Erratum to "Numerical simulation of three dimensional pyramid quantum dot" [J. Comput. Phys. 196 (2004) 208-232] (DOI:10.1016/j.jcp.2003.10.026);Numerical simulation of three dimensional pyramid quantum dot

Journal of Computational Physics

Volumn 196, Issue 1, 2004, Pages 208-232

  Hwang, Tsung Min ^a   Lin, Wen Wei ^b   Wang, Wei Cheng ^b   Wang, Weichung ^c  

^a NATIONAL TAIWAN NORMAL UNIVERSITY   (Taiwan)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^c NATIONAL UNIVERSITY OF KAOHSIUNG   (Taiwan)

Author keywords

Finite volume method; Heterostucture; Large scale polynomial eigenvalue problem; Schr dinger equation; Semiconductor pyramid quantum dot

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; JACOBIAN MATRICES; NANOCRYSTALS; NUMERICAL METHODS; SEMICONDUCTOR QUANTUM DOTS;

COMPUTATIONAL BOX; EFFICIENT NUMERICAL METHOD; FINITE-VOLUME METHOD; HETEROSTUCTURE; LARGE SCALE POLYNOMIAL EIGENVALUE PROBLEM; LARGE-SCALES; POLYNOMIAL EIGENVALUE PROBLEMS; SCHRÖDINGE EQUATION; SEMICONDUCTOR PYRAMID QUANTUM DOT; SIMPLE++;

FINITE VOLUME METHOD;

EID: 1942539329     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.11.001     Document Type: Erratum

References (44)

1. Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, H. van der Vorst, Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, SIAM, Philadelphia, 2000.
2. Z. Bai, G. Sleijpen, H. van der Vorst, Nonlinear eigenvalue problems, in: Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, H. van der Vorst (Eds.), Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, SIAM, Philadelphia, 2000 (Chapter 9).
3. G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures, John Wiley and Sons, New York, 1991.
4. G.L. Bir, G.E. Pikus, Symmetry and Strain-Induced Effects in Semiconductors, Wiley, New York, 1974.
5. J. Bramble, J. King, A finite element method for interface problems in domains with smooth boundaries and interfaces, Adv. Comput. Math. 6 (1996) 109-138.
6. G. Burkard, D. Loss, D.P. DiVincenzo, Couple quantum dots as quantum gates, Phys. Rev. B 59 (1999) 2070-2078.
7. Z. Chen, J. Zou, Finite element methods and their convergence for elliptic and parabolic interface problems, Numer. Math. 79 (1998) 175-202.
8. S. Chuang, Physics of Optoelectronic Devices, Wiley, New York, 1995.
9. M.A. Cusack, P.R. Briddon, M. Jaros, Electronic structure of InAs/GaAs self-assembled quantum dots, Phys. Rev. B 54 (1996) 2300-2303.
10. D. El-Moghraby, R.G. Johnson, P. Harrison, Calculating modes of quantum wire and dot systems using a finite differencing technique, Comp. Phys. Commun. 150 (2003) 235-246.
11. R. Ewing, Z. Li, T. Lin, Y. Lin, The immersed finite volume element methods for the elliptic interface problems, Math. Comput. Simul. 50 (1999) 63-76.
12. L.R.C. Fonseca, J.L. Jimenez, J.P. Leburton, Electronic coupling in InAs/GaAs self-assembled stacked double-quantum-dot systems, Phys. Rev. B 58 (1998) 9955-9960.
13. L.R.C. Fonseca, J.L. Jimenez, J.P. Leburton, Erratum: electronic coupling in InAs/GaAs self-assembled stacked double-quantum-dot systems, Phys. Rev. B 58 (1998) 9955-9960 [Phys. Rev. B 58 (1998) 9955].
14. L.R.C. Fonseca, J.L. Jimenez, J.P. Leburton, R. Martin, Self-consistent calculation of the electronic structure and electron-electron interaction in self-assembled InAs-GaAs quantum dot structures, Phys. Rev. B 57 (1998) 4017-4026.
15. J.W. Gray, D. Childs, S. Malik, P. Siverns, C. Roberts, P.N. Stavrinou, M. Whitehead, R. Murray, G. Parry, Quantum dot resonant cavitylight emitting diode operating near 1300 nm, Electron. Lett. 35 (1999) 242.
16. L. Harris, D.J. Mowbray, M.S. Skolnick, M. Hopkinson, G. Hill, Emission spectra and mode structure of InAs/GaAs self-organized quantum dot lasers, Appl. Phys. Lett. 73 (1998) 969-971.
17. P. Harrison, Quantum Wells, Wires, and Dots: Theoretical and Computational Physics, John Wiley & Sons, New York, 2000.
18. R. Heitz, M. Veit, N.N. Ledentsov, A. Hoffmann, D. Bimberg, V.M. Ustinov, P.S. Kopév, Z.I. Alferov, Energy relaxation by multiphonon processes in InAs/GaAs quantum dots, Phys. Rev. B 56 (1997) 10435-10445.
19. M.E. Hochstenbach, H.A. van der Vorst, Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem, Technical Report 1212, Department of Mathematics, University of Utrecht, P.O. Box 80.010, NL-3508 TA Utrecht, The Netherlands, 2001.
20. Y.-L. Hwang, W.-C. Wang. A monotone jump condition capturing scheme for elliptic interface problems on arbitrary domains, Preprint.
21. G. Iannaccone, A. Trellakis, U. Ravaioli, Simulation of a quantum-dot flash memory, J. Appl. Phys. 84 (9) (1998) 5032-5036.
22. L. Jacak, P. Hawrylak, A. Wójs, Quantum Dots, Springer, Berlin, 1998.
23. T.Z. Kalamboukis, Davidson's algorithm with and without perturbation corrections, J. Phys. A: Math. General 13 (1) (1980) 57-62.
24. R.B. Lehoucq, K. Meerbergen, Using generalized Cayley transformations within an inexact rational krylov sequence method, SIAM J. Matrix Anal. Appl. 20 (1998) 131-148.
25. R.J. LeVeque, Z. Li, Immersed interface methods for stokes flow with elastic boundaries or surface tension, SIAM J. Sci. Comput. 18 (1997) 709-735.
26. Y. Li, J. Liu, O. Voskoboynikov, C.P. Lee, S.M. Sze, Electron energy level calculations for cylindrical narrow gap semiconductor quantum dot, Comput. Phys. Commun. 140 (2001) 399-404.
27. Y. Li, O. Voskoboynikov, C.P. Lee, S.M. Sze, Computer simulation of electron energy levels for different shape InAs/GaAs semiconductor quantum dots, Comput. Phys. Commun. (141) (2001) 66-72.
28. S. Maimon, E. Finkman, G. Bahir, S.E. Schacham, J.M. Garcia, P.M. Petroff, Intersublevel transitions in InAs/GaAs quantum dots infrared photodetectors, Appl. Phys. Lett. 73 (1998) 2003-2005.
29. G. Medeiros-Ribeiro, J.M. Garcia, P.M. Petroff, Charging dynamics of InAs self-assembled quantum dots, Phys. Rev. B 56 (1997) 3609-3612.
30. K. Meerbergen, Locking and restarting quadratic eigenvalue solvers, SIAM J. Sci. Comput. 22 (5) (2001) 1814-1839.
31. R.B. Morgan, D.S. Scott, Generalizations of Davidson's method for computing eigenvalues of sparse symmetric matrices, SIAM J. Sci. Stat. Comput. 7 (3) (1986) 817-825.
32. F.M. Peeters, V.A. Schweigert, Two-electron quantum disks, Phys. Rev. B 53 (1996) 1468-1474.
33. C. Pryor, Eight-band calculations of strained InAs/GaAs quantum dots compared with one-, four-, and six-band approximations, Phys. Rev. B 57 (1998) 7190-7195.
34. A. Ruhe, The rational krylov: a practical algorithm for large sparse nonsymmetric matrix pencils, SIAM J. Sci. Comput. 19 (1998) 1535-1551.
35. A. Ruhe, The rational krylov algorithm for nonsymmetric eigenvalue problems, III: complex shifts for real matrices, BIT 34 (1994) 165-176.
36. J. Shumway, L.R.C. Fonseca, J.P. Leburton, R.M. Martin, D.M. Ceperley, Electronic structure of self-assembled quantum dots: comparison between density functional theory and diffusion quantum monte carlo, Physica E 8 (2000) 260-268.
37. G.L.G. Sleijpen, A.G.L. Booten, D.R. Fokkema, H.A. van der Vorst, Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems, BIT 36 (3) (1996) 595-633.
38. G.L.G. Sleijpen, H.A. van der Vorst, A Jacobi-Davidson iteration method for linear eigenvalue problems, SIAM J. Matrix Anal. Appl. 17 (2) (1996) 401-425.
39. G.L.G. Sleijpen, H.A. van der Vorst, M. van Gijzen, Quadratic eigenproblems are no problem, SIAM News 29 (1996) 8-9.
40. J. Stoer, R. Bulirsch, Introduction to Numerical Analysis, Springer Verlag, Berlin, 2002.
41. The MathWorks, Inc., Using MATLAB., 2000.
42. F. Tisseur, Backward error analysis of polynomial eigenvalue problems, Linear Algebra Appl. 309 (2000) 339-361.
43. W. Wang, T.-M. Hwang, W.-W. Lin, J.-L. Liu, Numerical methods for semiconductor hetrostructures with band nonparabolicity, Journal of Computational Physics 190 (2003) 141-158.
44. A.J. Williamson, A. Zunger, InAs quantum dots: predicted electronic structure of free-standing versus GaAs-embedded structures, Phys. Rev. B 59 (1999) 15819-15824.