+

    (S)

    (G)

    n+

    (Metal)

    (Oxide)

    (Semiconductor)(Body)

    (D)

    L

    W

    (D)(S)

    E(x)

    Q(x)J(x)

    ox

    oxoxtGSox t

    CVCQxQ === )()(

    Q [C/m2]: Cox [F/m2]:

    GS>Vt

    5-20

    LE DS=

    [A/m]=[C/sm]L

    VCEQQvJ DStGSoxnndn )( ===

    iD DStGSnDStGSoxnnD VLWkV

    LWCWJi )()( ===

    =

    =

    )(

    )(1

    tGSnDS

    DSDDS

    tGSnD

    DSDS

    VL

    Wkig

    VL

    Wki

    r

    (DS)

    Process transconductance parameter: oxnn Ck = [A/V2]

    DS

    Aspect ratio: W/Llayout()LW

  • 11

    5-21

    DS

    )21( DStGSox VC

    iD

    DS

    n+

    n+

    C

    G

    SD

    GSGD

    DS

    Vt

    )( tGSox VC )( tGDox VC

    DSDStGSnDSDStGSoxnD VLWkV

    LWCi )

    21()

    21( ==

    iD

    iDDS(parabola)

    Triode rigionGDVtDS GS-Vt

    or

    5-22

    n+

    n+

    C

    G

    SGS

    GD

    DSVt

    iD

    DS

    DSsat

    GD=VtDSsat=GS-Vt

    oriD

    22 )(21)(

    21

    tGSntGSoxnD VLWkV

    LWCi == Saturation region

    GD VtDS GS-Vt

    orDSDSsat iDDS(GS-Vt)

  • 12

    5-23

    iD (mA)

    DS (V)

    DSsat (=GS-Vt)GS=4V

    GS=3.5V

    GS=3.0VGS=2.5V

    GS2.0V

    1086420

    3210 4

    triode

    saturation

    cutoff

    iDsat(mA)

    GS (V)

    1086420

    0 321

    Vt

    4

    OFF (S)

    ON (S)

    cutoff

    saturation

    triode

    (S)

    (D)

    (G)

    (S)

    (D)

    (G)

    2

    21

    DSnD LWki =

    2)(21

    tGSnD VLWki =

    5-24

    n-channel MOSFET

    iD (mA)

    DS (V)

    DSsat (=GS-Vt)GS=4V

    GS=3.5V

    GS=3.0VGS=2.5V

    GS2.0V

    1086420

    3210 4

    triode

    saturation

    cutoff

    (S)

    (D)(G)

    iD

    GSDS

    iG=0

    Open circuit

    G

    D

    S

    VCCS

    Nonlinear resistance

    GS2)(

    21

    tGSn VLWk

    G D

    S

    GS

    G D

    S

    rDS

    )21(1 DStGSn

    DSDS VL

    Wkr

    g ==

  • 13

    5-25

    IC

    n+

    p

    C

    n+

    pn+

    (S)

    (G)

    n+

    (D)

    VGS=Vt

    Vt

    CX

    5-26

    n+

    C

    X

    pFlat-band condition

    qs: Bending of surface potential

    VGS =0

    VGS=Vt

    qVbi, B

    qs

    VGS

    Q

    Vt

  • 14

    5-27

    s

    pn(built-in potential)

    i

    D

    i

    A

    i

    DAbi n

    NkTnNkT

    nNNkTqV lnlnln 2 +==

    p n

    (depletion region)(space charge region)

