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In this paper, we demonstrate a Monte Carlo simulator for ambipolar Schottky barrier MOSFETs which includes tunneling and thermal emission of electrons and holes and the appropriate treatment of carrier transport at nano-scale. The ambipolar characteristic of SB MOSFETs is reproduced by this simulator. The four operation modes in both n and p SB MOSFETs are revealed. Based on these simulations, it is summarized that the tunneling at source side dominates the carrier transport.