Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Spin Hall effect in the high-resistivity high-entropy alloy Al-Cr-Mo-W

Jyoti Yadav1,2, Felix Janus2, Tiago de Oliveira Schneider2, Shalini Sharma3, Daniel Schröter2, and Markus Meinert2,*

  • 1University of Lille, Institute of Electronics, Microelectronics and Nanotechnology, 59000 Lille, France
  • 2New Materials Electronics Group, Department of Electrical Engineering and Information Technology, Technical University of Darmstadt, Merckstraße 25, 64283 Darmstadt, Germany
  • 3Advanced Thin Film Technology Group, Institute of Materials Science, Peter-Grünberg-Straße 2, 64287 Darmstadt, Germany

  • *Contact author: markus.meinert@tu-darmstadt.de

Phys. Rev. Applied 25, 064050 – Published 15 June, 2026

DOI: https://doi.org/10.1103/s16p-tvd7

Abstract

We study thin films of the high-entropy alloy system Alx(Cr-Mo-W)1−x, grown on Ta seed layers by magnetron cosputtering. Between x=0.2 and x=0.6, a resistivity larger than 100μΩcm is achieved, with a peak of 180μΩcm at x=0.5. Around the stoichiometric composition Al-Cr-Mo-W, the alloy forms a bcc solid solution. The harmonic Hall method was used to characterize the spin Hall angle of the alloy series, where a maximum spin Hall angle of θ=−0.12±0.01 is observed for x=0.25. The implied spin Hall conductivity is σSH≈−72000ℏ/(2e) S/m. The experimental results show excellent agreement with density-functional-theory calculations, which show similar trends and values. The results demonstrate that high-entropy alloys with a main-group-element component can form a simple crystal structure and show high resistivity. This suggests that a whole new class of materials for spin Hall device engineering is available with simple methods.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (33)

