Title:

Correlation between Chiral Fluctuations and the Topological Hall Effect

The topological Hall effect is used exclusively as a signature of the magnetic skyrmions in a material. However, this phenomenon might have originated from other mechanisms such as thermally driven topology in chiral magnets. The relationship between topological spin structures and Hall effect were investigated at low temperatures; however, much remained unknown for the emergent topology at high temperatures. In this project, we performed the Monte Carlo simulation of a two-dimensional model of the chiral magnet and studied the correlation between the Hall effect and the chiral fluctuations at high temperatures. We used both the topological charge and scalar chirality to characterize the topology of the spin-lattice. The Hall conductivity was calculated by applying the Kubo formula to the tight-binding model. Massive ensemble averages were taken to derive the thermal average of both the chirality and Hall conductivity. The results show that thermal emergent topology does have an effect on transport measurement.

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