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Role of atomic site for the phase transition in kagome lattice compounds: A case study of by NMR hyperfine interactions
Phys. Rev. Research 7, 033251 – Published 15 September, 2025
DOI: https://doi.org/10.1103/81tx-2mc6
Abstract
Vanadium-based kagome metal of has been of current interest as it features unique charge density wave (CDW) ordering accompanied by a structural phase transition, indicating the importance of lattice distortion for the onset of CDW order. To unveil the role of each individual atomic site for the phase transition, we employed a local probe through the nuclear magnetic resonance (NMR) measurements in which the NMR signals from , and nuclei in both normal and CDW states were observed. From the comparison between the quadrupole splitting of and NMR satellite lines, a noticeable increase in the quadrupole frequency below the transition temperature was identified. The finding can be accounted for by the structural distortion mainly involving the displacement of Sc and Sn atoms along the crystal axis. From the analysis of the temperature dependences of the NMR shift, we quantitatively obtained the change in the electronic states for each atom associated with the phase transition. In particular, we demonstrated a marked reduction in the V density of states at the Femi level, which can be rationalized as a manifestation of the structural transition. Remarkably, we resolved three NMR resonance lines corresponding to three nonequivalent crystallographic Sn sites and therefore estimated the variation in the electronic states of each Sn atom in .
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References (58)
- 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 , Phys. Rev. Lett. 129, 216402 (2022).
- W. R. Meier, R. P. Madhogaria, S. Mozaffari, M. Marshall, D. E. Graf, M. A. McGuire, H. W. S. Arachchige, C. L. Allen, J. Driver, H. Cao, and D. Mandrus, Tiny Sc allows the chains to rattle: Impact of Lu and Y doping on the charge-density wave in , J. Am. Chem. Soc. 145, 20943 (2023).
- A. Korshunov, H. Hu, D. Subires, Y. Jiang, D. Călugăru, X. Feng, A. Rajapitamahuni, C. Yi, S. Roychowdhury, M. G. Vergniory, J. Strempfer, C. Shekhar, E. Vescovo, D. Chernyshov, A. H. Said, A. Bosak, C. Felser, B. A. Bernevig, and S. Blanco-Canosa, Softening of a flat phonon mode in the kagome , Nat. Commun. 14, 6646 (2023).
- S. Cao, C. Xu, H. Fukui, T. Manjo, M. Shi, Y. Liu, C. Cao, and Y. Song, Competing charge-density wave instabilities in the kagome metal , Nat. Commun. 14, 7671 (2023).
- T. Hu, H. Pi, S. Xu, L. Yue, Q. Wu, Q. Liu, S. Zhang, R. Li, X. Zhou, J. Yuan, D. Wu, T. Dong, H. Weng, and N. Wang, Optical spectroscopy and band structure calculations of the structural phase transition in the vanadium-based kagome metal , Phys. Rev. B 107, 165119 (2023).
- D. K. Kim, S. Liu, C. Wang, H. W. Nam, G. Pokharel, Stephen D. Wilson, J. H. Cho, and S. J. Moon, Infrared probe of the charge density wave gap in , Phys. Rev. B 108, 205118 (2023).
- M. Tuniz et al., Dynamics and resilience of the unconventional charge density wave in bilayer kagome metal, Commun. Mater. 4, 103 (2023).
- J. M. DeStefano, E. Rosenberg, O. Peek, Y. Lee, Z. Liu, Q. Jiang, L. Ke, and J. H. Chu, Pseudogap behavior in charge density wave kagome material revealed by magnetotransport measurements, npj Quantum Mater. 8, 65 (2023).
- Y. Gu, E. Ritz, W. R. Meier, A. Blockmon, K. Smith, R. P. Madhogaria, S. Mozaffari, D. Mandrus, T. Birol, and J. L. Musfeldt, Phonon mixing in the charge density wave state of , npj Quantum Mater. 8, 58 (2023).
- H. Tan and B. Yan, Abundant lattice instability in kagome metal , Phys. Rev. Lett. 130, 266402 (2023).
