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VLSI Design
Volume 8 (1998), Issue 1-4, Pages 413-417

New “Irreducible Wedge” for Scattering Rate Calculations in Full-Zone Monte Carlo Simulations

Department of Electrical Engineering, University of Maryland, College Park 20742, MD, USA

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


To facilitate the implementation of accurate Brillouin zone integration codes for diamond-type semiconductors such as Si we have constructed a new “irreducible wedge” to be used in conjunction with tetrahedral k-space interpolations. This new wedge, defined by the vertices (000), (100), (110) and (121212) (normalized to |X|=1), spans portions of the first three Brillouin zones and contains the equivalent of 1/48 of a Brillouin zone volume. Simple symmetry arguments may be used to establish the equivalency of this new wedge with the standard irreducible wedge.