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22   Chapter One

        reduces the long-term reliability of the transistors. Any material will con-
        duct electricity if a sufficient electrical field is applied. In the case of insu-
        lators this is called  dielectric breakdown and physically melts the
        material. At extremely high electric fields the electrons, which bind
        the molecules of the material together, are torn free and suddenly large
        amounts of current begin to flow. The gate oxides of working MOSFETs
        accumulate defects over time that gradually lower the field at which the
        transistor will fail. These defects can also reduce the switching speed
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        of the transistors. These phenomena are particularly worrisome to
        semiconductor manufacturers because they can cause a new product to
        begin failing after it has already been shipping for months or years.
          The accumulation of defects in the gate oxide is in part due to “hot”
        electron effects. Normally the electrons in the channel do not have enough
        energy to enter the gate oxide. Its band gap is far too large for any sig-
        nificant number of electrons to have enough energy to surmount at
        normal operating temperatures. Electrons in the channel drift from
        source to drain due to the lateral electric field in the channel. Their aver-
        age drift velocity is determined by how strong the electric field is and how
        often the electrons collide with the atoms of the semiconductor crystal.
        Typically the drift velocity is only a tiny fraction of the random thermal
        velocity of the electrons, but at very high lateral fields some electrons may
        get accelerated to velocities much higher than they would usually have
        at the operating temperature. It is as if these electrons are at a much
        higher temperature than the rest, and they may have enough energy to
        enter the gate oxide. They may travel through and create a current at
        the gate, or they may become trapped in the oxide creating a defect. If a
        series of defects happens to line up on a path from the gate to the chan-
        nel, gate oxide breakdown occurs. Thus the reliability of the transistors
        is a limit to how much their dimensions can be scaled. In addition, as gate
        oxides are scaled below 5 nm, gate tunneling current becomes significant.
          One implication of quantum mechanics is that the position of an elec-
        tron is not precisely defined. This means that with a sufficiently thin
        oxide layer, electrons will occasionally appear on the opposite side of the
        insulator. If there is an electric field, the electron will then be pulled
        away and unable to get back. The current this phenomenon creates
        through the insulator is called a tunneling current. It does not damage the
        layer as occurs with hot electrons because the electron does not travel
        through the oxide in the classical sense, but this does cause unwanted
        leakage current through the gate of any ON device. The typical solution
        for both dielectric breakdown and gate tunneling current is to reduce
        the supply voltage.



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          Chen, “Dynamic NBTI of p-MOS Transistors.”
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