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Cited by 401

The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.

Ensemble Density-Functional Theory for Ab Initio Molecular Dynamics of Metals and Finite-Temperature Insulators

Open access
Marzari, Nicola, Vanderbilt, David, Payne, M. C.·1997·Physical Review Letters

Abstract

A new method is presented for performing first-principles molecular-dynamics simulations of systems with variable occupancies. We adopt a matrix representation for the one-particle statistical operator $\stackrel{^}{\ensuremath{\gamma}}$ to introduce a ``projected'' free energy functional $G$ that depends on the Kohn-Sham orbitals only and that is invariant under their unitary transformations. The Liouville equation $[\stackrel{^}{\ensuremath{\gamma}},\stackrel{^}{H}]\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0$ is always satisfied, guaranteeing a very efficient and robust variational minimization algorithm, that can also be extended to nonconventional entropic formulations.

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Crossref · 10.1103/physrevlett.79.1337

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Metadata

Authors
Marzari, N., Vanderbilt, D., & Payne, M. C.
Venue
Physical Review Letters
Published
1997-08-18
Volume
79
Issue
7
Pages
1337-1340
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2138522514
Cited by
401
References
16
FWCI
3.26
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Ensemble Density-Functional Theory for Ab Initio Molecular Dynamics of Metals and Finite-Temperature Insulators. https://app.cochat.ai/papers/10.1103/physrevlett.79.1337
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Marzari, N., Vanderbilt, D., & Payne, M. C. (1997). Ensemble Density-Functional Theory for Ab Initio Molecular Dynamics of Metals and Finite-Temperature Insulators. Physical Review Letters. https://doi.org/10.1103/physrevlett.79.1337

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