Energy Calculations of The Realistic Quantum Slab

Details Energy Calculations of The Realistic Quantum Slab Energy Calculations of The Realistic Quantum Slab

2010-08-27

arxiv.org/abs/1008.4661v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 4 figures

Scientific paper

We calculated the total energy of a semiconductor quantum dot which is defined by the trench gate method. In our calculation we used a recently developed energy functional called ``orbital-free energy functional". We compared the total energies obtained by Thomas-Fermi approximation, orbital-free energy functional and standard local-density approximation for the square quantum slab geometry. We have seen that this newly developed energy functional is numerically very efficient, superior to the Thomas-Fermi approximation and is in good agreement with the local-density approximation for two different sizes of quantum dot systems.

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