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The magnetic topological materials have attracted significant attention dueto their potential realization of variety of novel quantum phenomena.EuIn$_2$As$_2$ has recently been theoretically recognized as a long awaitedintrinsic antiferromagnetic bulk axion insulator. However, the experimentalstudy on transport properties arising from the topological states in thismaterial is scarce. In this paper, we perform the detailed magnetoresistance(MR) and Hall measurements to study the magnetotransport properties of thismaterial. We find that the transport is strongly influenced by the spinconfiguration of the Eu moments from the concomitant change in the fielddependence of the MR and that of the magnetization below the N\'eeltemperature. Most importantly, an anomalous Hall effect (AHE) and a largetopological Hall effect (THE) are observed. We suggest that the AHE isoriginated from a nonvanishing net Berry curvature due to the helical spinstructure and that the THE is attributed to the formation of a noncoplanar spintexture with a finite scalar spin chirality induced by the external magneticfield in EuIn$_2$As$_2$. Our studies provide a platform to understand theinfluence of the interplay between the topology of electronic bands and thefield-induced magnetic structure on magnetoelectric transport properties. Inaddition, our observations give a hint to realize axion insulator states andhigh-order topological insulator states through manipulating the magnetic stateof EuIn$_2$As$_2$.

Field-induced Topological Hall effect in antiferromagnetic axion insulator candidate EuIn$_2$As$_2$