Discovery of the High‐Entropy Carbide Ceramic Topological Superconductor Candidate (Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2)C
Open accessAbstract
High‐entropy ceramics (HECs) are solid solutions of inorganic compounds with one or more Wyckoff sites shared by equal or near‐equal atomic ratios of multi‐principal elements. Material design and property tailoring possibilities emerge from this new class of materials. Herein, the discovery of superconductivity 2.35 K and topological properties in the (Ti 0.2 Zr 0.2 Nb 0.2 Hf 0.2 Ta 0.2)C high‐entropy carbide ceramic (HECC) is reported, which is not observed before in any of the investigated HECC. Density functional theory calculations show that six type‐II Dirac points exist in (Ti 0.2 Zr 0.2 Nb 0.2 Hf 0.2 Ta 0.2)C, which mainly contributed from the t2g orbitals of transition metals and the p orbitals of C. Due to the stability of the structure, robust superconductivity (SC) under pressure in this HEC superconductor is also observed. This study expands the physical properties of HECs, which may become a new material platform for SC research, especially for studying the coupling between SC and topological physics.
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Topological properties are reported in many high-entropy carbide superconductors.
“Currently, topological properties are reported in many high-entropy carbide superconductors 44 -46 .”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Abstract reports topological properties in one high-entropy carbide superconductor, (Ti₀.₂Zr₀.₂Nb₀.₂Hf₀.₂Ta₀.₂)C, and says they had not previously been observed in the investigated high-entropy carbide ceramics. The Introduction likewise says there were no prior reports of superconductivity in such ceramics; its examples of other topological carbides are binary compounds, not high-entropy carbides. (LLM, conf=0.88)
Checked by a reasoning model — may be wrong.
Experimental — accuracy not yet measuredThe specific heat jump value is close to the theoretical BCS value of 1.43.
“The speci fi c heat jump value is close to the theoretical BCS value of 1.43.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Experimental Section (page unavailable) reports a normalized heat-capacity jump of 1.25, which is reasonably close to 1.43. Our copy does not identify 1.43 as the theoretical BCS value, so that part of the attributed comparison is not established by this source. (LLM, conf=0.83)
Experimental — accuracy not yet measuredThe discovered high-entropy carbide superconductors are type II superconductors, with μ0Hc2(0) values between 0.5 and 5 T.
“The discovered high-entropy carbide superconductors are type II superconductors, with μ 0Hc2(0) values between 0.5 and 5 T.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Experimental Section (page unavailable) reports upper critical fields of 0.39 T and 0.51 T, depending on the calculation, for one high-entropy carbide. Thus one estimate falls within the claimed 0.5–5 T range, but the other falls below it, and the paper does not establish that range for multiple carbide superconductors. The copy mentions type-II Dirac points, not an explicit classification of the carbide as a type-II superconductor. (LLM, conf=0.88)
Experimental — accuracy not yet measuredThe observed increase in Tc in NaCl-type high-entropy carbide superconductors is relatively less pronounced than that in crystalline alloys, exhibiting a monotonically increasing trend akin to that observed in amorphous superconductors.
“The observed increase in T c in NaCl-type high-entropy carbide superconductors is relatively less pronounced than that in crystalline alloys, exhibiting a monotonically increasing trend akin to that observed in amorphous superconductors.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Results and Discussion (page unavailable) report that Tc rises from non-superconducting carbides at 4 electrons per atom to 2.35 K for the studied high-entropy carbide at 4.2. The paper does not establish that this increase is smaller than in crystalline alloys or follows an amorphous-like monotonic trend; it reports that Tc decreases above 4.8 electrons per atom in related NaCl-type compounds. (LLM, conf=0.82)
Experimental — accuracy not yet measuredExperimental evidence has indicated that the VEC of HEA and HEC superconductors is critical in determining their superconducting Tc and material stability.
