Geometrical Perspective on Spin-Lattice Density-Functional Theory

• URL: http://arxiv.org/abs/2407.20260v2
• Date: Mon, 21 Oct 2024 12:07:59 GMT
• Title: Geometrical Perspective on Spin-Lattice Density-Functional Theory
• Authors: Markus Penz, Robert van Leeuwen,
• Abstract summary: A recently developed viewpoint on the fundamentals of density-functional theory for finite interacting spin-lattice systems is presented. It allows for an entirely geometrical description of the Hohenberg-Kohn theorem and v-representability.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A recently developed viewpoint on the fundamentals of density-functional theory for finite interacting spin-lattice systems that centers around the notion of degeneracy regions is presented. It allows for an entirely geometrical description of the Hohenberg-Kohn theorem and v-representability. The phenomena receive exemplification by an Anderson impurity model and other small-lattice examples. The case of adiabatic change and the time-dependent setting are examined as well.

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