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Tuning superconductivity in high entropy nitrides
Phys. Rev. Materials 10, 064805 – Published 29 June, 2026
DOI: https://doi.org/10.1103/jdhy-4xf5
Abstract
The recently investigated nitrogen (N) incorporation into TiNbMoTaW high entropy alloy films leads to a domelike superconducting transition temperature vs nitrogen concentration (with representing the ratio between atomic fractions of nitrogen and metal atoms, ) in the respective high entropy nitride , with a large enhancement. In this study, we report on the effect of N insertion into NbTaHfTiZr films, which show a lower valence electron concentration and a lower configuration entropy than those of TiNbMoTaW. The vs dependence in exhibits a different course, in which first decreases from at to at and , and then starts to increase and reaches a maximum of at followed by a decline to when approaches the stoichiometric value 1. In this case, the transition of the initial high entropy alloy bcc structure to the fcc structure of high entropy nitrides proceeds slowly and leads to a wide range in which is suppressed. The analysis shows that the vs course and the enhancement in high entropy nitrides depend on the valence electron concentration of the initial high entropy alloy, as higher values accelerate the tendency to form a fcc structure and are less sensitive to the localization of otherwise mobile electrons in metallic high entropy alloys due to their bonding to N atoms. However, other parameters, such as the atomic size difference of the metallic constituents and their affinity towards nitrogen, also have to be considered.
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References (46)
- W. Meissner and H. Franz, Measurements with liquid helium IX Superconductivity of carbides and nitrides, Z. Phys. 65, 30 (1930).
- B. T. Matthias and J. K. Hulm, A search for new superconducting compounds, Phys. Rev. 87, 799 (1952).
- L. E. Toth, C. P. Wang, and G. M. Yen, Superconducting critical temperatures of non-stoichiometric transition metal carbides and nitrides, Acta Metall. 14, 1403 (1966).
- H. Rietschel, H. Winter, and W. Reichardt, Strong depression of superconductivity in VN by spin fluctuations, Phys. Rev. B 22, 4284 (1980).
- T. Shiino, S. Shiba, N. Sakai, T. Yamakura, L. Jiang, Y. Uzawa, H. Maezawa, and S. Yamamoto, Improvement of the critical temperature of superconducting NbTiN and NbN thin films using the AlN buffer layer, Supercond. Sci. Technol. 23, 045004 (2010).
- K. Makise, H. Terai, M. Takeda, Y. Uzawa, and Z. Wang, Characterization of NbTiN thin films deposited on various substrates, IEEE Transact. Appl. Superconduct. 21, 139 (2011).
- M. V. Burdastyh, S. V. Postolova, T. Proslier, S. S. Ustavshikov, A. V. Antonov, V. M. Vinokur, and A. Yu. Mironov, Superconducting phase transitions in disordered NbTiN films, Sci. Rep. 10, 1471 (2020).
- Y. Zou, Q. Jin, Y. Wang, K. Jiang, S. Wang, Y. Li, E.-J. Guo, and Z. G. Cheng, Tuning superconductivity in vanadium nitride films by adjusting strain, Phys. Rev. B 105, 224516 (2022).
- W. Spengler, R. Kaiser, A. N. Christensen, and G. Müller-Vogt, Raman scattering, superconductivity, and phonon density of states of stoichiometric and nonstoichiometric TiN, Phys. Rev. B 17, 1095 (1978).
- L. Zhang, W. Peng, L. X. You, and Z. Wang, Superconducting properties and chemical composition of NbTiN thin films with different thickness, Appl. Phys. Lett. 107, 122603 (2015).
- S.-Z. Chen, J.-W. Yang, T.-Y. Peng, Y.-C. Chu, C.-C. Yeh, I-F. Hu, S. Mhatre, Y.-J. Lu, and C.-T. Liang, Disorder-induced 2D superconductivity in a NbTiN film grown on Si by ultrahigh-vacuum magnetron sputtering, Supercond. Sci. Technol. 35, 064003 (2022).
- L. Zeng, J. Wang, H. Liu, L. Li, J. Qin, Y. Li, R. Chen, J. Song, Y. Hou, and H. Luo, Ambient-pressure superconductivity onset at 10 K and robust under high pressure in medium-entropy nitride, Adv. Sci. 12, e06089 (2025).
