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

Charge-transfer properties and electron dynamics in ferromagnetic CoS2

Mahmoud Abdel-Hafiez1,2,3, Fredrik O. L. Johansson4,5,*, Anwesha Chakraborty6, Martin Pavelka7, Anirudha Ghosh8, D. A. Chareev9,10, A. N. Vasiliev11,12, Alexander Edström13,14,15, Anna Delin13,14,15 et al.

Olle Eriksson7,16, Debjani Karmakar6,7,17, and Dibya Phuyal15,†

  • *Present address: Department of Physics, Uppsala University, Box 516, SE-75121 Uppsala, Sweden.
  • †Contact author: dibya@kth.se

Phys. Rev. B 112, 165115 – Published 14 October, 2025

DOI: https://doi.org/10.1103/vg4c-h785

Abstract

We investigated the element-specific electronic structure and charge-carrier dynamics of a single-crystal ferromagnet CoS2 with complementary x-ray spectroscopy techniques. Hard x-ray photoemission (HAXPES) is used to provide crucial information on the bulk electronic structure and chemical bonding in CoS2 that is compared against the isoelectronic paramagnet CoSe2. The Co 1s core-level line shows several satellite features for CoS2, showing explicit charge-transfer processes and local screening of the core hole by S ligands, whereas no such features are observed in CoSe2. The satellite structures indicate the electronic configuration of divalent Co2+ as a combination of d8Ḻ and d9Ḻ2 in addition to the nominal ionic d7 state, where Ḻ represents an S 3p hole. We employ resonant Auger spectroscopy across the S K-edge for CoS2 to obtain electron delocalization times to adjacent Co atomic sites. The fast carrier dynamics are attributed to strongly screened Coulomb interactions and hence a facile carrier delocalization. The strong hybridization formed between the Co 3d and S 3p states with pronounced charge-transfer character reflects a self-doped system with a finite density n of holes at the sulfur site (Ḻn), in line with recent models that indicate a negative charge-transfer energy for CoS2. In addition to HAXPES data, we also report on experimental and theoretical L-edge x-ray absorption and x-ray magnetic circular dichroism data for CoS2 that demonstrate multiconfiguration effects in the excitation process. To enable a direct comparison of the experimental spectra, we used density functional theory calculations to obtain the projected density of states to describe the ground-state electronic structure. The existence of fast carrier dynamics and strong charge-transfer properties, demonstrated in this study, highlights the unique nature of CoS2 with a wide potential in topological spintronics applications and integration in energy-related device platforms.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (62)

