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Crystal fields and the properties of the Kitaev candidate Na3Co2SbO6 probed with x-ray absorption spectroscopy

M. M. Ferreira-Carvalho1,2, S. H. Chen1, Y. C. Ku3,4, S. Rößler1, Robert Kluge5, Ryan C. Morrow5, Javier Herrero-Martín6, P. Gargiani6, C. Y. Kuo3,4 et al.

C. F. Chang1, Alexander C. Komarek1, Z. Hu1, M. W. Haverkort7, and L. H. Tjeng1

Phys. Rev. B 114, 175123 – Published 17 September, 2026

DOI: https://doi.org/10.1103/t8x5-t8bg

Abstract

We directly probe the local electronic structure and magnetic properties of Na3Co2SbO6 using x-ray absorption linear dichroism (XLD) and x-ray magnetic circular dichroism, complemented by full-multiplet cluster calculations. The Co L2,3-edge XLD spectra reveal significantly distorted CoO6 octahedra, which are quantitatively described by a low-symmetry cluster model incorporating Co-O covalency and orbital mixing. We identify a dominant trigonal crystal-field splitting of approximately −42.5meV, which drives the system away from the ideal Jeff=1/2 limit. We also demonstrate that a purely trigonal description is insufficient: small additional splittings of the egπ and egσ orbitals are essential to consistently reproduce the full set of experimental data, including the observed macroscopic in-plane magnetization anisotropy. Our results further establish Na3Co2SbO6 as a honeycomb cobaltate relevant to Kitaev quantum spin liquid physics, featuring a doubly degenerate ground state.

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References (60)

