Volume 4, Issue 5
Stationary and Transient Simulations for a One-Dimensional Resonant Tunneling Diode

Xin Hu, Shaoqiang Tang & Maxime Leroux

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Commun. Comput. Phys., 4 (2008), pp. 1034-1050.

Published online: 2008-11

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  • Abstract

We investigate the validity of stationary simulations for semiconductor quantum charge transport in a one-dimensional resonant tunneling diode via fluid type models. Careful numerical investigations to a quantum hydrodynamic model reveal that the transient simulations do not always converge to the steady states. In particular, growing oscillations are observed at relatively large applied voltage. A dynamical bifurcation is responsible for the stability interchange of the steady state. Transient and stationary computations are also performed for a unipolar quantum drift-diffusion model.

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@Article{CiCP-4-1034, author = {}, title = {Stationary and Transient Simulations for a One-Dimensional Resonant Tunneling Diode}, journal = {Communications in Computational Physics}, year = {2008}, volume = {4}, number = {5}, pages = {1034--1050}, abstract = {

We investigate the validity of stationary simulations for semiconductor quantum charge transport in a one-dimensional resonant tunneling diode via fluid type models. Careful numerical investigations to a quantum hydrodynamic model reveal that the transient simulations do not always converge to the steady states. In particular, growing oscillations are observed at relatively large applied voltage. A dynamical bifurcation is responsible for the stability interchange of the steady state. Transient and stationary computations are also performed for a unipolar quantum drift-diffusion model.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7826.html} }
TY - JOUR T1 - Stationary and Transient Simulations for a One-Dimensional Resonant Tunneling Diode JO - Communications in Computational Physics VL - 5 SP - 1034 EP - 1050 PY - 2008 DA - 2008/11 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7826.html KW - AB -

We investigate the validity of stationary simulations for semiconductor quantum charge transport in a one-dimensional resonant tunneling diode via fluid type models. Careful numerical investigations to a quantum hydrodynamic model reveal that the transient simulations do not always converge to the steady states. In particular, growing oscillations are observed at relatively large applied voltage. A dynamical bifurcation is responsible for the stability interchange of the steady state. Transient and stationary computations are also performed for a unipolar quantum drift-diffusion model.

Xin Hu, Shaoqiang Tang & Maxime Leroux. (2020). Stationary and Transient Simulations for a One-Dimensional Resonant Tunneling Diode. Communications in Computational Physics. 4 (5). 1034-1050. doi:
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