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Anisotropic anomalous Hall effect in distorted kagome GdTi3Bi4

Avdhesh K. Sharma1, Bo Tai1, Subhajit Roychowdhury1,2, Premakumar Yanda1, Ulrich Burkhardt1, Xiaolong Feng1, Claudia Felser1,*, and Chandra Shekhar1,†

  • *Contact author: felser@cpfs.mpg.de
  • †Contact author: shekhar@cpfs.mpg.de

Phys. Rev. B 113, L060402 – Published 3 February, 2026

DOI: https://doi.org/10.1103/bnvq-rbdc

Abstract

Topological kagome magnets offer a rich landscape for exploring the intricate interplay of quantum interactions among geometry, topology, spin, and correlation. GdTi3Bi4 crystallizes in layered Ti-based kagome nets intertwined with zigzag Gd chains along the a axis and orders antiferromagnetically below ∼15K. Here, we present the temperature- and field-dependent electrical transport of GdTi3Bi4 in different directions. The material exhibits anomalous Hall conductivity (AHC) of 410Ω−1cm−1 at 2 K for μ0H∥c, and it is completely absent for μ0H∥a, despite the similar magnetizations observed in both orientations. This behavior is quite contradictory, as the anomalous Hall effect (AHE) typically scales with the magnetization. Through first-principles calculations, it is demonstrated that in the presence of time-reversal symmetry broken by the Gd 4f sublattice and spin-orbit coupling, the magnetization direction controls the orbital mixing in the Ti t2g bands, relocating Berry-curvature hot spots and producing the observed orientation-selective AHC. The results establish GdTi3Bi4 as a platform for investigating new avenues of the AHE, such as directional AHE, and thus shed light on the intricate coupling between magnetic and electronic structures, paving the way for exploring novel quantum phenomena.

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References (65)

  1. R. Karplus and J. M. Luttinger, Hall effect in ferromagnetics, Phys. Rev. 95, 1154 (1954).
  2. G. Bergmann, The anomalous Hall effect, Phys. Today 32(8), 25 (1979).
  3. N. Nagaosa, J. Sinova, S. Onoda, A. H. MacDonald, and N. P. Ong, Anomalous Hall effect, Rev. Mod. Phys. 82, 1539 (2010).
  4. H. Chen, Q. Niu, and A. H. MacDonald, Anomalous Hall effect arising from noncollinear antiferromagnetism, Phys. Rev. Lett. 112, 017205 (2014).
  5. S. Nakatsuji, N. Kiyohara, and T. Higo, Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature, Nature (London) 527, 212 (2015).
  6. L. Šmejkal, A. H. MacDonald, J. Sinova, S. Nakatsuji, and T. Jungwirth, Anomalous Hall antiferromagnets, Nat. Rev. Mater. 7, 482 (2022).
  7. I. Syôzi, Statistics of kagomé lattice, Prog. Theor. Phys. 6, 306 (1951).
  8. E. Liu, Y. Sun, N. Kumar, L. Muechler, A. Sun, L. Jiao, S.-Y. Yang, D. Liu, A. Liang, Q. Xu, et al., Giant anomalous Hall effect in a ferromagnetic kagome-lattice semimetal, Nat. Phys. 14, 1125 (2018).
  9. A. K. Nayak, J. E. Fischer, Y. Sun, B. Yan, J. Karel, A. C. Komarek, C. Shekhar, N. Kumar, W. Schnelle, J. Kübler, et al., Large anomalous Hall effect driven by a nonvanishing Berry curvature in the noncolinear antiferromagnet Mn3Ge, Sci. Adv. 2, e1501870 (2016).
  10. S. Roychowdhury, A. M. Ochs, S. N. Guin, K. Samanta, J. Noky, C. Shekhar, M. G. Vergniory, J. E. Goldberger, and C. Felser, Large room temperature anomalous transverse thermoelectric effect in kagome antiferromagnet YMn6Sn6, Adv. Mater. 34, 2201350 (2022).
  11. H. W. S. Arachchige, W. R. Meier, M. Marshall, T. Matsuoka, R. Xue, M. A. McGuire, R. P. Hermann, H. Cao, and D. Mandrus, Charge density wave in kagome lattice intermetallic ScV6Sn6, Phys. Rev. Lett. 129, 216402 (2022).
  12. F. H. Yu, D. H. Ma, W. Z. Zhuo, S. Q. Liu, X. K. Wen, B. Lei, J. J. Ying, and X. H. Chen, Unusual competition of superconductivity and charge-density-wave state in a compressed topological kagome metal, Nat. Commun. 12, 3645 (2021).
  13. S. Regmi, T. Fernando, Y. Zhao, A. P. Sakhya, G. Dhakal, I. Bin Elius, H. Vazquez, J. D. Denlinger, J. Yang, J.-H. Chu, et al., Spectroscopic evidence of flat bands in breathing kagome semiconductor Nb3I8, Commun. Mater. 3, 100 (2022).
  14. B. R. Ortiz, S. M. L. Teicher, Y. Hu, J. L. Zuo, P. M. Sarte, E. C. Schueller, A. M. M. Abeykoon, M. J. Krogstad, S. Rosenkranz, R. Osborn, et al., CsV3Sb5: A Z2 topological kagome metal with a superconducting ground state, Phys. Rev. Lett. 125, 247002 (2020).
  15. J. X. Yin, W. L. Ma, T. A. Cochran, X. T. Xu, S. T. S. Zhang, H. J. Tien, N. Shumiya, G. M. Cheng, K. Jiang, B. Lian, et al., Quantum-limit Chern topological magnetism in TbMn6Sn6, Nature (London) 583, 533 (2020).
  16. A. K. Sharma, S. Chatterjee, P. Yanda, C. Felser, and C. Shekhar, Topological quantum materials: Kagome, chiral, and square-net frameworks, arXiv:2507.12410.
  17. H. Chen, B. Hu, Y. H. Ye, H. T. Yang, and H. J. Gao, Superconductivity and unconventional density waves in vanadium-based kagome materials AV3Sb5, Chin. Phys. B 31, 097405 (2022).
  18. H. Chen, H. Yang, B. Hu, Z. Zhao, J. Yuan, Y. Xing, G. Qian, Z. Huang, G. Li, Y. Ye, et al., Roton pair density wave in a strong-coupling kagome superconductor, Nature (London) 599, 222 (2021).
