The structure of the density-potential mapping. Part I: Standard density-functional theory

Abstract

The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual basis for a full characterization of an electronic system in its ground state by just the one-body particle density. Part I of this review aims at clarifying the status of the Hohenberg-Kohn theorem within DFT and Part II at different extensions of the theory that include magnetic fields. We collect evidence that the Hohenberg-Kohn theorem does not so much form the basis of DFT, but is rather the consequence of a more comprehensive mathematical framework. Such results are especially useful when it comes to the construction of generalized DFTs.

References in corpus (2)

• Kohn-Sham theory with paramagnetic currents: compatibility and functional differentiability
• Extensibility of Hohenberg-Kohn Theorem to general quantum systems

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• v-Representability on a one-dimensional torus at elevated temperatures
• Constrained Search in Imaginary Time
• Perspective on Moreau-Yosida Regularization in Density-Functional Theory
• Capturing electron correlation at mean-field cost: Assessment of i-DMFT and the underlying correlation conjecture