Abstract
Magnetic Weyl semimetals with broken time-reversal symmetry are expected to generate strong intrinsic anomalous Hall effects, due to their large Berry curvature. Here, we report a magnetic Weyl semimetal candidate, Co3Sn2S2, with a quasi-two-dimensional crystal structure consisting of stacked kagome lattices. This lattice provides an excellent platform for hosting exotic topological quantum states. We observe a negative magnetoresistance that is consistent with the chiral anomaly expected from the presence of Weyl fermions close to the Fermi level. The anomalous Hall conductivity is robust against both increased temperature and charge conductivity, which corroborates the intrinsic Berry-curvature mechanism in momentum space. Owing to the low carrier density in this material and the considerably enhanced Berry curvature from its band structure, the anomalous Hall conductivity and the anomalous Hall angle simultaneously reach 1,130 Ω−1 cm−1 and 20%, respectively, an order of magnitude larger than typical magnetic systems. Combining the kagome-lattice structure and the long-range out-of-plane ferromagnetic order of Co3Sn2S2, we expect that this material is an excellent candidate for observation of the quantum anomalous Hall state in the two-dimensional limit.
Access options
Subscribe to Journal
Get full journal access for 1 year
$187.00
only $15.58 per issue
All prices are NET prices.
VAT will be added later in the checkout.
Rent or Buy article
Get time limited or full article access on ReadCube.
from$8.99
All prices are NET prices.





References
- 1.
Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H. & Ong, N. P. Anomalous Hall effect. Rev. Mod. Phys. 82, 1539–1592 (2010).
- 2.
Fang, Z. et al. The anomalous Hall effect and magnetic monopoles in momentum space. Science 302, 92–95 (2003).
- 3.
Haldane, F. D. M. Berry curvature on the Fermi surface: Anomalous Hall effect as a topological Fermi-liquid property. Phys. Rev. Lett. 93, 206602 (2004).
- 4.
Xiao, D., Chang, M. C. & Niu, Q. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959–2007 (2010).
- 5.
Nakatsuji, S., Kiyohara, N. & Higo, T. Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature. Nature 527, 212–215 (2015).
- 6.
Weng, H. M., Fang, C., Fang, Z., Bernevig, B. A. & Dai, X. Weyl semimetal phase in noncentrosymmetric transition-metal monophosphides. Phys. Rev. X 5, 011029 (2015).
- 7.
Yan, B. & Felser, C. Topological materials: Weyl semimetals. Annu. Rev. Condens. Matter Phys. 8, 337–354 (2017).
- 8.
Weng, H. M., Yu, R., Hu, X., Dai, X. & Fang, Z. Quantum anomalous Hall effect and related topological electronic states. Adv. Phys. 64, 227–282 (2015).
- 9.
Liu, C.-X., Zhang, S.-C. & Qi, X.-L. The quantum anomalous Hall effect: Theory and experiment. Annu. Rev. Condens. Matter Phys. 7, 301–321 (2016).
- 10.
Yu, R. et al. Quantized anomalous Hall effect in magnetic topological insulators. Science 329, 61–64 (2010).
- 11.
Chang, C.-Z. et al. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator. Science 340, 167–170 (2013).
- 12.
Fang, C., Gilbert, M. J. & Bernevig, B. A. Large-Chern-number quantum anomalous Hall effect in thin-film topological crystalline insulators. Phys. Rev. Lett. 112, 046801 (2014).
- 13.
Kou, X. et al. Scale-invariant quantum anomalous Hall effect in magnetic topological insulators beyond the two-dimensional limit. Phys. Rev. Lett. 113, 137201 (2014).
- 14.
Burkov, A. A. & Balents, L. Weyl semimetal in a topological insulator multilayer. Phys. Rev. Lett. 107, 127205 (2011).
- 15.
Zyuzin, A. A., Wu, S. & Burkov, A. A. Weyl semimetal with broken time reversal and inversion symmetries. Phys. Rev. B 85, 165110 (2012).
- 16.
Wang, X., Vanderbilt, D., Yates, J. R. & Souza, I. Fermi-surface calculation of the anomalous Hall conductivity. Phys. Rev. B 76, 195109 (2007).
- 17.
Burkov, A. A. Anomalous Hall effect in Weyl metals. Phys. Rev. Lett. 113, 187202 (2014).
- 18.
Wan, X. G., Turner, A. M., Vishwanath, A. & Savrasov, S. Y. Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates. Phys. Rev. B 83, 205101 (2011).
- 19.
Xu, G., Weng, H. M., Wang, Z. J., Dai, X. & Fang, Z. Chern semimetal and the quantized anomalous Hall effect in HgCr2Se4. Phys. Rev. Lett. 107, 186806 (2011).
- 20.
Kübler, J. & Felser, C. Weyl points in the ferromagnetic Heusler compound Co2MnAl. Europhys. Lett. 114, 47005 (2016).
- 21.
Wang, Z. J. et al. Time-reversal-breaking Weyl fermions in magnetic Heusler alloys. Phys. Rev. Lett. 117, 236401 (2016).
- 22.
Chang, G. Q. et al. Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co2TiX (X = Si, Ge, or Sn). Sci. Rep. 6, 38839 (2016).
- 23.
Suzuki, T. et al. Large anomalous Hall effect in a half-Heusler antiferromagnet. Nat. Phys. 12, 1119–1123 (2016).
- 24.
Ohgushi, K., Murakami, S. & Nagaosa, N. Spin anisotropy and quantum Hall effect in the kagome lattice: Chiral spin state based on a ferromagnet. Phys. Rev. B 62, R6065–R6068 (2000).
- 25.
Xu, G., Lian, B. & Zhang, S.-C. Intrinsic quantum anomalous Hall effect in the Kagome lattice Cs2LiMn3F12. Phys. Rev. Lett. 115, 186802 (2015).
- 26.
Ye, L. et al. Massive Dirac fermions in a ferromagnetic kagome metal. Nature 555, 638–642 (2018).
- 27.
Weihrich, R., Anusca, I. & Zabel, M. Half-antiperovskites: Structure and type-antitype relations of Shandites M3/2AS (M = Co, Ni; A = In, Sn). Z. Anorg. Allg. Chem. 631, 1463–1470 (2005).
- 28.
Weihrich, R. & Anusca, I. Half antiperovskites. III - Crystallographic and electronic structure effects in Sn2-xInxCo3S2. Z. Anorg. Allg. Chem. 632, 1531–1537 (2006).
- 29.
Vaqueiro, P. & Sobany, G. G. A powder neutron diffraction study of the metallic ferromagnet Co3Sn2S2. Solid State Sci. 11, 513–518 (2009).
- 30.
Schnelle, W. et al. Ferromagnetic ordering and half-metallic state of Sn2Co3S2 with the Shandite-type structure. Phys. Rev. B 88, 144404 (2013).
- 31.
Dedkov, Y. S., Holder, M., Molodtsov, S. L. & Rosner, H. Electronic structure of shandite Co3Sn2S2. J. Phys. Conf. Ser. 100, 072011 (2008).
- 32.
Holder, M. et al. Photoemission study of electronic structure of the half-metallic ferromagnet Co3Sn2S2. Phys. Rev. B 79, 205116 (2009).
- 33.
Ali, M. N. et al. Large, non-saturating magnetoresistance in WTe2. Nature 514, 205–208 (2014).
- 34.
Kumar, N. et al. Extremely high magnetoresistance and conductivity in the type-II Weyl semimetals WP2 and MoP2. Nat. Commun. 8, 1642 (2017).
- 35.
Ziman, J. M. Electrons and Phonons: Theory of Transport Phenomena in Solids (Oxford Univ. Press, Oxford, 1960).
- 36.
Xu, Q. et al. Topological surface Fermi arcs in the magnetic Weyl semimetal Co3Sn2S2. Phys. Rev. B 97, 235416 (2018).
- 37.
Nielsen, H. B. & Ninomiya, M. The Adler–Bell–Jackiw anomaly and Weyl fermions in a crystal. Phys. Lett. B 130, 389–396 (1983).
- 38.
Son, D. T. & Spivak, B. Z. Chiral anomaly and classical negative magnetoresistance of Weyl metals. Phys. Rev. B 88, 104412 (2013).
- 39.
Onoda, S., Sugimoto, N. & Nagaosa, N. Intrinsic versus extrinsic anomalous Hall effect in ferromagnets. Phys. Rev. Lett. 97, 126602 (2006).
- 40.
Miyasato, T. et al. Crossover behavior of the anomalous Hall effect and anomalous Nernst effect in itinerant ferromagnets. Phys. Rev. Lett. 99, 086602 (2007).
- 41.
Yue, D. & Jin, X. Towards a better understanding of the anomalous Hall effect. J. Phys. Soc. Jpn 86, 011006 (2016).
- 42.
Gantmakher, V. F. The experimental study of electron–phonon scattering in metals. Rep. Prog. Phys. 37, 317–362 (1974).
- 43.
Checkelsky, J. G. et al. Trajectory of the anomalous Hall effect towards the quantized state in a ferromagnetic topological insulator. Nat. Phys. 10, 731–736 (2014).
- 44.
Samarth, N. Quantum materials discovery from a synthesis perspective. Nat. Mater. 16, 1068–1076 (2017).
- 45.
Chan, C.-K., Lee, P. A., Burch, K. S., Han, J. H. & Ran, Y. When chiral photons meet chiral fermions: Photoinduced anomalous Hall effects in Weyl semimetals. Phys. Rev. Lett. 116, 026805 (2016).
- 46.
Ikhlas, M. et al. Large anomalous Nernst effect at room temperature in a chiral antiferromagnet. Nat. Phys. 13, 1085–1090 (2017).
- 47.
Rajamathi, C. R. et al. Weyl semimetals as hydrogen evolution catalysts. Adv. Mater. 29, 1606202 (2017).
- 48.
Yang, B.-J., Moon, E.-G., Isobe, H., & Nagaosa, N. Quantum criticality of topological phase transitions in three-dimensional interacting electronic systems. Nat. Phys. 10, 774–778 (2014).
- 49.
Kurebayashi, D. & Nomura, K. Voltage-driven magnetization switching and spin pumping in Weyl semimetals. Phys. Rev. Appl. 6, 044013 (2016).
- 50.
Tokura, Y., Kawasaki, M. & Nagaosa, N. Emergent functions of quantum materials. Nat. Phys. 13, 1056–1068 (2017).
- 51.
Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).
- 52.
Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).
- 53.
Mostofi, A. A. et al. wannier90: A tool for obtaining maximally-localised Wannier functions. Comput. Phys. Commun. 178, 685–699 (2008).
Acknowledgements
This work was financially supported by the European Research Council (ERC) Advanced Grant (No. 291472) ‘IDEA Heusler!’ and ERC Advanced Grant (No. 742068) ‘TOPMAT’. E.L. acknowledges support from the Alexander von Humboldt Foundation of Germany for his Fellowship and from the National Natural Science Foundation of China for his Excellent Young Scholarship (No. 51722106).
Author information
Affiliations
Contributions
The project was conceived by E.L. and C.F. Single crystals were grown by E.L., who performed the structural, magnetic and transport measurements with assistance from A.S., J.K., S.Y., V.S., H.B., N.K. and W.S. The STM characterizations were performed by L.J. and S.W. The ARPES measurements were conducted by D.L., A.L. and Y.C. The static high-magnetic-field measurements were performed and analysed by Z.W., C.X., N.K., C.S. and L.J. The theoretical calculations were carried out by Y.S., L.M., Q.X. and E.L. All the authors discussed the results. The paper was written by E.L., Y.S. and S.T.B.G. with feedback from all the authors. The project was supervised by C.F.
Corresponding authors
Correspondence to Enke Liu or Yan Sun or Claudia Felser.
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Supplementary information
Supplementary figures S1 to S15, Supplementary tables S1 to S4, Supplementary references 1 to 31
Rights and permissions
About this article
Cite this article
Liu, E., Sun, Y., Kumar, N. et al. Giant anomalous Hall effect in a ferromagnetic kagome-lattice semimetal. Nature Phys 14, 1125–1131 (2018). https://doi.org/10.1038/s41567-018-0234-5
Received:
Accepted:
Published:
Issue Date:
Further reading
-
Single crystal growth and ferromagnetism of Cr-doped Sb4Te3
Journal of Physics: Condensed Matter (2020)
-
Lateral Josephson effect on the surface of the magnetic Weyl semimetal Co3Sn2S2
Physical Review B (2020)
-
Magnetic Textures and Dynamics in Magnetic Weyl Semimetals
Annalen der Physik (2020)
-
Guiding topological semimetals towards water oxidation in a Kagomé crystal lattice
Science China Physics, Mechanics & Astronomy (2020)
-
Magnetism and anomalous transport in the Weyl semimetal PrAlGe: possible route to axial gauge fields
npj Quantum Materials (2020)