Abstract
This paper presents a methodology for calculating silicon nanowire (SiNW) bandstructures on parallel machines. A partition scheme is developed through domain decomposition and loading balance is considered for scheduling jobs on machines with different efficiencies. Using sp 3 d 5 s * tight-binding model, the Hamiltonian matrix of the SiNW is constructed and its eigenvalues are extracted with the Implicitly Restarted Arnoldi Method. Parallel calculation performance is tested on identical machines finally and a linear speedup is gained as the number of nodes increases.
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Cui, Y., Zhong, Z., Wang, D., Wang, W.U., Lieber, C.M.: High Performance Silicon Nanowire Field Effect Transistors. Nano Lett. 3, 149–152 (2003)
Ma, D.D.D., Lee, C.S., Au, F.C.K., Tong, S.Y., Lee, S.T.: Small-Diameter Silicon Nanowire Surfaces. Science, 1874–1876 (2003)
Zhao, X., Wei, C., Yang, L., Chou, M.Y.: Quantum Confinement and Electronic Properties of Silicon Nanowires. Phys. Rev. Lett. 92, 236805 (2004)
Ko, Y.J., Shin, M., Lee, S., Park, K.W.: Effects of Atomistic Defects on Coherent Electron Transmission in Si Nanowires: Full Band Calculations. J. Appl. Phys. 89, 374–380 (2001)
Jancu, J.-M., Scholz, R., Beltram, F., Bassani, F.: Empirical spds * Tight-binding Calculation for Cubic Semiconductors: General Method and Material Marameters. Phys. Rev. B. 57, 6493–6507 (1998)
Guan, X., Yu, Z.: Supercell Approach in Tight-Binding Calculation of Si and Ge Nanowire Bandstructures. Chin. Phys. Lett. 22, 2651–2654 (2005)
Snir, M., Otto, S.W., Lederman, S.H., Walker, D.W., Dongarra, J.: MPI The complete Reference. The MIT Press Cambridge, Massachussets (1996)
Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms, 2nd edn. The MIT Press, Massachussets (2001)
Brucker, P., Knust, S.: Complexity Results of Scheduling Problems, http://www.mathematik.uni-osnabrueck.de/research/OR/class
Dessouky, M.I., Lageweg, B.J., Lenstra, J.K., van de Velde, S.L.: Scheduling Identical Jobs on Uniform Parallel Machines. Statist. Neerlandica 44, 115–123 (1990)
Yu, P.Y., Cadona, M.: Fundamentals of Semicondutors: Physics and Materials Properties, 3rd edn. Springer, New York (2001)
Lehoucq, R., Maschhof, K.,Sorensen, D., Yang, C.: ARPACK, http://www.cs.ucdavis.edu/bai/ET/arnoldi_methods/overview_ARPACK.html
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Li, T., Guan, X., Yu, Z., Xue, W. (2006). Computation of Si Nanowire Bandstructures on Parallel Machines Through Domain Decomposition. In: Alexandrov, V.N., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science – ICCS 2006. ICCS 2006. Lecture Notes in Computer Science, vol 3991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11758501_37
Download citation
DOI: https://doi.org/10.1007/11758501_37
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34379-0
Online ISBN: 978-3-540-34380-6
eBook Packages: Computer ScienceComputer Science (R0)