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In-plane anomalous Hall effect in a low-dimensional system

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.

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Fig. 1: AHE and crystal symmetry.
The alternative text for this image may have been generated using AI.
Fig. 2: Out-of-plane magnetization induced AHE in the TaIrTe4/CGT system.
The alternative text for this image may have been generated using AI.
Fig. 3: In-plane magnetization induced AHE in TaIrTe4/CGT system.
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Fig. 4: Rotational invariance of in-plane AHE in the TaIrTe4/CGT system.
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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

  1. Xiao, D., Chang, M.-C. & Niu, Q. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959–2007 (2010).

    Article  CAS  Google Scholar 

  2. Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H. & Ong, N. P. Anomalous Hall effect. Rev. Mod. Phys. 82, 1539–1592 (2010).

    Article  Google Scholar 

  3. Karplus, R. & Luttinger, J. Hall effect in ferromagnetics. Phys. Rev. 95, 1154 (1954).

    Article  Google Scholar 

  4. Luttinger, J. Theory of the Hall effect in ferromagnetic substances. Phys. Rev. 112, 739 (1958).

    Article  CAS  Google Scholar 

  5. Smit, J. The spontaneous Hall effect in ferromagnetics ii. Physica 24, 39–51 (1958).

    Article  CAS  Google Scholar 

  6. Berger, L. Side-jump mechanism for the Hall effect of ferromagnets. Phys. Rev. B 2, 4559 (1970).

    Article  Google Scholar 

  7. Tan, H., Liu, Y. & Yan, B. Unconventional anomalous Hall effect from magnetization parallel to the electric field. Phys. Rev. B 103, 214438 (2021).

    Article  CAS  Google Scholar 

  8. Cao, J. et al. In-plane anomalous Hall effect in PT-symmetric antiferromagnetic materials. Phys. Rev. Lett. 130, 166702 (2023).

    Article  CAS  PubMed  Google Scholar 

  9. Zhang, Y. & Zhang, C. Quantized anomalous Hall insulator in a nanopatterned two-dimensional electron gas. Phys. Rev. B 84, 085123 (2011).

    Article  Google Scholar 

  10. Liu, X., Hsu, H.-C. & Liu, C.-X. In-plane magnetization-induced quantum anomalous Hall effect. Phys. Rev. Lett. 111, 086802 (2013).

    Article  PubMed  Google Scholar 

  11. Liu, Z. et al. Intrinsic quantum anomalous Hall effect with in-plane magnetization: searching rule and material prediction. Phys. Rev. Lett. 121, 246401 (2018).

    Article  PubMed  Google Scholar 

  12. Wang, L. et al. Orbital magneto-nonlinear anomalous Hall effect in kagome magnet Fe3Sn2. Phys. Rev. Lett. 132, 106601 (2024).

    Article  CAS  PubMed  Google Scholar 

  13. 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).

    Article  CAS  Google Scholar 

  14. Sheoran, S. & Dev, P. Spontaneous anomalous Hall effect in two-dimensional altermagnets. Phys. Rev. B 111, 184407 (2025).

  15. 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).

  16. 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).

    Article  CAS  PubMed  Google Scholar 

  17. Wang, L. et al. In-plane Hall effect in \({\mathrm{Co}}_{3}{\mathrm{Sn}}_{2}{{\rm{S}}}_{2}\).Phys. Rev. B 111, 054412 (2025).

    Article  CAS  Google Scholar 

  18. Liang, T. et al. Anomalous hall effect in ZrTe5. Nat. Phys. 14, 451–455 (2018).

    Article  CAS  Google Scholar 

  19. Galeski, S. et al. Unconventional Hall response in the quantum limit of HfTe5. Nat. Commun. 11, 5926 (2020).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  20. Ge, J. et al. Unconventional hall effect induced by Berry curvature. Natl Sci. Rev. 7, 1879–1885 (2020).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  21. 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).

  22. Zhou, J. et al. Heterodimensional superlattice with in-plane anomalous Hall effect. Nature 609, 46–51 (2022).

    Article  CAS  PubMed  Google Scholar 

  23. Liu, Y. & Shao, Q. Two-dimensional materials for energy-efficient spin–orbit torque devices. ACS Nano 14, 9389–9407 (2020).

    Article  CAS  PubMed  Google Scholar 

  24. Koepernik, K. et al. TaIrTe4: a ternary type-II Weyl semimetal. Phys. Rev. B 93, 201101 (2016).

    Article  Google Scholar 

  25. Haubold, E. et al. Experimental realization of type-II Weyl state in noncentrosymmetric TaIrTe4. Phys. Rev. B 95, 241108 (2017).

