2006
DOI: 10.1088/0953-8984/18/34/012
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On-site approximation for spin–orbit coupling in linear combination of atomic orbitals density functional methods

Abstract: We propose a computational method that drastically simplifies the inclusion of the spin–orbit interaction in density functional theory when implemented over localized basis sets. Our method is based on a well-known procedure for obtaining pseudopotentials from atomic relativistic ab initio calculations and on an on-site approximation for the spin–orbit matrix elements. We have implemented the technique in the SIESTA (Soler J M et al 2002 J. Phys.: Condens. Matter 14 2745–79) code, and show that it provides acc… Show more

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Cited by 121 publications
(121 citation statements)
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“…For the Mn basis set, 3p orbitals as a semicore are required in order for the molecular orbital levels of an isolated Mn 12 to be comparable to those obtained from allelectron calculations. 42 With these pseudopotentials and basis sets, self-consistent DFT calculations including spin-orbit coupling 37 are performed for an isolated Mn 12 . Using a modified version 37 of SIESTA, we obtain the total magnetic moment of 20 B and the magnetic anisotropy barrier of 66.4 K. 14 This is in good agreement with experiment 33 and with the barrier 43,44 computed using the DFT code VASP.…”
Section: Computational Methods and Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…For the Mn basis set, 3p orbitals as a semicore are required in order for the molecular orbital levels of an isolated Mn 12 to be comparable to those obtained from allelectron calculations. 42 With these pseudopotentials and basis sets, self-consistent DFT calculations including spin-orbit coupling 37 are performed for an isolated Mn 12 . Using a modified version 37 of SIESTA, we obtain the total magnetic moment of 20 B and the magnetic anisotropy barrier of 66.4 K. 14 This is in good agreement with experiment 33 and with the barrier 43,44 computed using the DFT code VASP.…”
Section: Computational Methods and Modelmentioning
confidence: 99%
“…42 With these pseudopotentials and basis sets, self-consistent DFT calculations including spin-orbit coupling 37 are performed for an isolated Mn 12 . Using a modified version 37 of SIESTA, we obtain the total magnetic moment of 20 B and the magnetic anisotropy barrier of 66.4 K. 14 This is in good agreement with experiment 33 and with the barrier 43,44 computed using the DFT code VASP. 45 To reduce the computational cost, a small Au basis set of a single s orbital is used for transport calculations while a large Au basis set of both d and s orbitals is used for geometry relaxation.…”
Section: Computational Methods and Modelmentioning
confidence: 99%
“…This post-self-consistent approach 14,31 is justified in the case of Ni, for which the SOC is much smaller than the exchange splittings and the bandwidths. We take = 70 meV for the Ni 3d orbitals.…”
Section: Model and Methodologymentioning
confidence: 99%
“…1 we show the total energy as a function of the angle, ␣, between the magnetization and the WZ c axis for both CoO and ZnO:Co. These have been calculated from DFT including spin-orbit interaction 22 and using the local density approximation ͑LDA͒ of the exchange and correlation functional. One can immediately note that indeed DFT predicts the hard-axis easy-plane anisotropy found in EPR.…”
Section: Foundation Of the Model And Computational Detailsmentioning
confidence: 99%