  1. V. N. Antonov, O. V. Andryushchenko, A. P. Shpak, A. N. Yaresko, and O. Jepsen, Electronic structure, optical spectra, and x-ray magnetic circular dichroism in CoS2, Phys. Rev. B 78, 094409 (2008).
  2. A. Z. Laila, T. L. Nguyen, R. Furui, A. Shelke, F.-H. Chang, H.-J. Lin, C.-T. Chen, S. Hamamoto, A. Fujimori, T. Mizokawa, A. Chainani, and A. Yamamoto, Comparative study of a high-entropy metal disulfide and its parent compounds using x-ray absorption spectroscopy, Phys. Rev. B 109, 195129 (2024).
  3. K. Fujinuma, D. Takegami, T. Higo, A. Melendez-Sans, G. Poelchen, M. Yoshimura, K.-D. Tsuei, S. Nakatsuji, L. H. Tjeng, and T. Mizokawa, Bulk Mott gap and S3s/3p spectral distribution in pyrite-type NiS2 revealed by hard x-ray photoemission spectroscopy, Phys. Rev. B 110, 125136 (2024).
  4. D. Wang, X. Chen, and B. Sanyal, Unraveling complex magnetism in two-dimensional FeS2, Phys. Rev. B 104, 245410 (2021).
  5. K. Fujinuma, D. Takegami, A. Melendez-Sans, M. Yoshimura, K.-D. Tsuei, R. Higashinaka, T. D. Matsuda, Y. Aoki, M. Hedo, Y. Ōnuki, L. H. Tjeng, and T. Mizokawa, Effect of S 3p and Se 4p holes on charge fluctuations in pyrite-type CuS2 and CuSe2 revealed by hard x-ray photoemission spectroscopy, Phys. Rev. B 111, 115147 (2025).
  6. S. K. Kwon, S. J. Youn, and B. I. Min, Itinerant ferromagnetism in half-metallic CoS2, Phys. Rev. B 62, 357 (2000).
  7. A. Teruya, F. Suzuki, D. Aoki, F. Honda, A. Nakamura, M. Nakashima, Y. Amako, H. Harima, M. Hedo, T. Nakama, and Y. Ōnuki, Large cyclotron mass and large ordered moment in ferromagnet CoS2 compared with paramagnet CoSe2, J. Phys. Soc. Jpn. 85, 064716 (2016).
  8. A. Teruya, F. Suzuki, D. Aoki, F. Honda, A. Nakamura, M. Nakashima, Y. Amako, H. Harima, K. Uchima, M. Hedo, T. Nakama, and Y. Ōnuki, Fermi surface and magnetic properties in ferromagnet CoS2 and paramagnet CoSe2 with the pyrite-type cubic structure, J. Phys.: Conf. Ser. 807, 012001 (2017).
  9. P. J. Brown, K.-U. Neumann, A. Simon, F. Ueno, and K. R. A. Ziebeck, Magnetization distribution in CoS2; Is it a half metallic ferromagnet? J. Phys.: Condens. Matter 17, 1583 (2005).
  10. N. B. M. Schröter, I. Robredo, S. Klemenz, R. J. Kirby, J. A. Krieger, D. Pei, T. Yu, S. Stolz, T. Schmitt, P. Dudin, T. K. Kim, C. Cacho, A. Schnyder, A. Bergara, V. N. Strocov, F. de Juan, M. G. Vergniory, and L. M. Schoop, Weyl fermions, Fermi arcs, and minority-spin carriers in ferromagnetic CoS2, Sci. Adv. 6, eabd5000 (2020).
  11. I. Robredo, N. B. M. Schröter, A. Reyes-Serrato, A. Bergara, F. de Juan, L. M. Schoop, and M. G. Vergniory, Theoretical study of topological properties of ferromagnetic pyrite CoS2, J. Phys. D 55, 304004 (2022).
  12. Y. Xiao, S. H. Lee, and Y. Sun, The application of metal sulfides in sodium ion batteries, Adv. Energy Mater. 7, 1601329 (2017).
  13. S. Y. S. Jaberi, A. Ghaffarinejad, Z. Khajehsaeidi, and A. Sadeghi, The synthesis, properties, and potential applications of CoS2 as a transition metal dichalcogenide (TMD), Int. J. Hydrogen Energy 48, 15831 (2023).
  14. X. Zheng, X. Han, Y. Cao, Y. Zhang, D. Nordlund, J. Wang, S. Chou, H. Liu, L. Li, C. Zhong, Y. Deng, and W. Hu, Identifying dense NiSe2/CoSe2 heterointerfaces coupled with surface high-valence bimetallic sites for synergistically enhanced oxygen electrocatalysis, Adv. Mater. 32, 2000607 (2020).