“Experimental evidence has indicated that the VEC of HEA and HEC superconductors is critical in determining their superconducting T c and material stability.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Introduction reports a strong correlation between VEC and Tc in a specified HEA system and proposes studying that relationship in high-entropy carbides. The Results and Discussion mention lattice instability near 4.8 electrons per atom in pseudo-binary systems, but attribute improved stability in high-entropy carbides to configurational entropy. The paper does not establish that VEC determines both Tc and material stability across HEA and HEC superconductors. (LLM, conf=0.86)
Experimental — accuracy not yet measured
In NaCl-type high-entropy carbide superconductors, the VEC is 4.2 for Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C, and Ti0.2Nb0.2Ta0.2Mo0.2W0.2C1-xNx (0 ≤ x ≤ 0.45) has a VEC ranging from 4.6 to 4.825.
“In NaCltype high-entropy carbide superconductors, the VEC is 4.2 for Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C, and Ti0.2Nb0.2Ta0.2Mo0.2W0.2C1x N x (0 ≤ x ≤ 0.45) has a VEC ranging from 4.6 to 4.825.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Results and Discussion section (page unavailable) gives 4.2 electrons per atom for (Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2)C and describes its NaCl-type structure. Our copy does not report the Ti–Nb–Ta–Mo–W carbide–nitride composition or its claimed VEC range of 4.6–4.825. (LLM, conf=0.88)
Experimental — accuracy not yet measuredIn some HEA systems, high-entropy superconductors have higher μ0Hc2(0)/Tc values than binary or ternary compounds.
“In some HEA systems, high-entropy superconductors appear to have higher μ 0Hc2(0)/ T c values than binary or ternary compounds 44,70 .”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Results and Discussion report that this high-entropy carbide ceramic has a higher Hc2(0)/Tc ratio than the binary compounds NbC and TaC. The paper does not make that comparison with ternary compounds, and its Introduction distinguishes high-entropy ceramics from high-entropy alloys (HEAs). (LLM, conf=0.86)
Experimental — accuracy not yet measuredTi0.2Zr0.2Nb0.2Hf0.2Ta0.2C, the first high-entropy carbide superconductor, shows bulk type II superconductivity with Tc = 2.35 K, μ0Hc1(0) = 26.1 mT, and μ0Hc2(0) = 0.51 T.
“Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C, the fi rst high-entropy carbide superconductor, shows bulk type II superconductivity with T c = 2.35 K, μ 0Hc1(0) = 26.1 mT, and μ 0Hc2(0) = 0.51 T 44 .”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The superconductivity of Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C is robust, with a Tc variation of merely 0.5 K across a pressure range of 50 GPa.
“The superconductivity is robust, with a T c variation of merely 0.5 K across a pressure range of 50 GPa, akin to that observed in the (NbTa)0.67(TiZrHf)0.33 HEA.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Tc slightly decreases from 2.67 K at ambient pressure to 2.15 K at approximately 50 GPa in the Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C superconductor.
“The T c slightly decreases from 2.67 K at ambient pressure to 2.15 K at approximately 50 GPa in the Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C superconductor 44 .”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C is the first reported superconductor in a high-entropy carbide with Tc = 2.35 K.
“Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C is the fi rst reported superconductor in a high-entropy carbide with T c = 2.35 K.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
When accounting for disorder from transition metal elements, the energies of the type-II Dirac points in Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C deviate from the Fermi level, ranging between -0.231 eV and -0.017 eV.
“When accounting for the impact of disorder from the transition metal elements on the band structures of Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C, the energies of the type-II Dirac points deviate from the Fermi level, ranging between -0.231 eV and -0.017 eV.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
DFT calculations show that Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C has six type II Dirac points, attributed mainly to the p orbitals of carbon and the t2g orbitals of transition metals.
“The DFT calculations show that Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C has six type II Dirac points, which are attributed mainly to the p orbitals of carbon and the t 2g orbitals of transition metals 44 .”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
Under compressive pressure, the type II Dirac points in Ti0.2Zr0.2Nb0.2Hf0.2Ta0.2C are precisely located at the Fermi level.
“Furthermore, the type II Dirac points are precisely located at the Fermi level when compressive pressure is applied.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Tc range is approximately 2-8 K in BCC-type HEA superconductors.
