In this brief, the influence of the back-gate biasing, V <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">bg</sub> , on the electron mobility of Si trigates on ultrathin buried oxide is studied, using state of the art scattering models for 2-D confined devices. The variation of the back-gate influence with the device size is analyzed and explained addressing to the charge redistribution in the channel. The lower confinement of larger devices results in strong changes in the electron mobility as V <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">bg</sub> is modified, contrary to what is observed in smaller devices. The charge redistribution due to V <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">bg</sub> also affects the relative influence of the interface walls, which is analyzed in depth. The impact on the mobility of the main scattering mechanisms as a function of V <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">bg</sub> is also discussed.
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