  15. Y. Dou, C.-T. He, L. Zhang, H. Yin, M. Al-Mamun, J. Ma, and H. Zhao, Approaching the activity limit of CoSe2 for oxygen evolution via Fe doping and Co vacancy, Nat. Commun. 11, 1664 (2020).
  16. N. Wu, Y. B. Losovyj, D. Wisbey, K. Belashchenko, M. Manno, L. Wang, C. Leighton, and P. A. Dowben, The electronic band structure of CoS2, J. Phys.: Condens. Matter 19, 156224 (2007).
  17. T. Shishidou, A. J. Freeman, and R. Asahi, Effect of GGA on the half-metallicity of the itinerant ferromagnet CoS2, Phys. Rev. B 64, 180401(R) (2001).
  18. T. Takahashi, Y. Naitoh, T. Sato, T. Kamiyama, K. Yamada, H. Hiraka, Y. Endoh, M. Usuda, and N. Hamada, Para- to ferromagnetic phase transition of CoS2 studied by high-resolution photoemission spectroscopy, Phys. Rev. B 63, 094415 (2001).
  19. A. E. Bocquet, K. Mamiya, T. Mizokawa, A. Fujimori, T. Miyadai, H. Takahashi, M. Môri, and S. Suga, Electronic structure of 3d transition metal pyrites MS2 (M=Fe, Co or Ni) by analysis of the M 2p core-level photoemission spectra, J. Phys.: Condens. Matter 8, 2389 (1996).
  20. A. E. Bocquet, T. Mizokawa, T. Saitoh, H. Namatame, and A. Fujimori, Electronic structure of 3d -transition-metal compounds by analysis of the 2p core-level photoemission spectra, Phys. Rev. B 46, 3771 (1992).
  21. A. Fujimori, K. Mamiya, T. Mizokawa, T. Miyadai, T. Sekiguchi, H. Takahashi, N. Môri, and S. Suga, Resonant photoemission study of pyrite-type NiS2, CoS2, and FeS2, Phys. Rev. B 54, 16329 (1996).
  22. A. Hariki, T. Uozumi, and J. Kuneš, LDA+DMFT Approach to core-level spectroscopy: Application to 3d transition metal compounds, Phys. Rev. B 96, 045111 (2017).
  23. D. Phuyal, S. Mukherjee, S. K. Panda, G. J. Man, K. Simonov, L. Simonelli, S. M. Butorin, H. Rensmo, and O. Karis, Nonlocal interactions in the double perovskite Sr2FeMoO6 from core-level x-ray spectroscopy, J. Phys. Chem. C 125, 11249 (2021).
  24. P. A. Brühwiler, O. Karis, and N. Mårtensson, Charge-transfer dynamics studied using resonant core spectroscopies, Rev. Mod. Phys. 74, 703 (2002).
  25. A. Föhlisch, P. Feulner, F. Hennies, A. Fink, D. Menzel, D. Sanchez-Portal, P. M. Echenique, and W. Wurth, Direct observation of electron dynamics in the attosecond domain, Nature (London) 436, 373 (2005).
  26. M. N. Piancastelli, G. Goldsztejn, T. Marchenko, R. Guillemin, R. K. Kushawaha, L. Journel, S. Carniato, J.-P. Rueff, D. Céolin, and M. Simon, Core-hole-clock spectroscopies in the tender x-ray domain, J. Phys. B 47, 124031 (2014).
  27. F. O. L. Johansson, U. B. Cappel, M. Fondell, Y. Han, M. Gorgoi, K. Leifer, and A. Lindblad, Tailoring ultra-fast charge transfer in MoS2, Phys. Chem. Chem. Phys. 22, 10335 (2020).
  28. F. O. L. Johansson, X. Chen, O. Eriksson, B. Sanyal, and A. Lindblad, Interlayer charge transfer in tin disulphide: Orbital anisotropy and temporal aspects, Phys. Rev. B 102, 035165 (2020).
  29. C. N. Eads, D. Bandak, M. R. Neupane, D. Nordlund, and O. L. A. Monti, Anisotropic attosecond charge carrier dynamics and layer decoupling in quasi-2D layered SnS2, Nat. Commun. 8, 1369 (2017).