“The T c range is approximately 2 -8 K in BCC-type HEA superconductors.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Introduction discusses high-entropy alloy (HEA) superconductors but gives no 2–8 K transition-temperature range for BCC-type HEAs. The Results and Discussion report a Tc of 2.35 K for the paper’s carbide ceramic, which has an FCC rock-salt structure, not a BCC-type HEA (page unavailable). Searches for BCC, body-centered cubic, and 8 K did not locate the claimed range. (LLM, conf=0.74)
Experimental — accuracy not yet measuredThe upper critical fields appear to increase with increasing entropy in some high-entropy systems.
“Furthermore, the upper critical fi elds appear to increase with increasing entropy in some high-entropy systems 9,44,70 .”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [44]
The Experimental Section (page unavailable) estimates the upper critical field for one high-entropy carbide, while the Results and Discussion describes configurational entropy as stabilizing its structure. Neither passage compares upper critical fields across entropy levels or reports that they increase with entropy (searched: upper critical field, entropy, and Hc2/Tc). (LLM, conf=0.76)
Experimental — accuracy not yet measured
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References 53 · Cited by 39
Research works printed but not linked: 57
- [1]1. Y. Ye, Q. Wang, J. Lu, C. Liu, Y. Yang, Mater. Today. 2015, 19, 349.
- [2]2. E. P. George, D. Raabe, R. O. Ritchie, Nat. Rev. Mater. 2019, 4, 515.
- [3]3. Z. Wang, Z.-T. Li, S. Zhao, Z.-G. Wu, Tungsten 2021, 3, 131.
- [4]4. X. Yan, J. Li, W. Zhang, Y. Zhang, Mater. Chem. Phys. 2018, 210, 12.
- [5]5. P. Sarker, T. Harrington, C. Toher, C. Oses, M. Samiee, J.-P. Maria, D. W. Brenner, K. S. Vecchio, S. Curtarolo, Nat. Comm. 2018, 9, 4980.
- [6]6. J.-W. Yeh, S.-K. Chen, S.-J. Lin, J.-Y. Gan, T.-S. Chin, T.-T. Shun, C.-H. Tsau, S.-Y. Chang, Adv. Energy. Mater. 2004, 6, 299.
- [7]7. J.-W. Yeh, Y.-L. Chen, S.-J. Lin, S.-K. Chen, J. Mater. Sci. Forum. 2007, 560, 1.
- [8]8. X. Lim, Nature 2016, 533, 306.
- [9]9. O. N. Senkov, S. V. Senkova, C. Woodward, D. B. Miracle, Acta. Mater. 2013, 61, 1545.
- [10]10. H. C. Shih, C. P. Lee, Y. Y. Chen, C. H. Wu, C. Y. Hsu, J. W. Yeh, ECS Trans. 2007, 2, 15.
- [11]11. P. Koželj, S. Vrtnik, A. Jelen, S. Jazbec, Z. Jagličić, S. Maiti, M. Feuerbacher, W. Steurer, J. Dolinšek, Phys. Rev. Lett. 2014, 113, 107001.
- [12]12. F. V. Rohr, M. Winiarski, J. Tao, T. Klimczuk, R. J. Cava, Proc. Natl. Acad. Sci. U. S. A. 2017, 113, E7144.
- [13]13. J. Guo, H. Wang, F. V. Rohr, Z. Wang, S. Cai, Y. Zhou, K. Yang, A. Li, S. Jiang, Q. Wu, R. J. Cava, L. Sun, Proc. Natl. Acad. Sci. U. S. A. 2017, 114, 13144.
- [14]14. X. Zhang, N. Winter, C. Witteveen, T. Moehl, Y. Xiao, F. Krogh, A. Schilling, F. O. vonRohr, Phys. Rev. Res. 2020, 2, 013375.
- [15]15. S. Marik, K. Motla, M. Varghese, K. P. Sajilesh, D. Singh, Y. Breard, P. Boullay, R. P. Singh, Phys Rev 2019, 3, 060602(R).
- [16]16. K. Stolze, J. Tao, F. V. Rohr, T. Kong, R. J. Cava, Chem. Mater. 2018, 30, 906.
- [17]17. S. Karoline, F. A. Cevallos, T. Kong, R. J. Cava, J. Mater. Chem. C 2018, 6, 10441.
- [18]18. L. Sun, R. J. Cava, Phys Rev 2019, 3, 090301.
- [19]19. Y. Shukunami, A. Yamashita, Y. Goto, Y. Mizuguchi, Physica. C 2020, 572, 1353623.
- [20]20. Y. Mizuguchi, J. Phys. Soc. Jpn. 2019, 88, 124708.
- [21]21. J.-Z. Ma, J.-B. He, Y.-F. Xu, B. Lv, D. Chen, W.-L. Zhu, S. Zhang, L.-Y. Kong, X. Gao, L.-Y. Rong, Y.-B. Huang, P. Richard, C.-Y. Xi, E. S. Choi, Y. Shao, Y.-L. Wang, H.-J. Gao, X. Dai, C. Fang, H.-M. Weng, G.-F. Chen, T. Qian, H. Ding, Nat. Phys. 2018, 14, 349.
- [22]22. A. Huang, A. D. Smith, M. Schwinn, Q. Lu, T.-R. Chang, W. Xie, H.-T. Jeng, G. Bian, Phys Rev 2018, 2, 054205.
- [23]23. D. Yan, D. Geng, Q. Gao, Z. Cui, C. Yi, Y. Feng, C. Song, H. Luo, M. Yang, M. Arita, S. Kumar, E. F. Schwier, K. Shimade, L. Zhao, K. Wu, H. Weng, L. Chen, X. J. Zhou, Z. Wang, Y. Shi, B. Feng, Phys. Rev. B 2020, 102, 205117.
- [24]24. D. Y. Yan, M. Yang, C. X. Wang, P. B. Song, C. J. Yi, Y. Shi, Supercond. Sci. Tech. 2021, 34, 035025.
- [25]25. T. Shang, J. Z. Zhao, D. J. Gawryluk, M. Shi, M. Medarde, E. Pomjakushina, T. Shiroka, Phys. Rev. B 2020, 101, 214518.
- [26]26. N. Pessall, R. E. Gold, H. A. Johansen, J Phys Chem Solids 1968, 29, 19.
- [27]27. C. M. Rost, E. Sachet, T. Borman, A. Moballegh, E. C. Dickey, D. Hou, J. L. Jones, S. Curtarolo, J. Maria, Nat. Commun. 2015, 6, 8485.
- [28]28. X. Yan, L. Constantin, Y. Lu, J.-F. Silvain, M. Nastasi, B. Cui, J. Am. Ceram. Soc. 2018, 101, 4486.
- [29]29. S. Akrami, P. Edalati, M. Fuji, K. Edalati, Mat. Sci. Eng. R 2021, 146, 100644.
- [30]30. S.-C. Luo, W.-M. Guo, Y.-Z. Zhou, K. Plucknett, H.-T. Lin, J. Mater. Sci. Technol. 2021, 94, 99.
- [31]31. B. T. Matthias, Phys. Rev. 1955, 97, 74.
- [32]32. G. W. Webb, F. Marsiglio, J. E. Hirsch, Physica C 2015, 514, 17.
- [33]33. G. Xiao, Q. Zhu, Y. Cui, W. Yang, B. Li, S. Song, G.-H. Cao, Z. Ren, npj Quantum Mater. 2022, 7, 57.
- [34]34. X. Gui, R. J. Cava, Chem. Mater. 2022, 34, 2824.
- [35]35. S. Li, B. Zeng, X. Wan, J. Tao, F. Han, H. Yang, Z. Wang, H.-H. Wen, Phys. Rev. B 2011, 84, 214527.
- [36]36. W. L. McMillan, Phys. Rev. 1968, 167, 331.
- [37]37. L. Zeng, X. Hu, N. Wang, J. Sun, P. Yang, M. Boubeche, S. Luo, Y. He, J. Cheng, D.-X. Yao, H. Luo, J. Phys. Chem. Lett. 2022, 13, 2442.
- [38]38. L. Zeng, X. Hu, S. Guo, G. Lin, J. Song, K. Li, Y. He, Y. Huang, C. Zhang, P. Yu, J. Ma, D.-X. Yao, H. Luo, Phys. Rev. B 2022, 106, 134501.
- [39]39. M. M. Collver, R. H. Hammond, Phys. Rev. B 1979, 19, 525.