  1. H. Liu and G. Khaliullin, Pseudospin exchange interactions in d7 cobalt compounds: Possible realization of the Kitaev model, Phys. Rev. B 97, 014407 (2018).
  2. H. Liu, J. Chaloupka, and G. Khaliullin, Kitaev spin liquid in 3d transition metal compounds, Phys. Rev. Lett. 125, 047201 (2020).
  3. L. Viciu, Q. Huang, E. Morosan, H. W. Zandbergen, N. I. Greenbaum, T. McQueen, and R. J. Cava, Structure and basic magnetic properties of the honeycomb lattice compounds Na2Co2TeO6 and Na3Co2SbO6, J. Solid State Chem. 180, 1060 (2007).
  4. C. Wong, M. Avdeev, and C. D. Ling, Zig-zag magnetic ordering in honeycomb-layered Na3Co2SbO6, J. Solid State Chem. 243, 18 (2016).
  5. I. Stratan, I. L. Shukaev, T. M. Vasilchikova, A. N. Vasiliev, A. N. Korshunov, A. I. Kurbakov, V. B. Nalbandyan, and E. A. Zvereva, Synthesis, structure and magnetic properties of honeycomb-layered Li3Co2SbO6 with new data on its sodium precursor, Na3Co2SbO6, New J. Chem. 43, 13545 (2019).
  6. J.-Q. Yan, S. Okamoto, Y. Wu, Q. Zheng, H. D. Zhou, H. B. Cao, and M. A. McGuire, Magnetic order in single crystals of Na3Co2SbO6 with a honeycomb arrangement of 3d7Co2+ ions, Phys. Rev. Mater. 3, 074405 (2019).
  7. M. Songvilay, J. Robert, S. Petit, J. A. Rodriguez-Rivera, W. D. Ratcliff, F. Damay, V. Balédent, M. Jiménez-Ruiz, P. Lejay, E. Pachoud, A. Hadj-Azzem, V. Simonet, and C. Stock, Kitaev interactions in the Co honeycomb antiferromagnets Na3Co2SbO6 and Na2Co2TeO6, Phys. Rev. B 102, 224429 (2020).
  8. K. K. Bestha, M. Sahoo, N. Francini, R. Kluge, R. Morrow, A. Maljuk, S. Wurmehl, S. Luther, Y. Skourski, H. Kühne, S. Mishra, J. Geck, M. Brando, B. Büchner, L. T. Corredor, L. Janssen, and A. U. B. Wolter, Field-induced magnetic phases in the Kitaev candidate Na3Co2SbO6, Phys. Rev. B 113, L100412 (2026).
  9. C. Kim, J. Jeong, G. Lin, P. Park, T. Masuda, S. Asai, S. Itoh, H.-S. Kim, H. Zhou, J. Ma, and J.-G. Park, Antiferromagnetic Kitaev interaction in Jeff=1/2 cobalt honeycomb materials Na3Co2SbO6 and Na2Co2TeO6, J. Phys.: Condens. Matter 34, 045802 (2022).
  10. C. Kim, H.-S. Kim, and J.-G. Park, Spin-orbital entangled state and realization of Kitaev physics in 3d cobalt compounds: A progress report, J. Phys.: Condens. Matter 34, 023001 (2022).
  11. A. L. Sanders, R. A. Mole, J. Liu, A. J. Brown, D. Yu, C. D. Ling, and S. Rachel, Dominant Kitaev interactions in the honeycomb materials Na3Co2SbO6 and Na2Co2TeO6, Phys. Rev. B 106, 014413 (2022).
  12. S. M. Winter, Magnetic couplings in edge-sharing high-spin d7 compounds, J. Phys.: Mater. 5, 045003 (2022).
  13. B. Kang, M. Park, S. Song, S. Noh, D. Choe, M. Kong, M. Kim, C. Seo, E. K. Ko, G. Yi, J.-W. Yoo, S. Park, J. M. Ok, C. Sohn, Honeycomb oxide heterostructure as a candidate host for a Kitaev quantum spin liquid, Phys. Rev. B 107, 075103 (2023).
  14. E. Vavilova, T. Vasilchikova, A. Vasiliev, D. Mikhailova, V. Nalbandyan, E. Zvereva, and S. V. Streltsov, Magnetic phase diagram and possible Kitaev-like behavior of the honeycomb-lattice antimonate Na3Co2SbO6, Phys. Rev. B 107, 054411 (2023).
  15. Z. Hu, Y. Chen, Y. Cui, S. Li, C. Li, X. Xu, Y. Chen, X. Li, Y. Gu, R. Yu, R. Zhou, Y. Li, and W. Yu, Field-induced phase transitions and quantum criticality in the honeycomb antiferromagnet Na3Co2SbO6, Phys. Rev. B 109, 054411 (2024).
  16. Y. Gu, X. Li, Y. Chen, K. Iida, A. Nakao, K. Munakata, V. O. Garlea, Y. Li, G. Deng, I. A. Zaliznyak, J. M. Tranquada, and Y. Li, In-plane multi-q magnetic ground state of Na3Co2SbO6, Phys. Rev. B 109, L060410 (2024).
  17. P. Bhattacharyya, A. Basit, T. Petersen, S. Rachel, S. Nishimoto, and L. Hozoi, Relevance of on-site and intersite Coulomb interactions in the Kitaev-Heisenberg magnet Na3Co2SbO6, Phys. Rev. B 113, L161103 (2026).
  18. Z. Chen, B. Zhang, W. Zhu, L. Li, B. Liu, J. Feng, C. Xu, and H. Xiang, Strength of Kitaev interaction in Na3Co2SbO6 and Na3Ni2BiO6, Sci. China Phys. Mech. Astron. 69, 257513 (2026).
