AN EFFECTIVE MASS MODEL FOR THE SIMULATION OF ULTRA-SCALED CONFINED DEVICES

DOI10.1142/S021820251250039XzbMath1256.35096MaRDI QIDQ4649859

Clément Jourdana, Paola Pietra, Naoufel Ben Abdallah

Publication date: 15 November 2012

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Schrödinger-Poisson systemcarbon nanotubenanotransistorseffective mass approximationstrong confinementenvelope function decomposition

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of semiconductors (82D37) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (2)

Hybrid coupling of a one-dimensional energy-transport Schrödinger system ⋮ A quantum drift-diffusion model and its use into a hybrid strategy for strongly confined nanostructures

Uses Software

• PETSc
• ARPACK

Cites Work

• ARPACK
• Analysis of a diffusive effective mass model for nanowires
• An effective mass theorem for the bidimensional electron gas in a strong magnetic field
• Quantum transport in crystals: Effective mass theorem and k\(\cdot\)p Hamiltonians
• Subband decomposition approach for the simulation of quantum electron transport in nanostructures
• An accelerated algorithm for 2D simulations of the quantum ballistic transport in nanoscale MOSFETs
• On a one-dimensional Schrödinger-Poisson scattering model
• Adiabatic perturbation theory in quantum dynamics
• Homogenization of the Schrödinger equation and effective mass theorems
• Finite element approximation of electrostatic potential in one dimensional multilayer structures with quantized electronic charge
• Mathematical analysis of the two-band Schrödinger model
• Semi-classical limits in a crystal with exterior potentials and effective mass theorems.
• ARPACK Users' Guide
• Effective Mass Theorems for Nonlinear Schrödinger Equations
• Motion of Electrons and Holes in Perturbed Periodic Fields

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