    EC

    EV

    qVbi

    Eg

    xd

    qp qnqnqp

    +=

    DA

    bid NNq

    Vx 112 Si

    5-28

    MOSFET

    MetalOxide p-Si

    Flat-band condition

    EC

    EV

    MetalOxide p-Si

    Threshold condition

    EC

    EV

    qpqs

    s =2 p

    xd

    qox

    qVt

    oxpoxstV +=+= 2

  • 15

    5-29

    Metal

    Oxidep-Si

    EC

    EV

    qpqs

    xd

    qox

    E=0E=0 ESiEox

    sox

    tox

    Vt

    oxoxox tE=i

    Aps n

    NqkT ln22 ==

    0

    A

    psd qN

    x)2(2

    =ESiSi

    Sisoxox EE =Eox

    ox

    psA

    A

    ps

    ox

    A

    ox

    dAox

    oxoxdASis

    qN

    qNqN

    xqNE

    ExqNE

    )2(2

    )2(2

    =

    =

    =

    ==

    ox

    psAp

    oxox

    psAp

    oxpt

    CqN

    tqN

    V

    )2(22

    )2(22

    2

    +=

    +=

    +=

    body(S)

    5-30

    ox

    psApFB

    oxox

    psApFBt

    CqN

    V

    tqN

    VV

    )2(22

    )2(22

    ++=

    ++=

    Vt

    1. flat-band conditionVGS=0VFB VFB

    2. Vt

    3. Vt-2 mV/C

    4. VGS=0MOSFET

  • 16

    5-31

    n+

    C

    X

    pqs: Bending of surface potential

    VGS=Vt qVbi,B

    qVSB

    5. (B)(S)VSBbody effect

    qs +qVSB

    [ ]ox

    sApSBpt

    ox

    SBpsApFBt

    CqN

    VV

    CVqN

    VV

    222

    )2(22

    0 ++=

    +++=

    Body-effect parameter

    VSB

    5-32

    MOSFETMOSFETNMOS(n-channel MOSFET)PMOS (p-channel MOSFET)VGS=0(depletion type)(enhancement type)

    iD

    GS (V)

    0

    n-channelenhancement

    n-channeldepletion

    p-channelenhancement

    p-channeldepletion

    n-channelp-channeliD

  • 17

    5-33

    p-channel MOSFET

    n p+

    (S)

    (G)

    p+

    (Metal)

    (Oxide)

    (Semiconductor)(Body)

    (D)

    (S)

    (D)

    (G)

    (S)

    (D)

    (G)

    (body)

    iD

    5-34

    PMOS

    iD (mA)

    SD (V)

    SDsat (=Vt-GS)GS=-4V

    GS=-3.5V

    GS=-3.0VGS=-2.5V

    GS-2.0V

    1086420

    3210 4

    triode

    saturation

    cutoff

    (S)

    (D)(G)

    iD

    GSSD

    iG=0ox

    oxoxtGSox t

    CVCQxQ === )()(S

    GSVt

    DSDStGSp

    SDSDGStoxpD

    VL

    Wk

    VL

    WCi

    )21(

    )21(

    =

    =

    2

    2

    )(21

    )(21

    tGSp

    GStoxpD

    VL

    Wk

    VL

    WCi

    =

    =

    GDVt

    GDVt

    GS Vt

  • 18

    5-35

    n-channelenhancement

    n-channeldepletion

    p-channelenhancement

    p-channeldepletion

    S

    Digital Circuit

    5-36

    Depletion-type MOSFETiD

    GS (V)

    0

    n-channeldepletion

    p-channeldepletion

    IDSS

    GS =0MOSFETMOSFET

    MOSFETSi

  • 19

    5-37

    5-38

    MOSFET2nd order effect

    MOSFET

  • 20

    5-39

    Channel length modulation effect

    n+

    n+

    C

    VG

    VS

    VDVGS

    VGD

    VDS

    Vt

    L

    X

    VDSsat

    L

    DSSX(VDSsat)BJTEarly Effect

    lambda AV=

    1

    5-40

    GS

    2)(21

    tGSn VLWk

    GD

    S

    ro

    ro

    DDA

    o IIVr 1=

    )1()(21 2

    DStGSnD VLWki +=

    2

    1

    2

    1

    LL

    VV

    A

    A

  • 21

    5-41

    (BS)

    n+

    C X

    pFlat-band condition

    qs: Bending of surface potential

    VGS =0

    VGS=Vt0 qVbi, B

    n+

    BS=0

    n+

    C X

    pFlat-band condition VGS =0

    qVbi, B

    BS

  • 22

    5-43

    Vtk

    1. Vt-2 mV/C

    ox

    bsBbFBt C

    qNVV

    )2(22

    ++=

    i

    Bb n

    Nq

    kT ln=

    *

    5.1

    )()(me

    TTTT

    Ck

    RR

    ox

    =

    =

    =

    kT

    2.

