Abstract
X-ray and neutron diffraction are foundational tools for structure determination; however, their resolution limits can lead to misassignments in materials with subtle distortions. Here we demonstrate that nonlinear transport provides a powerful complementary approach to uncover hidden crystal symmetries, using Ca3Ru2O7 as a case study. Below the magnetic transition at TS = 48 K, our experiment reveals a previously overlooked lower-symmetry phase. This is evidenced by the emergence of longitudinal nonlinear resistance (NLR), indicating combined translational and time-reversal symmetry breaking, and thus rendering Ca3Ru2O7 an altermagnetic candidate in terms of symmetry classification. DFT calculation suggests that the lower-symmetry phase arises from an extremely subtle lattice distortion (~0.1 pm) below TS, below the detection limit of conventional diffraction. Moreover, NLR is accompanied by nonlinear Hall effect, both enhanced by the large quantum metric associated with Weyl chains. Our findings establish nonlinear transport as a sensitive probe of hidden symmetry breaking and highlight an alternative route to discovering altermagnetic states.
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The authors declare that all the data that support the findings of this study are available within the paper and Supplementary Information. Additional relevant data is available from the corresponding authors upon reasonable request. Source data are provided with this paper.
References
Vojta, M. Quantum phase transitions. Rep. Prog. Phys. 66, 2069 (2003).
Liu, J. et al. Nearly massless Dirac fermions hosted by Sb square net in BaMnSb2. Sci. Rep. 6, 30525 (2016).
Cordier, G. & Schäfer, H. Darstellung und Kristallstruktur von BaMnSb2, SrMnBi2 und BaMnBi2/preparation and crystal structure of BaMnSb2, SrMnBi2 and BaMnBi2. Z. f.ür. Naturforsch. B 32, 383–386 (1977).
Liu, J. Y. et al. Spin-valley locking and bulk quantum Hall effect in a noncentrosymmetric Dirac semimetal BaMnSb2. Nat. Commun. 12, 4062 (2021).
Min, L. et al. Strong room-temperature bulk nonlinear Hall effect in a spin-valley locked Dirac material. Nat. Commun. 14, 364 (2023).
Ma, Q. et al. Observation of the nonlinear Hall effect under time-reversal-symmetric conditions. Nature 565, 337–342 (2019).
Kumar, D. et al. Room-temperature nonlinear Hall effect and wireless radiofrequency rectification in Weyl semimetal TaIrTe4. Nat. Nanotechnol. 16, 421–425 (2021).
Kang, K., Li, T., Sohn, E., Shan, J. & Mak, K. F. Nonlinear anomalous Hall effect in few-layer WTe2. Nat. Mater. 18, 324–328 (2019).
Ho, S.-C. et al. Hall effects in artificially corrugated bilayer graphene without breaking time-reversal symmetry. Nat. Electron. 4, 116–125 (2021).
Dzsaber, S. et al. Giant spontaneous Hall effect in a nonmagnetic Weyl–Kondo semimetal. Proc. Natl. Acad. Sci. USA 118, e2013386118 (2021).
He, P. et al. Quantum frequency doubling in the topological insulator Bi2Se3. Nat. Commun. 12, 698 (2021).
Zhang, C.-L., Liang, T., Kaneko, Y., Nagaosa, N. & Tokura, Y. Giant Berry curvature dipole density in a ferroelectric Weyl semimetal. npj Quant. Mater. 7, 1–6 (2022).
Lu, X. F. et al. Nonlinear transport and radio frequency rectification in BiTeBr at room temperature. Nat. Commun. 15, 245 (2024).
Bao, W., Mao, Z. Q., Qu, Z. & Lynn, J. W. Spin valve effect and magnetoresistivity in single crystalline Ca3Ru2O7. Phys. Rev. Lett. 100, 247203 (2008).
Cao, G., Balicas, L., Xin, Y., Crow, J. E. & Nelson, C. S. Quantum oscillations, colossal magnetoresistance, and the magnetoelastic interaction in bilayered Ca3Ru2O7. Phys. Rev. B 67, 184405 (2003).
Cao, G. et al. Tunneling magnetoresistance and quantum oscillations in bilayered Ca3Ru2O7. Phys. Rev. B 67, 060406 (2003).
