Evidence of time-reversal symmetry breaking above the charge density wave order in a kagome metal

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Nature Physics (2026) Cite this article Spontaneous symmetry breaking in kagome metals remains highly debated, especially with respect to the presence of time-reversal symmetry breaking and the temperature range over which it develops. A loop-current order, characterized by complex phases in intersite hopping, has been proposed as the mechanism responsible for the breaking of time-reversal symmetry, although it has not yet been confirmed experimentally. Here we present evidence that time-reversal symmetry is broken well above the temperature at which the charge density wave order develops in the kagome metal CsV3Sb5. Using momentum-resolved and domain-selective measurements of circular dichroism in photoemission intensity, we observe dichroic signal that originates from the time-reversal symmetry broken state. This finding also points to the presence of loop-current order. The temperature dependence of the dichroic response shows a complex evolution, revealing how loop-current order is intertwined with the charge ordered state. Our results, therefore, not only support the existence of loop-current order in this compound but also highlight a hierarchy of phase transitions—from loop-current order to charge density wave order and ultimately to superconductivity. These insights deepen our understanding of the phase landscape in kagome metals and highlight connections with a correlated system exhibiting analogous transition hierarchy.This is a preview of subscription content, access via your institution Access Nature and 54 other Nature Portfolio journals Get Nature+, our best-value online-access subscription $32.99 / 30 days cancel any timeSubscribe to this journal Receive 12 print issues and online access $259.00 per yearonly $21.58 per issueBuy this articleUSD 39.95Prices may be subject to local taxes which are calculated during checkoutAll data supporting the findings of this work are available from the corresponding authors upon reasonable request. Source data are provided with this paper.The band structure calculations used in this work are available from the corresponding authors upon reasonable request.Ye, L. et al. Hopping frustration-induced flat band and strange metallicity in a kagome metal. Nat. Phys. 20, 610–614 (2024).Article Google Scholar Ortiz, B. R. et al. CsV3Sb5: a Z2 topological kagome metal with a superconducting ground state. Phys. Rev. Lett. 125, 247002 (2020).Article ADS Google Scholar Hu, Y. et al. Topological surface states and flat bands in the kagome superconductor CsV3Sb5. Sci. Bull. 67, 495–500 (2022).Article Google Scholar Yin, J.-X., Lian, B. & Hasan, M. Z. Topological kagome magnets and superconductors. Nature 612, 647–657 (2022).Article ADS Google Scholar Wu, X. et al. Nature of unconventional pairing in the kagome superconductors AV3Sb5 (A = K, Rb, Cs). Phys. Rev. Lett. 127, 177001 (2021).Article ADS Google Scholar Hu, Y. et al. Rich nature of Van Hove singularities in kagome superconductor CsV3Sb5. Nat. Commun. 13, 2220 (2022).Article ADS Google Scholar Liu, G. et al. Observation of anomalous amplitude modes in the kagome metal CsV3Sb5. Nat. Commun. 13, 3461 (2022).Article ADS Google Scholar Li, H. et al. Discovery of conjoined charge density waves in the kagome superconductor CsV3Sb5. Nat. Commun. 13, 6348 (2022).Article ADS Google Scholar Zhong, Y. et al. Nodeless electron pairing in CsV3Sb5-derived kagome superconductors. Nature 617, 488–492 (2023).Article ADS Google Scholar Kang, M. et al. Charge order landscape and competition with superconductivity in kagome metals. Nat. Mater. 22, 186–193 (2023).