- G. Pokharel, B. R. Ortiz, L. Kautzsch, S. J. G. Alvarado, K. Mallayya, G. Wu, E. A. Kim, J. P. C. Ruff, S. Sarker, and S. D. Wilson, Frustrated charge order and cooperative distortions in , Phys. Rev. Mater. 7, 104201 (2023).
- Y. Hu et al., Phonon promoted charge density wave in topological kagome metal , Nat. Commun. 15, 1658 (2024).
- S. Cheng et al., Nanoscale visualization and spectral fingerprints of the charge order in distinct from other kagome metals, npj Quantum Mater. 9, 14 (2024).
- R. Guehne, J. Noky, C. Yi, C. Shekhar, M. G. Vergniory, P. Yanda, M. Baenitz, and C. Felser, Orbital selective commensurate modulations of the local density of states in probed by nuclear spins, Nat. Commun. 15, 8213 (2024).
- A. Subdei, Order-by-disorder charge density wave condensation at = (1/3, 1/3, 1/3) in kagome metal , Phys. Rev. Mater. 8, 014006 (2024).
- C. Yi, X. Feng, P. Yanda, S. Roychowdhury, C. Felser, and C. Shekhar, Quantum oscillations revealing topological band in kagome metal , Phys. Rev. B 109, 035124 (2024).
- Z. J. Cheng, S. Shao, B. Kim, T. A. Cochran, X. P. Yang, C. Yi, Y. X. Jiang, J. Zhang, M. S. Hossain, S. Roychowdhury, T. Yilmaz, E. Vescovo, A. Fedorov, C. Shekhar, C. Felser, G. Chang, and M. Z. Hasan, Untangling charge-order dependent bulk states from surface effects in a topological kagome metal , Phys. Rev. B 109, 075150 (2024).
- S. Liu, C. Wang, S. Yao, Y. Jia, Z. Zhang, and J. H. Cho, Driving mechanism and dynamic fluctuations of charge density waves in the kagome metal , Phys. Rev. B 109, L121103 (2024).
- T. Yu, J. Lai, X. Liu, P. Liu, X. Q. Chen, and Y. Sun, Magnetism and weak electronic correlations in the kagome metal , Phys. Rev. B 109, 195145 (2024).
- C. N. Kuo, R. Y. Huang, W. S. Tian, C. K. Hong, Y. R. Ou, Y. K. Kuo, and C. S. Lue, Effects of lattice instability on the thermoelectric behavior of kagome metal , Appl. Phys. Lett. 125, 152202 (2024).
- M. Tuniz, A. Consiglio, G. Pokharel, F. Parmigiani, T. Neupert, R. Thomale, S. K. Chaluvadi, P. Orgiani, G. Sangiovanni, S. D. Wilson, I. Vobornik, F. Salvador, F. Cilento, D. D. Sante, and F. Mazzola, Strain-induced enhancement of the charge density wave in the kagome metal , Phys. Rev. Lett. 134, 066501 (2025).
- H. Hu, Y. Jiang, D. Calugaru, X. Feng, D. Subires, M. G. Vergniory, C. Felser, S. Blanco-Canosa, and B. A. Bernevig, Flat phonon soft modes and unconventional charge density wave formation in : Microscopic and effective theory, Phys. Rev. B 111, 054113 (2025).
- 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 S. D. Wilson, : A topological kagome metal with a superconducting ground state, Phys. Rev. Lett. 125, 247002 (2020).
- H. Zhao, H. Li, B. R. Ortiz, S. M. L. Teicher, T. Park, M. Ye, Z. Wang, L. Balents, S. D. Wilson, and I. Zeljkovic, Cascade of correlated electron states in the kagome superconductor , Nature (London) 599, 216 (2021).
- M. He, H. X. Li, W. R. Meier, A. Huon, H. N. Lee, A. Said, H. C. Lei, B. R. Ortiz, S. D. Wilson, J. X. Yin, M. Z. Hasan, Z. Wang, H. Tan, and B. Yan, Geometry of the charge density wave in the kagome metal , Phys. Rev. B 104, 195132 (2021).
