Journal ArticleDOI
Anisotropic Superexchange Interaction and Weak Ferromagnetism
TLDR
In this paper, the Anderson theory of superexchange was extended to include spin-orbit coupling and the antisymmetric spin coupling suggested by Dzialoshinski from purely symmetry grounds and the symmetric pseudodipolar interaction were derived.Abstract:
A theory of anisotropic superexchange interaction is developed by extending the Anderson theory of superexchange to include spin-orbit coupling. The antisymmetric spin coupling suggested by Dzialoshinski from purely symmetry grounds and the symmetric pseudodipolar interaction are derived. Their orders of magnitudes are estimated to be ($\frac{\ensuremath{\Delta}g}{g}$) and ${(\frac{\ensuremath{\Delta}g}{g})}^{2}$ times the isotropic superexchange energy, respectively. Higher order spin couplings are also discussed. As an example of antisymmetric spin coupling the case of Cu${\mathrm{Cl}}_{2}$\ifmmode\cdot\else\textperiodcentered\fi{}2${\mathrm{H}}_{2}$O is illustrated. In Cu${\mathrm{Cl}}_{2}$\ifmmode\cdot\else\textperiodcentered\fi{}2${\mathrm{H}}_{2}$O, a spin arrangement which is different from one accepted so far is proposed. This antisymmetric interaction is shown to be responsible for weak ferromagnetism in $\ensuremath{\alpha}$-${\mathrm{Fe}}_{2}$${\mathrm{O}}_{3}$, MnC${\mathrm{O}}_{3}$, and Cr${\mathrm{F}}_{3}$. The paramagnetic susceptibility perpendicular to the trigonal axis is expected to increase very sharply near the N\'eel temperature as the temperature is lowered, as was actually observed in Cr${\mathrm{F}}_{3}$.read more
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Journal ArticleDOI
Magnetic 2D materials and heterostructures
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Observation of room-temperature magnetic skyrmions and their current-driven dynamics in ultrathin metallic ferromagnets
Kai Litzius,Benjamin Krüger,Mi-Young Im,K. Richter,Andrea Krone,Robert M. Reeve,Markus Weigand,Ivan Lemesh,Mohamad-Assaad Mawass,Peter Fischer,Mathias Kläui,Seonghoon Woo,Lucas Caretta,Maxwell Mann,Parnika Agrawal,Geoffrey S. D. Beach +15 more
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Chiral magnetic order at surfaces driven by inversion asymmetry
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Journal ArticleDOI
Skyrmion Hall effect revealed by direct time-resolved X-ray microscopy
Kai Litzius,Kai Litzius,Ivan Lemesh,Benjamin Krüger,Pedram Bassirian,Lucas Caretta,K. Richter,Felix Büttner,Koji Sato,Oleg A. Tretiakov,Oleg A. Tretiakov,Johannes Förster,Robert M. Reeve,Markus Weigand,Iuliia Bykova,Hermann Stoll,Gisela Schütz,Geoffrey S. D. Beach,Mathias Kläui +18 more
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