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A parallel 3D Monte Carlo (MC) simulator designed to work on unstructured tetrahedral elements has been developed for the simulations of nano-MOSFETs. The 3D MC code is tested by the simulating a 10 nm gate length double gate (DG) MOSFET with a body thickness of 6.1 nm. We investigate in this device architecture the magnitude of the self-force arising because of the use of tetrahedral elements for the device mesh. Finally, the quantum corrections using density gradient approach are described and applied to a simulation of a 40 nm gate length TriGate MOSFET with a HfO2 gate stack.