Lin, X. N., Zhou, Z. X., Durairaj, V., Schlottmann, P. & Cao, G. Colossal magnetoresistance by avoiding a ferromagnetic state in the Mott system Ca3Ru2O7. Phys. Rev. Lett. 95, 017203 (2005).
Faure, Q. et al. Magnetic structure and field dependence of the cycloid phase mediating the spin reorientation transition in Ca3Ru2O7. Phys. Rev. Res. 5, 013040 (2023).
Sokolov, D. A. et al. Metamagnetic texture in a polar antiferromagnet. Nat. Phys. 15, 671–677 (2019).
Marković, I. et al. Electronically driven spin-reorientation transition of the correlated polar metal Ca3Ru2O7. Proc. Natl. Acad. Sci. 117, 15524–15529 (2020).
Xing, H. et al. Existence of electron and hole pockets and partial gap opening in the correlated semimetal Ca3Ru2O7. Phys. Rev. B 97, 041113 (2018).
Horio, M. et al. Electronic reconstruction forming a C2-symmetric Dirac semimetal in Ca3Ru2O7. npj Quant. Mater. 6, 1–7 (2021).
Wang, H. et al. Strong electron-phonon coupling driven pseudogap modulation and density-wave fluctuations in a correlated polar metal. Nat. Commun. 14, 5769 (2023).
Yuan, Y. et al. Ultrafast quasiparticle dynamics in the correlated semimetal Ca3Ru2O7. Phys. Rev. B 99, 155111 (2019).
Lovesey, S. W., Khalyavin, D. D. & van der Laan, G. Magnetic multipoles in a ruthenate Ca3Ru2O7. Phys. Rev. B 99, 134444 (2019).
Leshen, J. et al. Emergent charge order near the doping-induced Mott-insulating quantum phase transition in Sr3Ru2O7. Commun. Phys. 2, 36 (2019).
León, A. M., González, J. W. & Rosner, H. Ca3Ru2O7: Interplay among degrees of freedom and the role of the exchange correlation. Phys. Rev. Mater. 8, 024411 (2024).
Zhao, Y., Mao, Z. & Yan, B. Nonlinear transport signatures of hidden symmetry breaking in a Weyl altermagnet. Phys. Rev. B 112, 165127 (2025).
Puggioni, D., Horio, M., Chang, J. & Rondinelli, J. M. Cooperative interactions govern the fermiology of the polar metal Ca3Ru2O7. Phys. Rev. Res. 2, 023141 (2020).
Šmejkal, L., Sinova, J. & Jungwirth, T. Emerging research landscape of altermagnetism. Phys. Rev. X 12, 040501 (2022).
Mazin, I. Editorial: Altermagnetism—a new punch line of fundamental magnetism. Phys. Rev. X 12, 040002 (2022).
Liu, P., Li, J., Han, J., Wan, X. & Liu, Q. Spin-group symmetry in magnetic materials with negligible spin-orbit coupling. Phys. Rev. X 12, 021016 (2022).
Gao, Y., Yang, S. A. & Niu, Q. Field induced positional shift of bloch electrons and its dynamical implications. Phys. Rev. Lett. 112, 166601 (2014).
Gao, A. et al. Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure. Science 381, 181–186 (2023).
Wang, N. et al. Quantum-metric-induced nonlinear transport in a topological antiferromagnet. Nature 621, 487–492 (2023).
Jiang, Y., Holder, T. & Yan, B. Revealing quantum geometry in nonlinear quantum materials. Rep. Prog. Phys. 88, 076502 (2025).
Kaplan, D., Holder, T. & Yan, B. Unification of nonlinear anomalous hall effect and nonreciprocal magnetoresistance in metals by the quantum geometry. Phys. Rev. Lett. 132, 026301 (2024).
Yoshida, Y. et al. Crystal and magnetic structure of Ca3Ru2O7. Phys. Rev. B 72, 054412 (2005).
Sodemann, I. & Fu, L. Quantum nonlinear hall effect induced by berry curvature dipole in time-reversal invariant materials. Phys. Rev. Lett. 115, 216806 (2015).
Das, L. et al. Two-carrier magnetoresistance: applications to Ca3Ru 2O7. J. Phys. Soc. Jpn. 90, 054702 (2021).
