Abstract
The anomalous Hall effect (AHE) in magnetic systems is typically governed by symmetry constraints that require the Hall response to be proportional to the out-of-plane magnetization component. Here we demonstrate the emergence of an unconventional in-plane AHE in a low-dimensional heterostructure. By interfacing a low-symmetry topological semimetal with a ferromagnetic insulator, we realize a system with reduced symmetry in which only a single mirror plane is preserved. When the magnetization acquires a finite component within this mirror plane, the remaining symmetry is broken, enabling a Hall response that depends on both in-plane and out-of-plane magnetization components. Measurements across multiple devices reveal a gate-tunable AHE, indicating electrostatic control of the underlying mechanisms. A minimal symmetry-constrained microscopic model shows that interfacial spin–orbit coupling and exchange interaction are responsible for the observed multidirectional AHE response. Our work establishes a pathway for engineering tunable, symmetry-driven Hall effects in low-dimensional quantum materials.
This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$32.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Buy this article
- Purchase on SpringerLink
- Instant access to the full article PDF.
USD 39.95
Prices may be subject to local taxes which are calculated during checkout




Data availability
All the data supporting the findings of this study are available in the article and its Supplementary Information. Source data are provided with this paper.
References
Xiao, D., Chang, M.-C. & Niu, Q. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959–2007 (2010).
Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H. & Ong, N. P. Anomalous Hall effect. Rev. Mod. Phys. 82, 1539–1592 (2010).
Karplus, R. & Luttinger, J. Hall effect in ferromagnetics. Phys. Rev. 95, 1154 (1954).
Luttinger, J. Theory of the Hall effect in ferromagnetic substances. Phys. Rev. 112, 739 (1958).
Smit, J. The spontaneous Hall effect in ferromagnetics ii. Physica 24, 39–51 (1958).
Berger, L. Side-jump mechanism for the Hall effect of ferromagnets. Phys. Rev. B 2, 4559 (1970).
Tan, H., Liu, Y. & Yan, B. Unconventional anomalous Hall effect from magnetization parallel to the electric field. Phys. Rev. B 103, 214438 (2021).
Cao, J. et al. In-plane anomalous Hall effect in PT-symmetric antiferromagnetic materials. Phys. Rev. Lett. 130, 166702 (2023).
Zhang, Y. & Zhang, C. Quantized anomalous Hall insulator in a nanopatterned two-dimensional electron gas. Phys. Rev. B 84, 085123 (2011).
Liu, X., Hsu, H.-C. & Liu, C.-X. In-plane magnetization-induced quantum anomalous Hall effect. Phys. Rev. Lett. 111, 086802 (2013).
Liu, Z. et al. Intrinsic quantum anomalous Hall effect with in-plane magnetization: searching rule and material prediction. Phys. Rev. Lett. 121, 246401 (2018).
Wang, L. et al. Orbital magneto-nonlinear anomalous Hall effect in kagome magnet Fe3Sn2. Phys. Rev. Lett. 132, 106601 (2024).
Li, D., Wang, M., Li, D. & Zhou, J. Switchable in-plane anomalous Hall effect by magnetization orientation in monolayer Mn3Si2Te6. Phys. Rev. B 109, 155153 (2024).
Sheoran, S. & Dev, P. Spontaneous anomalous Hall effect in two-dimensional altermagnets. Phys. Rev. B 111, 184407 (2025).
Kumar, N., Soh, Y., Wang, Y., Li, J. & Xiong, Y. Anomalous planar Hall effect in a kagome ferromagnet. Preprint at https://arxiv.org/abs/2005.14237 (2020).
Nakamura, A. et al. In-plane anomalous Hall effect associated with orbital magnetization: measurements of low-carrier density films of a magnetic Weyl semimetal. Phys. Rev. Lett. 133, 236602 (2024).
Wang, L. et al. In-plane Hall effect in \({\mathrm{Co}}_{3}{\mathrm{Sn}}_{2}{{\rm{S}}}_{2}\).Phys. Rev. B 111, 054412 (2025).
Liang, T. et al. Anomalous hall effect in ZrTe5. Nat. Phys. 14, 451–455 (2018).
Galeski, S. et al. Unconventional Hall response in the quantum limit of HfTe5. Nat. Commun. 11, 5926 (2020).
Ge, J. et al. Unconventional hall effect induced by Berry curvature. Natl Sci. Rev. 7, 1879–1885 (2020).
Peng, W. et al. Observation of the in-plane anomalous Hall effect induced by octupole in magnetization space. Preprint at https://arxiv.org/abs/2402.15741 (2024).
Zhou, J. et al. Heterodimensional superlattice with in-plane anomalous Hall effect. Nature 609, 46–51 (2022).
Liu, Y. & Shao, Q. Two-dimensional materials for energy-efficient spin–orbit torque devices. ACS Nano 14, 9389–9407 (2020).
Koepernik, K. et al. TaIrTe4: a ternary type-II Weyl semimetal. Phys. Rev. B 93, 201101 (2016).
Haubold, E. et al. Experimental realization of type-II Weyl state in noncentrosymmetric TaIrTe4. Phys. Rev. B 95, 241108 (2017).
Guo, P.-J., Lu, X.-Q., Ji, W., Liu, K. & Lu, Z.-Y. Quantum spin Hall effect in monolayer and bilayer TaIrTe4. Phys. Rev. B 102, 041109 (2020).
Tang, J. et al. Dual quantum spin Hall insulator by density-tuned correlations in TaIrTe4. Nature 628, 515–521 (2024).
Zhang, X. et al. Magnetic anisotropy of the single-crystalline ferromagnetic insulator Cr2Ge2Te6. Jpn J. Appl. Phys. 55, 033001 (2016).
Gong, C. et al. Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals. Nature 546, 265–269 (2017).
Onsager, L. Reciprocal relations in irreversible processes. II. Phys. Rev. 38, 2265 (1931).
Liu, Y. et al. Raman signatures of broken inversion symmetry and in-plane anisotropy in type-II Weyl semimetal candidate tairte4. Adv. Mater. 30, 1706402 (2018).
Li, D. et al. Room-temperature van der Waals magnetoresistive memories with data writing by orbital current in the Weyl semimetal TaIrTe4. Phys. Rev. B 110, 035423 (2024).
Kao, I.-H. et al. Deterministic switching of a perpendicularly polarized magnet using unconventional spin–orbit torques in WTe2. Nat. Mater. 21, 1029–1034 (2022).
Kao, I.-H. et al. Unconventional unidirectional magnetoresistance in heterostructures of a topological semimetal and a ferromagnet. Nat. Mater. 24, 1049–1057 (2025).
Liu, Y. et al. Field-free switching of perpendicular magnetization at room temperature using out-of-plane spins from TaIrTe4. Nat. Electron. 6, 732–738 (2023).
Wang, Z. et al. Electric-field control of magnetism in a few-layered van der Waals ferromagnetic semiconductor. Nat. Nanotechnol. 13, 554–559 (2018).
Zhuo, W. et al. Manipulating ferromagnetism in few-layered Cr2Ge2Te6. Adv. Mater. 33, 2008586 (2021).
Carteaux, V., Brunet, D., Ouvrard, G. & Andre, G. Crystallographic, magnetic and electronic structures of a new layered ferromagnetic compound Cr2Ge2Te6. J. Phys. Condens. Matter 7, 69–87 (1995).
Lu, Y. et al. Hybrid magnetoresistance in the proximity of a ferromagnet. Phys. Rev. B 87, 220409 (2013).
Chong, S. K. et al. Topological insulator-based van der Waals heterostructures for effective control of massless and massive Dirac fermions. Nano Lett. 18, 8047–8053 (2018).
Lohmann, M. et al. Probing magnetism in insulating Cr2Ge2Te6 by induced anomalous Hall effect in Pt. Nano Lett. 19, 2397–2403 (2019).
Mogi, M. et al. Large anomalous Hall effect in topological insulators with proximitized ferromagnetic insulators. Phys. Rev. Lett. 123, 016804 (2019).
Gupta, V. et al. Gate-tunable anomalous Hall effect in a 3D topological insulator/2D magnet van der Waals heterostructure. Nano Lett. 22, 7166–7172 (2022).
Llacsahuanga Allcca, A. E., Pan, X.-C., Miotkowski, I., Tanigaki, K. & Chen, Y. P. Gate-tunable anomalous Hall effect in stacked van der Waals ferromagnetic insulator–topological insulator heterostructures. Nano Lett. 22, 8130–8136 (2022).
Jain, R. et al. A quantized anomalous Hall effect above 4.2 K in stacked topological insulator/magnet bilayers. Preprint at https://arxiv.org/abs/2412.05380 (2024).
Onoda, S., Sugimoto, N. & Nagaosa, N. Quantum transport theory of anomalous electric, thermoelectric, and thermal hall effects in ferromagnets. Phys. Rev. B 77, 165103 (2008).
Weischenberg, J., Freimuth, F., Sinova, J., Blügel, S. & Mokrousov, Y. Ab initio theory of the scattering-independent anomalous Hall effect. Phys. Rev. Lett. 107, 106601 (2011).
Lowitzer, S., Koedderitzsch, D. & Ebert, H. Coherent description of the intrinsic and extrinsic anomalous Hall effect in disordered alloys on an ab initio level. Phys. Rev. Lett. 105, 266604 (2010).
