- Open Access
Pressure-induced Lifshitz transition in evidenced by the quantum oscillation measurements
Phys. Rev. Research 8, 013197 – Published 23 February, 2026
DOI: https://doi.org/10.1103/fksg-y9xr
Abstract
exhibits a unique double-dome superconducting phase diagram under pressure, closely linked to its distinctive charge density wave (CDW) order evolution and corresponding Fermi surface reconstruction. The intricate interplay between CDW and superconductivity has garnered significant research interest, particularly in finding experimental methods to investigate Fermi surface evolution under pressure. Here, by measuring the quantum oscillation signals in in-plane resistivity and thermoelectric effect of at various pressures, we reveal for the first time that the Fermi surface of undergoes an abrupt change around 0.4 GPa. This phenomenon may be associated with alterations in the interlayer modulation within the CDW state, which is consistent with our density functional theory calculations. Furthermore, we observe the presence of a Dirac band that may moves away from the Fermi energy as pressure increases. Our findings offer crucial insights into the Fermi surface evolution of under pressure.
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References (45)
- 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).
- 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. F. 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).
- X. L. Feng, K. Jiang, Z. Q. Wang, and J. P. Hu, Chiral flux phase in the kagome superconductor , Sci Bull. 66, 1384 (2021).
- C. Mielke, D. Das, J. X. Yin, H. Liu, R. Gupta, Y. X. Jiang, M. Medarde, X. Wu, H. C. Lei, J. Chang, P. Dai, Q. Si, H. Miao, R. Thomale, T. Neupert, Y. Shi, R. Khasanov, M. Z. Hasan, H. Luetkens, and Z. Guguchia, Time-reversal symmetry-breaking charge order in a kagome superconductor, Nature (London) 602, 245 (2022).
- L. P. Nie, K. Sun, W. R. Ma, D. W. Song, L. X. Zheng, Z. W. Liang, P. Wu, F. H. Yu, J. Li, M. Shan, et al., Charge-density-wave-driven electronic nematicity in a kagome superconductor, Nature (London) 604, 59 (2022).
- Y. X. Jiang, J. X. Yin, M. M. Denner, N. Shumiya, B. R. Ortiz, G. Xu, Z. Guguchia, J. Y. He, M. S. Hossain, X. X. Liu, et al., Unconventional chiral charge order in kagome superconductor , Nat. Mater. 20, 1353 (2021).
- H. Chen, H. T. Yang, B. Hu, Z. Zhao, J. Yuan, Y. Q. Xing, G. J. Qian, Z. H. Huang, G. Li, Y. H. Ye, et al., Roton pair density wave in a strong-coupling kagome superconductor, Nature (London) 599, 222 (2021).
- Z. W. Liang, X. Y. Hou, F. Zhang, W. R. Ma, P. Wu, Z. Y. Zhang, F. H. Yu, J. J. Ying, K. Jiang, L. Shan, Z. Y. Wang, and X. H. Chen, Three-dimensional charge density wave and surface dependent vortex core states in a kagome superconductor , Phys. Rev. X 11, 031026 (2021).
- B. R. Ortiz, S. M. L. Teicher, L. Kautzsch, P. M. Sarte, N. Ratcliff, J. Harter, R. Seshadri, and S. D. Wilson, Fermi surface mapping and the nature of charge-density-wave order in the kagome superconductor , Phys. Rev. X 11, 041030 (2021).
- L. W. Huai, H. Y. Li, Y. L. Han, Y. Luo, S. T. Peng, Z. Y. Wei, J. C. Shen, B. Q. Wang, Y. Miao, X. P. Sun, Z. P. Ou, B. Liu, X. X. Yu, Z. J. Xiang, M. Q. Kuang, Z. H. Qiao, X. H. Chen, and J. F. He, Two-dimensional phase diagram of the charge density wave in doped , npj Quantum Mater. 9, 23 (2024).
- D. W. Song, L. X. Zheng, F. H. Yu, J. Li, L. P. Nie, M. Shan, D. Zhao, S. J. Li, B. L. Kang, Z. M. Wu, Y. B. Zhou, K. L. Sun, K. Liu, X. G. Luo, Z. Y. Wang, J. J. Ying, X. G. Wan, T. Wu, and X. H. Chen, Orbital ordering and fluctuations in a kagome superconductor , Sci China Phys Mech 65, 247462 (2022).
- S. Y. Yang, Y. J. Wang, B. R. Ortiz, D. F. Liu, J. Gayles, E. Derunova, R. Gonzalez-Hernandez, L. Smejkal, Y. L. Chen, S. S. P. Parkin, S. D. Wilson, E. S. Toberer, T. McQueen, and M. N. Ali, Giant, unconventional anomalous Hall effect in the metallic frustrated magnet candidate, , Sci. Adv. 6, eabb6003 (2020).
