Coordinate Systems and Systems of Equation
A device simulator for nanoscale strained SiGe double gate PMOSFETs based on the self-consistent solution of the 1D SE, 2D PE, and multi subband 1D BTE is developed, which is applicable for arbitrary crystallographic orientations and arbitrary channel dir
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Edited by
Siegfried Selberherr Technical University Vienna Vienna, Austria
For further volumes: www.springer.com/series/1263
Sung-Min Hong Anh-Tuan Pham Christoph Jungemann
Deterministic Solvers for the Boltzmann Transport Equation
Sung-Min Hong Device Laboratory Samsung Information Systems America, Inc. 75 West Plumeria Drive San Jose, CA 95134 USA [email protected]
Anh-Tuan Pham Institut f¨ur Elektronische Bauelemente und Schaltungstechnik TU Braunschweig Postfach 3329 38023 Braunschweig Germany [email protected]
Christoph Jungemann Institut f¨ur Theoretische Elektrotechnik RWTH Aachen University Templergraben 55 52056 Aachen, Germany [email protected]
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Preface
In this book the research of the last decade by the authors regarding deterministic solvers for the Boltzmann transport equation is summarized. The work was started by the third author, who was interested in electronic noise of semiconductor devices. At first glance the use of a deterministic solver seems to be strange, because all groups working at that time on noise in devices solved the Boltzmann transport equation with the stochastic Monte Carlo method, which inherently contains noise and was regarded as the best method to do so. But it soon became clear that the Monte Carlo method, which is also inherently transient, was too slow to calculate noise in the technically relevant frequency range with sufficient accuracy. A deterministic solver on the other hand could yield truly stationary solutions, and exact small-signal analysis could be performed directly in the frequency domain covering the full frequency range. Unfortunately, the deterministic solvers have not only advantages compared to the Monte Carlo method but also disadvantages. The biggest obstacle in the application of deterministic solvers was the huge memory requirement (about 100 GBytes for a realistic 2D device simulation including noise), which is by orders of magnitude larger than the one of the Monte Carlo method. This is the r
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