Title :
A deterministic Boltzmann equation solver for two-dimensional semiconductor devices
Author :
Hong, Sung-Min ; Jungemann, Christoph ; Bollhöfer, Matthias
Author_Institution :
EIT4, Bundeswehr Univ., Neubiberg
Abstract :
We have developed a Boltzmann equation solver for two-dimensional (2D) semiconductor devices based on the spherical harmonics expansion and the maximum entropy dissipation scheme for stabilization. The large system of equations is partitioned according to the order of the spherical harmonics and solved by a memory efficient blockwise Gauss-Seidel method. Results are presented for a 2D NPN Si bipolar junction transistor.
Keywords :
Boltzmann equation; bipolar transistors; elemental semiconductors; iterative methods; semiconductor devices; silicon; stability; 2D NPN silicon bipolar junction transistor; 2D semiconductor devices; Gauss-Seidel method; Si; deterministic Boltzmann equation solver; maximum entropy dissipation; spherical harmonics expansion; stabilization; Boltzmann equation; Distribution functions; Electrostatics; Entropy; Gaussian processes; Interpolation; Mathematics; Monte Carlo methods; Semiconductor devices; Tensile stress;
Conference_Titel :
Simulation of Semiconductor Processes and Devices, 2008. SISPAD 2008. International Conference on
Conference_Location :
Hakone
Print_ISBN :
978-1-4244-1753-7
DOI :
10.1109/SISPAD.2008.4648295
