A finite element method with energy-adaptive grids for the coupled Schrödinger-Poisson-drift-diffusion model

DOI10.1016/j.jcp.2023.112528OpenAlexW4387374171MaRDI QIDQ6087959

Pengcong Mu, Weiying Zheng, Xinming Wu

Publication date: 16 November 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112528

zbMATH Keywords

finite element methoddrift-diffusion modelresonant tunneling diodeSchrödinger-Poisson modelenergy-adaptive grid

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Applications of statistical mechanics to specific types of physical systems (82Dxx) Ordinary differential operators (34Lxx)

Cites Work

• The WKB local discontinuous Galerkin method for the simulation of Schrödinger equation in a resonant tunneling diode
• Subband decomposition approach for the simulation of quantum electron transport in nanostructures
• On a one-dimensional Schrödinger-Poisson scattering model
• Quantum-corrected drift-diffusion models for transport in semiconductor devices
• A coupled Schrödinger drift-diffusion model for quantum semiconductor device simulations
• Multiscale simulation of transport in an open quantum system: Resonances and WKB interpolation
• On 1–dimensional dissipative Schrödinger–type operators their dilations and eigenfunction expansions
• On hybrid quantum–classical transport models
• A QUANTUM TRANSMITTING SCHRÖDINGER–POISSON SYSTEM
• Semiconductor Simulations Using a Coupled Quantum Drift‐Diffusion Schrödinger–Poisson Model
• Current Coupling of Drift-Diffusion Models and Schrödinger--Poisson Systems: Dissipative Hybrid Models

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