  19. S. K. Pandey and J. Feng, Spin interaction and magnetism in cobaltate Kitaev candidate materials: An ab initio and model Hamiltonian approach, Phys. Rev. B 106, 174411 (2022).
  20. X. Li, Y. Gu, Y. Chen, V. O. Garlea, K. Iida, K. Kamazawa, Y. Li, G. Deng, Q. Xiao, X. Zheng, Z. Ye, Y. Peng, I. A. Zaliznyak, J. M. Tranquada, and Y. Li, Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6, Phys. Rev. X 12, 041024 (2022).
  21. H. Fan, Y. Chen, Y. Gu, X. Li, Y. Li, and X. Lin, Phonon heat transport and anisotropic tuning of quantum fluctuations in a frustrated honeycomb magnet, Phys. Rev. B 111, 085119 (2025).
  22. N. Nguyen, A. T. Lee, A. T. Ngo, and H. Park, Impact of structural distortions on the correlated electronic structure of orbital-selective Mott insulating Na3Co2SbO6 under strain, Phys. Rev. B 112, 085157 (2025).
  23. X. Mi, X. Li, L. Zhang, Y. Gu, A. Wang, Y. Li, Y. Chai, and M. He, Precisely tracking critical spin fluctuations using the ac magnetostriction coefficient: A case study on the Kitaev spin liquid candidate Na3Co2SbO6, Phys. Rev. B 111, 014417 (2025).
  24. F. M. F. de Groot, x-ray absorption and dichroism of transition metals and their compounds, J. Electron Spectrosc. Relat. Phenom. 67, 529 (1994).
  25. A. Tanaka and T. Jo, Resonant 3d, 3p and 3s photoemission in transition metal oxides predicted at 2p threshold, J. Phys. Soc. Jpn. 63, 2788 (1994).
  26. S. I. Csiszar, M. W. Haverkort, Z. Hu, A. Tanaka, H. H. Hsieh, H.-J. Lin, C. T. Chen, T. Hibma, and L. H. Tjeng, Controlling orbital moment and spin orientation in CoO layers by strain, Phys. Rev. Lett. 95, 187205 (2005).
  27. T. Burnus, Z. Hu, M. W. Haverkort, J. C. Cezar, D. Flahaut, V. Hardy, A. Maignan, N. B. Brookes, A. Tanaka, H. H. Hsieh, H.-J. Lin, C. T. Chen, and L. H. Tjeng, Valence, spin, and orbital state of Co ions in one-dimensional Ca3Co2O6: An x-ray absorption and magnetic circular dichroism study, Phys. Rev. B 74, 245111 (2006).
  28. T. Burnus, Z. Hu, H. H. Hsieh, V. L. J. Joly, P. A. Joy, M. W. Haverkort, H. Wu, A. Tanaka, H.-J. Lin, C. T. Chen, and L. H. Tjeng, Local electronic structure and magnetic properties of LaMn0.5Co0.5O3 studied by x-ray absorption and magnetic circular dichroism spectroscopy, Phys. Rev. B 77, 125124 (2008).
  29. H.-J. Lin, Y. Y. Chin, Z. Hu, G. J. Shu, F. C. Chou, H. Ohta, K. Yoshimura, S. Hébert, A. Maignan, A. Tanaka, L. H. Tjeng, and C. T. Chen, Local orbital occupation and energy levels of Co in NaxCoO2: A soft x-ray absorption study, Phys. Rev. B 81, 115138 (2010).
  30. Y. Y. Chin, Z. Hu, H.-J. Lin, S. Agrestini, J. Weinen, C. Martin, S. Hébert, A. Maignan, A. Tanaka, J. C. Cezar, N. B. Brookes, Y.-F. Liao, K.-D. Tsuei, C. T. Chen, D. I. Khomskii, and L. H. Tjeng, Spin-orbit coupling and crystal-field distortions for a low-spin 3d5 state in BaCoO3, Phys. Rev. B 100, 205139 (2019).
  31. M. van Veenendaal, E. H. T. Poldi, L. S. I. Veiga, P. Bencok, G. Fabbris, R. Tartaglia, J. L. McChesney, J. W. Freeland, R. J. Hemley, H. Zheng, J. F. Mitchell, J.-Q. Yan, and D. Haskel, Electronic structure of Co 3d states in the Kitaev material candidate honeycomb cobaltate Na3Co2SbO6 probed with x-ray dichroism, Phys. Rev. B 107, 214443 (2023).
  32. G.-H. Kim, M. Park, S. Samanta, U. Choi, B. Kang, U. Seo, G. Ji, S. Noh, D.-Y. Cho, J.-W. Yoo, J. M. Ok, H.-S. Kim, and C. Sohn, Suppression of antiferromagnetic order by strain-enhanced frustration in honeycomb cobaltate, Sci. Adv. 10, eadn8694 (2024).
  33. A. J. Achkar, T. Z. Regier, E. J. Monkman, K. M. Shen, and D. G. Hawthorn, Determination of total x-ray absorption coefficient using non-resonant x-ray emission, Sci. Rep. 1, 182 (2011).
  34. A. J. Achkar, T. Z. Regier, H. Wadati, Y.-J. Kim, H. Zhang, and D. G. Hawthorn, Bulk sensitive x-ray absorption spectroscopy free of self-absorption effects, Phys. Rev. B 83, 081106(R) (2011).
