caa a22 4500 445820365 CHVBK 20180317145242.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10825-011-0366-7 doi (NATIONALLICENCE)springer-10.1007/s10825-011-0366-7 Component mode synthesis approaches for quantum mechanical electrostatic analysis of nanoscale devices [Elektronische Daten] [H. Li, G. Li] In this paper, two component mode synthesis (CMS) approaches, namely, the fixed interface CMS approach and the free interface CMS approach, are presented and compared for an efficient solution of 2-D Schrödinger-Poisson equations for quantum-mechanical electrostatic analyses of nanostructures and devices with arbitrary geometries. In the CMS approaches, a nanostructure is divided into a set of substructures or components and the eigenvalues (energy levels) and eigenvectors (wave functions) are computed first for all the substructures. The computed wave functions are then combined with constraint or attachment modes to construct a transformation matrix. By using the transformation matrix, a reduced-order system of the Schrödinger equation is obtained for the entire nanostructure. The global energy levels and wave functions can be obtained with the reduced-order system. Through an iteration procedure between the Schrödinger and Poisson equations, a self-consistent solution for charge concentration and potential profile can be obtained. Numerical calculations show that both CMS approaches can largely reduce the computational cost. The free interface CMS approach can provide significantly more accurate results than the fixed interface CMS approach with the same number of retained wave functions in each component. However, the fixed interface CMS approach is more efficient than the free interface CMS approach when large degrees of freedom are included in the simulation. Springer Science+Business Media LLC, 2011 Quantum mechanical electrostatic analysis nationallicence Component mode synthesis nationallicence Schrodinger-Poisson nationallicence Nano device electrostatics nationallicence Li H. Department of Mechanical Engineering, Clemson University, 29634, Clemson, SC, USA aut Li G. Department of Mechanical Engineering, Clemson University, 29634, Clemson, SC, USA aut Journal of Computational Electronics Springer US; http://www.springer-ny.com 10/3(2011-09-01), 300-313 1569-8025 10:3<300 2011 10 10825 https://doi.org/10.1007/s10825-011-0366-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10825-011-0366-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li H. Department of Mechanical Engineering, Clemson University, 29634, Clemson, SC, USA aut NATIONALLICENCE 700 1- Li G. Department of Mechanical Engineering, Clemson University, 29634, Clemson, SC, USA aut NATIONALLICENCE 773 0- Journal of Computational Electronics Springer US; http://www.springer-ny.com 10/3(2011-09-01), 300-313 1569-8025 10:3<300 2011 10 10825 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer