C Thermal Oxidation

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    Oxidation -

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    Thermal Oxidation

    Oxidation method wet oxidation

    dry oxidation

    rapid thermal oxidation

    high pressure oxidation plasma enhanced oxidation

    Oxide hardness technology post oxidation anneal

    nitrogen passivation

    N2O or NO oxidation, N2O or NO anneal, nitrogen implantation fluorine passivation

    HF dip, VHF clean, NF3 additive, fluorine implantation

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    Atomic Structures

    SiO2 Density=2.26(2.4) g/cm3

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    Thermal Oxidation

    Dry Oxidation Si (s) + O2 (g) SiO2 (s)

    Wet Oxidation 2H2 (g) + O2 (g) H2O (g)

    Si (s) + H2O (g) SiO2 (s) +2H2 (g)

    0.44d Si to 1d SiO2

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    Deal-Grove Model-1

    Oxidants must be transported from the bulk of the gas tothe oxide surface.

    Cg : oxidant concentration in bulk of gas

    Cs

    : oxidant concentration right next to the oxide surface

    hg : gas phase mass-transfer coefficient

    Henrys law In equilibrium, the concentration of a species within a solid is proportional

    to the partial pressure of that species in the surrounding gas.

    C=Hp, where H is the Henrys law constant and p is the gas pressure

    C* = H pg(equilibrium concentration in bulk SiO2)

    Co= H ps(equilibrium concentration at bulk gas/SiO2interface)

    )(1 sgg CChF

    HkThhCChF

    p/kTC

    go /where,)(

    gasidealFor

    *

    1

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    Deal-Grove Model-2

    Oxidants must diffuse across the oxide layer already

    present.

    D is the diffusitivity of oxidant in bulk oxide

    Ci is the oxidant concentration in bulk oxide

    at the oxide/silicon interface

    xo is the thickness of oxide layer already present

    Oxidants must react at the

    oxide/silicon interface

    ks is the chemical surface-reaction rate constant

    o

    io

    x

    CCDF

    2

    isCkF 3

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    Deal-Grove Model-3

    Steady state : F=F1=F2=F3

    h

    k

    CCCk

    CCCD

    D

    xk

    h

    k

    CD

    xk

    C

    D

    xk

    h

    k

    CC

    soi

    oi

    oss

    os

    ooss

    i

    1

    0As

    and00As

    1

    1

    and

    1

    *

    s

    *

    *

    *

    Diffusion control

    Reaction control

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    Deal-Grove Model-4

    N : The number of oxidant molecules incorporated into a

    unit volume of oxide. O2 oxidation : N=2.2x10

    22 molecules/cm3

    H2O oxidation : N=4.4x1022 molecules/cm3

    B

    Axx

    N

    DCB

    hkDA

    tBAxx

    xx

    D

    xk

    h

    kCkF

    dtdxN

    ii

    s

    oo

    iooss

    so

    2

    *

    2

    *

    2

    112

    0conditioninitial,

    1

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    Deal-Grove Model-5

    constantratelineartheis

    iprelationshlinearcalledist

    4tAs

    constantrateparabolictheis

    iprelationshparaboliccalledis

    4As

    1

    4

    1

    2

    From

    *

    2

    2

    2

    2

    2

    N

    C

    hk

    hk

    A

    BA

    Bx

    BA

    B

    Btx

    BAt

    BA

    t

    A

    x

    tBAxx

    s

    s

    o

    o

    o

    oo

    Reaction control Diffusion control

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    Initial Oxidation

    Massouds experimental model:

    Apply to either (111) or (100) oriented Si.

    The first term is the Deal-Grove Model.

    The second term represents an additional oxidation mechanism.

    The actual mechanism is still not clear.

    nmLeVEhrmC

    kT

    E

    CC

    L

    xC

    Ax

    B

    dt

    dx

    Ao

    A

    o

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    o

    o

    7and,35.2,/106.3

    exp

    exp2

    8

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    Oxidation Equipments

    Furnace oxidation

    (Hot wall)

    Rapid thermal oxidation

    (Cold wall)

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    Oxidation Furnaces

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    Oxidation Recipe

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    Measurement of Oxide

    Color chart

    Physical methods Scanning Electron Microscope (SEM), Transmission Electron Microscope

    (TEM), Surface Profiler, Atomic Force Microscope (AFM)

    Detect : thickness, interface structure, surface roughness

    Optical methods Ellipsometer

    Detect : thickness (T), refraction index (n), absorption index (k)

    Electrical methods Capacitance-Voltage curve, electrical strength, interface state density, etc.

