Fluctuation-driven phenomena in the kagome-net magnets RMn_6Sn_6

Igor Mazin, George Mason University

I will discuss four different nontrivial manifestations of spin fluctuations in 166 materials:
1) Mn spin fluctuation in Y166 and Er166 generate (at finite temperature) topological Hall effect
2) Tb spin fluctuations in Tb166 trigger a spontaneous spin-reorientation transitions
3) Er spin fluctuations trigger a ferrimagnet-spiral transition
4) RE and Mn spin fluctuations modify the conventional scaling of the anomalous Hall effect.

This shows that spin fluctuations can have qualitatively diverse and nontrivial effects already on the mean field level, i.e. outside of the standard framework of suppressing the long-range order and triggering order from disorder transitions.

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