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Geometrical Perspective on Spin-Lattice Density-Functional Theory

Materials Science 2024-10-22 v2 Chemical Physics Quantum Physics

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.

Keywords

Cite

@article{arxiv.2407.20260,
  title  = {Geometrical Perspective on Spin-Lattice Density-Functional Theory},
  author = {Markus Penz and Robert van Leeuwen},
  journal= {arXiv preprint arXiv:2407.20260},
  year   = {2024}
}
R2 v1 2026-06-28T17:57:20.558Z