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    Color Chart

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    Scanning Electron Microscopy

    Principle : image contrast obtained by electron from different material or different

    topography

    Signal to Form Images : Secondary Electron (SE)

    Ee

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    Transmission Electron Microscopy

    Principle : image contrast obtained by electron transmitted through thin materials

    Signal to Form Images : bright field image

    direct transmitted beam to provide micro-structure and morphology

    dark field image diffracted beam image to obtain crystallographic information

    lattice image (high resolution TEM, HREM) a combination of diffracted and direct beams to yield images with atomic resolution

    diffraction diffraction yields crystallographic and orientation information

    x-ray spectroscopy (EDX/WDX)

    electron energy loss spectroscopy (EELS)

    energy analysis of transmitted electron to analyze low-Z element

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    TEM Sample Preparation

    Plane-View Sample circular sample cut to diameter 3mm

    chemical or mechanical thinning to 100 um

    chemical or ion-milling to form ultra-thin area

    Cross-Sectional Sample rectangular sample cut to 2mm x 3 mm

    stack samples

    mechanical polish to 20 um

    fixed by Cu-ring

    ion-milling to form ultra thin area

    Precision Sample FIB cut

    3 mm

    ultra thin area

    3 mm

    2 mm

    E-beam

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    SiO2/Si Interface

    Si Lattice

    Image

    SiO2

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    Atomic Force Microscopy

    Principle : a sharp tip is vibrated perpendicular to the sample surface at the resonant

    frequency.

    Van der Waals force between probe tip and sample surface modify the

    resonant frequency.

    The change of resonance provides a corresponding displacement.

    Application : surface morphology measurement

    sensitivity ~ atomic level

    three dimensional topography measurement accuracy +-1 nm, repeatability +-10 nm

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    Ellipsometer

    layeriththeofthicknessthet

    layeriththeofindexabsorptionthek

    layeriththeofindexrefractionthen

    airofindexrefractionthen

    1allwith),,,,,,,

    1allwith),,,,,,,

    .measurableare

    )3600(and)900(anglesricellipsometThe

    )tan(ratioreflectioncomplexThe

    )(

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    ssiiio

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    s

    p

    s

    ss

    p

    p

    p

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    Spectrum Ellipsometer

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    Effect of Oxidation Ambient

    Wet oxidation rate is much higher than dry oxidation rate

    because the oxidant solubility in SiO2 (C*) is much higher

    for H2O than for O2.

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    Effect of Crystal OrientationDry O2/1000C/1hr

    Effect of crystal orientation is explained by the differences

    in the surface density of silicon atoms on the various

    crystal faces.

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    Effect of Pressure

    The concentration of oxidant just inside the oxide at thegas/SiO2 interface C

    * is proportional to pg, then both B and

    B/A are proportional to pg.

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    Boron-doped

    Effect of Impurity Concentration

    The mechanism associates with the faster oxidation at theSi/SiO2 interface due to higher vacancy concentration, i.e.

    B/A is affected. The differences of oxidation time is more pronounced for n+ Si than for p+

    Si and is more pronounced for low temperature oxidation compared to

    high-temperature oxidations.

    Phosphorus-doped

    N i l Chi T U i i

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    Chlorine Incorporation

    O2 + HCl or TCA or DCE Effective for dry oxidation only

    Lower interface state density

    Lower defect density

    Gettering of metal ions in oxides

    Enhanced oxidation rate due to

    Rough interface at high Cl concentration (TCA>8%)

    OHClOHCl 222 24

    N ti l Chi T U i it

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    Fluorine Incorporation

    Methods HF surface immersion

    F2 surface treatment

    Oxidation with NF3 additive

    F+ implantation into Si or oxide

    Fluorine effects Enhanced oxidation rate

    Lower dielectric constant

    Better oxide quality

    Enhanced boron penetration Poorer dielectric reliability with excess fluorine

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    Nitrogen Incorporation

    Higher low field mobility Lower high field mobility

    Lower defect density

    Higher reliability Stronger radiation immunity

    Slower boron penetration

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    Nitrogen Incorporation

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    Oxide Charges

    Flat-band voltage (Vfb) and threshold voltage (Vth)

    F

    ox

    Sifbth

    T

    m

    oxoxox

    f

    ox

    it

    ox

    otmsfb

    C

    QVV

    dxxT

    x

    CC

    Q

    C

    Q

    C

    QV

    ox

    2

    1

    0

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    Oxide Charges

    Interface charge (Qit) Magnitude depends on Si orientation : (111)>(110)>(100)

    Magnitude depends on surface impurity and interface bonding

    Magnitude can be reduced by annealing at 400-500oC in H2 ambient

    Fixed charge (Qf)

    Immobile and independent of surface potential Depends on Si orientation and oxidation condition

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    Oxide Charges

    Mobile ion (Qm) Comes from metal contamination

    Drift rate is thermally activated and is field dependent

    Trapped charge (Qot)

    Maybe positive or negative Maybe caused by ionization radiation or carrier injection

    Trap site comes from defect in oxide layer

    Low temperature annealing can not remove trap site but cause

    neutralization or compensation of trapped charge.

