Relativistic calculation of the orbital hyperfine splitting in complex microscopic structures

K. Franzke, W.G. Schmidt, U. Gerstmann, Journal of Physics: Conference Series 2701 (2024).

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<jats:title>Abstract</jats:title> <jats:p>Theoretical spectroscopy based on double perturbation theory is typically challenged by systems with large orbital hyperfine splitting. Therefore, we here derive a rigorous, non-perturbative scheme starting from Dirac’s equation which allows to calculate the contribution of the orbital HFI for complex structures including heavy atoms with strong spin-orbit coupling (SOC). Using the PAW formalism, the method has been implemented in the software package Quantum ESPRESSO. We show that the ‘orbital part’ actually scales with SOC strength if orbital quenching is hindered by low local symmetry, i.e. in case of dimers or atoms at surfaces. This holds true in particular when the unpaired electron is localized in quasi-atomic <jats:italic>p</jats:italic>-like orbitals. Here, the orbital part is by far not negligible, but becomes dominant by surpassing the dipolar contribution by a factor of five.</jats:p>
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Journal Title
Journal of Physics: Conference Series
Volume
2701
Issue
1
Article Number
012094
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Franzke K, Schmidt WG, Gerstmann U. Relativistic calculation of the orbital hyperfine splitting in complex microscopic structures. Journal of Physics: Conference Series. 2024;2701(1). doi:10.1088/1742-6596/2701/1/012094
Franzke, K., Schmidt, W. G., & Gerstmann, U. (2024). Relativistic calculation of the orbital hyperfine splitting in complex microscopic structures. Journal of Physics: Conference Series, 2701(1), Article 012094. https://doi.org/10.1088/1742-6596/2701/1/012094
@article{Franzke_Schmidt_Gerstmann_2024, title={Relativistic calculation of the orbital hyperfine splitting in complex microscopic structures}, volume={2701}, DOI={10.1088/1742-6596/2701/1/012094}, number={1012094}, journal={Journal of Physics: Conference Series}, publisher={IOP Publishing}, author={Franzke, Katharina and Schmidt, Wolf Gero and Gerstmann, Uwe}, year={2024} }
Franzke, Katharina, Wolf Gero Schmidt, and Uwe Gerstmann. “Relativistic Calculation of the Orbital Hyperfine Splitting in Complex Microscopic Structures.” Journal of Physics: Conference Series 2701, no. 1 (2024). https://doi.org/10.1088/1742-6596/2701/1/012094.
K. Franzke, W. G. Schmidt, and U. Gerstmann, “Relativistic calculation of the orbital hyperfine splitting in complex microscopic structures,” Journal of Physics: Conference Series, vol. 2701, no. 1, Art. no. 012094, 2024, doi: 10.1088/1742-6596/2701/1/012094.
Franzke, Katharina, et al. “Relativistic Calculation of the Orbital Hyperfine Splitting in Complex Microscopic Structures.” Journal of Physics: Conference Series, vol. 2701, no. 1, 012094, IOP Publishing, 2024, doi:10.1088/1742-6596/2701/1/012094.

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