- B. Zhang, H. Tan, B. Yan, C. Xu, and H. Xiang, Atomistic origin of diverse charge density wave states in , Phys. Rev. Lett. 132, 096101 (2024).
- S. Peng, Y. Han, G. Pokharel, J. Shen, Z. Li, M. Hashimoto, D. Lu, B. R. Ortiz, Y. Luo, H. Li, M. Guo, B. Wang, S. Cui, Z. Sun, Z. Qiao, S. D. Wilson, and J. He, Realizing kagome band structure in two-dimensional kagome surface states of ( = Gd, Ho), Phys. Rev. Lett. 127, 266401 (2021).
- E. Rosenberg, J. M. DeStefano, Y. Guo, J. S. Oh, M. Hashimoto, D. Lu, R. J. Birgeneau, Y. Lee, L. Ke, M. Yi, and J. H. Chu, Uniaxial ferromagnetism in the kagome metal , Phys. Rev. B 106, 115139 (2022).
- G. Pokharel, B. Ortiz, J. Chamorro, P. Sarte, L. Kautzsch, G. Wu, J. Ruff, and S. D. Wilson, Highly anisotropic magnetism in the vanadium-based kagome metal , Phys. Rev. Mater. 6, 104202 (2022).
- X. Y. Zeng, H. Wang, X. Y. Wang, J. F. Lin, J. Gong, X. P. Ma, K. Han, Y. T. Wang, Z. Y. Dai, and T. L. Xia, Magnetic and magnetotransport properties in the vanadium-based kagome metals and , Phys. Rev. B 109, 104412 (2024).
- S. Mozaffari, W. R. Meier, R. P. Madhogaria, S. H. Kang, J. W. Villanova, H. W. S. Arachchige, G. Zheng, Y. Zhu, K. W. Chen, K. Jenkins, D. Zhang, A. Chan, L. Li, M. Yoon, Y. Zhang, and D. G. Mandrush, Universal sublinear resistivity in vanadium kagome materials hosting charge density waves, Phys. Rev. B 110, 035135 (2024).
- J. Shi, J. Chepin, and J. H. Ross, Magnetic-field effects in , Phys. Rev. Lett. 69, 2106 (1992).
- H. Chudo, C. Michioka, Y. Itoh, and K. Yoshimura, NMR studies of single-crystal , Phys. Rev. B 75, 045113 (2007).
- C. N. Kuo, H. F. Liu, and C. S. Lue, NMR characteristics in noncentrosymmetric , Phys. Rev. B 85, 052501 (2012).
- C. S. Lue, H. F. Liu, S. L. Hsu, M. W. Chu, H. Y. Liao, and Y. K. Kuo, Observation of a possible charge-density-wave transition in cubic , Phys. Rev. B 85, 205120 (2012).
- H. F. Liu, C. N. Kuo, C. S. Lue, K. Z. Syu, and Y. K. Kuo, Partially gapped Fermi surfaces in revealed by nuclear magnetic resonance, Phys. Rev. B 88, 115113 (2013).
- C. N. Kuo, H. F. Liu, C. S. Lue, L. M. Wang, C. C. Chen, and Y. K. Kuo, Characteristics of the phase transition near 147 K in , Phys. Rev. B 89, 094520 (2014).
- B. Chen, J. Yang, Y. Guo, and K. Yoshimura, NMR study in the normal state of the superconductor , Europhys. Lett. 111, 17005 (2015).
- C. N. Kuo, C. W. Tseng, C. M. Wang, C. Y. Wang, Y. R. Chen, L. M. Wang, C. F. Lin, K. K. Wu, Y. K. Kuo, and C. S. Lue, Lattice distortion associated with Fermi-surface reconstruction in , Phys. Rev. B 91, 165141 (2015).
- C. N. Kuo, W. T. Chen, C. W. Tseng, C. J. Hsu, R. Y. Huang, F. C. Chou, Y. K. Kuo, and C. S. Lue, Evidence for a second-order phase transition around 350 K in , Phys. Rev. B 97, 094101 (2018).