Puls, C. P. et al. Structural and metal-insulator transitions in ionic liquid-gated Ca3Ru2O7 surface. Appl. Phys. Lett. 104, 253503 (2014).
McCall, S., Cao, G. & Crow, J. E. Impact of magnetic fields on anisotropy in Ca3Ru2O7. Phys. Rev. B 67, 094427 (2003).
Atencia, R. B., Liu, S., Loh, K. P. & Culcer, D. Room-temperature disorder-driven nonlinear transport in topological materials. Preprint at https://arxiv.org/abs/2506.13869 (2025).
Liu, S. et al. Room-temperature nonlinear transport and microwave rectification in antiferromagnetic MnBi2Te4 films. Commun. Phys. 7, 413 (2024).
Jiang, S., Shan, J. & Mak, K. F. Electric-field switching of two-dimensional van der Waals magnets. Nat. Mater. 17, 406–410 (2018).
Huang, B. et al. Electrical control of 2D magnetism in bilayer CrI3. Nat. Nanotechnol. 13, 544–548 (2018).
Gao, A. et al. Layer Hall effect in a 2D topological axion antiferromagnet. Nature 595, 521–525 (2021).
Baumberger, F. et al. Nested Fermi surface and electronic instability in Ca3Ru2O7. Phys. Rev. Lett. 96, 107601 (2006).
Fedchenko, O. et al. Observation of time-reversal symmetry breaking in the band structure of altermagnetic RuO2. Sci. Adv. 10, eadj4883 (2024).
Reimers, S. et al. Direct observation of altermagnetic band splitting in CrSb thin films. Nat. Commun. 15, 2116 (2024).
Liu, J. et al. Absence of altermagnetic spin splitting character in rutile oxide RuO2. Phys. Rev. Lett. 133, 176401 (2024).
Krempaský, J. et al. Altermagnetic lifting of Kramers spin degeneracy. Nature 626, 517–522 (2024).
Zhu, Y.-P. et al. Observation of plaid-like spin splitting in a noncoplanar antiferromagnet. Nature 626, 523–528 (2024).
Jiang, B. et al. A metallic room-temperature d-wave altermagnet. Nat. Phys. 21, 754–759 (2025).
León, A., Autieri, C., Brumme, T. & González, J. W. Hybrid d/p-wave altermagnetism in Ca3Ru2O7 and strain-controlled spin splitting. npj Quant. Mater. 10, 98 (2025).
Fang, Y., Cano, J. & Ghorashi, S. A. A. Quantum geometry induced nonlinear transport in altermagnets. Phys. Rev. Lett. 133, 106701 (2024).
Min, L. et al. Colossal room-temperature non-reciprocal Hall effect. Nat. Mater. 23, 1671–1677 (2024).
Fobes, D., Peng, J., Qu, Z., Liu, T. J. & Mao, Z. Q. Magnetic phase transitions and bulk spin-valve effect tuned by in-plane field orientation in Ca3Ru2O7. Phys. Rev. B 84, 014406 (2011).
Acknowledgements
This work is primarily supported by the US National Science Foundation under grant DMR 2211327. J.Z., B.H.Y. and Z.Q.M. also acknowledge the partial support from NSF through the Materials Research Science and Engineering Center DMR 2011839. Y. C. acknowledges the support of the Penn State Two-Dimensional Crystal Consortium center under grant no. NSF-DMR-2039351.
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The microscale CRO devices were fabricated by S.M. with assistance provided by Y.C., Z.L., J.Z., and Y.L. The transport measurements were conducted by S.M. and Z.M. The CRO crystals were grown by Y.W. and Z.M. The optical measurements were performed by S. S. and V.G. The theoretical work was done by Y.F.Z. and B.H.Y. The paper was written by S.M., Y.F.Z. B.H.Y., and Z.M., with input from other authors. Z.M. supervised the experimental part of this work, and B.H.Y. supervised the theoretical part.
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Mali, S., Zhao, Y., Wang, Y. et al. Probing hidden symmetry via nonlinear transport in an altermagnet candidate Ca3Ru2O7. Nat Commun (2026). https://doi.org/10.1038/s41467-026-69739-9
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DOI: https://doi.org/10.1038/s41467-026-69739-9