Abstract

The topological Hall effect (THE) is the Hall response to an emergent magnetic field, a manifestation of the skyrmion Berry-phase. As the magnitude of THE in magnetic multilayers is an open question, it is imperative to develop comprehensive understanding of skyrmions and other chiral textures, and their electrical fingerprint. Here, using Hall-transport and magnetic-imaging in a technologically viable multilayer film, we show that topological-Hall resistivity scales with the isolated-skyrmion density over a wide range of temperature and magnetic-field, confirming the impact of the skyrmion Berry-phase on electronic transport. While we establish qualitative agreement between the topological-Hall resistivity and the topological-charge density, our quantitative analysis shows much larger topological-Hall resistivity than the prevailing theory predicts for the observed skyrmion density. Our results are fundamental for the skyrmion-THE in multilayers, where interfacial interactions, multiband transport and non-adiabatic effects play an important role, and for skyrmion applications relying on THE.

Highlights

  • The topological Hall effect (THE) is the Hall response to an emergent magnetic field, a manifestation of the skyrmion Berry-phase

  • We use sputtered [Ir(1)/Fe(0.5)/Co(0.5)/ Pt(1)]20 multilayer films, with the composition chosen for exhibiting skyrmions across a large range of T

  • Using magnetic force microscopy (MFM) and transport measurements, we present a comprehensive picture of the evolution of magnetic textures and their THE signature in a multilayer film capable of hosting skyrmions from room temperature (RT) down to at least 5 K

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Summary

Results

As the applied field H is swept from saturation towards zero, we find that skyrmions aggregate in worm-like magnetic textures, which may carry large topological charge (QW), and manifest as peaks in ρTH. Quantitative modeling of these worm-textures uncovers qualitative agreement between. The dense textures at intermediate H (Fig. 1f–h, and Supplementary Figures 17 and 18) correspond to reduced, yet finite, Δρyx Careful inspection of such scans reveals worm-like features, to which we attribute the finite magnitude of Δρyx (Supplementary Note 7). The following analysis of the topological charge of worms is motivated by sequences like Fig. 1b–d [ in Supplementary Figures 17(n)–(o)], which suggest that worms result from skyrmions clustering as nsk increases. The energy barrier for this suggests that the effective topological charge should be at least equal to the total number of skyrmions that form a worm

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