- [40]40. E. G. Maksimov, S. Q. Wang, M. V. Magnitskaya, S. V. Ebert, Super- cond. Sci. Tech. 2009, 22, 075004.
- [41]41. Y. Zou, X. Qi, C. Zhang, S. Ma, W. Zhang, Y. Li, T. Chen, X. Wang, Z. Chen, D. Welch, P. Zhun, B. Liu, Q. Li, T. Cui, B. Li, Stem Cells Int 2016, 6, 22330.
- [42]42. W. Weber, Phys. Rev. B 1973, 8, 5093.
- [43]43. B. Bireckoven, J. Wittig, J. Phys. E: Sci. Instrum. 1988, 21, 841.
- [44]44. A. C. Mark, J. C. Campuzanoa, R. J. Hemley, High-Pressure Res 2022, 42, 137.
- [45]45. A. S. Sefat, Rep Prog Phys 2011, 74, 124502.
- [46]46. A. F. Kusmartseva, B. Sipos, H. Berger, L. Forró, E. Tutiš, Phys. Rev. Lett. 2009, 103, 236401.
- [47]47. J. Pan, W. H. Jiao, X. C. Hong, Z. Zhang, L. P. He, P. L. Cai, J. Zhang, G. H. Cao, S. Y. Li, Phys. Rev. B 2015, 92, 180505(R).
- [48]48. J. Duthie, D. Pettifor, Phys. Rev. Lett. 1977, 38, 564.
- [49]49. Z. Cui, Y. Qian, W. Zhang, H. Weng, Z. Fang, Chin. Phys. Lett. 2020, 37, 087103.
- [50]50. M. Sato, Y. Ando, Rep Prog Phys 2017, 80, 076501.
- [51]51. S. Sasaki, K. Segawa, Y. Ando, Phys. Rev. B 2014, 90, 220504.
- [52]52. S.-C. Luo, W.-M. Guo, K. Plucknett, H.-T. Lin, J. Eur. Ceram. Soc. 2021, 41, 3189.
- [53]53. J. Song, G. Fabbris, W. Bi, D. Haskel, J. S. Schilling, Phys. Rev. Lett. 2018, 121, 037004.
- [54]54. J. Song, W. Bi, D. Haskel, J. S. Schilling, Phys. Rev. B 2017, 95, 205138.
- [55]55. J. P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 1996, 77, 3865.
- [56]56. Y. Yang, W. Wang, G.-Y. Gan, X.-F. Shi, B.-Y. Tang, Physica B Condens Matter 2018, 550, 163.
- [57]57. Y. Yang, L. Ma, G.-Y. Gan, W. Wang, B.-Y. Tang, J. Alloy. Compd. 2019, 788, 1076.
- Authors
- Zeng, L., Wang, Z., Song, J., Lin, G., Guo, R., Luo, S., Guo, S., Li, K., Yu, P., Zhang, C., Guo, W., Ma, J., Hou, Y., & Luo, H.
- Affiliations
- Sun Yat-sen University (CN)
- Chinese Academy of Sciences (CN)
- Shanghai Jiao Tong University (CN)
- Southern University of Science and Technology (CN)
- Guangdong University of Technology (CN)
- Corresponding author
- Hou, Yusheng
- Luo, Huixia
- ORCID
- Venue
- Advanced Functional Materials
- Publisher
- Wiley
- Published
- 2023-05-31
- Volume
- 33
- Issue
- 40
- ISSN
- 1616-301X (ISSN-L)
- 1616-3028
- OpenAlex
- W4378983455
- Semantic Scholar
- 75cfe4731742f0752394b2f8da97024d3fd5323d
- Cited by
- 39
- References
- 53
- Citations by year
- 2026: 7 · 2025: 17 · 2024: 11 · 2023: 4
- FWCI
- 4.53
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Advanced Functional Materials (publishedVersion)
- Funders
- National Natural Science Foundation of China (12274471, 11922415, 12104518, 22205091, 12204514)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Engineering › Mechanical Engineering › High Entropy Alloys Studies
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Keywords
- high-entropy carbide ceramics, topological superconductivity, superconductivity, high-pressure superconductivity, transition metal carbides, t2g orbitals, density functional theory
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