Superconductivity in the High‐Entropy Ceramics Ti 0.2 Zr 0.2 Nb 0.2 Mo 0.2 Ta 0.2 C x with Possible Nontrivial Band Topology
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Topological superconductors have drawn significant interest from the scientific community due to the accompanying Majorana fermions. Here, the discovery of electronic structure and superconductivity (SC) in high‐entropy ceramics Ti 0.2 Zr 0.2 Nb 0.2 Mo 0.2 Ta 0.2 C x ( x = 1 and 0.8) combined with experiments and first‐principles calculations is reported. The Ti 0.2 Zr 0.2 Nb 0.2 Mo 0.2 Ta 0.2 C x high‐entropy ceramics show bulk type‐II SC with T c ≈ 4.00 K ( x = 1) and 2.65 K ( x = 0.8), respectively. The specific heat jump (∆ C / γT c ) is equal to 1.45 ( x = 1) and 1.52 ( x = 0.8), close to the expected value of 1.43 for the BCS superconductor in the weak coupling limit. The high‐pressure resistance measurements show a robust SC against high physical pressure in Ti 0.2 Zr 0.2 Nb 0.2 Mo 0.2 Ta 0.2 C, with a slight T c variation of 0.3 K within 82.5 GPa. Furthermore, the first‐principles calculations indicate that the Dirac‐like point exists in the electronic band structures of Ti 0.2 Zr 0.2 Nb 0.2 Mo 0.2 Ta 0.2 C, which is potentially a topological superconductor. The Dirac‐like point is mainly contributed by the d orbitals of transition metals M and the p orbitals of C. The high‐entropy ceramics provide an excellent platform for the fabrication of novel quantum devices, and the study may spark significant future physics investigations in this intriguing material.
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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 [45]
The Abstract reports superconductivity in two compositions of one high-entropy carbide and a calculated Dirac-like point for the x = 1 composition, making it a potential topological superconductor. It does not establish topological properties in many high-entropy carbide superconductors; the Introduction says those properties remain worth exploring. (LLM, conf=0.88)
Experimental — accuracy not yet measuredNontrivial electronic bands exist in other high-entropy carbide superconductors, such as Ti0.2Zr0.2Nb0.2Ta0.2Mo0.2C and Ti0.2Nb0.2Ta0.2Mo0.2W0.2C1-xNx (0 ≤ x ≤ 0.45).
“Nontrivial electronic bands also exist in other high-entropy carbide superconductors, such as Ti0.2Zr0.2Nb0.2Ta0.2Mo0.2C and Ti0.2Nb0.2Ta0.2Mo0.2W0.2C1x N x (0 ≤ x ≤ 0.45) 45,46 .”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [45]
The Results and Discussion section (page not provided) reports calculated type-II Dirac-like points in the bands of Ti0.2Zr0.2Nb0.2Mo0.2Ta0.2C, supporting the example attributable to this paper. It calls the material a topological-superconductor candidate, however, rather than establishing nontrivial topology as a confirmed fact. The nitrogen-containing compound appears to be paired with the sentence’s other citation and is not assessed against this source. (LLM, conf=0.86)
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 [45]
Superconductivity was also observed in the Ti0.2Zr0.2Nb0.2Ta0.2Mo0.2Cx and Ti0.2Nb0.2Ta0.2Mo0.2W0.2C1-xNx systems.
“Superconductivity was also observed in the Ti0.2Zr0.2Nb0.2Ta0.2Mo0.2C x and Ti0.2Nb0.2Ta0.2Mo0.2W0.2C1x N x systems 45,46 .”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [45]
The 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 [45]
The Tc remains almost constant under different pressures (0-80 GPa) for the Ti0.2Zr0.2Nb0.2Mo0.2Ta0.2C superconductor.
“In addition, the T c remains almost constant under different pressures (0 -80 GPa), which is also observed for the Ti0.2Zr0.2Nb0.2Mo0.2Ta0.2C superconductor 45 .”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [45]
The highest Tc of these high-entropy carbide superconductors is approximately 6 K, observed in the Ti0.2Nb0.2Ta0.2Mo0.2W0.2C0.7N0.3 sample.
“The highest Tc of these high-entropy carbide superconductors is approximately 6 K, which is observed in the Ti0.2Nb0.2Ta0.2Mo0.2W0.2C0.7N0.3 sample.”
From Recent advances in high-entropy superconductors (2024) · cites this paper as [45]
The Introduction and Results and Discussion (page unavailable) report Tc values of about 4.00 K and 2.65 K for Ti0.2Zr0.2Nb0.2Mo0.2Ta0.2Cx. Searches for the claimed Ti–Nb–Ta–Mo–W carbonitride and a highest Tc of approximately 6 K found no passage addressing either point. The reported values for this paper’s different samples do not establish or refute the claimed maximum. (LLM, conf=0.75)
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Cites
Discovery of a Superconducting High-Entropy Alloy
Koželj, P., Vrtnik, S., Jelen, A., Jazbec, S., Jagličić, Z., Maiti, S., Feuerbacher, M., Steurer, W., & Dolinšek, J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.107001 · Cited by 552 · see citing works
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Recent advances in high-entropy superconductors
Zeng, L., Li, L., Li, K., Chen, R., & Luo, H. (2024) · NPG Asia Materials · doi:10.1038/s41427-024-00579-z · Cited by 38 · see citing works
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- Authors
- Zeng, L., Hu, X., Zhou, Y., Boubeche, M., Guo, R., Liu, Y., Luo, S., Guo, S., Li, K., Yu, P., Zhang, C., Guo, W., Sun, L., Yao, D., & Luo, H.
- Affiliations
- Sun Yat-sen University (CN)
- Chinese Academy of Sciences (CN)
- Songshan Lake Materials Laboratory (CN)
- Southern University of Science and Technology (CN)
- School of Electromechanical Engineering Guangdong University of Technology Guangzhou 510006 China
- Guangdong University of Technology (CN)
- Corresponding author
- Sun, Liling
- Yao, Dao‐Xin
- Luo, Huixia
- ORCID
- Venue
- Advanced Science
- Publisher
- Wiley
- Published
- 2023-12-05
- Volume
- 11
- Issue
- 5
- Pages
- e2305054-e2305054
- ISSN
- 2198-3844 (ISSN-L)
- PMC
- PMC10837384
- OpenAlex
- W4389337861
- Cited by
- 22
- References
- 2
- Citations by year
- 2026: 5 · 2025: 10 · 2024: 5 · 2023: 2
- FWCI
- 2.33
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- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Advanced Science (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Natural Science Foundation of China (12274471, 11922415, 92165204, 11974432, 22205091)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Engineering › Mechanical Engineering › High Entropy Alloys Studies
- Keywords
- high-entropy ceramics, superconductivity, topological superconductors, Majorana fermions, type-II superconductivity, specific heat jump, high-pressure resistance, electronic band structure, transition metal carbides
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