- S. Das, V. Drozd, A. Durygin, M. S. I. Sozal, W. Li, X. Bai, Y. Ding, Y. Guan, Z. Mao, M. Cinibulk, and Z. Cheng, Reactive flash sintering and characterization of bulk high entropy nitrides, J. Eur. Ceram. Soc. 45, 117157 (2025).
- I. Ohkubo, Z. Hou, J. N. Lee, T. Aizawa, M. Lippmaa, T. Chikyow, K. Tsuda, and T. Mori, Realization of closed-loop optimization of epitaxial titanium nitride thin-film growth via machine learning, Mater. Today Phys. 16, 100296 (2021).
- N. Cucciniello, D. Lee, H. Y. Feng, Z. Yang, H. Zeng, N. Patibandla, M. Zhu, and Q. Jia, Superconducting niobium nitride: A perspective from processing, microstructure, and superconducting property for single photon detectors, J. Phys. Cond. Matter. 34, 374003 (2022).
- S. Miyajima, T. Yamashita, M. Tanaka, N. Takeuchi, K. Inomata, and H. Terai, Fabrication process for monolithic integration of a nitride superconductor-based superconducting qubit with a single flux quantum control circuit, IEEE Trans. Appl. Supercond. 33, 1 (2023).
- G. Pristáš, G. C. Gruber, M. Orendáč, J. Bačkai, J. Kačmarčík, F. Košuth, S. Gabáni, P. Szabó, C. Mitterer, and K. Flachbart, Multiple transition temperature enhancement in superconducting TiNbMoTaW high entropy alloy films through tailored N incorporation, Acta Mater. 262, 119428 (2024).
- D. B. Miracle and O. N. Senkov, A critical review of high entropy alloys and related concepts, Acta Mater. 122, 448 (2017).
- E. Lewin, Multi-component and high-entropy nitride coatings - A promising field in need of a novel approach, J. Appl. Phys. 127, 160901 (2020).
- F. Chen, X. Bai, Y. Wang, T. Dong, J. Shi, Y. Zhang, X. Sun, Z. Wei, M. Qin, J. Yuan, Q. Chen, X. Wang, Xu Wang, B. Zhu, R. Huang, K. Jiang, W. Zhou, N. Wang, J. Hu, Y. Li, K. Jin, and Z. Zhao, Emergence of superconducting dome in films via variation of nitrogen concentration, Sci. Bull. 68, 674 (2023).
- R. Shu, X. Zhang, F. Tasnádi, W. Olovsson, S. G. Rao, G. Greczynski, A. le Febvrier, M. Magnuson, and P. Eklund, Stoichiometry effects on the chemical ordering and superconducting properties in refractory high entropy nitrides, Ann. Phys. 536, 2300470 (2023).
- M. Tinkham, The BCS theory, in Introduction to Superconductivity (Dover, Mineola, New York, 2004), Chap. 3.
- L. Sun and R. J. Cava, High-entropy alloy superconductors: Status, opportunities, and challenges, Phys. Rev. Mat. 3, 090301 (2019).
- J. Kitagawa, S. Hamamoto, and N. Ishizu, Cutting edge of high-entropy alloy superconductors from the perspective of materials research, Metals 10, 1078 (2020).
- Y. He, K. Maa, J. You, Md. S. A. Hossain, M. Nadeem, and X. Wang, High entropy superconductors, Phys. Rep. 1144, 1 (2025).
- G. Pristáš, J. Bačkai, M. Orendáč, S. Gabáni, F. Košuth, M. Kuzmiak, P. Szabó, E. Gažo, R. Franz, S. Hirn, G. C. Gruber, C. Mitterer, S. Vorobiov, and K. Flachbart, Superconductivity in medium- and high-entropy alloy thin films: Impact of thickness and external pressure, Phys. Rev. B 107, 024505 (2023).
- T. R. Kirkpatrick and D. Belitz, Suppression of superconductivity by disorder, Phys. Rev. Lett. 68, 3232 (1992).
- S. Guo, C. Ng, J. Lu, and C. T. Liu, Effect of valence electron concentration on stability of fcc or bcc phase in high entropy alloys, J. Appl. Phys. 109, 103505 (2011).
- R. Chen, G. Qin, H. Zheng, L. Wang, Y. Su, Y. L. Chiu, H. Ding, J. Guo, and H. Fu, Composition design of high entropy alloys using the valence electron concentration to balance strength and ductility, Acta Mater. 144, 129 (2018).