    Article  Google Scholar 

  26. 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).

    Article  CAS  Google Scholar 

  27. Tang, J. et al. Dual quantum spin Hall insulator by density-tuned correlations in TaIrTe4. Nature 628, 515–521 (2024).

    Article  CAS  PubMed  Google Scholar 

  28. Zhang, X. et al. Magnetic anisotropy of the single-crystalline ferromagnetic insulator Cr2Ge2Te6. Jpn J. Appl. Phys. 55, 033001 (2016).

    Article  Google Scholar 

  29. Gong, C. et al. Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals. Nature 546, 265–269 (2017).

    Article  CAS  PubMed  Google Scholar 

  30. Onsager, L. Reciprocal relations in irreversible processes. II. Phys. Rev. 38, 2265 (1931).

    Article  CAS  Google Scholar 

  31. 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).

    Article  Google Scholar 

  32. 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).

    Article  CAS  Google Scholar 

  33. 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).

    Article  CAS  PubMed  Google Scholar 

  34. Kao, I.-H. et al. Unconventional unidirectional magnetoresistance in heterostructures of a topological semimetal and a ferromagnet. Nat. Mater. 24, 1049–1057 (2025).

    Article  CAS  PubMed  Google Scholar 

  35. 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).

    Article  CAS  Google Scholar 

  36. Wang, Z. et al. Electric-field control of magnetism in a few-layered van der Waals ferromagnetic semiconductor. Nat. Nanotechnol. 13, 554–559 (2018).

    Article  CAS  PubMed  Google Scholar 

  37. Zhuo, W. et al. Manipulating ferromagnetism in few-layered Cr2Ge2Te6. Adv. Mater. 33, 2008586 (2021).

    Article  CAS  Google Scholar 

  38. 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).

    Article  CAS  Google Scholar 

  39. Lu, Y. et al. Hybrid magnetoresistance in the proximity of a ferromagnet. Phys. Rev. B 87, 220409 (2013).

    Article  Google Scholar 

  40. 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).

    Article  CAS  PubMed  Google Scholar 

  41. Lohmann, M. et al. Probing magnetism in insulating Cr2Ge2Te6 by induced anomalous Hall effect in Pt. Nano Lett. 19, 2397–2403 (2019).

    Article  CAS  PubMed  Google Scholar 

  42. Mogi, M. et al. Large anomalous Hall effect in topological insulators with proximitized ferromagnetic insulators. Phys. Rev. Lett. 123, 016804 (2019).

    Article  CAS  PubMed  Google Scholar 

  43. 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).

    Article  CAS  PubMed  Google Scholar 

  44. 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).

    Article  CAS  PubMed  Google Scholar 

  45. 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).

  46. 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).

    Article  Google Scholar 

  47. 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).

    Article  PubMed  Google Scholar 

  48. 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).

    Article  CAS  PubMed  Google Scholar 

  49. Jones, A. J. et al. Observation of electrically tunable van Hove singularities in twisted bilayer graphene from nanoarpes. Adv. Mater. 32, 2001656 (2020).

    Article  CAS  Google Scholar 

  50. 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).

    Article  CAS  PubMed  Google Scholar 

  51. Tang, H., Kawakami, R., Awschalom, D. & Roukes, M. Giant planar hall effect in epitaxial (Ga, Mn) as devices. Phys. Rev. Lett. 90, 107201 (2003).

    Article  CAS  PubMed  Google Scholar 

  52. Seemann, K. et al. Origin of the planar Hall effect in nanocrystalline Co60Fe20B20. Phys. Rev. Lett. 107, 086603 (2011).

    Article  CAS  PubMed  Google Scholar 

  53. 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).

    Article  CAS  PubMed  Google Scholar 

  54. Burkov, A. Giant planar Hall effect in topological metals. Phys. Rev. B 96, 041110 (2017).

    Article  Google Scholar 

  55. Cai, S. et al. Observation of superconductivity in the pressurized Weyl-semimetal candidate TaIrTe4. Phys. Rev. B 99, 020503 (2019).

    Article  CAS  Google Scholar 

  56. Liu, S. et al. Single crystal growth of millimeter-sized monoisotopic hexagonal boron nitride. Chem. Mater. 30, 6222–6225 (2018).

    Article  CAS  Google Scholar 

  57. Sinitsyn, N. A. Semiclassical theories of the anomalous Hall effect. J. Phys. Condens. Matter 20, 023201 (2007).

    Article  Google Scholar 

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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.

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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.

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Correspondence to Simranjeet Singh.

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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

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