Nano Graphene Nanotubes

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    Lectures 15-16

    Graphene and

    carbon nanotubes

    Graphene is atomically thin crystal of carbon which is stronger than steel butflexible, is transparent for light, and conducts electricity (gapless semiconductor).

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    D.I.Y.

    GrapheneGeim & Novoselov(Manchester) 2004

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    Graphene from a nanopensil

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    Ultra-thin graphitic films mechanically exfoliated from

    bulk graphite

    Novoselov & Geim (Manchester)

    Science 306, 666 (2004)

    Geim & Novoselov - Nature Materials 6, 183 (2007) , , -

    Geim & Kim, Scientific American 90-97 (April 2008)

    10 nm

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    h bridisation forms stron directed bonds2

    s

    Carbon has 4 electrons in the outer s-p shell

    which determine a honeycomb lattice structure.

    C

    - bonds

    *Strong hybridised bonds

    make graphene mechanically strong.

    It takes 48,000 kNmkg1

    2sp empty

    ?- conduction properties(compare to best steel's 154 kNmkg1).

    Also, it is chemically resilient.

    strong covalentbonds full

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    hexagonal Bravais lattice unit cell can be

    chosen differently221121

    ananR nn

    sites

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    h bridisation forms stron directed bonds2

    s

    Carbon has 4 electrons in the outer s-p shell

    which determine a honeycomb lattice structure.

    C

    - bonds

    z

    eV3~0

    *

    eV10~pz-bands

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    Bragg scattering conditions

    Reciprocal lattice

    MRG nn 2

    221121NN121

    nne

    aGaG 1

    2||

    unitcell

    aS

    22

    2unitcellS

    222

    Hexagonal Bravais lattice determines a

    hexagonal reciprocal lattice, with

    1G aa

    GG32/3

    |||| 221

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    Reciprocal lattice

    221121NN

    21NN

    reciprocal latticecorresponding to

    Bravais lattice2G

    1st Brilloun zone

    1

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    Fermi point

    F

    Ek )(

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    Valle

    'G

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    is an atomically thin zero-gap

    two-dimensional semiconductor

    with linear dis ersion of

    conduction and valence bandelectrons.

    22cond yx

    Electronic dispersion in the vicinity of the corner of

    xyp

    22val

    the Brillouin zone: the same in both valleys.

    yx

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    high-energy photon

    ~ -

    Simultaneous detection

    of the energy, Eand

    propaga on ang e o

    photo-electrons

    enables

    to restorecompletely

    the band structure.

    EAp )( ||

    work function

    ng e-reso ve p oto-em ss on spectroscopy

    of heavily doped graphene synthesized on silicon carbideA. Bostwicket al Nature Physics, 3, 36 (2007)

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    DoS

    Graphene: gapless semiconductor

    gatecarriers Vn

    o es e ec ron

    Wallace, Phys. Rev. 71, 622 (1947)

    Graphene-based field-effect transistor:

    Geim and Novoselov, Nature Mat. 6, 183 (2007)

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    Graphene-based pixels

    When embedded in polymers,

    ra hene reinforces them remainsgraphene

    conducting and, since its thin, it ishighly transparent.

    ,

    flexible liquid crystal screens

    or to be used in conducting coating.Blake (Graphene Industries Ltd), et al

    Nano Lett. 8, 1704, (2008)

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    Graphene: state of the art in applicaitons

    G exfoliated from bulkra hite into

    G grown on copper andtransferred into various media

    G sublimated oninch-size SiC is used

    suspensions is used toenhance mechanical

    properties of light-weight

    is used for flexibleoptoelectronics,

    LCD displays, touch screens.

    for manufacturing THzcircuits. IBM & HRL (USA)IBM & HRL (USA)

    materials (for aerospace

    and medical implants ).

    (Samsung)

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    Carbon nanotubes

    Iijima 1991

    Smalley 1993

    STM images of carbon nanotubesT.W. Odom, J.-L. Huang, P.Kim, C.Lieber, Nature 391 (1998)

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    Nanotubes growth

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    anotu e t e

    armchair (n,n) metallic

    z g-zag n, sem con uc or

    c ra n,m sma -gap

    with n-m=3 semiconductors

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    Lyy

    Li

    )()0(

    /2

    Metallic nanotubes (n,n)

    eL

    2

    ~perimeter, 2r

    L

    y

    22cond v 2

    22

    2

    L

    Mhpv

    x

    cond

    n1

    n

    0nF

    xyp

    22

    ,....,,,xp

    22

    yx

    val ppv 22

    L

    pv xval

    n

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    1M

    Metallic nanotubes (m,m) with m=m

    truly 1D conductors

    0M

    ens yof states

    1M 1M||vx

    v

    DoS

    0M

    Yao et al(TUDelft)1999

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    Semicondutor-type nanotubes(different n and m)

    epen ng on ow e car on s ee s ro e n o ananotube, the resulting nanotube may have a gap in

    the electron spectrum. A gap in the nanotube

    spectrum is determined by its radiusr, which offers

    a direct root towards engineering semiconductor

    wires with a prescribed band gap, for use inelectronic and optoelectronic devices.

    r

    xp

    tunnelling current

    T.W. Odom, J.-L. Huang, P. Kim, C. Lieber, Nature 391 (1998)

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    Potential applications of carbon nanotubes:

    In surface tunnelling microscopy used as a tip.

    Make excellent tips for field-effect electron guns for plasma.displays (SONY).e ui- otential lines

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    in Nanoscience

    Initial training designed to demonstrate the breadth and potential ofnanoscience be ore ocusin on one s eci ic area o the sub ect.

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