- C. Y. Huang, H. Y. Lee, Y. C. Chang, C. K. Hong, Y. R. Ou, C. N. Kuo, and C. S. Lue, NMR insight into the phase transition in , Phys. Rev. B 106, 195101 (2022).
- C. Mu, Q. Yin, Z. Tu, C. Gong, H. Lei, Z. Li, and J. Luo, S-wave superconductivity in kagome metal revealed by NQR and NMR measurements, Chin. Phys. Lett. 38, 077402 (2021).
- L. Nie, K. Sun, W. Ma, D. Song, L. Zheng, Z. Liang, P. Wu, F. Yu, J. Li, M. Shan, D. Zhao, S. Li, B. Kang, Z. Wu, Y. Zhou, K. Liu, Z. Xiang, J. Ying, Z. Wang, T. Wu, and X. Chen, Charge-density-wave-driven electronic nematicity in a kagome superconductor, Nature (London) 604, 59 (2022).
- J. Luo, Z. Zhao, Y. Z. Zhou, J. Yang, A. F. Fang, H. T. Yang, H. J. Gao, R. Zhou, and G.-q. Zheng, Possible star-of-David pattern charge density wave with additional modulation in the kagome superconductor , npj Quantum Mater. 7, 30 (2022).
- Y. Wang, T. Wu, Z. Li, K. Jiang, and J. Hu, Structure of the kagome superconductor in the charge density wave state, Phys. Rev. B 107, 184106 (2023).
- X. Zhang, J. Zheng Li, F. Zhou, Q. Wu, X. Xi, Y. Lau, Z. Wang, and W. Wang, NMR study of charge density wave phase in the kagome metal , Appl. Phys. Lett. 124, 093106 (2024).
- J. Frassineti, P. Bonfà, G. Allodi, E. Garcia, R. Cong, B. R. Ortiz, S. D. Wilson, R. De Renzi, V. F. Mitrovic, and S. Sanna, Microscopic nature of the charge-density wave in the kagome superconductor , Phys. Rev. Res. 5, L012017 (2023).
- G. C. Carter, L. H. Bennett, and D. J. Kahan, Metallic Shifts in NMR (Pergamon, Oxford, 1977).
- C. S. Lue, R. F. Liu, Y. F. Fu, C. Cheng, and H. D. Yang, Electronic properties of ( = Co, Rh, Ir) probed by NMR and first-principles calculations, Phys. Rev. B 77, 115130 (2008).
- C. Benndorf, O. Niehaus, H. Eckert, and O. Janka, and NMR spectroscopy on and (, Pd, Pt, Cu, Ag, Au) Heusler phases and superconductivity in , Z. Anorg. Allg. Chem. 641, 168 (2015).
- C. N. Kuo, C. C. Chen, C. M. Chang, R. Y. Huang, L. Y. Wang, Y. K. Kuo, and C. S. Lue, Specific heat and NMR evidence for the low Fermi-level density of states in semimetallic ScSb, Phys. Rev. B 104, 035135 (2021).
- A. M. Clogston, V. Jaccarino, and Y. Yafet, Interpretation of knight shifts and susceptibilities of transition metals: Platinum, Phys. Rev. 134, A650 (1964).
- B. Perrin, P. Descouts, A. Dupanloup, and D. Seipler, Electronic structure of intermetallic compounds with CsCl structure: NMR relaxation times, J. Phys. F: Met. Phys. 9, 673 (1979).
- C. S. Lue and J. H. Ross, Jr., Semimetallic behavior in : NMR evidence, Phys. Rev. B 58, 9763 (1998).
- K. Ooiwa and K. Endo, Nuclear magnetic relaxation in Heusler alloys and , J. Magn. Magn. Mater. 177, 1443 (1998).
- C. S. Lue and J. H. Ross, Jr., NMR probe of pseudogap characteristics in , Phys. Rev. B 61, 9863 (2000).
- C. S. Lue and J. H. Ross, Jr., Pseudogap in : NMR evidence, Phys. Rev. B 63, 054420 (2001).
- J. Korringa, Nuclear magnetic relaxation and resonance line shift in metals, Physica 16, 601 (1950).