In state of the art devices, it is well known that quantum and Coulomb effects play significant role on the device operation. In this paper we demonstrate that a novel effective potential approach in conjunction with a Monte Carlo device simulation scheme can accurately capture the quantummechanical size quantization effects. We also demonstrate, via proper treatment of the short-range Coulomb interactions, that there will be significant variation in device design parameters for devices

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... ed on the same chip due to the presence of unintentional dopant atoms at random locations within the channel.