The role of transition metal impurities and oxygen vacancies in the formation of ferromagnetism in Co-doped TiO2
V.I. Anisimov, M.A. Korotin, I.A. Nekrasov, A.S. Mylnikova, A.V., Lukoyanov, J.-L. Wang, and Z. Zeng

TL;DR
This study explores how transition metal impurities and oxygen vacancies influence ferromagnetism in Co-doped TiO2, revealing that vacancies significantly strengthen magnetic interactions and may explain high Curie temperatures.
Contribution
It demonstrates that oxygen vacancies enhance ferromagnetic exchange interactions in Co-doped TiO2, providing insights into the origin of high-temperature ferromagnetism in this material.
Findings
Exchange interaction between Co ions is weak but becomes stronger near magnetic vacancies.
Magnetic moments are 3μ_B for Co2+ and 1μ_B for vacancies, with opposite directions.
Interaction energy varies from 330meV to 40meV depending on impurity-vacancy distance.
Abstract
We have investigated the role of transition metal impurities and oxygen vacancies in the formation of ferromagnetism in Co-doped TiO2 using LSDA+U approach which takes into account strong on-cite Coulomb correlations for electronic structure calculations. Several model systems such as supercells of rutile TiO2 with Co{+2} ion in high-spin state substituted into titanium cite and with oxygen vacancies were considered. We found that exchange interaction of Co magnetic ions is ferromagnetic, but very weak due to the large average impurity-impurity distance. However, its strength becomes three times stronger when there is a magnetic vacancy nearby. The magnetic moment values are 3\mu_B for Co{2+} and 1\mu_B for vacancy with the opposite directions of them. Our investigation showed that exchange interaction energy of Co and vacancy moments varies from 330meV to 40meV depending on the…
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