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Superconductivity at 28 K in Sodium Graphite Intercalation Compound under High Pressure
Phys. Rev. Lett. 135, 166003 – Published 15 October, 2025
DOI: https://doi.org/10.1103/2t6l-sqmj
Abstract
The discovery of 15.1 K superconductivity in first-stage reignited interest in searching for high-temperature superconductors in graphite intercalation compounds (GICs). However, despite nearly two decades of intensive research, progress in exploring high-temperature superconductivity in GIC materials has remained stagnant. Currently, research on the superconductivity of GICs mainly focuses on first-stage GICs, while the superconductivity of high-stage GICs has been largely overlooked. Here, we report an experimental discovery of superconductivity with maximum critical temperature () of approximately 28 K in sodium carbide at about 14 GPa evidenced by a sharp drop of resistance and a characteristic decrease of under magnetic fields up to 6 T. The upper critical field was estimated to be 8.8 T based on fitting with the Ginzburg-Landau superconducting model while the coherent length is approximately . X-ray diffraction measurements combined with crystal structure predictions identified the superconducting candidate material as the second-stage GIC , in which sodium atoms occupy the interlayer spaces between AA-stacked bilayer graphene. The current findings not only achieve the long-sought high- GICs, but more importantly, open up a new avenue for exploring high-temperature superconductors in light-element compounds.
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References (55)
- H. Kamerlingh Onnes, Commun. Phys. Lab. Univ. Leiden 120b, 261 (1911), https://physics.ucf.edu/~rep/EDII/Onnes1911.pdf.
- P. Ares and K. S. Novoselov, Nano Mater. Sci. 4, 3 (2022).
- N. B. Hannay, T. H. Geballe, B. T. Matthias, K. Andres, P. Schmidt, and D. MacNair, Phys. Rev. Lett. 14, 225 (1965).
- Y. Koike, H. Suematsu, K. Higuchi, and S. Tanuma, Solid State Commun. 27, 623 (1978).
- A. Hérold, D. Billaud, D. Guérard, P. Lagrange, and M. El Makrini, Physica (Amsterdam) 105B+C, 253 (1981).
- M. Kobayashi, T. Enoki, H. Inokuchi, M. Sano, A. Sumiyama, Y. Oda, and H. Nagano, Synth. Met. 12, 341 (1985).
- I. T. Belash, A. D. Bronnikov, O. V. Zharikov, and A. V. Pal’nichenko, Solid State Commun. 69, 921 (1989).
- I. T. Belash, A. D. Bronnikov, O. V. Zharikov, and A. V. Palnichenko, Synth. Met. 36, 283 (1990).
- V. V. Avdeev, O. V. Zharikov, V. A. Nalimova, A. V. Pal’nichenko, and K. N. Semenenko, JEPT Lett. 43, 376 (1986), http://jetpletters.ru/ps/0/article_21356.shtml.
- I. A. Udod, H. B. Orman, and V. K. Genchel, Carbon 32, 101 (1994).
- I. A. Udod and V. K. Genchel, High Press. Res. 8, 581 (1992).
- I. Udod, Synth. Met. 88, 127 (1997).
- N. Emery, C. Hérold, M. d’Astuto, V. Garcia, C. Bellin, J. F. Marêché, P. Lagrange, and G. Loupias, Phys. Rev. Lett. 95, 087003 (2005).
- T. E. Weller, M. Ellerby, S. S. Saxena, R. P. Smith, and N. T. Skipper, Nat. Phys. 1, 39 (2005).
- A. Gauzzi, S. Takashima, N. Takeshita, C. Terakura, H. Takagi, N. Emery, C. Hérold, P. Lagrange, and G. Loupias, Phys. Rev. Lett. 98, 067002 (2007).
- J. S. Kim, L. Boeri, J. R. O’Brien, F. S. Razavi, and R. K. Kremer, Phys. Rev. Lett. 99, 027001 (2007).
- N. Emery, C. Hérold, J.-F. Marêché, C. Bellouard, G. Loupias, and P. Lagrange, J. Solid State Chem. 179, 1289 (2006).
- S. Heguri, N. Kawade, T. Fujisawa, A. Yamaguchi, A. Sumiyama, K. Tanigaki, and M. Kobayashi, Phys. Rev. Lett. 114, 247201 (2015).
- Y. Kubozono, R. Eguchi, H. Goto, S. Hamao, T. Kambe, T. Terao, S. Nishiyama, L. Zheng, X. Miao, and H. Okamoto, J. Phys. Condens. Matter 28, 334001 (2016).
- Y. Iye and S.-i. Tanuma, Phys. Rev. B 25, 4583 (1982).
