國立中山大學應用數學系
(Dept. of Applied Math., National Sun Yat-sen University)
Talk
Speaker：劉晉良 教授
高雄大學應用數學系
Title：Numerical Modeling for Semiconductor Quantum Dot Molecule
Based on the Current Spin Density Functional Theory
Time：2005/12/01（星期四, Thur.）15：30 ~ 16：30
Place：理學院 4 樓理 4009-1 室(教室設備：白板、固定單槍、固定電腦)
(Room 4009-1, Dept. of Applied Math, NSYSU)
Tea Time：15：00~15：30 於理 4010 室
(系辦公室)
Abstract
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, external magnetic field, and more accurate
exchange-correlation energy functional. 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 excited 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.
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