Deterministic solvers for the Boltzmann transport equation of 3D and quasi-2D electron and hole systems in SiGe devices
作者： C. Jungemann , A.-T. Pham , S.-M. Hong , L. Smith , B. Meinerzhagen
DOI: 10.1016/J.SSE.2013.02.034
关键词: Monte Carlo method 、 Rare events 、 Pauli exclusion principle 、 Schrödinger equation 、 Space (mathematics) 、 Noise (electronics) 、 Statistical physics 、 Physics 、 Figure of merit 、 Boltzmann equation
摘要: Abstract We present a review of recent advances in deterministic solvers for the Boltzmann transport equation electrons and holes 3D quasi 2D k → -space demonstrate capabilities by two new examples: THz SiGe HBT quantum well PMOSFET. Compared to standard approach, Monte Carlo method, these have certain advantages. They yield exact stationary solutions they allow small-signal noise analysis directly frequency range from 0 THz. Inclusion magnetic fields, Pauli principle or rare events causes no problems. Thus, it is now possible calculate key figures merit devices based on equation, which was previously very difficult not at all. On other hand, are more memory intensive code than method.
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H. Kosina, M. Harrer, P. Vogl, S. Selberherr, A Monte Carlo Transport Model Based on Spherical Harmonics Expansion of the Valence Bands Springer, Vienna. pp. 396- 399 ,(1995) , 10.1007/978-3-7091-6619-2_96
Christoph Jungemann, Bernd Meinerzhagen, A Frequency Domain Spherical Harmonics Solver for the Langevin Boltzmann Equation AIP Conference Proceedings. ,vol. 780, pp. 777- 782 ,(2005) , 10.1063/1.2036864
Carlo Jacoboni, Paolo Lugli, The Monte Carlo Method for Semiconductor Device Simulation ,(1989)
J. W. Eastwood, R. W. Hockney, Computer simulation using particles ,(1966)
Neil Goldsman, Chung-Kai Lin, Zhiyi Han, Chung-Kuang Huang, Advances in the Spherical Harmonic-Boltzmann-Wigner approach to device simulation Superlattices and Microstructures. ,vol. 27, pp. 159- 175 ,(2000) , 10.1006/SPMI.1999.0810
Christoph Jungemann, Sung-Min Hong, Bernd Meinerzhagen, Anh-Tuan Pham, Deterministic simulation of 3D and quasi-2D electron and hole systems in SiGe devices 2012 Proceedings of the European Solid-State Device Research Conference (ESSDERC). pp. 318- 321 ,(2012) , 10.1109/ESSDERC.2012.6343397
J Bude, R Kent Smith, Phase-space simplex Monte Carlo for semiconductor transport Semiconductor Science and Technology. ,vol. 9, pp. 840- 843 ,(1994) , 10.1088/0268-1242/9/5S/119
S.-M. Hong, C. Jungemann, A fully coupled scheme for a Boltzmann-Poisson equation solver based on a spherical harmonics expansion Journal of Computational Electronics. ,vol. 8, pp. 225- 241 ,(2009) , 10.1007/S10825-009-0294-Y
John Michael Hammersley, Monte Carlo methods ,(1964)
C. Jungemann, A. T. Pham, B. Meinerzhagen, C. Ringhofer, M. Bollhöfer, Stable discretization of the Boltzmann equation based on spherical harmonics, box integration, and a maximum entropy dissipation principle Journal of Applied Physics. ,vol. 100, pp. 024502- ,(2006) , 10.1063/1.2212207