- F. H. Yu, T. Wu, Z. Y. Wang, B. Lei, W. Z. Zhuo, J. J. Ying, and X. H. Chen, Concurrence of anomalous Hall effect and charge density wave in a superconducting topological kagome metal, Phys. Rev. B 104, L041103 (2021).
- L. Yu, C. N. Wang, Y. H. Zhang, M. Sander, S. L. Ni, Z. Y. W. Lu, S. Ma, Z. G. Wang, Z. Zhao, H. Chen, K. Jiang, Y. Zhang, H. T. Yang, F. Zhou, X. L. Dong, S. L. Johnson, M. J. Graf, J. P. Hu, H.-J. Gao, and Z. X. Zhao, Evidence of a hidden flux phase in the topological kagome metal , arXiv:2107.10714.
- Y. Xiang, Q. Li, Y. K. Li, W. Xie, H. Yang, Z. W. Wang, Y. G. Yao, and H. H. Wen, Twofold symmetry of -axis resistivity in topological kagome superconductor with in-plane rotating magnetic field, Nat. Commun. 12, 6727 (2021).
- L. Kautzsch, B. R. Ortiz, K. Mallayya, J. Plumb, G. Pokharel, J. P. C. Ruff, Z. Islam, E. A. Kim, R. Seshadri, and S. D. Wilson, Structural evolution of the kagome superconductors (A = K, Rb, and Cs) through charge density wave order, Phys. Rev. Mater. 7, 024806 (2023).
- J. Frassineti, P. Bonfa, 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).
- M. G. Kang, S. Fang, J. Yoo, B. R. Ortiz, Y. M. Oey, J. Choi, S. H. Ryu, J. Kim, C. Jozwiak, A. Bostwick, E. Rotenberg, E. Kaxiras, J. G. Checkelsky, S. D. Wilson, J. H. Park, and R. Comin, Charge order landscape and competition with superconductivity in kagome metals, Nat. Mater. 22, 186 (2023).
- Y. Hu, X. X. Wu, B. R. Ortiz, X. L. Han, N. C. Plumb, S. D. Wilson, A. P. Schnyder, and M. Shi, Coexistence of trihexagonal and star-of-David pattern in the charge density wave of the kagome superconductor , Phys. Rev. B 106, L241106 (2022).
- Q. Stahl, D. Chen, T. Ritschel, C. Shekhar, E. Sadrollahi, M. C. Rahn, O. Ivashko, M. V. Zimmermann, C. Felser, and J. Geck, Temperature-driven reorganization of electronic order in , Phys. Rev. B 105, 195136 (2022).
- Q. Xiao, Y. H. Lin, Q. Z. Li, X. Q. Zheng, S. Francoual, C. Plueckthun, W. Xia, Q. Z. Qiu, S. L. Zhang, Y. F. Guo, J. Feng, and Y. Y. Peng, Coexistence of multiple stacking charge density waves in kagome superconductor , Phys. Rev. Res. 5, L012032 (2023).
- Y. Hu, X. X. Wu, A. P. Schnyder, and M. Shi, Electronic landscape of kagome superconductors ( = K, Rb, Cs) from angle-resolved photoemission spectroscopy, npj Quantum Mater. 8, 67 (2023).
- L. Kautzsch, Y. M. Oey, H. Li, Z. Ren, B. R. Ortiz, G. Pokharel, R. Seshadri, J. Ruff, T. Kongruengkit, J. W. Harter, Z. Q. Wang, I. Zeljkovic, and S. D. Wilson, Incommensurate charge-stripe correlations in the kagome superconductor , npj Quantum Mater. 8, 37 (2023).
- J. Plumb, A. C. Salinas, K. Mallayya, E. Kisiel, F. B. Carneiro, R. Gomez, G. Pokharel, E. A. Kim, S. Sarker, Z. Islam, S. Daly, and S. D. Wilson, Phase-separated charge order and twinning across length scales in , Phys. Rev. Mater. 8, 093601 (2024).
- F. H. Yu, D. H. Ma, W. Z. Zhuo, S. Q. Liu, X. K. Wen, B. Lei, J. J. Ying, and X. H. Chen, Unusual competition of superconductivity and charge-density-wave state in a compressed topological kagome metal, Nat. Commun. 12, 3645 (2021).
- K. Y. Chen, N. N. Wang, Q. W. Yin, Y. H. Gu, K. Jiang, Z. J. Tu, C. S. Gong, Y. Uwatoko, J. P. Sun, H. C. Lei, J. P. Hu, and J. G. Cheng, Double superconducting dome and triple enhancement of in the kagome superconductor under high pressure, Phys. Rev. Lett. 126, 247001 (2021).
