標題: A model for semiconductor quantum dot molecule based on the current spin density functional theory
作者: Liu, Jinn-Liang
Chen, Jen-Hao
Voskoboynikov, O.
應用數學系
電子工程學系及電子研究所
Department of Applied Mathematics
Department of Electronics Engineering and Institute of Electronics
關鍵字: density functional theory;cubic eigenvalue problem;Jacob-Davidson method
公開日期: 1-十一月-2006
摘要: Based on the current spin density functional theory, a theoretical model of three vertically aligned semiconductor quantum dots is proposed and numerically studied. This quantum dot molecule (QDM) model is treated with realistic hard-wall confinement potential and external magnetic field in three-dimensional setting. Using the effective-mass approximation with band nonparabolicity, the many-body Hamiltonian results in a cubic eigenvalue problem from a finite difference discretization. A self-consistent algorithm for solving the Schrodinger-Poisson system by using the Jacobi-Davidson method and GMRES is given to illustrate the Kohn-Sham orbitals and energies of six electrons in the molecule with some magnetic fields. It is shown that the six electrons residing in the central dot at zero magnetic field can be changed to such that each dot contains two electrons with some feasible magnetic field. The Forster-Dexter resonant energy transfer may therefore be generated by two individual QDMs. This may motivate a new paradigm of Fermionic qubits for quantum computing in solid-state systems. (C) 2006 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/j.cpc.2006.06.009
http://hdl.handle.net/11536/11617
ISSN: 0010-4655
DOI: 10.1016/j.cpc.2006.06.009
期刊: COMPUTER PHYSICS COMMUNICATIONS
Volume: 175
Issue: 9
起始頁: 575
結束頁: 582
顯示於類別:期刊論文


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