The Multiscale Paradigm in Electronic Device Simulation

In this paper, we present a framework for the simulation of electronic devices based on a multiscale and multiphysics approach. A formal description is provided that includes both multiscale and multiphysics problems and which can be linked to already established multiscale methods. We present a set of simulations of an AlGaN/GaN nanocolumn based on a multiscale coupling between atomistic descriptions and continuous media models, illustrating the application of such a multiscale approach to electronic device simulation.

[1]  Jelena Ristic,et al.  Carrier-confinement effects in nanocolumnar GaN/AlxGa1-xN quantum disks grown by molecular-beam epitaxy , 2005 .

[2]  Shun Lien Chuang,et al.  k.p method for strained wurtzite semiconductors , 1996 .

[3]  Ted Belytschko,et al.  A bridging domain and strain computation method for coupled atomistic–continuum modelling of solids , 2007 .

[4]  A. J. Williamson,et al.  COMPARISON OF TWO METHODS FOR DESCRIBING THE STRAIN PROFILES IN QUANTUM DOTS , 1997, cond-mat/9711126.

[5]  Aldo Di Carlo,et al.  Elasticity theory of pseudomorphic heterostructures grown on substrates of arbitrary thickness , 2006 .

[6]  Charles M. Lieber,et al.  High Performance Silicon Nanowire Field Effect Transistors , 2003 .

[7]  N. Aluru,et al.  Multiscale electrostatic analysis of silicon nanoelectromechanical systems (NEMS) via heterogeneous quantum models , 2008 .

[8]  Ronald E. Miller,et al.  Atomistic/continuum coupling in computational materials science , 2003 .

[9]  Alex Zunger,et al.  PREDICTED BOND LENGTH VARIATION IN WURTZITE AND ZINC-BLENDE INGAN AND ALGAN ALLOYS , 1999 .

[10]  Charles M. Lieber,et al.  Core/multishell nanowire heterostructures as multicolor, high-efficiency light-emitting diodes. , 2005, Nano letters.

[11]  K. Kreher,et al.  Fundamentals of Semiconductors – Physics and Materials Properties , 1997 .

[12]  Robert E. Rudd,et al.  Concurrent Coupling of Length Scales in Solid State Systems , 2000 .

[13]  T. Hughes.  Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods , 1995 .

[14]  Christian Mailhiot,et al.  Theory of semiconductor superlattice electronic structure , 1990 .

[15]  T. Hou,et al.  Multiscale Finite Element Methods for Nonlinear Problems and Their Applications , 2004 .

[16]  Y. Niquet,et al.  Application of Keating's valence force field model to non-ideal wurtzite materials , 2010 .

[17]  Multiscale Materials Modelling : Fundamentals and Applications , 2007 .

[18]  P. N. Keating,et al.  Effect of Invariance Requirements on the Elastic Strain Energy of Crystals with Application to the Diamond Structure , 1966 .

[19]  Jason D. Monnell,et al.  Conductance Switching in Single Molecules Through Conformational Changes , 2001, Science.

[20]  Tomotsugu Shimokawa,et al.  Matching conditions in the quasicontinuum method: Removal of the error introduced at the interface between the coarse-grained and fully atomistic region , 2004 .

[21]  A. Carlo,et al.  Atomistic theory of transport in organic and inorganic nanostructures , 2004 .

[22]  J. Q. Broughton,et al.  Concurrent coupling of length scales: Methodology and application , 1999 .

[23]  Richard M. Martin,et al.  Elastic Properties of ZnS Structure Semiconductors , 1970 .

[24]  Olivier Coulaud,et al.  High performance multiscale simulation or crack propagation , 2006, 2006 International Conference on Parallel Processing Workshops (ICPPW'06).

[25]  Zhangxin Chen.  Finite Element Methods And Their Applications , 2005 .

[26]  A. Carlo.  TOPICAL REVIEW: Microscopic theory of nanostructured semiconductor devices: beyond the envelope-function approximation , 2003 .

[27]  Michel H. Devoret,et al.  Amplifying quantum signals with the single-electron transistor , 2000, Nature.

[28]  D. Kim,et al.  High-Brightness Light Emitting Diodes Using Dislocation-Free Indium Gallium Nitride/Gallium Nitride Multiquantum-Well Nanorod Arrays , 2004 .

[29]  T. Belytschko,et al.  A bridging domain method for coupling continua with molecular dynamics , 2004 .

[30]  Vicente Hernández,et al.  SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems , 2005, TOMS.

[31]  Efthimios Kaxiras,et al.  From Electrons to Finite Elements: A Concurrent Multiscale Approach for Metals , 2005, cond-mat/0506006.

[32]  Andrea L. Lacaita,et al.  Quantum-corrected drift-diffusion models for transport in semiconductor devices , 2005 .

[33]  Stephan W Koch,et al.  Physics of Optoelectronic Devices , 1995 .

[34]  J. Guermond,et al.  Theory and practice of finite elements , 2004 .

[35]  Benjamin S. Kirk,et al.  Library for Parallel Adaptive Mesh Refinement / Coarsening Simulations , 2006 .

[36]  Huijuan Zhao,et al.  Finite-temperature quasicontinuum method for multiscale analysis of silicon nanostructures , 2006 .