Room 10.01, Bldg. 30.23 CS and Zoom
Frustrated magnets, understood as magnetic systems with frustrated interactions dominated by isotropic exchange, have resurged in condensed matter due to their striking spin transport properties [1,2] and ability to host three-dimensional magnetic solitons such as Shankar skyrmions  or Anderson-Toulouse  and Mermin-Ho vortices . These topological textures are encoded in the SO(3)-order parameter (describing the spin-spin correlation) of these magnetic platforms, and also coexist with the more conventional magnetic solitons (domain walls and baby skyrmions, to name a few) emerging in the corresponding magnetization field. In this talk, I will discuss recent advances in the transport of charge and spin in magnetically frustrated conductors [6,7], with special emphasis on the topological aspects. In particular, I will consider the spin-transfer and the topological Hall effects mediated by the SO(3) solitons and magnetic disclinations (namely, the topological singularities of the order parameter) emerging in frustrated magnets, which find no counterparts in collinear magnetism. I will also discuss the hydrodynamic description of SO(3) solitons based upon the local conservation of their topological charge, as well as their thermally assisted transport , and present a collective variable framework well suited to describe the current-driven dynamics of SO(3) solitons in magnetically frustrated platforms. Furthermore, I will discuss experimental setups for the measurement of the aforementioned phenomena.
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