    Polarization charges (Qp) Comes from electric field induced dipole

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    Effect of Mobile Ions

    SiO2

    HfO2

    EOT 1

    Q(x)

    EOT

    EOT 1

    EOT 2

    0

    X

    HfO2

    SiO2

    P-type

    v

    EOT

    2

    2

    2 2

    ,

    2

    ,

    1[ 1* *

    1 11 * ( 1 )* ]

    2 2

    it S iOit High

    Hig

    FB ms

    ox

    S iOh

    V EOT EOT

    EOT EOT EOT

    Q

    Q

    Q

    Q

    0

    1 1( )dFB

    o

    V xQ x dxC d

    - 12 -

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    Application of Thermal Oxides

    National Chiao-Tung UniversityD t t f El t i E i i &

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    ITRS Roadmap (2003)

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    Carrier Injection

    Tunneling Mechanism Schottky Emission

    Frenkel-Pool Emission

    Fowler-Nordheim Tunnelingor Field Emission

    Ionic Conduction

    Space Charge Limited

    Ohmic

    Direct Tunneling

    kT

    q

    T

    VaT

    kT

    qEqTAJ BIB

    exp~

    4/exp

    22*

    kT

    q

    T

    VaV

    kT

    qEqEJ BIB

    2exp~

    /exp

    V

    b

    VEq

    qm

    EJB

    exp~3

    24

    exp2

    2/3*2

    T

    c

    T

    V

    kT

    E

    T

    EJ a exp~exp

    T

    cV

    kT

    EEJ a exp~exp

    23

    23

    23

    22

    1

    2

    exp

    1 s

    oxss

    oxsoxs

    ox qV

    E

    C

    qV

    BEJ

    2

    3

    2

    ~4

    VL

    VJ

    S.E.

    F-P

    F-N

    D.T.

    Ionic

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    Issues of Thin Oxide

    Direct tunneling current

    Maximum tolerable Igate

    2

    321

    2

    3

    23

    23

    23

    2

    21

    2

    2

    3

    4

    16

    exp

    1

    sox

    s

    s

    oxss

    ox

    s

    oxs

    oxDT

    q

    mC

    qB

    qV

    E

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    qV

    BEJ

    2

    gate

    /1

    m0.1//1

    m0.1LAs

    /1

    cmA

    mnAI

    mnAII

    gate

    offgate

    1um

    0.1 um

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    Issues of Thin Oxide

    Poly-Si depletion

    Influence Constant field & constant Npoly

    => constant Vpoly

    An 0.3-0.5nm thick EOT loss is

    inevitable.

    polySi

    gox

    accoxinvox

    poly

    Sipoly

    polyoxSifbg

    Nq

    V

    TT

    N

    QV

    VVVVV

    22

    ,

    2

    ,

    2

    2

    meas

    oox

    C

    AEOT

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    Issues of Thin Oxide

    Quantum effect Because of the conduction band triangular like well at the surface,electron states are a series of discrete levels above the edge of the

    conduction band.

    The surface potential is larger than classical predicted.

    Charge is located 0.5-1.0 nm away from surface than classical predicted.

    Consequences A 0.3 nm increase of effective oxide thickness

    An increased depletion layer charge density

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    Issues of Thin Oxide

    Boron penetration Boron may diffuse through gate oxide

    from p+ poly-Si gate of PMOSFET. Positive flat-band voltage shift

    Degradation of oxide wearout properties

    Thinner oxides result in severer boronpenetration effect.

    Fluorine and hydrogen enhance boron

    diffusion.

    Crystallized a-Si retards boron diffusion.

    Nitrided oxides reduce boron diffusitivity.

    Trade-off between boron

    penetration and poly depletion

    Tox=3.3nm

    IEDM, 1995, p.85

    VLSI-TSA, 1997, p.167

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    Advantages of High K Dielectric

    Thicker thickness

    Lower EOT

    Lower tunneling current

    ox

    ox

    HKHK TT

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    I tit t f l t i

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    Requirement of High K Dielectric

    Criteria Requirement

    EOT scalability < 1 nm Dielectric constant > 15

    Negligible FIBL effect Dielectric constant < 60

    Leakage current < 1A/cm2 Band gap > 5eV

    Barrier height > 1eV

    Thermal stability No silicidation and reduction

    Hysteresis < 20mV

    Dispersion 10 years

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    Band Alignment Consideration

    Energy gap of dielectric depends on dielectric constant.

    Oxide Dielectric

    Constant

    SiO2 3.9

    Si3N

    4 7-9

    HfO2 ~30

    ZrO2 ~25

    Al2O

    3 9-13

    Y2O

    3 11-17Ta

    2O

    5 25-45

    La2O

    3 21