- S. Yang, G. Liu, and Y. Zhong, Revisit the VEC criterion in high entropy alloys with high-throughput ab initio calculations: A case study with Al-Co-Cr-Fe-Ni system, J. Alloys Comp. 916, 165477 (2022).
- B. T. Matthias, Empirical relation between superconductivity and the number of valence electrons per atom, Phys. Rev. 97, 74 (1955).
- L. Zeng, X. Hu, Y. Zhou, Y. Liu, M. Boswell, W. Xie, K. Li, L. Li, P. Yu, C. Zhang, W.-M. Guo, D.-X. Yao, and H. Luo, Superconductivity and non-trivial band topology in high-entropy carbonitride , Innov. Mater. 1, 100042 (2023).
- X. Lu, H. Li, J. Liang, D. Huo, C. Liu, M. Hu, and Y. Yang, A review of high-entropy nitrides: Preparation methods, properties, and applications, Mater. Today Commun. 47, 113092 (2025).
- N. R. Werthamer, E. Helfand, and P. C. Hohenberg, Temperature and purity dependence of the superconducting critical field, . III. Electron spin and spin-orbit effects, Phys. Rev. 147, 295 (1966).
- K.-Y. Ma, K. Gornicka, R. Lefevre, Y. Yang, H. M. Rønnow, H. O. Jeschke, T. Klimczuk, and F. O. von Rohr, Superconductivity with high upper critical field in the cubic centrosymmetric η-carbide , ACS Mater. Au 1, 55 (2021).
- F. N. Womack, D. P. Young, D. A. Browne, G. Catelani, J. Jiang, E. I. Meletis, and P. W. Adams, Extreme high-field superconductivity in thin Re films, Phys. Rev. B 103, 024504 (2021).
- A. Friedrich, B. Winkler, E. A. Juarez-Arellano, and L. Bayarjargal, Synthesis of binary transition metal nitrides, carbides and borides from the elements in the laser-heated diamond anvil cell and their structure-property relations, Materials 4, 1648 (2011).
- J. Häglund, A. Fernández Guillermet, G. Grimvall, and M. Körling, Theory of bonding in transition-metal carbides and nitrides, Phys. Rev. B 48, 11685 (1993).
- S. Wang, X. Yu, Z. Lin, R. Zhang, D. He, J. Qin, J. Zhu, J. Han, L. Wang, H. Mao, J. Zhang, and Y. Zhao, Synthesis, crystal structure, and elastic properties of novel tungsten nitrides, Chem. Mater. 24, 3023 (2012).
- S. Guo, Q. Hu, C. Ng, and C. T. Liu, More than entropy in high-entropy alloys: Forming solid solutions or amorphous phase, Intermetallics 41, 96 (2013).
- S. A. Kube, S. Sohn, D. Uhl, A. Datye, A. Mehta, and J. Schroers, Phase selection motifs in high entropy alloys revealed through combinatorial methods: Large atomic size difference favors BCC over FCC, Acta Mater. 166, 677 (2019).
- Y. Zhang, Y. J. Zhou, J. P. Lin, G. L. Chen, and P. K. Liaw, Solid-solution phase formation rules for multi-component alloys, Adv. Eng. Mater. 10, 534 (2008).
- K. Górnicka, X. Gui, J. R. Chamorro, T. M. McQueen, R. J. Cava, T. Klimczuk, and M. J. Winiarski, Superconductivity – electron count relationship in Heusler phases - the case of , Chem. Mater. 36, 1870 (2024).
- Y. Mizuguchi, H. Usui, R. Kurita, K. Takae, M. R. Kasem, R. Matsumoto, K. Yamane, Y. Takano, Y. Nakahira, A. Yamashita, Y. Goto, A. Miura, and C. Moriyoshi, Glassy atomic vibrations and blurry electronic structures created by local structural disorders in high-entropy metal telluride superconductors, Mater. Today Phys. 32, 101019 (2023).
- K. Jasiewicz, S. Gutowska, and J. Tobola, Electron-Phonon Coupling Calculations for bcc HEA Superconductors, in High-Entropy Alloy Superconductors: Exotic Properties, Applications and Materials Design, Springer Series in Solid-State Sciences Vol. 202, edited by J. Kitagawa and Y. Mizugichi (Springer Nature, Singapore, 2024), p. 103.
- P. N. Ferreira, R. Lucrezi, I. Guilhon, M. Marques, L. K. Teles, C. Heil, and L. T. F. Eleno, Ab initio modeling of superconducting alloys, Mater. Today Phys. 48, 101547 (2024).