  30. Y. Li, T. Polakovic, J. Curtis, S. L. Shumlas, S. Chatterjee, S. Intikhab, D. A. Chareev, O. S. Volkova, A. N. Vasiliev, G. Karapetrov, and J. Snyder, Tuning the activity/stability balance of anion doped CoSxSe2−x dichalcogenides, J. Catal. 366, 50 (2018).
  31. A. Barla, J. Nicolás, D. Cocco, S. M. Valvidares, J. Herrero-Martín, P. Gargiani, J. Moldes, C. Ruget, E. Pellegrin, and S. Ferrer, Design and performance of BOREAS, the beamline for resonant x-ray absorption and scattering experiments at the ALBA synchrotron light source, J. Synch. Radiat. 23, 1507 (2016).
  32. F. Schaefers, M. Mertin, and M. Gorgoi, KMC-1: A high resolution and high flux soft x-ray beamline at BESSY, Rev. Sci. Instrum. 78, 123102 (2007).
  33. M. Gorgoi, S. Svensson, F. Schäfers, G. Öhrwall, M. Mertin, P. Bressler, O. Karis, H. Siegbahn, A. Sandell, H. Rensmo, W. Doherty, C. Jung, W. Braun, and W. Eberhardt, The high kinetic energy photoelectron spectroscopy facility at BESSY progress and first results, Nucl. Instrum. Methods Phys. Res. Sect. A 601, 48 (2009).
  34. G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999).
  35. G. Kresse and J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci. 6, 15 (1996).
  36. G. Kresse and J. Hafner, Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium, Phys. Rev. B 49, 14251 (1994).
  37. G. Kresse and J. Hafner, Ab initio molecular dynamics for liquid metals, Phys. Rev. B 47, 558 (1993).
  38. J. M. Wills, O. Eriksson, P. Andersson, A. Delin, O. Grechnyev, and M. Alouani, Full-Potential Electronic Structure Method (Springer, Berlin, 2010), Vol. 167.
  39. A. Liechtenstein, M. Katsnelson, V. Antropov, and V. Gubanov, Local spin density functional approach to the theory of exchange interactions in ferromagnetic metals and alloys, J. Magn. Magn. Mater. 67, 65 (1987).
  40. M. N. Hasan, R. Bharati, J. Hellsvik, A. Delin, S. K. Pal, A. Bergman, S. Sharma, I. D. Marco, M. Pereiro, P. Thunström, P. M. Oppeneer, O. Eriksson, and D. Karmakar, Magnetism in AV3Sb5 (A=Cs,Rb,andK): Origin and consequences for the strongly correlated phases, Phys. Rev. Lett. 131, 196702 (2023).
  41. F. Sorgenfrei, M. Alouani, J. Schött, H. J. Jönsson, O. Eriksson, and P. Thunström, Theory of x-ray absorption spectroscopy for ferrites, Phys. Rev. B 109, 115126 (2024).
  42. M. N. Hasan, F. Sorgenfrei, N. Pan, D. Phuyal, M. Abdel-Hafiez, S. K. Pal, A. Delin, P. Thunström, D. D. Sarma, O. Eriksson, and D. Karmakar, Re-dichalcogenides: Resolving conflicts of their structure–property relationship, Adv. Phys. Res. 1, 2200010 (2022).
  43. J. Lüder, J. Schött, B. Brena, M. W. Haverkort, P. Thunström, O. Eriksson, B. Sanyal, I. D. Marco, and Y. O. Kvashnin, Theory of l-edge spectroscopy of strongly correlated systems, Phys. Rev. B 96, 245131 (2017).
  44. M. Otero-Leal, F. Rivadulla, M. García-Hernández, A. Piñeiro, V. Pardo, D. Baldomir, and J. Rivas, Effect of spin fluctuations on the thermodynamic and transport properties of the itinerant ferromagnet CoS2, Phys. Rev. B 78, 180415(R) (2008).
  45. E. Mijit, K. Chen, F. Choueikani, A. Di Cicco, and F. Baudelet, Collapse of itinerant ferromagnetism in CoS2 under pressure: An x-ray absorption spectroscopy study, Phys. Rev. B 98, 184423 (2018).
  46. F. M. D. Groot and A. Kotani, Core Level Spectroscopy of Solids (CRC, Boca Raton, FL, 2008).