Google Scholar Wilson, S. D. & Ortiz, B. R. AV3Sb5 kagome superconductors. Nat. Rev. Mater. 9, 420–432 (2024).Article Google Scholar Yang, S.-Y. et al. Giant, unconventional anomalous Hall effect in the metallic frustrated magnet candidate, KV3Sb5. Sci. Adv. 6, eabb6003 (2020).Article ADS Google Scholar Yu, F. H. et al. Concurrence of anomalous Hall effect and charge density wave in a superconducting topological kagome metal. Phys. Rev. B 104, L041103 (2021).Article ADS Google Scholar Yu, L. et al. Evidence of a hidden flux phase in the topological kagome metal CsV3Sb5. Preprint at https://arXiv.org/abs/2107.10714 (2021).Nie, L. et al. Charge-density-wave-driven electronic nematicity in a kagome superconductor. Nature 604, 59–64 (2022).Article ADS Google Scholar Li, H. et al. Rotation symmetry breaking in the normal state of a kagome superconductor KV3Sb5. Nat. Phys. 18, 265–270 (2022).Article Google Scholar Khasanov, R. et al. Time-reversal symmetry broken by charge order in CsV3Sb5. Phys. Rev. Res. 4, 023244 (2022).Article Google Scholar Mielke, C. et al. Time-reversal symmetry-breaking charge order in a kagome superconductor. Nature 602, 245–250 (2022).Article ADS Google Scholar Chen, D. et al. Anomalous thermoelectric effects and quantum oscillations in the kagome metal CsV3Sb5. Phys. Rev. B 105, L201109 (2022).Article ADS Google Scholar Xu, Y. et al. Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors. Nat. Phys. 18, 1470–1475 (2022).Article Google Scholar Shan, Z. et al. Muon spin relaxation study of the layered kagome superconductor CsV3Sb5. Phys. Rev. Res. 4, 033145 (2022).Article Google Scholar Xiang, Y. et al. Twofold symmetry of c-axis resistivity in topological kagome superconductor CsV3Sb5 with in-plane rotating magnetic field. Nat. Commun. 12, 6727 (2021).Article ADS Google Scholar Chen, H. et al. Roton pair density wave in a strong-coupling kagome superconductor. Nature 599, 222–228 (2021).Article ADS Google Scholar Ortiz, B. R. et al. New kagome prototype materials: discovery of KV3Sb5, RbV3Sb5, and CsV3Sb5. Phys. Rev. Mater. 3, 094407 (2019).Article Google Scholar Ortiz, B. R. et al. Superconductivity in the Z2 kagome metal KV3Sb5. Phys. Rev. Mater. 5, 034801 (2021).Article Google Scholar Zhou, X. et al. Anomalous thermal Hall effect and anomalous Nernst effect of CsV3Sb5. Phys. Rev. B 105, 205104 (2022).Article ADS Google Scholar Feng, X., Jiang, K., Wang, Z. & Hu, J. Chiral flux phase in the kagome superconductor AV3Sb5. Sci. Bull. 66, 1384–1388 (2021).Article Google Scholar Feng, X., Zhang, Y., Jiang, K. & Hu, J. Low-energy effective theory and symmetry classification of flux phases on the kagome lattice. Phys. Rev. B 104, 165136 (2021).Article ADS Google Scholar Denner, M. M., Thomale, R. & Neupert, T. Analysis of charge order in the kagome metal AV3Sb5 (A = K, Rb, Cs). Phys. Rev. Lett. 127, 217601 (2021).Article ADS Google Scholar Lin, Y.-P. & Nandkishore, R. M. Complex charge density waves at Van Hove singularity on hexagonal lattices: Haldane-model phase diagram and potential realization in the kagome metals AV3Sb5 (A = K, Rb, Cs). Phys. Rev. B 104, 045122 (2021).Article ADS Google Scholar Haldane, F. D. M. Model for a quantum Hall effect without Landau levels: condensed-matter realization of the ‘parity anomaly’. Phys. Rev. Lett. 61, 2015–2018 (1988).Article ADS Google Scholar Varma, C. M. Non-Fermi-liquid states and pairing instability of a general model of copper oxide metals. Phys. Rev. B 55, 14554–14580 (1997).Article ADS Google Scholar Jiang, Y.-X. et al. Unconventional chiral charge order in kagome superconductor KV3Sb5. Nat. Mater. 20, 1353–1357 (2021).Article Google Scholar Li, H. et al. No observation of chiral flux current in the topological kagome metal CsV3Sb5. Phys. Rev. B 105, 045102 (2022).Article ADS Google Scholar Li, H. et al. Unidirectional coherent quasiparticles in the high-temperature rotational symmetry broken phase of AV3Sb5 kagome superconductors. Nat. Phys. 19, 637–643 (2023).
Google Scholar Saykin, D. R. et al. High resolution polar Kerr effect studies of CsV3Sb5: tests for time-reversal symmetry breaking below the charge-order transition. Phys. Rev. Lett. 131, 016901 (2023).Article ADS Google Scholar Farhang, C., Wang, J., Ortiz, B. R., Wilson, S. D. & Xia, J. Unconventional specular optical rotation in the charge ordered state of kagome metal CsV3Sb5. Nat. Commun. 14, 5326 (2023).Article ADS Google Scholar Wang, J., Farhang, C., Ortiz, B. R., Wilson, S. D. & Xia, J. Resolving the discrepancy between MOKE measurements at 1,550-nm wavelength on kagome metal CsV3Sb5. Phys. Rev. Mater. 8, 014202 (2024).Article Google Scholar Guo, C. et al. Correlated order at the tipping point in the kagome metal CsV3Sb5. Nat. Phys. 20, 579–584 (2024).Article Google Scholar Asaba, T. et al. Evidence for an odd-parity nematic phase above the charge-density-wave transition in a kagome metal. Nat. Phys. 20, 40–46 (2024).Article Google Scholar Cho, S. et al. Experimental observation of hidden Berry curvature in inversion-symmetric bulk 2H-WSe2. Phys. Rev. Lett. 121, 186401 (2018).Article ADS Google Scholar Cho, S. et al. Studying local Berry curvature in 2H-WSe2 by circular dichroism photoemission utilizing crystal mirror plane. Sci. Rep. 11, 1684 (2021).Article ADS Google Scholar Fedchenko, O. et al. Observation of time-reversal symmetry breaking in the band structure of altermagnetic RuO2. Sci. Adv. 10, eadj4883 (2024).Article Google Scholar Elmers, H. J. et al. Chirality in the kagome metal CsV3Sb5. Phys. Rev. Lett. 134, 096401 (2025).Article ADS Google Scholar Kang, M. et al.
Twofold Van Hove singularity and origin of charge order in topological kagome superconductor CsV3Sb5. Nat. Phys. 18, 301–308 (2022).Article Google Scholar Tazai, R., Yamakawa, Y. & Kontani, H. Charge-loop current order and Z3 nematicity mediated by bond order fluctuations in kagome metals. Nat. Commun. 14, 7845 (2023).Article ADS Google Scholar Cho, W. et al. Singular Hall response from a correlated ferromagnetic flat nodal-line semimetal. Adv. Mater. 36, e2402040 (2024).Article Google Scholar Frachet, M. et al. Colossal c-axis response and lack of rotational symmetry breaking within the kagome planes of the CsV3Sb5 superconductor. Phys. Rev. Lett. 132, 186001 (2024).Article ADS Google Scholar Kautzsch, L. et al. Structural evolution of the kagome superconductors AV3Sb5 (A = K, Rb, and Cs) through charge density wave order. Phys. Rev. Mater. 7, 024806 (2023).Article Google Scholar Kato, T. et al. Surface-termination-dependent electronic states in kagome superconductors AV3Sb5 (A = K, Rb, Cs) studied by micro-ARPES. Phys. Rev. B 107, 245143 (2023).Article ADS Google Scholar Kato, T. et al. Polarity-dependent charge density wave in the kagome superconductor CsV3Sb5. Phys. Rev. B 106, L121112 (2022).Article ADS Google Scholar Chen, Q., Chen, D., Schnelle, W., Felser, C. & Gaulin, B. D. Charge density wave order and fluctuations above TCDW and below superconducting Tc in the kagome metal CsV3Sb5. Phys. Rev. Lett. 129, 056401 (2022).Article ADS Google Scholar Shimura, K., Tazai, R., Yamakawa, Y., Onari, S. & Kontani, H. Real-space loop current pattern in time-reversal-symmetry breaking phase in kagome metals. J. Phys. Soc. Jpn. 93, 033704 (2024).Article ADS Google Scholar Oey, Y. M. et al. Fermi level tuning and double-dome superconductivity in the kagome metal CsV3Sb5−xSnx. Phys. Rev. Mater. 6, L041801 (2022).Article Google Scholar Mannella, N. et al. Nodal quasiparticle in pseudogapped colossal magnetoresistive manganites. Nature 438, 474–478 (2005).Article ADS Google Scholar Uchida, M. et al. Pseudogap of metallic layered nickelate R2–xSrxNiO4 (R = Nd,Eu) crystals measured using angle-resolved photoemission spectroscopy. Phys. Rev. Lett. 106, 027001 (2011).Article ADS Google Scholar Kim, Y. K. et al. Fermi arcs in a doped pseudospin-1/2 Heisenberg antiferromagnet. Science 345, 187–190 (2014).Article ADS Google Scholar de la Torre, A. et al. Collapse of the Mott gap and emergence of a nodal liquid in lightly doped Sr2IrO4. Phys. Rev. Lett. 115, 176402 (2015).Article ADS Google Scholar Sato, Y. et al. Thermodynamic evidence for a nematic phase transition at the onset of the pseudogap in YBa2Cu3Oy. Nat. Phys. 13, 1074–1078 (2017).Article Google Scholar Jung, H. et al. Chiral pseudogap metal emerging from a disordered van der Waals Mott insulator 1T-TaS2−xSex. Adv. Mater. 37, 2500287 (2025).Article Google Scholar Kato, T. et al. Surface-termination-dependent electronic states in kagome superconductors AV3Sb5 (A = K, Rb, Cs) studied by micro-ARPES. Phys. Rev. B 107, 245143 (2023).Article ADS Google Scholar Li, C. et al. Coexistence of two intertwined charge density waves in a kagome system. Phys. Rev. Res. 4, 033072 (2022).Article Google Scholar Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15–50 (1996).Article Google Scholar 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).Article ADS Google Scholar Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).Article ADS Google Scholar Liang, Z. et al. Three-dimensional charge density wave and surface-dependent vortex-core states in a kagome superconductor CsV3Sb5. Phys. Rev. X 11, 031026 (2021).
