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Using LSDA+U+SOC calculations for two configuration states of the high-spin Co2+ ions in Ca3 CoRh O6, i.e., the minority-spin d0 d2 (the ground state, see more in the main text) and d0 d-2 (a metastable state), we obtained the total-energy difference of 142 meV/Co between them, which is two times the SOC constant. Then, the SOC constant is calculated to be 71 meV. This is a commonly accepted value and agrees well with a Hartree-Fock value of 66 meV (Ph.D. thesis, University of Cologne
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Using LSDA+U+SOC calculations for two configuration states of the high-spin Co2+ ions in Ca3 CoRh O6, i.e., the minority-spin d0 d2 (the ground state, see more in the main text) and d0 d-2 (a metastable state), we obtained the total-energy difference of 142 meV/Co between them, which is two times the SOC constant. Then, the SOC constant is calculated to be 71 meV. This is a commonly accepted value and agrees well with a Hartree-Fock value of 66 meV (M. W. Haverkort, Ph.D. thesis, University of Cologne, 2005; http://xxx.lanl.gov/ abs/cond-mat/0505214).
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