  47. P. Miedema, F. Borgatti, F. Offi, G. Panaccione, and F. de Groot, Iron 1s x-ray photoemission of Fe2O3, J. Electron Spectrosc. Relat. Phenom. 203, 8 (2015).
  48. M. Ghiasi, A. Hariki, M. Winder, J. Kuneš, A. Regoutz, T. L. Lee, Y. Hu, J. P. Rueff, and F. M. D. Groot, Charge-transfer effect in hard x-ray 1s and 2p photoemission spectra: LDA+DMFT And cluster-model analysis, Phys. Rev. B 100, 075146 (2019).
  49. T. Yamaguchi, K. Higashi, A. Regoutz, Y. Takahashi, M. Lazemi, Q. Che, F. M. F. de Groot, and A. Hariki, Atomic multiplet and charge transfer screening effects in 1s and 2p core-level x-ray photoelectron spectra of early 3d transition-metal oxides, Phys. Rev. B 109, 205143 (2024).
  50. S. Tanuma, C. J. Powell, and D. R. Penn, Calculations of electron inelastic mean free paths (IMFPS). IV. Evaluation of calculated IMFPs and of the predictive IMFP formula TPP-2 for electron energies between 50 and 2000 eV, Surf. Interface Anal. 20, 77 (1993).
  51. H. Sato, F. Nagasaki, Y. Kani, S. Senba, Y. Ueda, A. Kimura, and M. Taniguchi, Electronic structure of CoSe2 studied by photoemission spectroscopy using synchrotron radiation, Solid State Commun. 118, 563 (2001).
  52. H. Fujiwara, K. Terashima, J. Otsuki, N. Takemori, H. O. Jeschke, T. Wakita, Y. Yano, W. Hosoda, N. Kataoka, A. Teruya, M. Kakihana, M. Hedo, T. Nakama, Y. Ōnuki, K. Yaji, A. Harasawa, K. Kuroda, S. Shin, K. Horiba, H. Kumigashira et al., Anomalously large spin-dependent electron correlation in the nearly half-metallic ferromagnet CoS2, Phys. Rev. B 106, 085114 (2022).
  53. See Supplemental Material at http://link.aps.org/supplemental/10.1103/vg4c-h785 for additional figures related to the spherical symmetry of CoS2 and CoSe2 from XMLD and HAXPES experiments.
  54. E. Pavarini, E. Koch, J. van den Brink, and G. Sawatzky, Quantum Materials: Experiments and Theory (Verlag des Forschungszentrum, Jülich, 2016), pp. 18–24.
  55. F. O. L. Johansson, M. Ivanović, S. Svanström, U. B. Cappel, H. Peisert, T. Chassé, and A. Lindblad, Femtosecond and attosecond electron-transfer dynamics in PCPDTBT:PCBM Bulk heterojunctions, J. Phys. Chem. C 122, 12605 (2018).
  56. R. Püttner, D. Céolin, R. Guillemin, R. K. Kushawaha, T. Marchenko, L. Journel, M. N. Piancastelli, and M. Simon, Detailed analysis of shake structures in the KLL auger spectrum of H2S, Phys. Rev. A 93, 042501 (2016).
  57. J. Campbell and T. Papp, Width of the atomic K−N7 levels, At. Data Nucl. Data Tables 77, 1 (2001).
  58. A. Mukherjee and A. Subedi, Minority-spin conducting states in Fe substituted pyrite CoS2, J. Phys.: Condens. Matter 36, 025501 (2024).
  59. W. Folkerts, G. A. Sawatzky, C. Haas, R. A. de Groot, and F. U. Hillebrecht, Electronic structure of some 3d transition-metal pyrites, J. Phys. C 20, 4135 (1987).
  60. R. J. Green and G. A. Sawatzky, Negative charge transfer energy in correlated compounds, J. Phys. Soc. Jpn. 93, 121007 (2024).
  61. M. Imada, A. Fujimori, and Y. Tokura, Metal-insulator transitions, Rev. Mod. Phys. 70, 1039 (1998).
  62. J. Zaanen, G. A. Sawatzky, and J. W. Allen, Band gaps and electronic structure of transition-metal compounds, Phys. Rev. Lett. 55, 418 (1985).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation