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A Hot-Hole Transport Model Based on Spherical Harmonics Expansion of the Anisotropic Bandstructure
Author(s) -
H. Kosina,
M. Harrer
Publication year - 1998
Publication title -
vlsi design
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.123
H-Index - 24
eISSN - 1065-514X
pISSN - 1026-7123
DOI - 10.1155/1998/83430
Subject(s) - brillouin zone , monte carlo method , spherical harmonics , coordinate system , harmonics , scattering , computational physics , anisotropy , physics , statistical physics , semiconductor , optics , quantum mechanics , mathematics , geometry , statistics , voltage
To represent the valence bands of cubic semiconductors a coordinate transformation is proposedsuch that the hole energy becomes an independent variable. This choice considerablysimplifies the evaluation of the integrated scattering probability and the choice of the stateafter scattering in a Monte Carlo procedure. In the new coordinate system, a numericallygiven band structure is expanded into a series of spherical harmonics. This expansion techniqueis capable of resolving details of the band structure at the Brillouin zone boundary andhence can span an energy range of several electron-volts. Results of a Monte Carlo simulationemploying the new band representation are shown

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