Unit 2 Absorption in Semiconductors

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    Absorption in SemiconductorsAbsorption in Semiconductors

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    Absorption in Semiconductors

    s The operation of optical devices depends on the upward anddownward transitions of carriers between energy bands.

    s The transitions results in absorption or emission of light, which is

    electromagnetic energy.

    s The measurement of absorption and emission spectra in

    semiconductors provide information on thes Bandgap

    s Direct and indirect transitions

    s The distribution of states

    s

    The Energy position of defectss The impurity levels

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    Absorption in Semiconductors

    s The process of photon absorption results in the transition of anelectron from a lower energy state to a higher energy state.

    s If a photon with energy larger than the band gap energy is

    absorbed in a semiconductor, the electron and hole are generally

    not created with the same energy.

    s Usually, the electron with its lower mass in compound

    semiconductors is created with a larger energy than the hole.

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    Exciton Absorption

    s In very pure semiconductors, the electrons and holes producedby the absorption of a photon of near bandgap energy, pair to

    form an exciton. This is the free exciton.

    s In indirect bandgap semiconductors, exciton may also be formed

    with the absorption or emission of a phonon.

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    Donor-Acceptor and Impurity band Absorption

    s Both donors and acceptors are simultaneously present in a

    semiconductor.

    s Depending on the temperature and the state of occupancy of the

    impurity levels , it is possible to raise an electron from the

    acceptor to the donor level or by absorbing a photon.

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    Donor-Acceptor and Impurity band Absorption

    s The energy of the photon absorbed is

    s The term accounts for coulomb interaction between

    the donor and acceptor atoms , which results in thelowering of the binding energies.

    s For the ground state of the impurities, the energies ED and EA

    correspond to the most distant pairs and r is very high

    s So

    rq

    EEEhro

    ADg

    2

    rq

    ro

    2

    ADg EEEh

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    Donor-Acceptor and Impurity band Absorption

    s For fully ionized impurities, such as for the nearest neighbours,

    the excited states may lie within the respective band, so r may be

    less , so

    s

    Lowest energy transitions For most distant pairs(r is high)s Higher energy transitions For nearer pairs.

    AD

    ro

    EEr

    q +

    2

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    High Energy Transitions

    s High energy (near bandgap ) transitions can occur between

    ionized impurity levels and the opposite bandedge.

    s The photon energy absorbed is

    s Where Eb is the binding energy of the donor or acceptor level.bg EEh

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    Low Energy Absorption-Impurity-band transitions

    s The impurity-band transitions can have energies close to the

    bandgap.

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    Absorption Spectrum Change under Applied Electric

    Field

    s Franz-Keldysh Effect

    Neglect Coulomb interaction between electrons and holes.

    s DC Stark Effect

    Franz-Keldysh effect plus Coulomb interaction betweenelectrons and holes (excitons).

    s Quantum confined Start effect (QCSE)

    DC Stark Effect in quantum wells

    Excitons been confined in quantum well. Stark effect

    enhanced.

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    Franz-Keldysh effects

    The effect is named after the German physicist Walter Franz and Russian physiciLeonid Keldysh.

    s This is a change in optical absorption by a semiconductor when an electric field is

    applied.

    s Results in absorption of photon with energies less than the bandgap of the

    semiconductor.

    s At the classical turning points marked A and B, the electron wavefunctions chang

    from oscillatory to decaying behaviour.

    s With increase in electric field, the distance AB decreases .

    s In the absence of a photon, the valence electron has to tunnel through a triangular

    barrier of height Eg and thickness d.

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    Franz-Keldysh effects

    With the assistance of an absorbed photon, photon of energy hw

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    FRANZ-KELDYSH EFFECTS