Google Scholar Pizzi, G. et al. Wannier90 as a community code: new features and applications. J. Phys. Condens. Matter 32, 165902 (2020).Article ADS Google Scholar Cai, Y. et al. Emergence of quantum confinement in topological kagome superconductor CsV3Sb5. Commun. Mater. 5, 31 (2024).Article Google Scholar Nishi, H., Matsushita, Y. & Oshiyama, A. Band-unfolding approach to moiré-induced band-gap opening and Fermi level velocity reduction in twisted bilayer graphene. Phys. Rev. B 95, 085420 (2017).Article ADS Google Scholar Wu, Q., Zhang, S., Song, H.-F., Troyer, M. & Soluyanov, A. A. WannierTools: an open-source software package for novel topological materials. Comput. Phys. Commun. 224, 405–416 (2018).Article ADS Google Scholar Download referencesWe thank B.D. Gaulin for helpful discussions.J.C., G.L., J.H., C.-y.L., Y.A., S.G. and Y.K. acknowledge support from the National Research Foundation of Korea (NRF) grant funded by the Ministry of Science and ICT of the government of South Korea (MSIT) under grant numbers RS-2022-NR066723, RS-2022-00143178, RS-2024-00345856 and KRISS-GP2025-0015. S.L. acknowledges support from NRF grants funded by MSIT under grant numbers 2021R1A2C1093060 and RS-2023-00281839, and from the Air Force Office of Scientific Research under award number FA23862514054. M.J.H. acknowledges support from NRF grants funded by MSIT under grant numbers RS-2025-00559042 and RS-2025-02243032. Y.S., K.-T.K. and K.H.K. acknowledge support from NRF grants funded by MSIT under grant numbers RS-2023-00220471 and RS-2024-00338707. Use of the Advanced Light Source (ALS) was supported by the Office of Basic Energy Sciences of the US Department of Energy under contract number DE-AC02-05CH11231.Jounghoon HyunPresent address: Department of Physics and Astronomy, Rice University, Houston, TX, USAThese authors contributed equally: Jaehun Cha, Hyunggeun Lee, Sangjun Sim.Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon, Republic of KoreaJaehun Cha, Hyunggeun Lee, Sangjun Sim, Jae-Ho Han, Gyubin Lee, Jounghoon Hyun, Yeojin Ahn, Seonggeon Gim, SungBin Lee, Myung Joon Han & Yeongkwan KimCenter for Novel States of Complex Materials Research, Department of Physics and Astronomy, Seoul National University, Seoul, Republic of KoreaYeahan Sur, Kwang-Tak Kim & Kee Hoon KimDepartment of Materials Science and Metallurgy, University of Cambridge, Cambridge, UKSun-Woo KimDonostia International Physics Center, San Sebastián, SpainChan-young LimAdvanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA, USAJonathan D. DenlingerDepartment of Physics, Ajou University, Suwon, Republic of KoreaSunghun KimInstitute of Applied Physics, Seoul National University, Seoul, Republic of KoreaKee Hoon KimSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarY.K., M.J.H. and S.L. conceived the idea and supervised the project. Y.S., K.-T.K. and K.H.K. synthesized the CsV3Sb5 single crystals. J.C., G.L., J.H., C.-y.L., Y.A., S.G., S.K. and Y.K. performed the CD-ARPES measurements with support from Y.K. and J.D.D. J.C. and Y.K. analysed the CD-ARPES data. H.L., S.S., S.-W.K. and M.J.H. carried out the density functional theory and tight-binding calculations of OAM. J.-H.H. and S.L. developed the theoretical model of charge loop current and bond ordering. All authors discussed the results. Y.K., M.J.H. and S.L. co-wrote the paper with contributions from all authors.Correspondence to SungBin Lee, Myung Joon Han or Yeongkwan Kim.The authors declare no competing interests.Nature Physics thanks Jiangping Hu and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.Supplementary Figs. 1–18.Numerical source data for Fig. 1b,c.Numerical source data for Fig. 2c,d.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.Reprints and permissionsCha, J., Lee, H., Sim, S. et al. Evidence of time-reversal symmetry breaking above the charge density wave order in a kagome metal. Nat. Phys. (2026). https://doi.org/10.1038/s41567-026-03331-2Download citationReceived: 24 June 2025Accepted: 11 May 2026Published: 15 June 2026Version of record: 15 June 2026DOI: https://doi.org/10.1038/s41567-026-03331-2Anyone you share the following link with will be able to read this content:Sorry, a shareable link is not currently available for this article. Provided by the Springer Nature SharedIt content-sharing initiative
