Abstract:Recent magnetic measurements on tetra-nickel molecular magnets [Ni(hmp)(ROH)Cl]4, where R=CH3, CH2CH3, or (CH2)2C(CH3)3 and hmp − is the monoanion of 2-hydroxymethylpyridine, revealed a strong exchange bias prior to the external magnetic field reversal as well as anomalies in electron paramagnetic resonance peaks at low temperatures. To understand the exchange bias and observed anomalies, we calculate the electronic structure and magnetic properties for the Ni4 molecules with the three different ligands, emplo… Show more
“…However, for the Mn 2+ , Co 2+ , and Ni 2+ ions, the ligand fields are not so strong that high-spin states are preferred for the ground state. ͑Refer to Table I for nominal spin and orbital angular momenta for the metal ions.͒ This feature is corroborated in the calculated projected density of states ͑DOS͒ onto 43 although experimental data suggested an S = 4 ferromagnetic ground state. 44 In DFT, it is assumed that a single Slater's determinant is a good approximation to a ground state.…”
Section: Electronic Structure and Exchange Couplingsupporting
are 0.12, 0.03, and 0.33 eV. Based on the calculated electronic structures, the second-order magnetic anisotropy is computed including singleelectron spin-orbit coupling within a DFT formalism. In comparison to a prototype single-molecule magnet Mn 12 , the three cyanide-bridged molecular magnets are found to bear substantial transverse magnetic anisotropy that becomes 15%-36% of molecular longitudinal anisotropy. Spin-orbit coupling arising from the low-spin Fe 3+ and high-spin Co 2+ ions induces significant orbital angular momentum that contributes to the total magnetic anisotropy of the three cyanide-bridged molecular magnets. The induced orbital angular momentum is 4-8 times those calculated for Mn 12 . The total magnetic anisotropy present in the three molecular magnets is due to competition between the magnetic anisotropy of the Fe 3+ and of the M 2+ ions. In the Fe 2 Mn 2 and Fe 2 Ni 2 molecules, the anisotropy is primarily due to the Fe 3+ ions, while in the Fe 2 Co 2 molecule, the single-ion anisotropy of the Co 2+ ions counters the Fe 3+ contributions. These results are supported by previously reported magnetic measurements.
“…However, for the Mn 2+ , Co 2+ , and Ni 2+ ions, the ligand fields are not so strong that high-spin states are preferred for the ground state. ͑Refer to Table I for nominal spin and orbital angular momenta for the metal ions.͒ This feature is corroborated in the calculated projected density of states ͑DOS͒ onto 43 although experimental data suggested an S = 4 ferromagnetic ground state. 44 In DFT, it is assumed that a single Slater's determinant is a good approximation to a ground state.…”
Section: Electronic Structure and Exchange Couplingsupporting
are 0.12, 0.03, and 0.33 eV. Based on the calculated electronic structures, the second-order magnetic anisotropy is computed including singleelectron spin-orbit coupling within a DFT formalism. In comparison to a prototype single-molecule magnet Mn 12 , the three cyanide-bridged molecular magnets are found to bear substantial transverse magnetic anisotropy that becomes 15%-36% of molecular longitudinal anisotropy. Spin-orbit coupling arising from the low-spin Fe 3+ and high-spin Co 2+ ions induces significant orbital angular momentum that contributes to the total magnetic anisotropy of the three cyanide-bridged molecular magnets. The induced orbital angular momentum is 4-8 times those calculated for Mn 12 . The total magnetic anisotropy present in the three molecular magnets is due to competition between the magnetic anisotropy of the Fe 3+ and of the M 2+ ions. In the Fe 2 Mn 2 and Fe 2 Ni 2 molecules, the anisotropy is primarily due to the Fe 3+ ions, while in the Fe 2 Co 2 molecule, the single-ion anisotropy of the Co 2+ ions counters the Fe 3+ contributions. These results are supported by previously reported magnetic measurements.
“…Not only were the early theoretical attempts unable to reproduce the correct ground state, but the resulting coupling constants were also found to be antiferromagnetic and orders of magnitude higher than the experimental values [17]. It was also found in the calculation that the spin density is not quite localized around the nickel atoms, as expected.…”
The single-molecule magnet [Ni(hmp)(MeOH)Cl]4 (hmp denotes the anion of 2-hydroxymethylpyridine and Me denotes methyl) is studied using both density functional theory (DFT) and the DFT+U method, and the results are compared. By incorporating a Hubbard-U like term for both the nickel and oxygen atoms, the experimentally determined ground state is successfully obtained, and the exchange coupling constants derived from the DFT+U calculation agree with experiment very well. The results show that the nickel 3d and oxygen 2p electrons in this molecule are strongly correlated, and thus the inclusion of on site Coulomb energies is crucial to obtaining the correct results.
“…In systems composed of lighter elements, such as metaloxide-based molecular magnets, DFT often qualitatively provides correct electronic structures and magnetic anisotropies but the size of the inter-ionic exchange parameters, and therefore spin-excitations, are overestimated within DFT (Postnikov et al, 2006), due to slight delocalization of the d-electrons. However, calculation on a class of Ni 4 O 4 molecular magnets has proven that standard DFT approaches can lead to qualitatively incorrect results (Cao et al, 2008;Park et al, 2005). Inclusion of a Hubbard U treatment, a semiempirical cousin of SIC, has been shown to correctly predict the spin-ordering (Cao et al, 2008) in systems where DFT fails.…”
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