All-electron, real-space perturbation theory for homogeneous electric fields: Theory, implementation, and application within DFT

Research output: Contribution to journalArticle


  • Honghui Shang
  • Nathaniel Raimbault
  • Patrick Rinke

  • Matthias Scheffler
  • Mariana Rossi
  • Christian Carbogno

Research units

  • Fritz-Haber-Institut der Max-Planck-Gesellschaft


Within density-functional theory, perturbation theory (PT) is the state-of-the-art formalism for assessing the response to homogeneous electric fields and the associated material properties, e.g., polarizabilities, dielectric constants, and Raman intensities. Here, we derive a real-space formulation of PT and present an implementation within the all-electron, numeric atom-centered orbitals electronic structure code FHI-aims that allows for massively parallel calculations. As demonstrated by extensive validation, we achieve a rapid computation of accurate response properties of molecules and solids. As an application showcase, we present harmonic and anharmonic Raman spectra, the latter obtained by combining hundreds of thousands of PT calculations with ab initio molecular dynamics. By using the PBE exchange-correlation functional with many-body van der Waals corrections, we obtain spectra in good agreement with experiment especially with respect to lineshapes for the isolated paracetamol molecule and two polymorphs of the paracetamol crystal.


Original languageEnglish
Article number073040
Pages (from-to)1-22
JournalNew Journal of Physics
Issue number7
Publication statusPublished - 1 Jul 2018
MoE publication typeA1 Journal article-refereed

    Research areas

  • atom-centered basis functions, coupled perturbed self-consistent field method, density-functional perturbation theory, homogeneous electric fields, paracetamol, Raman spectra

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