    5-44

    iDsat

    GS (V)

    iD

    DS

    T>T

  • 23

    5-45

    MOSFET

    1. (NMOS)pn(avalanche breakdown)50100V

    2. (NMOS)punch-through

    3. 50V)

    pn+

    (S)

    (G)

    n+

    (D)

    CMOS(PMOS+NMOS)

    npnpnp BJTlatch-up

    5-46

    MOSFET

    MOSFET

    pn+

    (S)

    (G)

    n+

    (D)

    pn+

    (S)

    (G)

    n+

    (D)

    (gate capacitive effect)

    1. MOSFETtriodeWLCox CgsCgd

    2. GS

    oxgdgs WLCCC 21

    ==

    032

    =

    =

    gd

    oxgs

    C

    WLCC

  • 24

    5-47

    3. 0== gdgs CC

    (body)

    oxgb WLCC =

    4. Overlap capacitance:Lov0.1~0.2m13CgsCgdCov

    oxovov CWLC =

    p

    n+n+

    Lov

    5-48

    (Junction Capacitances)

    (B)pn

    0

    0

    0

    0

    1

    1

    VV

    CC

    VV

    CC

    DB

    dbdb

    SB

    sbsb

    +=

    +=

    NMOStox=20nm, L=2.4m, W=10m, Lov=0.15m, Csb0=Cdb0=40fF, |VSB|=|VDB|=2V

    21.4 fF21.4 fF2.6 fF30.6 fF2.6 fF1.75 fF/m2

    CdbCsbCgdCgsCovCox

  • 25

    5-49

    (Junction Field Effect Transistor, JFET)

    (Source)

    (Drain)

    (Gate)1

    n

    p+

    (Gate)2

    p+

    t

    W

    L

    (S)

    (D)

    (G)

    JFET input

    (preamp)

    5-50

    S D

    GID

    VGS0

    IG=0

    1.00.80.60.40.20

    ID(mA)

    0.40.20VDS (V)

    VGS=0V

    -0.5V

    -1.0V

    -1.5V VGS-2.0V

    Triode region:

    pnnp+ntRDS

    n(pinch off)(pinch-off voltage) Vp

  • 26

    5-51

    S D

    G

    n

    p+

    p+

    L ID

    VDS

    S D

    G

    n

    p+

    ID

    VDS

    p+

    VGSVDSIDVDS

    5-52

    S D

    G

    n

    p+

    ID

    VDS

    D

    G

    n

    p+

    p+

    L

    p+

    S

    ID

    VGD=Vp

    VGD

  • 27

    5-53

    XS D

    qVDSS

    L

    n

    VDSLLVDSXVpVDSVXS(=VDSS)VDSL

    VDSVGS-Vp(=VDSS)VDSIDVDSIDVDS(constant-current)(saturation)

    qVDS

    5-54

    iD(mA)

    DS (V)

    VDSS (=VGS-Vp)

    VGS=0V

    VGS=-0.5V

    VGS=-1.0VVGS=-1.5V

    VGS-2.0V

    1086420

    3210 4GS (V)

    iD (mA)

    1086420

    -2 10-1

    Vp

    IDSS

    )1(12

    DSp

    GSDSSD V

    Ii +

    =

    Triode

    =

    2

    12p

    GS

    p

    GS

    p

    GSDSSD VVV

    Ii

    NJFETNMOS PJFETPMOS