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Density-functional theory on graphs

delete2021-12-30
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OA
AI
M
Markus Penz *
R
Robert van Leeuwen
DOI:10.1063/5.0074249delete
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Abstract

Abstract

En 中文
The principles of density-functional theory are studied for finite lattice systems represented by graphs. Surprisingly, the fundamental Hohenberg-Kohn theorem is found void, in general, while many insights into the topological structure of the density-potential mapping can be won. We give precise conditions for a ground state to be uniquely v-representable and are able to prove that this property holds for almost all densities. A set of examples illustrates the theory and demonstrates the non-convexity of the pure-state constrained-search functional.
Keywords:
ELECTRON-DENSITIES
V-REPRESENTABILITY
LATTICE
EIGENVALUES
POTENTIALS
ORBITALS

Journal

Journal of Chemical Physics cover
Journal of Chemical Physics
IF:
3.1
Papers:
7.2W
Citations:
23.2W

Organization

U
University of Innsbruck
Scholars:
9.8K
Papers: 8.6K
Citations: 8
U
university of jyvaskyla
Scholars:
6.3K
Papers: 6.8K
Citations: 12