Jones, A. J. et al. Observation of electrically tunable van Hove singularities in twisted bilayer graphene from nanoarpes. Adv. Mater. 32, 2001656 (2020).
Sanchez-Yamagishi, J. D. et al. Helical edge states and fractional quantum Hall effect in a graphene electron–hole bilayer. Nat. Nanotechnol. 12, 118–122 (2017).
Tang, H., Kawakami, R., Awschalom, D. & Roukes, M. Giant planar hall effect in epitaxial (Ga, Mn) as devices. Phys. Rev. Lett. 90, 107201 (2003).
Seemann, K. et al. Origin of the planar Hall effect in nanocrystalline Co60Fe20B20. Phys. Rev. Lett. 107, 086603 (2011).
Nandy, S., Sharma, G., Taraphder, A. & Tewari, S. Chiral anomaly as the origin of the planar Hall effect in Weyl semimetals. Phys. Rev. Lett. 119, 176804 (2017).
Burkov, A. Giant planar Hall effect in topological metals. Phys. Rev. B 96, 041110 (2017).
Cai, S. et al. Observation of superconductivity in the pressurized Weyl-semimetal candidate TaIrTe4. Phys. Rev. B 99, 020503 (2019).
Liu, S. et al. Single crystal growth of millimeter-sized monoisotopic hexagonal boron nitride. Chem. Mater. 30, 6222–6225 (2018).
Sinitsyn, N. A. Semiclassical theories of the anomalous Hall effect. J. Phys. Condens. Matter 20, 023201 (2007).
Acknowledgements
S. Singh acknowledges the financial support from U.S. Office of Naval Research (ONR) under award no. N00014-23-1-2751, National Science Foundation (NSF) through grant nos. ECCS-2208057, DMR-2210510 and ECCS-2531211, and from the Center for Emergent Materials at The Ohio State University, an NSF MRSEC, through award no. DMR-2011876. S. Singh also acknowledges financial support from NSF-CAREER Award through grant no. ECCS-2339723. J.K. acknowledges the financial support from ONR under award no. N00014-23-1-2751, the Center for Emergent Materials at The Ohio State University, an NSF MRSEC, through award no. DMR-2011876, and the US Department Office of Science, Office of Basic Sciences, of the US Department of Energy through award no. DE-SC002549 (for device fabrication). J.K. also acknowledges financial support from NSF-CAREER Award under grant no. DMR-2339309. Q.M. and J.T. acknowledge support from the ONR under grant no. N00014-24-1-2102 and from the NSF under grant no. 2522383. The single crystal growth and characterization of TaIrTe4 at UCLA were supported by the US Department of Energy (DOE), Office of Science, Office of Basic Energy Sciences under award no. DE-SC0021117. J.H.E. acknowledges the support for hBN crystal growth from the US Office of Naval Research under award no. N00014-22-1-2582. K.W. and T.T. acknowledge support from the JSPS KAKENHI (grant nos. 21H05233 and 23H02052), the CREST (JPMJCR24A5), JST and World Premier International Research Center Initiative (WPI), MEXT, Japan. We acknowledge A. J. Williams for providing the schematic of TaIrTe4 crystal structure used in the figures. We also thank R. Cheng and J. Tang for insightful discussions.
Author information
Authors and Affiliations
Contributions
S. Singh and J.K. supervised the research. I.-H.K. and R.K.B. prepared the devices, performed measurements and analysed the data with assistance of Z.C., S.S., A.T., M.-T.C. and R.P. J.T., Q.M. and S.-Y.X. provided the support for sample and device preparation. S.Z. and S.C. provided the theoretical support. R.R. carried out polarized Raman measurements. T.Q. and N.N. grew the bulk crystals of TaIrTe4. J.L., J.H.E., K.W. and T.T. provided the bulk h-BN crystals. All authors contributed to writing the paper.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature Materials thanks Gang Cao and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Supplementary Information (download PDF )
Supplementary Figs. 1–10 and Table 1.
Source data
Source Data Fig. 1 (download XLSX )
Statistical source data for Fig. 1.
Source Data Fig. 2 (download XLSX )
Statistical source data for Fig. 2.
Source Data Fig. 3 (download XLSX )
Statistical source data for Fig. 3.
Source Data Fig. 4 (download XLSX )
Statistical source data for Fig. 4.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Kao, IH., Bandapelli, R.K., Cui, Z. et al. In-plane anomalous Hall effect in a low-dimensional system. Nat. Mater. (2026). https://doi.org/10.1038/s41563-026-02611-9
Received:
Accepted:
Published:
Version of record:
DOI: https://doi.org/10.1038/s41563-026-02611-9