16+-+MOSFET+Nonideal - MOSFET Circuit Example EECS 320...

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MOSFET Circuit Example
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EECS 320 MOSFET Nonideal
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Nonideal MOS-C Equilibrium configuration depends on metal and semiconductor work function E vac Metal Oxide Semiconductor q φ M q φ S E c E v E fi E f q φ MS φ M ≠ φ S
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Flat Band Condition E C E f E V MO S () + = = f C S M MS FB E E q V 1 χ φ Voltage needed for flat energy bands (analagous to V bi ) J. Singh, Semiconductor Devices: Basic Principles qV FB
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MOSFET Threshold Voltage NMOS = i A F n N q kT ln φ ox F A S F MS T C N q V ε 4 2 + + = MO S q φ F q φ s ox F D S F MS T C N q V 4 2 = ρ PMOS = i D F n N q kT ln Need to also account for oxide and interface charges, if present
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Oxide Charge Charge in oxide changes V T Oxide Semi Gate Oxide Metal Silicon x ρ x x 1 = dA E A Q ox ox ox ε 1 0 1 1 x qN x Q dx E V ox f x ox ox ox T = = = E x Largest effect when x 1 =x ox Oxide charge lowers V FB
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Oxide Charge
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16+-+MOSFET+Nonideal - MOSFET Circuit Example EECS 320...

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