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Approximating one-matrix functionals without generalized Pauli constraints

  • Oleg V. Gritsenko
  • , Katarzyna Pernal

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

Common features are identified in the properties of the pure (PF) and ensemble (EF) energy functionals defined within the density matrix functional theory (DMFT) as well as their free-form (FFF) approximations. These features rationalize abandoning, in the common DMFT practice, prohibitively complicated generalized Pauli constraints (GPCs). Specifically, it is shown that the exact PF and EF coincide on the set of the v-representable first-order reduced density matrices (1RDMs), while FFFs approximate the common PF and EF for such 1RDMs. It is revealed that for some types of FFFs, for example for the geminal-based approximations, the GPCs are essentially trivialized to the pairwise natural occupation numbers (NONs) degeneracy conditions, routinely imposed for closed-shell systems.

Original languageEnglish
Article number012509
Pages (from-to)1-6
Number of pages6
JournalPhysical Review A
Volume100
Issue number1
DOIs
Publication statusPublished - 15 Jul 2019

Funding

This work was supported by the Narodowe Centrum Nauki of Poland under Grant No. 2017/27/B/ST4/00756.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 7 - Affordable and Clean Energy
    SDG 7 Affordable and Clean Energy

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