Pulay forces in density-functional theory with extended Hubbard functionals: from nonorthogonalized to orthogonalized manifolds

JSON Export

{
  "revision": 9, 
  "id": "612", 
  "created": "2020-10-23T13:18:30.897600+00:00", 
  "metadata": {
    "doi": "10.24435/materialscloud:27-pz", 
    "status": "published", 
    "title": "Pulay forces in density-functional theory with extended Hubbard functionals: from nonorthogonalized to orthogonalized manifolds", 
    "mcid": "2020.132", 
    "license_addendum": null, 
    "_files": [
      {
        "description": "The README.txt file describes the content of \"Files.tar\"", 
        "key": "README.txt", 
        "size": 5113, 
        "checksum": "md5:46a25a753d7b7290c429798924192f52"
      }, 
      {
        "description": "Collection of all files which were used to produce the data of the paper: input files, output files, figures, references to codes which were used, etc.", 
        "key": "Files.tar", 
        "size": 8783759, 
        "checksum": "md5:0770c79e36b64031a9605c132ebf381b"
      }
    ], 
    "owner": 5, 
    "_oai": {
      "id": "oai:materialscloud.org:612"
    }, 
    "keywords": [
      "Density-functional theory", 
      "DFT+U", 
      "DFT+U+V", 
      "Hubbard corrections", 
      "Hubbard forces", 
      "Pulay forces", 
      "Lowdin orthogonalization method", 
      "CSCS", 
      "MARVEL", 
      "Hubbard parameters", 
      "Hubbard manifold", 
      "Self-interaction corrections", 
      "Orbital overlap matrix", 
      "Lyapunov equation", 
      "Sylvester equation"
    ], 
    "conceptrecid": "611", 
    "is_last": true, 
    "references": [
      {
        "type": "Journal reference", 
        "doi": "10.1103/PhysRevB.102.235159", 
        "url": "https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.235159", 
        "comment": "Paper in which the method is described", 
        "citation": "I. Timrov, F. Aquilante, L. Binci, M. Cococcioni, N. Marzari, Phys. Rev. B 102, 235159 (2020)."
      }, 
      {
        "type": "Preprint", 
        "url": "https://arxiv.org/abs/2010.13485", 
        "comment": "Preprint where the method is described", 
        "citation": "Iurii Timrov, Francesco Aquilante, Luca Binci, Matteo Cococcioni, Nicola Marzari, \"Pulay forces in density-functional theory with extended Hubbard functionals: from nonorthogonalized to orthogonalized manifolds\", arXiv:2010.13485"
      }
    ], 
    "publication_date": "Oct 27, 2020, 12:08:29", 
    "license": "Creative Commons Attribution 4.0 International", 
    "id": "612", 
    "description": "We present a derivation of the exact expression for Pulay forces in density-functional theory calculations augmented with extended Hubbard functionals, and arising from the use of orthogonalized atomic orbitals as projectors for the Hubbard manifold. The derivative of the inverse square root of the orbital overlap matrix is obtained as a closed-form solution of the associated Lyapunov (Sylvester) equation. The expression for the resulting contribution to the forces is presented in the framework of ultrasoft pseudopotentials and the projector-augmented-wave method, and using a plane wave basis set. We have benchmarked the present implementation with respect to finite differences of total energies for the case of NiO, finding excellent agreement. Owing to the accuracy of Hubbard-corrected density-functional theory calculations - provided the Hubbard parameters are computed for the manifold under consideration - the present work paves the way for systematic studies of solid-state and molecular transition-metal and rare-earth compounds.", 
    "version": 1, 
    "contributors": [
      {
        "email": "iurii.timrov@epfl.ch", 
        "affiliations": [
          "Theory and Simulation of Materials (THEOS), and National Centre for Computational Design and Discovery of Novel Materials (MARVEL), \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland"
        ], 
        "familyname": "Timrov", 
        "givennames": "Iurii"
      }, 
      {
        "email": "francesco.aquilante@epfl.ch", 
        "affiliations": [
          "Theory and Simulation of Materials (THEOS), and National Centre for Computational Design and Discovery of Novel Materials (MARVEL), \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland"
        ], 
        "familyname": "Aquilante", 
        "givennames": "Francesco"
      }, 
      {
        "email": "luca.binci@epfl.ch", 
        "affiliations": [
          "Theory and Simulation of Materials (THEOS), and National Centre for Computational Design and Discovery of Novel Materials (MARVEL), \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland"
        ], 
        "familyname": "Binci", 
        "givennames": "Luca"
      }, 
      {
        "email": "matteo.cococcioni@unipv.it", 
        "affiliations": [
          "Department of Physics, University of Pavia, via Bassi 6, I-27100 Pavia, Italy"
        ], 
        "familyname": "Cococcioni", 
        "givennames": "Matteo"
      }, 
      {
        "email": "nicola.marzari@epfl.ch", 
        "affiliations": [
          "Theory and Simulation of Materials (THEOS), and National Centre for Computational Design and Discovery of Novel Materials (MARVEL), \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland"
        ], 
        "familyname": "Marzari", 
        "givennames": "Nicola"
      }
    ], 
    "edited_by": 5
  }, 
  "updated": "2021-12-06T14:11:11.474513+00:00"
}