Phase-space simplex Monte Carlo for semiconductor transport

We present a full band Monte Carlo algorithm based on phase-space simplexes which has all of the advantages of analytical band Monte Carlo while preserving the accuracy of a full band structure. An adaptive, contour-aligned grid represents the energy band structure within the irreducible wedge to within an arbitrary tolerance. This discretization allows exact treatment of the equations of motion and final state selection for a wide class of scattering mechanisms. Results using this method show at least an order of magnitude improvement in performance over previous full band codes.