- N. N. Wang, K. Y. Chen, Q. W. Yin, Y. N. N. Ma, B. Y. Pan, X. Yang, X. Y. Ji, S. L. Wu, P. F. Shan, S. X. Xu, Z. J. Tu, C. S. Gong, G. T. Liu, G. Li, Y. Uwatoko, X. L. Dong, H. C. Lei, J. P. Sun, and J. G. Cheng, Competition between charge-density-wave and superconductivity in the kagome metal , Phys. Rev. Res. 3, 043018 (2021).
- F. Du, S. S. Luo, B. R. Ortiz, Y. Chen, W. Y. Duan, D. T. Zhang, X. Lu, S. D. Wilson, Y. Song, and H. Q. Yuan, Pressure-induced double superconducting domes and charge instability in the kagome metal , Phys. Rev. B 103, L220504 (2021).
- L. X. Zheng, Z. M. Wu, Y. Yang, L. P. Nie, M. Shan, K. L. Sun, D. W. Song, F. H. Yu, J. Li, D. Zhao, S. J. Li, B. L. Kang, Y. B. Zhou, K. Liu, Z. J. Xiang, J. N. Ying, Z. Y. Wang, T. Wu, and X. H. Chen, Emergent charge order in pressurized kagome superconductor , Nature (London) 611, 682 (2022).
- X. Y. Feng, Z. Zhao, J. Luo, J. Yang, A. F. Fang, H. T. Yang, H. J. Gao, R. Zhou, and G. Q. Zheng, Commensurate-to-incommensurate transition of charge-density-wave order and a possible quantum critical point in pressurized kagome metal , npj Quantum Mater. 8, 23 (2023).
- F. Stier, A. A. Haghighirad, G. Garbarino, S. Mishra, N. Stilkerich, D. Chen, C. Shekhar, T. Lacmann, C. Felser, T. Ritschel, J. Geck, and M. Le Tacon, Pressure-dependent electronic superlattice in the kagome superconductor , Phys. Rev. Lett. 133, 236503 (2024).
- D. Chen, B. He, M. Y. Yao, Y. Pan, H. C. Lin, W. Schnelle, Y. Sun, J. Gooth, L. Taillefer, and C. Felser, Anomalous thermoelectric effects and quantum oscillations in the kagome metal , Phys. Rev. B 105, L201109 (2022).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/fksg-y9xr for specific computational details, which includes Refs. [35, 36, 37, 38, 39].
- G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B 13, 5188 (1976).
- S. Grimme, J. Antony, S. Ehrlich, and H. Krieg, A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu, J. Chem. Phys. 132, 154104 (2010).
- P. M. C. Rourke and S. R. Julian, Numerical extraction of de Haas–van Alphen frequencies from calculated band energies, Comput. Phys. Commun. 183, 324 (2012).
- W. Zhang, T. F. Poon, C. W. Tsang, W. Wang, X. Liu, J. Xie, S. T. Lam, S. Wang, K. T. Lai, A. Pourret, G. Seyfarth, G. Knebel, W. C. Yu, and S. K. Goh, Large Fermi surface in pristine kagome metal and enhanced quasiparticle effective masses, Proc. Natl. Acad. Sci. USA 121, e2322270121 (2024).
- D. Shoenberg, Magnetic Oscillations in Metals (Cambridge University Press, Cambridge, 1984).
- A. P. Morales, A. Pourret, G. Knebel, G. Bastien, V. Taufour, D. Aoki, H. Yamagami, and J. Flouquet, Thermoelectric power quantum oscillations in the ferromagnet , Phys. Rev. B 93, 155120 (2016).
- A. V. Pantsulaya and A. A. Varlamov, Possibility of observation of giant oscillations of thermoelectric power in normal metal, Phys. Lett. A 136, 317 (1989).
- C. Phillips, K. Shtefiienko, T. Nguyen, A. N. C. Salinas, B. A. Magar, G. Pokharel, S. D. Wilson, D. E. Graf, and K. Shrestha, Fermi surface reconstruction under pressure in the kagome metal , Phys. Rev. B 110, 205135 (2024).
- K. Shrestha, R. Chapai, B. K. Pokharel, D. Miertschin, T. Nguyen, X. Zhou, D. Y. Chung, M. G. Kanatzidis, J. F. Mitchell, U. Welp, D. Popovic, D. E. Graf, B. Lorenz, and W. K. Kwok, Nontrivial Fermi surface topology of the kagome superconductor probed by de Haas-van Alphen oscillations, Phys. Rev. B 105, 024508 (2022).