  19. L. Nie, K. Sun, W. Ma, D. Song, L. Zheng, Z. Liang, P. Wu, F. Yu, J. Li, M. Shan, et al., Charge-density-wave-driven electronic nematicity in a kagome superconductor, Nature (London) 604, 59 (2022).
  20. B. R. Ortiz, L. C. Gomes, J. R. Morey, M. Winiarski, M. Bordelon, J. S. Mangum, I. W. H. Oswald, J. A. Rodriguez-Rivera, J. R. Neilson, S. D. Wilson, et al., New kagome prototype materials: Discovery of KV3Sb5, RbV3Sb5, and CsV3Sb5, Phys. Rev. Mater. 3, 094407 (2019).
  21. D. C. Fredrickson, S. Lidin, G. Venturini, B. Malaman, and J. Christensen, Origins of superstructure ordering and incommensurability in stuffed CoSn-type phases, J. Am. Chem. Soc. 130, 8195 (2008).
  22. W. Ma, X. Xu, J.-X. Yin, H. Yang, H. Zhou, Z.-J. Cheng, Y. Huang, Z. Qu, F. Wang, M. Z. Hasan, et al., Rare earth engineering in RMn6Sn6 (R=Gd–Tm, Lu) topological kagome magnets, Phys. Rev. Lett. 126, 246602 (2021).
  23. F. H. Yu, T. Wu, Z. Y. Wang, B. Lei, W. Z. Zhuo, J. J. Ying, and X. H. Chen, Concurrence of anomalous Hall effect and charge density wave in a superconducting topological kagome metal, Phys. Rev. B 104, L041103 (2021).
  24. S.-Y. Yang, Y. Wang, B. R. Ortiz, D. Liu, J. Gayles, E. Derunova, R. Gonzalez-Hernandez, L. Šmejkal, Y. Chen, S. S. P. Parkin, et al., Giant, unconventional anomalous Hall effect in the metallic frustrated magnet candidate, KV3Sb5, Sci. Adv. 6, eabb6003 (2020).
  25. M. H. Christensen, T. Birol, B. M. Andersen, and R. M. Fernandes, Loop currents in AV3Sb5 kagome metals: Multipolar and toroidal magnetic orders, Phys. Rev. B 106, 144504 (2022).
  26. D. Chen, C. C. Le, C. G. Fu, H. C. Lin, W. Schnelle, Y. Sun, and C. Felser, Large anomalous Hall effect in the kagome ferromagnet LiMn6Sn6, Phys. Rev. B 103, 144410 (2021).
  27. B. Lv, R. Zhong, X. Luo, S. Ma, C. Chen, S. Wang, Q. Luo, F. Gao, C. Fang, W. Ren, et al., Anomalous Hall effect in kagome ferromagnet YbMn6Sn6 single crystal, J. Alloys Compd. 957, 170356 (2023).
  28. C. Yi, X. Feng, N. Mao, P. Yanda, S. Roychowdhury, Y. Zhang, C. Felser, and C. Shekhar, Quantum oscillations revealing topological band in kagome metal ScV6Sn6, Phys. Rev. B 109, 035124 (2024).
  29. B. R. Ortiz, H. Miao, D. S. Parker, F. Yang, G. D. Samolyuk, E. M. Clements, A. Rajapitamahuni, T. Yilmaz, E. Vescovo, J. Yan, et al., Evolution of highly anisotropic magnetism in the titanium-based kagome metals LnTi3Bi4(Ln:La⋯Gd3+,Eu2+,Yb2+), Chem. Mater. 35, 9756 (2023).
  30. E. Cheng, N. Mao, X. Yang, B. Song, R. Lou, T. Ying, S. Nie, A. Fedorov, F. Bertran, and P. Ding, Striped magnetization plateau and chirality-reversible anomalous Hall effect in a magnetic kagome metal, arXiv:2409.01365.
  31. J. Guo, L. Zhou, J. Ding, G. Qu, Z. Liu, Y. Du, H. Zhang, J. Li, Y. Zhang, F. Zhou, et al., Tunable magnetism and band structure in kagome materials RETi3Bi4 family with weak interlayer interactions, Sci. Bull. 69, 2660 (2024).
  32. X. Han, H. Chen, Z. Cao, J. Guo, F. Fei, H. Tan, J. Guo, Y. Shi, R. Zhou, and R. Wang, Discovery of unconventional charge-spin-intertwined density wave in magnetic kagome metal GdTi3Bi4, arXiv:2503.05545.
  33. B. R. Ortiz, H. Zhang, K. Górnicka, D. S. Parker, G. D. Samolyuk, F. Yang, H. Miao, Q. Lu, R. G. Moore, A. F. May, et al., Intricate magnetic landscape in antiferromagnetic kagome metal TbTi3Bi4 and interplay with Ln2–xTi6+xBi9 (Ln: Tb···Lu) shurikagome metals, Chem. Mater. 36, 8002 (2024).
  34. R. Zhang, B. Yu, H. Tan, Y. Cheng, F. Shen, J. Yang, D. Mu, X. Han, A. Zong, et al., Observation of orbital-selective band reconstruction in an anisotropic antiferromagnetic kagome metal TbTi3Bi4, Phys. Rev. X 15, 031012 (2025).
  35. K. Guo, Z. Ma, H. Liu, Z. Wu, J. Wang, Y. Shi, Y. Li, and S. Jia, 1/3 and other magnetization plateaus in the quasi-one-dimensional Ising magnet TbTi3Bi4 with zigzag spin chain, Phys. Rev. B 110, 064416 (2024).
  36. Z. Zheng, L. Chen, X. Ji, Y. Zhou, G. Qu, M. Hu, Y. Huang, H. Weng, T. Qian, and G. Wang, Anisotropic magnetism and band evolution induced by ferromagnetic phase transition in titanium-based kagome ferromagnet SmTi3Bi4, Sci. China: Phys., Mech. Astron. 67, 267411 (2024).
  37. P. Park, B. R. Ortiz, M. Sprague, A. P. Sakhya, S. A. Chen, M. Frontzek, W. Tian, R. Sibille, D. G. Mazzone, and C. Tabata, Spin density wave and Van Hove singularity in the kagome metal CeTi3Bi4, Nat. Commun. 16, 4384 (2025).
  38. J. Guo, S. Zhu, R. Zhou, R. Wang, Y. Wang, J. Sun, Z. Zhao, X. Dong, J. Cheng, H. Yang, et al., Tunable bifurcation of magnetic anisotropy and bi-oriented antiferromagnetic order in kagome metal GdTi3Bi4, Phys. Rev. Lett. 134, 226704 (2025).
  39. C. Shekhar, N. Kumar, V. Grinenko, S. Singh, R. Sarkar, H. Luetkens, S.-C. Wu, Y. Zhang, A. C. Komarek, E. Kampert, et al., Anomalous Hall effect in Weyl semimetal half-Heusler compounds RPtBi (R=Gd and Nd), Proc. Natl. Acad. Sci. USA 115, 9140 (2018).
  40. T. Suzuki, R. Chisnell, A. Devarakonda, Y. T. Liu, W. Feng, D. Xiao, J. W. Lynn, and J. G. Checkelsky, Large anomalous Hall effect in a half-Heusler antiferromagnet, Nat. Phys. 12, 1119 (2016).
  41. N. Kikugawa, S. Uji, and T. Terashima, Anomalous Hall effect in the magnetic Weyl semimetal NdAlGe with plateaus observed at low temperatures, Phys. Rev. B 109, 035143 (2024).
  42. S. Roychowdhury, K. Samanta, S. Singh, W. Schnelle, Y. Zhang, J. Noky, M. G. Vergniory, C. Shekhar, and C. Felser, Enhancement of the anomalous Hall effect by distorting the kagome lattice in an antiferromagnetic material, Proc. Natl. Acad. Sci. USA 121, e2401970121 (2024).
  43. T. Hikihara, T. Momoi, A. Furusaki, and H. Kawamura, Magnetic phase diagram of the spin-½ antiferromagnetic zigzag ladder, Phys. Rev. B 81, 224433 (2010).
  44. K. Okunishi and T. Tonegawa, Magnetic phase diagram of the S=1/2 antiferromagnetic zigzag spin chain in the strongly frustrated region: Cusp and plateau, J. Phys. Soc. Jpn. 72, 479 (2003).
  45. See Supplemental Material at https://link.aps.org/supplemental/10.1103/bnvq-rbdc for the characterization data for GdTi3Bi4, the mobility and carrier concentration, the AHCs of various materials compared with GdTi3Bi4, and an illustration of the Brillouin zone of GdTi3Bi4.
  46. K. Zhao, H. Deng, H. Chen, K. A. Ross, V. Petříček, G. Günther, M. Russina, V. Hutanu, and P. Gegenwart, Realization of the kagome spin ice state in a frustrated intermetallic compound, Science 367, 1218 (2020).
  47. Y. Xiang, Q. Li, Y. Li, W. Xie, H. Yang, Z. Wang, Y. Yao, and H.-H. Wen, Twofold symmetry of c-axis resistivity in topological kagome superconductor CsV3Sb5 with in-plane rotating magnetic field, Nat. Commun. 12, 6727 (2021).
