LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
Multiscale simulation of transport in an open quantum system: Resonances and WKB interpolation
Journal of Computational Physics
A parallel hybrid banded system solver: the SPIKE algorithm
Parallel Computing - Parallel matrix algorithms and applications (PMAA'04)
An accelerated algorithm for 2D simulations of the quantum ballistic transport in nanoscale MOSFETs
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
Journal of Computational Physics
Mathematics and Computers in Simulation
Quantum ballistic transport in the junctionless nanowire pinch-off field effect transistor
Journal of Computational Electronics
Hi-index | 31.48 |
The modeling of ballistic quantum transport in ultimate size semiconductor devices usually involves a self-consistent solution between the Schrodinger and the Poisson equations. In the 2D or 3D real space, this procedure requires huge computer resources to obtain the I-V characteristics. The general approach proposed in this article relies on the decomposition of the wave function on subband eigenfunctions, which account for the confinement of the electrons in the whole structure. The method can be applied to study large 2D and 3D real systems with a drastic reduction of the numerical cost, since the dimension of the transport problem for the Schrodinger equation is now reduced in real space. The results obtained for the 2D nanoscale MOSFETs show the efficiency of the algorithm and allow to estimate the effects of the coupling between the subbands. The asymptotic approach of the subband decomposition is also presented for devices showing a strong confinement for the electron gas as the 3D electron waveguide devices.