A robust numerical method for self-polarization energy of spherical quantum dots with finite confinement barriers

Computer Physics Communications

Volumn 181, Issue 4, 2010, Pages 787-799

  Deng, Shaozhong ^a  

^a UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

Author keywords

Dielectric mismatch; Poisson equation; Quantum dot; Self polarization energy

Indexed keywords

APPROXIMATION METHODS; CONFINED EXCITONS; CONFINEMENT BARRIERS; DIELECTRIC INTERFACE; DIELECTRIC MISMATCH; FINITE SIZE; NUMERICAL EXPERIMENTS; POLARIZATION ENERGY; QUANTUM DOT; SEMICONDUCTOR NANOCRYSTALS; SPHERICAL QUANTUM DOT; SURROUNDING MATRIX; THREE-LAYER DIELECTRICS; THREE-LAYER MODELS;

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; NUMBER THEORY; OPTICAL WAVEGUIDES; POISSON DISTRIBUTION; POISSON EQUATION; POLARIZATION; SPHERES;

SEMICONDUCTOR QUANTUM DOTS;

EID: 75749095112     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2009.12.011     Document Type: Article

References (22)

1. Borovitskaya E., and Shur M.S. Quantum Dots (2002), World Scientific, Singapore
2. Jacak A.W.L., and Hawrylak P. Quantum Dots (1998), Springer, Berlin
3. Woggon U. Optical Properties of Semiconductor Quantum Dots (1996), Springer, Berlin
4. Jackson J.D. Classical Electrodynamics (1962), Wiley, New York
5. Brus L.E. Electron-electron and electron-hole interactions in small semiconductor crystallites: the size dependence of the lowest excited electronic state. J. Chem. Phys. 80 (1984) 4403-4409
6. Lannoo M., Delerue C., and Allan G. Screening in semiconductor nanocrystallites and its consequences for porous silicon. Phys. Rev. Lett. 74 (1995) 3415-3418
7. Bolcatto P.G., and Proetto C.R. Partially confined excitons in semiconductor nanocrystals with a finite size dielectric interface. J. Phys. Condens. Matter 13 (2001) 319-334
8. Stern F. Image potential near a gradual interface between two dielectrics. Phys. Rev. B 17 (1978) 5009-5015
9. Tran Thoai D.B., Zimmermann R., Grundmann M., and Bimberg D. Image charges in semiconductor quantum wells: effect on exciton binding energy. Phys. Rev. B 42 (1990) 5906-5909
10. Bányai L., Gilliot P., Hu Y.Z., and Koch S.W. Surface-polarization instabilities of electron-hole pairs in semiconductor quantum dots. Phys. Rev. B 45 (1992) 14136-14142
11. Bolcatto P.G., and Proetto C.R. Self-polarization energies of semiconductor quantum dots with finite confinement barriers. Phys. Stat. Sol. 220 (2000) 191-194
12. Movilla J.L., and Planelles J. Image charges in spherical quantum dots with an off-centered impurity: algorithm and numerical results. Comput. Phys. Commun. 170 (2005) 144-152
13. Qin P., Xu Z., Cai W., and Jacobs D. Image charge methods for a three-dielectric-layer hybrid solvation model of biomolecules. Commun. Comput. Phys. 6 (2009) 955-977
14. Okur A., and Simmerling C. Hybrid explicit/implicit solvation methods. In: Spellmeyer D.C. (Ed). Annu. Rep. Comput. Chem. vol. 2 (2006), Chemistry of the American Chemical Society 97-109 Ch. 6
15. Lee M.S., Salsbury F.R., and Olson M.A. An efficient hybrid explicit/implicit solvent method for biomolecular simulations. J. Comput. Chem. 25 (2004) 1967-1978
16. Lee M.S., and Olson M.A. Evaluation of Poisson solvation models using a hybrid explicit/implicit solvent method. J. Phys. Chem. B 109 (2005) 5223-5236
17. Kirkwood J.G. Theory of solutions of molecules containing widely separated charges with special applications to zwitterions. J. Chem. Phys. 2 (1934) 351-361
18. Sihvola A.H., and Lindell I.V. Polarizability and effective permittivity of layered and continuously inhomogeneous dielectric spheres. J. Electro. Waves Appl. 3 (1989) 37-60
19. Sihvola A.H., and Lindell I.V. Polarizability and effective permittivity of layered and continuously inhomogeneous dielectric ellipsoids. J. Electro. Waves Appl. 4 (1990) 1-26
20. Lindell I.V., Ermutlu M.E., and Sihvola A.H. Electrostatic image theory for layered dielectric sphere. IEE Proc.-H 139 (1992) 186-192
21. Sihvola A.H., and Lindell I.V. Transmission line analogy for calculating the effective permittivity of mixtures with spherical multilayer scatterers. J. Electro. Waves Appl. 2 (1988) 741-756
22. Movilla J.L., and Planelles J. Off-centering of hydrogenic impurities in quantum dots. Phys. Rev. B 71 (2005) 075319