- P. Lagrange, A. Bendriss-Rerhrhaye, J. F. Mareche, and E. McRae, Synth. Met. 12, 201 (1985).
- A. Chaiken, M. S. Dresselhaus, T. P. Orlando, G. Dresselhaus, P. M. Tedrow, D. A. Neumann, and W. A. Kamitakahara, Phys. Rev. B 41, 71 (1990).
- M. H. Yang, P. A. Charron, R. E. Heinz, and P. C. Eklund, Phys. Rev. B 37, 1711 (1988).
- S. B. Mishra, E. T. Marcial, S. Debata, A. N. Kolmogorov, and E. R. Margine, Phys. Rev. B 110, 174508 (2024).
- N. Hirao, S. I. Kawaguchi, K. Hirose, K. Shimizu, E. Ohtani, and Y. Ohishi, Matter Radiat. Extremes 5, 018403 (2020).
- C. Prescher and V. B. Prakapenka, High Press. Res. 35, 223 (2015).
- B. H. Toby and R. B. Von Dreele, J. Appl. Crystallogr. 46, 544 (2013).
- Y. Wang, J. Lv, L. Zhu, and Y. Ma, Phys. Rev. B 82, 094116 (2010).
- Y. Wang, J. Lv, L. Zhu, and Y. Ma, Comput. Phys. Commun. 183, 2063 (2012).
- B. Gao, P. Gao, S. Lu, J. Lv, Y. Wang, and Y. Ma, Sci. Bull. 64, 301 (2019).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/2t6l-sqmj for additional data on the detailed information regarding experimental and theoretical calculations, electrical resistance measurements of each cell, synchrotron x-ray diffraction data, theoretical calculation results, and refined structural information of , which includes Refs. [24,26,28–30,32–47].
- Y. Akahama and H. Kawamura, J. Appl. Phys. 100, 043516 (2006).
- B. H. Toby, J. Appl. Crystallogr. 34, 210 (2001).
- G. Kresse and J. Furthmüller, Phys. Rev. B 54, 11169 (1996).
- J. P. Perdew and Y. Wang, Phys. Rev. B 46, 12947 (1992).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
- P. E. Blöchl, Phys. Rev. B 50, 17953 (1994).
- H. J. Monkhorst and J. D. Pack, Phys. Rev. B 13, 5188 (1976).
- J. Klimeš, D. R. Bowler, and A. Michaelides, J. Phys. Condens. Matter 22, 022201 (2009).
- J. Klimeš, D. R. Bowler, and A. Michaelides, Phys. Rev. B 83, 195131 (2011).
- S. Baroni, S. de Gironcoli, A. Dal Corso, and P. Giannozzi, Rev. Mod. Phys. 73, 515 (2001).
- P. Giannozzi et al., J. Phys. Condens. Matter 21, 395502 (2009).
- T. Thonhauser, S. Zuluaga, C. A. Arter, K. Berland, E. Schröder, and P. Hyldgaard, Phys. Rev. Lett. 115, 136402 (2015).
- K. Berland, V. R. Cooper, K. Lee, E. Schröder, T. Thonhauser, P. Hyldgaard, and B. I. Lundqvist, Rep. Prog. Phys. 78, 066501 (2015).
- D. R. Hamann, Phys. Rev. B 88, 085117 (2013).
- P. B. Allen and R. C. Dynes, Phys. Rev. B 12, 905 (1975).
- C.-M. Hao et al., Phys. Rev. B 108, 214507 (2023).
- L. D. Landau and V. L. Ginzburg, Zh. Eksp. Teor. Fiz. 20, 1064 (1950).
- Q. Yang, K. Zhao, H. Liu, and S. Zhang, J. Phys. Chem. Lett. 12, 5850 (2021).
- C.-M. Hao, S. Ding, B. Xu, F. Li, M.-X. Huang, X. Dong, Z. Zhao, G. Yang, X.-F. Zhou, and Y. Tian, Appl. Phys. Lett. 126, 121903 (2025).
- A. Grubišić-Čabo et al., Front. Nanotechnol. 5, 1333127 (2024).
- G. Profeta, M. Calandra, and F. Mauri, Nat. Phys. 8, 131 (2012).
- M. Calandra and F. Mauri, Phys. Rev. B 74, 094507 (2006).
- L. Boeri, G. B. Bachelet, M. Giantomassi, and O. K. Andersen, Phys. Rev. B 76, 064510 (2007).
- A. O. Sboychakov, A. L. Rakhmanov, and A. V. Rozhkov, Physica (Amsterdam) 165E, 116118 (2025).