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February 2, 2026The Journal of Chemical Physics6 citations

“Ensemblization” of density functional theory

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TGTim GouldLKLeeor KronikSPStefano Pittalis

Key Points

  • The aim is to introduce ensemble density functional theory (EDFT) and explore its advantages over traditional DFT.
  • Detailed introduction and analysis of ensemble DFT.
  • Construction of exact frameworks to minimize errors.
  • Focus on the ensemblization of functionals for practical applications.
  • Shows that EDFT can handle degenerate and mixed states effectively.
  • Highlights the relationship between symmetry considerations and ensemble properties.
  • Indicates practical implications for addressing failures of traditional DFT.

Abstract

Density functional theory (DFT) has transformed our ability to investigate and understand electronic ground states. In its original formulation, however, DFT is not suited to addressing (e.g.) degenerate ground states, mixed states with different particle numbers, or excited states. All these issues can be handled, in principle exactly, via ensemble DFT (EDFT). This Perspective provides a detailed introduction to and analysis of EDFT, in an in-principle exact framework that is constructed to avoid uncontrolled errors and inconsistencies that may be associated with ad hoc extensions of conventional DFT. In particular, it focuses on the “ensemblization” of both exact and approximate density functionals, a term that we coined to describe a rigorous approach that lends itself to the construction of novel approximations consistent with the general ensemble framework, yet applicable to practical problems where traditional DFT tends to fail or does not apply at all. In particular, symmetry considerations and ensemble properties are shown to enable each other in shaping a practical DFT-based methodology that extends beyond the ground state and, in doing so, highlights the need to look outside the standard ground state Kohn–Sham treatment.

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Cite This Study

Gould et al. (2026) studied this question.

synapsesocial.com/papers/6980fe48c1c9540dea8102e5https://doi.org/10.1063/5.0274509
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