  1. T. Jungwirth, J. Wunderlich, and K. Olejník, Spin Hall effect devices, Nat. Mater. 11, 382 (2012).
  2. A. Hoffmann, Spin Hall effects in metals, IEEE Trans. Magn. 49, 5172 (2013).
  3. D. Ködderitzsch, K. Chadova, and H. Ebert, Linear response Kubo-Bastin formalism with application to the anomalous and spin Hall effects: A first-principles approach, Phys. Rev. B 92, 184415 (2015).
  4. E. Sagasta, Y. Omori, M. Isasa, M. Gradhand, L. E. Hueso, Y. Niimi, Y. Otani, and F. Casanova, Tuning the spin Hall effect of Pt from the moderately dirty to the superclean regime, Phys. Rev. B 94, 060412 (2016).
  5. J. Qiao, J. Zhou, Z. Yuan, and W. Zhao, Calculation of intrinsic spin Hall conductivity by Wannier interpolation, Phys. Rev. B 98, 214402 (2018).
  6. O. L. W. McHugh, G. Wen Fong, G. Martin, and D. A. Stewart, Impact of impurities on the spin Hall conductivity in β-W, Phys. Rev. Mater. 4, 094404 (2020).
  7. M.-H. Nguyen, D. C. Ralph, and R. A. Buhrman, Spin torque study of the spin Hall conductivity and spin diffusion length in platinum thin films with varying resistivity, Phys. Rev. Lett. 116, 126601 (2016).
  8. S. Dutta, K. Sankaran, K. Moors, G. Pourtois, S. Van Elshocht, J. Bömmels, W. Vandervorst, Z. Tőkei, and C. Adelmann, Thickness dependence of the resistivity of platinum-group metal thin films, J. Appl. Phys. 122, 025107 (2017).
  9. Q. Hao, W. Chen, and G. Xiao, Beta (β) tungsten thin films: Structure, electron transport, and giant spin Hall effect, Appl. Phys. Lett. 106, 182403 (2015).
  10. J.-Y. Kim, D.-S. Han, M. Vafaee, S. Jaiswal, K. Lee, G. Jakob, and M. Kläui, Enhancement of spin Hall conductivity in W-Ta alloy, Appl. Phys. Lett. 117, 142403 (2020).
  11. K.-U. Demasius, T. Phung, W. Zhang, B. P. Hughes, S.-H. Yang, A. Kellock, W. Han, A. Pushp, and S. S. Parkin, Enhanced spin-orbit torques by oxygen incorporation in tungsten films, Nat. Commun. 7, 10644 (2016).
  12. L. Neumann, D. Meier, J. Schmalhorst, K. Rott, G. Reiss, and M. Meinert, Temperature dependence of the spin Hall angle and switching current in the nc-W (O)/CoFeB/MgO system with perpendicular magnetic anisotropy, Appl. Phys. Lett. 109, 142405 (2016).
  13. K. K. Vudya Sethu, S. Ghosh, S. Couet, J. Swerts, B. Sorée, J. De Boeck, G. S. Kar, and K. Garello, Optimization of tungsten β-phase window for spin-orbit-torque magnetic random-access memory, Phys. Rev. Appl. 16, 064009 (2021).
  14. J. E. Gómez and N. Haberkorn, Impact of nitrogen impurities on the tungsten properties for application in spintronic, Appl. Phys. A: Mater. Sci. Process. 129, 409 (2023).
  15. X. Sui, C. Wang, J. Kim, J. Wang, S. H. Rhim, W. Duan, and N. Kioussis, Giant enhancement of the intrinsic spin Hall conductivity in β-tungsten via substitutional doping, Phys. Rev. B 96, 241105 (2017).
  16. F. Janus, J. Yadav, N. S. Beermann, W. Zhang, H. A. Hafez, D. Turchinovich, S. Preu, and M. Meinert, Emergent spin Hall conductivity in tantalum-rhenium alloys, Phys. Rev. B 111, 174411 (2025).
  17. M. Obstbaum, M. Decker, A. K. Greitner, M. Haertinger, T. N. G. Meier, M. Kronseder, K. Chadova, S. Wimmer, D. Ködderitzsch, H. Ebert, and C. H. Back, Tuning spin Hall angles by alloying, Phys. Rev. Lett. 117, 167204 (2016).
  18. M. Meinert, B. Gliniors, O. Gueckstock, T. S. Seifert, L. Liensberger, M. Weiler, S. Wimmer, H. Ebert, and T. Kampfrath, High-throughput techniques for measuring the spin Hall effect, Phys. Rev. Appl. 14, 064011 (2020).
  19. O. L. W. McHugh, M. Gradhand, and D. A. Stewart, Optimizing the spin Hall effect in Pt-based binary alloys, Phys. Rev. Mater. 8, 015003 (2024).
  20. F. Janus, N. S. Beermann, A. Khan, J. Yadav, R. Rajeev Lekha, W. Zhang, H. A. Hafez, D. Turchinovich, and M. Meinert, Enhanced THz emission from spintronic emitters with Pt-Al alloys, Appl. Phys. Lett. 127, 152406 (2025).
  21. D. B. Miracle and O. N. Senkov, A critical review of high entropy alloys and related concepts, Acta Mater. 122, 448 (2017).
  22. M. Rittiruam, J. Noppakhun, S. Setasuban, N. Aumnongpho, A. Sriwattana, S. Boonchuay, T.n Saelee, C. Wangphon, A. Ektarawong, P. Chammingkwan, T. Taniike, S. Praserthdam, and P. Praserthdam, High-throughput materials screening algorithm based on first-principles density functional theory and artificial neural network for high-entropy alloys, Sci. Rep. 12, 16653 (2022).
  23. T. Y. Chen, T. C. Chuang, S. Y. Huang, H. W. Yen, and C. F. Pai, Spin-orbit torque from a magnetic heterostructure of high-entropy alloy, Phys. Rev. Appl. 8, 044005 (2017).
  24. K. Fritz, S. Wimmer, H. Ebert, and M. Meinert, Large spin Hall effect in an amorphous binary alloy, Phys. Rev. B 98, 094433 (2018).
  25. T. Kubota, K. Z. Suzuki, Y. Hirayama, S. Takahashi, and K. Takanashi, Large spin Hall effect in high-entropy alloy/CoFeB bilayers, Phys. Rev. Mater. 9, 084408 (2025).
  26. P. Wang, A. Migliorini, Y.-C. Li, H. Deniz, I. Kostanovski, J.-C. Jeon, and S. S. P. Parkin, High entropy alloy thin films as efficient spin-orbit torque sources for spintronic memories, Adv. Mater. 37, 2416820 (2025).
  27. T. Fukushima, H. Akai, T. Chikyow, and H. Kino, Automatic exhaustive calculations of large material space by Korringa-Kohn-Rostoker coherent potential approximation method applied to equiatomic quaternary high entropy alloys, Phys. Rev. Mater. 6, 023802 (2022).
  28. D. Go, H.-W. Lee, P. M. Oppeneer, S. Blügel, and Y. Mokrousov, First-principles calculation of orbital Hall effect by Wannier interpolation: Role of orbital dependence of the anomalous position, Phys. Rev. B 109, 174435 (2024).
  29. T. de Oliveira Schneider, S. Sharma, A. Khan, and M. Meinert, OpenFMR: An open-source broadband ferromagnetic resonance spectrometer, Rev. Sci. Instrum. 96, 033901 (2025).
  30. H. Ebert, S. Mankovsky, K. Chadova, S. Polesya, J. Minár, and D. Ködderitzsch, Calculating linear-response functions for finite temperatures on the basis of the alloy analogy model, Phys. Rev. B 91, 165132 (2015).
  31. L. Liu, C.-F. Pai, Y. Li, H. W. Tseng, D. C. Ralph, and R. A. Buhrman, Spin-torque switching with the giant spin Hall effect of tantalum, Science 336, 555 (2012).
  32. 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).
  33. A. Takeuchi and A. Inoue, Classification of bulk metallic glasses by atomic size difference, heat of mixing and period of constituent elements and its application to characterization of the main alloying element, Mater. Trans. 46, 2817 (2005).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation