Mathematical modeling of semiconductor quantum dots based on the nonparabolic effective-mass approximation
DOI10.2478/nsmmt-2012-0005zbMath1273.65162OpenAlexW2101692534MaRDI QIDQ2852189
Publication date: 8 October 2013
Published in: Nanoscale Systems: Mathematical Modeling, Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/nsmmt-2012-0005
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Statistical mechanics of semiconductors (82D37) Finite difference methods for boundary value problems involving PDEs (65N06) Quantum dots, waveguides, ratchets, etc. (81Q37)
Related Items (2)
Uses Software
Cites Work
- A numerical method for exact diagonalization of semiconductor quantum dot model
- A model for semiconductor quantum dot molecule based on the current spin density functional theory
- Self-consistent-field calculations using Chebyshev-filtered subspace iteration
- Block Krylov-Schur method for large symmetric eigenvalue problems
- State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems
- A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation
- Rapid solution of integral equations of classical potential theory
- Computational experience with sequential and parallel, preconditioned Jacobi--Davidson for large, sparse symmetric matrices
- Numerical methods for semiconductor heterostructures with band nonparabolicity
- Fixed-point methods for a semiconductor quantum dot model
- A fast adaptive multipole algorithm in three dimensions
- Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
- Backward error and condition of polynomial eigenvalue problems
- Iterative projection methods for computing relevant energy states of a quantum dot
- Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
- Fast Algorithms for Classical Physics
- Quantum Computation
- Jacobi–Davidson methods for cubic eigenvalue problems
- A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix
- The Davidson Method
- Templates for the Solution of Algebraic Eigenvalue Problems
- A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
- Electron energy level calculations for cylindrical narrow gap semiconductor quantum dot
This page was built for publication: Mathematical modeling of semiconductor quantum dots based on the nonparabolic effective-mass approximation
