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Local-energy density functionals for an N-dimensional electronic system in a magnetic field

B. P. van Zyl
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Abstract

We present a general approach for the construction of the exact local-energy-density functionals for a uniform N-dimensional electronic system in a magnetic field. For arbitrary dimension, we obtain explicit expressions for the matter, kinetic, and exchange density functionals. In the zero-field limit, we recover the usual N-dimensional Thomas-Fermi theory. As an application of our results, we develop a current-density-functional theory, in the spirit of the Thomas-Fermi-Dirac approximation, for an inhomogeneous many-electron system in a magnetic field.

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B. P. van Zyl. 1999-07-09. Local-energy density functionals for an N-dimensional electronic system in a magnetic field. https://arxiv.org/abs/cond-mat/9907083

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