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    Nonlinear Transverse Conductivity in Antiferroic Types of Magnetic Toroidal Metal

    T. Miyamoto1,†, M. Shimozawa1,‡, S. Hosoi1,*, M. Yatsushiro2, K. Izawa1, Y. Ōnuki3,4, D. Aoki5, and S. Hayami2

    • *Present address: Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
    • †Contact author: miyamoto@qc.mp.es.osaka-u.ac.jp
    • ‡Contact author: shimozawa@mp.es.osaka-u.ac.jp

    Phys. Rev. Lett. 135, 076502 – Published 15 August, 2025

    DOI: https://doi.org/10.1103/gfl2-bsjk

    Abstract

    We have performed careful measurements of nonlinear transverse conductivity (NLTC) at zero field in the intermetallic compound HoAgGe with two distinct magnetic toroidal (MT) structures. Below 7 K (MT1 phase), the NLTC signal becomes observable and significantly increases with decreasing temperature, whereas between 7 and 11.6 K (MT2 phase), it remains nearly zero. However, this result is incompatible with the previous research, which assigned the former and latter MT phases as antiferro- and ferro-MT structures, respectively. This discrepancy stems from an inappropriate assignment of MT structures in prior studies. Our analysis, based on multipole theory, redefines the MT1 and MT2 phases as ferri- and antiferro-MT structures, respectively, providing a coherent framework to explain the observed NLTC in HoAgGe. These findings not only establish NLTC as a robust diagnostic tool for identifying MT metals but also highlight its potential for exploring phenomena driven by the antiferroic interactions of MT dipoles.

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