- Letter
- Open Access
Intertwined charge and spin density waves in a topological kagome material
Phys. Rev. Research 6, L032016 – Published 22 July, 2024
DOI: https://doi.org/10.1103/PhysRevResearch.6.L032016
Abstract
Using neutrons and x rays we show the topological kagome antiferromagnet for forms a homogeneous spin and charge ordered state comprising a longitudinally polarized spin density wave with wave vector , a helical modulated version of the room temperature antichiral magnetic order with , and charge density waves with wave vectors , and . Though and coincide for , they exhibit distinct continuous before locking to commensurate values of and at . Density functional theory indicates this complex modulated state may be associated with the nesting of Fermi surfaces from correlated flat kagome bands, which host Weyl nodes that are annihilated as it forms.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (37)
- E. Liu, Y. Sun, N. Kumar, L. Muechler, A. Sun, L. Jiao, S.-Y. Yang, D. Liu, A. Liang, Q. Xu, J. Kroder, V. Süß, H. Borrmann, C. Shekhar, Z. Wang, C. Xi, W. Wang, W. Schnelle, S. Wirth, Y. Chen et al., Giant anomalous Hall effect in a ferromagnetic kagome-lattice semimetal, Nat. Phys. 14, 1125 (2018).
- S. Nakatsuji, N. Kiyohara, and T. Higo, Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature, Nature (London) 527, 212 (2015).
- N. P. Armitage, E. J. Mele, and A. Vishwanath, Weyl and Dirac semimetals in three-dimensional solids, Rev. Mod. Phys. 90, 015001 (2018).
- B. R. Ortiz, L. C. Gomes, J. R. Morey, M. Winiarski, M. Bordelon, J. S. Mangum, L. W. H. Oswald, J. A. Rodriguez-Rivera, J. R. Neilson, S. D. Wilson, E. Ertekin, T. M. McQueen, and E. S. Toberer, New kagome prototype materials: discovery of , and , Phys. Rev. Mater. 3, 094407 (2019).
- Y.-X. Jiang, J.-X. Yin, M. M. Denner, N. Shumiya, B. R. Ortiz, G. Xu, Z. Guguchia, J. He, Md S. Hossain, X. Liu, J. Ruff, L. Kautzsch, S. S. Zhang, G. Chang, I. Belopolski, Q. Zhang, T. A. Cochran, D. Multer, M. Litskevich, Z.-J. Cheng et al., Unconventional chiral charge order in kagome superconductor , Nat. Mater. 20, 1353 (2021).
- B. R. Ortiz, P. M. Sarte, E. M. Kenney, M. J. Graf, S. M. L. Teicher, R. Seshadri, and S. D. Wilson, Superconductivity in the kagome metal , Phys. Rev. Mater. 5, 034801 (2021).
- 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, R. Seshadri, L. Balents, J. He, and Stephen D. Wilson, topological kagome metal with a superconducting ground state, Phys. Rev. Lett. 125, 247002 (2020).
- H. Li, T. T. Zhang, T. Yilmaz, Y. Y. Pai, C. E. Marvinney, A. Said, Q. W. Yin, C. S. Gong, Z. J. Tu, E. Vescovo, C. S. Nelson, R. G. Moore, S. Murakami, H. C. Lei, H. N. Lee, B. J. Lawrie, and H. Miao, Observation of unconventional charge density wave without acoustic phonon anomaly in kagome superconductors (, Cs), Phys. Rev. X 11, 031050 (2021).
- A. Moreo, S. Yunoki, and E. Dagotto, Phase separation scenario for manganese oxides and related materials, Science 283, 2034 (1999).
- K. Kuroda, T. Tomita, M.-T. Suzuki, C. Bareille, A. A. Nugroho, P. Goswami, M. Ochi, M. Ikhlas, M. Nakayama, S. Akebi, R. Noguchi, R. Ishii, N. Inami, K. Ono, H. Kumigashira, A. Varykhalov, T. Muro, T. Koretsune, R. Arita, S. Shin et al., Evidence for magnetic Weyl fermions in a correlated metal, Nat. Mater. 16, 1090 (2017).
- T. Chen, T. Tomita, S. Minami, M. Fu, T. Koretsune, M. Kitatani, I. Muhammad, D. Nishio-Hamane, R. Ishii, F. Ishii et al., Anomalous transport due to Weyl fermions in the chiral antiferromagnets , Nat. Commun. 12, 572 (2021).
- J. W. Cable, N. Wakabayashi, and P. Radhakrishna, A neutron study of the magnetic structure of , Solid State Commun. 88, 161 (1993).
- Y. Song, Y. Hao, S. Wang, J. Zhang, Q. Huang, X. Xing, and J. Chen, Complicated magnetic structure and its strong correlation with the anomalous Hall effect in , Phys. Rev. B 101, 144422 (2020).
- S. Tomiyoshi and Y. Yamaguchi, Magnetic structure and weak ferromagnetism of studied by polarized neutron diffraction, J. Phys. Soc. Jpn. 51, 2478 (1982).
- S. Tomiyoshi, Polarized neutron diffraction study of the spin structure of , J. Phys. Soc. Jpn. 51, 803 (1982).
- H. Ohmori, S. Tomiyoshi, H. Yamauchi, and H. Yamamoto, Spin structure and weak ferromagnetism of , J. Magn. Magn. Mater. 70, 249 (1987).
- P. J. Brown, V. Nunez, F. Tasset, J. B. Forsyth, and P. Radhakrishna, Determination of the magnetic structure of using generalized neutron polarization analysis, J. Phys.: Condens. Matter 2, 9409 (1990).
- M. Ikhlas, T. Tomita, T. Koretsune, M.-T. Suzuki, D. Nishio-Hamane, R. Arita, Y. Otani, and S. Nakatsuji, Large anomalous Nernst effect at room temperature in a chiral antiferromagnet, Nat. Phys. 13, 1085 (2017).
- M. Kimata, H. Chen, K. Kondou, S. Sugimoto, P. K. Muduli, M. Ikhlas, Y. Omori, T. Tomita, A. H. MacDonald, S. Nakatsuji, and Y. Otani, Magnetic and magnetic inverse spin Hall effects in a non-collinear antiferromagnet, Nature (London) 565, 627 (2019).
- Z. Li, J. Zhuang, L. Wang, H. Feng, Q. Gao, X. Xu, W. Hao, X. Wang, C. Zhang, K. Wu, S. X. Dou, L. Chen, Z. Hu, and Y. Du, Realization of flat band with possible nontrivial topology in electronic kagome lattice, Sci. Adv. 4, eaau4511 (2018).
- N. J. Ghimire and I. I. Mazin, Topology and correlations on the kagome lattice, Nat. Mater. 19, 137 (2020).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L032016 for extra experimental details, data, and discussion about the phase transition.
- E. Fawcett, Spin-density-wave antiferromagnetism in chromium, Rev. Mod. Phys. 60, 209 (1988).
- X. Teng, L. Chen, F. Ye, E. Rosenberg, Z. Liu, J.-X. Yin, Y.-X. Jiang, J. S. Oh, M. Z. Hasan, K. J. Neubauer, B. Gao, Y. Xie, M. Hashimoto, D. Lu, C. Jozwiak, A. Bostwick, E. Rotenberg, R. J. Birgeneau, J.-H. Chu, M. Yi et al., Discovery of charge density wave in a kagome lattice antiferromagnet, Nature (London) 609, 490 (2022).
- X. Teng, J. S. Oh, H. Tan, L. Chen, J. Huang, B. Gao, J.-X. Yin, J.-H. Chu, M. Hashimoto, D. Lu, C. Jozwiak, A. Bostwick, E. Rotenberg, G. E. Granroth, B. Yan, R. J. Birgeneau, P. Dai, and M. Yi, Magnetism and charge density wave order in kagome FeGe, Nat. Phys. 19, 814 (2023).
- Y. Chen, J. Gaudet, S. Dasgupta, G. G. Marcus, J. Lin, T. Chen, T. Tomita, M. Ikhlas, Y. Zhao, W. C. Chen, M. B. Stone, O. Tchernyshyov, S. Nakatsuji, and C. Broholm, Antichiral spin order, its soft modes, and their hybridization with phonons in the topological semimetal , Phys. Rev. B 102, 054403 (2020).
- J.-R. Soh, F. de Juan, N. Qureshi, H. Jacobsen, H.-Y. Wang, Y.-F. Guo, and A. T. Boothroyd, Ground-state magnetic structure of , Phys. Rev. B 101, 140411(R) (2020).
- D. Khadka, T. R. Thapaliya, S. Hurtado Parra, X. Han, J. Wen, R. F. Need, P. Khanal, W. Wang, J. Zang, J. M. Kikkawa, L. Wu, and S. X. Huang, Kondo physics in antiferromagnetic Weyl semimetal films, Sci. Adv. 6, eabc1977 (2020).
- S. Dasgupta and O. Tchernyshyov, Theory of spin waves in a hexagonal antiferromagnet, Phys. Rev. B 102, 144417 (2020).
- M. Ikhlas, T. Tomita, and S. Nakatsuji, Sample quality dependence of the magnetic properties in non-collinear antiferromagnet , JPS Conf. Proc. 30, 011177 (2020).
- W. J. Feng, D. Li, W. J. Ren, Y. B. Li, W. F. Li, J. Li, Y. Q. Zhang, and Z. D. Zhang, Glassy ferromagnetism in -type , Phys. Rev. B 73, 205105 (2006).
- X. Li, L. Xu, L. Ding, J. Wang, M. Shen, X. Lu, Z. Zhu, and K. Behnia, Anomalous Nernst and Righi-Leduc effects in : Berry curvature and entropy flow, Phys. Rev. Lett. 119, 056601 (2017).
- N. H. Sung, F. Ronning, J. D. Thompson, and E. D. Bauer, Magnetic phase dependence of the anomalous Hall effect in single crystals, Appl. Phys. Lett. 112, 132406 (2018).
- N. J. Ghimire, R. L. Dally, L. Poudel, D. C. Jones, D. Michel, N. T. Magar, M. Bleuel, M. A. McGuire, J. S. Jiang, J. F. Mitchell, J. W. Lynn, and I. I. Mazin, Competing magnetic phases and fluctuation-driven scalar spin chirality in the kagome metal , Sci. Adv. 6, eabe2680 (2020).
- P. Park, J. Oh, K. Uhlířová, J. Jackson, A. Deák, L. Szunyogh, K. H. Lee, H. Cho, H.-L. Kim, H. C. Walker, D. Adroja, V. Sechovský, and J.-G. Park, Magnetic excitations in non-collinear antiferromagnetic Weyl semimetal , npj Quantum Mater. 3, 63 (2018).
- J. Liu and L. Balents, Anomalous Hall effect and topological defects in antiferromagnetic Weyl semimetals: , Phys. Rev. Lett. 119, 087202 (2017).
- S. Nakatsuji and R. Arita, Topological magnets: Functions based on Berry phase and multipoles, Annu. Rev. Condens. Matter Phys. 13, 119 (2022).