Neutron scattering tests of the fluctuation-driven scalar spin chirality hypothesis

Non-coplanar magnetic textures with finite scalar spin chirality generate an emergent (real space Berry curvature) magnetic field that affects electronic transport. Skyrmion lattices are well-known example where scalar spin chirality generates the topological Hall effect (THE). Recently, there has been evidence of anomalous behavior in Hall conductivity that resembles the THE in magnetic textures with no static scalar spin chirality. This motivates a hypothesis that chirality can be generated dynamically by spin fluctuations. Here, we test the possibility of an emergent field driven by spin fluctuations in the transverse conical phase using a detailed magnetic model for the kagome metal ErMn₆Sn₆ derived from inelastic neutron scattering.