A second-order finite volume scheme for three dimensional truncated pyramidal quantum dot

Weichung Wang, Tsung Min Hwang, Jia Chuan Jang

研究成果: 雜誌貢獻文章同行評審

12 引文 斯高帕斯(Scopus)

摘要

Three dimensional truncated pyramidal quantum dots are simulated numerically to compute the energy states and the wave functions. The simulation of the hetero-structures is realized by using a novel finite volume scheme to solve the Schrödinger equation. The simulation benefits greatly from the finite volume scheme in threefold. Firstly, the BenDaniel-Duke hetero-junction interface condition is ingeniously embedded into the scheme. Secondly, the scheme uses uniform meshes in discretization and leads to simple computer implementation. Thirdly, the scheme is efficient as it achieves second-order convergence rates over varied mesh sizes. The scheme has successfully computed all the confined energy states and visualized the corresponding wave functions. The results further predict the relation of the energy states and wave functions versus the height of the truncated pyramidal quantum dots.

原文英語
頁(從 - 到)371-385
頁數15
期刊Computer Physics Communications
174
發行號5
DOIs
出版狀態已發佈 - 2006 三月 1

ASJC Scopus subject areas

  • Hardware and Architecture
  • Physics and Astronomy(all)

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