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Quantum dots in two dimensions and the "strictly correlated electrons" (SCE) framework

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Quantum dots in two dimensions and the "strictly correlated electrons" (SCE) framework

C source code (with minor improvements) and Mathematica demonstration file quantum_dot_demo.nb for the calculations in Ref. 1: Kohn-Sham density functional theory using the "strictly correlated electrons" (SCE) functional applied to quantum dots in two dimensions. The program uses the Mathematica MathLink interface and requires a BLAS/LAPACK library, for example AMD's Core Math Library (ACML), as well as the GNU Scientific Library (GSL).

How to compile the source code:

  • Windows: Visual Studio 2013 project files are provided in the vcproj_mlink subfolder
  • Linux: a makefile is available in the mlink subfolder. You probably have to adapt paths and the BLAS/LAPACK function calls to your local installation

License

Copyright (c) 2013-2014, Christian B. Mendl
All rights reserved.
http://christian.mendl.net

This program is free software; you can redistribute it and/or modify it under the terms of the Simplified BSD License http://www.opensource.org/licenses/bsd-license.php

References

  1. Christian B. Mendl, Francesc Malet, Paola Gori-Giorgi
    Wigner localization in quantum dots from Kohn-Sham density functional theory without symmetry breaking
    Phys. Rev. B 89, 125106 (2014), arXiv:1311.6011
  2. Michael Seidl, Paola Gori-Giorgi, Andreas Savin
    Strictly correlated electrons in density-functional theory: A general formulation with applications to spherical densities
    Phys. Rev. A 75, 042511 (2007), arXiv:cond-mat/0701025

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