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URN to cite this document: urn:nbn:de:bvb:703-epub-9158-2
Title data
Kaiser, Alexander ; Kümmel, Stephan:
Accurate electron densities from quantum Monte Carlo calculations using real-space grids.
In: The Journal of Chemical Physics.
Vol. 162
(2025)
Issue 13
.
- 134108.
ISSN 1089-7690
DOI der Verlagsversion: https://doi.org/10.1063/5.0250838
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Abstract
We provide accurate energies and electronic densities for Li2, C, and N2 from the diffusion Monte Carlo (DMC) method in the fixed node approximation based on orbitals from a real-space grid approach. With relatively simple single-determinant trial wave functions, we demonstrate the benefits of an all-electron approach in conjunction with a highly accurate grid method for calculating the orbitals that build the determinant. Our DMC ground state energies match with those of more elaborate single-reference quantum Monte Carlo (QMC) methods based on orbital basis sets. The binning technique is revisited to calculate the electronic density on a spatial grid. We examine the dependence of the resulting mixed estimator and extrapolated density on the trial wave function, specifically on the density functional generating the orbitals, by employing two distinctly different functionals, namely, the local density approximation and the exact-exchange functional. Residual statistical artifacts in the QMC densities are readily corrected by using a regularization method, resulting in smooth densities. As an example for the insight that can be gained from an accurate density, we verify that in the carbon atom, the density along one specific direction can have an asymptotic decay that differs from the decay found in all other directions. We relate this observation to previously published work, which discussed the implications that such a nodal feature may have for the exact Kohn–Sham potential.
Further data
| Item Type: | Article in a journal |
|---|---|
| DDC Subjects: | 500 Science > 530 Physics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics IV - Electronic Structure and Dynamics > Chair Theoretical Physics IV - Electronic Structure and Dynamics - Univ.-Prof. Dr. Stephan Kümmel Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics IV - Electronic Structure and Dynamics |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-9158-2 |
| Date Deposited: | 05 May 2026 14:51 |
| Last Modified: | 05 May 2026 14:52 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/9158 |
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