Title :
Improving the accuracy of the Schrödinger-Poisson solution in CNWs and CNTs
Author :
Rudan, M. ; Gnudi, A. ; Gnani, E. ; Reggiani, S. ; Baccarani, G.
Author_Institution :
Dept. of Electron. (DEIS), Univ. of Bologna, Bologna, Italy
Abstract :
The Schrödinger equation, or the coupled Schrödinger and Poisson equations, are transformed into an integral equation. Back-substituting from the original equations allows one to approximate the numerical corrections to any order without the need of calculating derivatives of the unknown function of order larger than one. Typical applications are in the numerical analysis of quantum transport in nanowires and nanotubes in the ballistic regime.
Keywords :
Poisson equation; Schrodinger equation; approximation theory; ballistic transport; carbon nanotubes; function approximation; integral equations; nanowires; quantum interference phenomena; quantum wires; C; Poisson equation; Schrödinger equation; back-substitution; ballistic regime; carbon nanotubes; carbon nanowires; coupled Schrödinger-Poisson solution; integral equation; numerical analysis; numerical corrections approximation; quantum transport; Accuracy; Boundary conditions; Equations; Lead; Mathematical model; Poisson equations; Potential energy;
Conference_Titel :
Simulation of Semiconductor Processes and Devices (SISPAD), 2010 International Conference on
Conference_Location :
Bologna
Print_ISBN :
978-1-4244-7701-2
Electronic_ISBN :
1946-1569
DOI :
10.1109/SISPAD.2010.5604497