  48. Y. Pan, C. Le, B. He, S. J. Watzman, M. Yao, J. Gooth, J. P. Heremans, Y. Sun, and C. Felser, Giant anomalous Nernst signal in the antiferromagnet YbMnBi2, Nat. Mater. 21, 203 (2022).
  49. D. M. Vu, W. Shon, J.-S. Rhyee, M. Sasaki, A. Ohnishi, K.-S. Kim, and H.-J. Kim, Weak antilocalization and two-carrier electrical transport in Bi1−xSbx single crystals (0%≤x≤17.0%), Phys. Rev. B 100, 125162 (2019).
  50. C. Shekhar, C. E. ViolBarbosa, B. Yan, S. Ouardi, W. Schnelle, G. H. Fecher, and C. Felser, Evidence of surface transport and weak antilocalization in a single crystal of the Bi2Te2Se topological insulator, Phys. Rev. B 90, 165140 (2014).
  51. Y. Chen, J. Gaudet, G. G. Marcus, T. Nomoto, T. Chen, T. Tomita, M. Ikhlas, H. S. Suzuki, Y. Zhao, W. C. Chen, et al., Intertwined charge and spin density waves in a topological kagome material, Phys. Rev. Res. 6, L032016 (2024).
  52. J. Kübler and C. Felser, Weyl fermions in antiferromagnetic Mn3Sn and Mn3Ge, Europhys. Lett. 120, 47002 (2017).
  53. W. J. Xu, B. Zhang, Z. X. Liu, Z. Wang, W. Li, Z. B. Wu, R. H. Yu, and X. X. Zhang, Anomalous Hall effect in Fe/Gd bilayers, Europhys. Lett. 90, 27004 (2010).
  54. M. Lee, Y. Onose, Y. Tokura, and N. P. Ong, Hidden constant in the anomalous Hall effect of high-purity magnet MnSi, Phys. Rev. B 75, 172403 (2007).
  55. S. Sangiao, L. Morellon, G. Simon, J. M. De Teresa, J. A. Pardo, J. Arbiol, and M. R. Ibarra, Anomalous Hall effect in Fe (001) epitaxial thin films over a wide range in conductivity, Phys. Rev. B 79, 014431 (2009).
  56. N. Haham, Y. Shperber, M. Schultz, N. Naftalis, E. Shimshoni, J. W. Reiner, and L. Klein, Scaling of the anomalous Hall effect in SrRuO3, Phys. Rev. B 84, 174439 (2011).
  57. Z. B. Guo, W. B. Mi, Q. Zhang, B. Zhang, R. O. Aboljadayel, and X. X. Zhang, Anomalous Hall effect in polycrystalline Ni films, Solid State Commun. 152, 220 (2012).
  58. J. Kötzler and W. Gil, Anomalous Hall resistivity of cobalt films: Evidence for the intrinsic spin-orbit effect, Phys. Rev. B 72, 060412(R) (2005).
  59. T. Miyasato, N. Abe, T. Fujii, A. Asamitsu, S. Onoda, Y. Onose, N. Nagaosa, and Y. Tokura, Crossover behavior of the anomalous Hall effect and anomalous Nernst effect in itinerant ferromagnets, Phys. Rev. Lett. 99, 086602 (2007).
  60. D. Xiao, M.-C. Chang, and Q. Niu, Berry phase effects on electronic properties, Rev. Mod. Phys. 82, 1959 (2010).
  61. Y. Yao, L. Kleinman, A. H. MacDonald, J. Sinova, T. Jungwirth, D.-S. Wang, E. Wang, and Q. Niu, First principles calculation of anomalous Hall conductivity in ferromagnetic bcc Fe, Phys. Rev. Lett. 92, 037204 (2004).
  62. D. Hobbs, G. Kresse, and J. Hafner, Fully unconstrained noncollinear magnetism within the projector augmented-wave method, Phys. Rev. B 62, 11556 (2000).
  63. J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
  64. S. L. Dudarev, G. A. Botton, S. Y. Savrasov, C. J. Humphreys, and A. P. Sutton, Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study, Phys. Rev. B 57, 1505 (1998).
  65. H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B 13, 5188 (1976).

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