Energy states of vertically aligned quantum dot array with nonparabolic effective mass

DOI10.1016/j.camwa.2005.01.004zbMath1070.81041OpenAlexW2047176684MaRDI QIDQ2485418

Tsung-Min Hwang, Wei-Chung Wang

Publication date: 4 August 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.01.004

zbMATH Keywords

Schrödinger equationCubic Jacobi-Davidson methodEnergy levelsMatrix reductionCubic large-scale eigenvalue problemsSemiconductor quantum dot array

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalues, singular values, and eigenvectors (15A18) Statistical mechanics of semiconductors (82D37) Computational methods for problems pertaining to quantum theory (81-08) Statistical mechanics of solids (82D20)

Related Items (3)

Numerical schemes for three-dimensional irregular shape quantum dots over curvilinear coordinate systems ⋮ A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation ⋮ A second-order finite volume scheme for three dimensional truncated pyramidal quantum dot

Cites Work

• Calculation of induced electron states in three-dimensional semiconductor artificial molecules
• Numerical methods for semiconductor heterostructures with band nonparabolicity
• Fixed-point methods for a semiconductor quantum dot model
• A note on finite difference discretizations for Poisson equation on a disk
• Optimal minimax algorithm for integrating fast oscillatory functions in two dimensions
• Analyzing and visualizing a discretized semilinear elliptic problem with Neumann boundary conditions
• Modeling quantum structures with the boundary element method
• Electron energy level calculations for cylindrical narrow gap semiconductor quantum dot

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