  35. M. M. Ferreira-Carvalho, S. Rößler, C. F. Chang, Z. Hu, S. M. Valvidares, P. Gargiani, M. W. Haverkort, P. K. Mukharjee, P. Gegenwart, A. A. Tsirlin, and L. H. Tjeng, Trigonal distortion in the Kitaev candidate honeycomb magnet BaCo2(AsO4)2, Phys. Rev. B 112, 125135 (2025).
  36. M. M. Ferreira-Carvalho, S. H. Chen, Y. C. Ku, A. Jose, R. Morrow, C. Y. Kuo, C. F. Chang, Z. Hu, M. W. Haverkort, and L. H. Tjeng, Direct evidence of a near-ideal Jeff=1/2 ground state in triangular-lattice Na2BaCo(PO4)2, Phys. Rev. Mater. 10, 025004 (2026).
  37. H.-M. Tsai, H.-W. Fu, C.-Y. Kuo, L.-J. Huang, C.-S. Lee, C.-Y. Hua, K.-Y. Kao, H.-J. Lin, H.-S. Fung, S.-C. Chung, C.-F. Chang, A. Chainani, L. H. Tjeng, and C.-T. Chen, A submicron soft x-ray active grating monochromator beamline for ultra-high resolution angle-resolved photoemission spectroscopy, AIP Conf. Proc. 2054, 060047 (2019).
  38. A. Barla, J. Nicolas, D. Cocco, S. M. Valvidares, J. Herrero-Martin, 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. Synchrotron Radiat. 23, 1507 (2016).
  39. M. W. Haverkort, M. Zwierzycki, and O. K. Andersen, Multiplet ligand-field theory using Wannier orbitals, Phys. Rev. B 85, 165113 (2012).
  40. M. W. Haverkort, G. Sangiovanni, P. Hansmann, A. Toschi, Y. Lu, and S. Macke, Bands, resonances, edge singularities and excitons in core level spectroscopy investigated within the dynamical mean-field theory, Europhys. Lett. 108, 57004 (2014).
  41. Y. Lu, M. Höppner, O. Gunnarsson, and M. W. Haverkort, Efficient real-frequency solver for dynamical mean-field theory, Phys. Rev. B 90, 085102 (2014).
  42. Quanty version 0.81, https://www.quanty.org.
  43. R. D. Cowan, The Theory of Atomic Structure and Spectra (University of California Press, Berkeley, CA, 1981).
  44. A. E. Bocquet, T. Mizokawa, K. Morikawa, A. Fujimori, S. R. Barman, K. Maiti, D. D. Sarma, Y. Tokura, and M. Onoda, Electronic structure of early 3d-transition-metal oxides by analysis of the 2p core-level photoemission spectra, Phys. Rev. B 53, 1161 (1996).
  45. N. Hollmann, Z. Hu, T. Willers, L. Bohatý, P. Becker, A. Tanaka, H. H. Hsieh, H.-J. Lin, C. T. Chen, and L. H. Tjeng, Local symmetry and magnetic anisotropy in multiferroic MnWO4 and antiferromagnetic CoWO4 studied by soft x-ray absorption spectroscopy, Phys. Rev. B 82, 184429 (2010).
  46. K. Koepernik and H. Eschrig, Full-potential nonorthogonal local-orbital minimum-basis band-structure scheme, Phys. Rev. B 59, 1743 (1999).
  47. Calculations have been performed using fplo 21.00, https://www.fplo.de.
  48. J. Falke, Fplore version 0.6.1, https://github.com/mueslo/fplore.
  49. Udd = 6.5 eV, Upd = 8.2 eV, charge energy transfer Δ = 6.5 eV, SOC = 0.066 eV, ionic crystal field 10Dqion = 0.5 eV, Dtrigion = 80 meV, Meg1 = 100 meV, Meg2 = 85 meV, δ(egσ) = 20 meV, δ(egπ)− = 12 meV. Hybridization: V(egσ1) = 2.06 eV, V(egσ2) = 2.08 eV, V(egπ1) = V(egπ2) = 1.2 eV, V(a1g) = 1.115 eV (these hybridization values are subsequently scaled to 90%), Ligand crystal field = 1.388 eV, ligand Dtrigionligand = −0.23 eV, Ligand mixing = 0.17 eV. Slater integrals were reduced to 75% of their Hartree-Fock values.
  50. C. J. Ballhausen, Introduction to Ligand Field Theory, McGraw-Hill Series in Advanced Chemistry (McGraw-Hill, New York, 1962).
  51. Yu. S. Ponosov, E. V. Komleva, E. A. Pankrushina, D. Mikhailova, and S. V. Streltsov, Raman spectroscopy of Na3Co2SbO6, JETP Lett. 119, 518 (2024).
  52. S. Agrestini, C.-Y. Kuo, K. Chen, Y. Utsumi, D. Mikhailova, A. Rogalev, F. Wilhelm, T. Förster, A. Matsumoto, T. Takayama, H. Takagi, M. W. Haverkort, Z. Hu, and L. H. Tjeng, Probing the Jeff=0 ground state and the Van Vleck paramagnetism of the Ir5+ ions in layered Sr2Co0.5Ir0.5O4, Phys. Rev. B 97, 214436 (2018).
  53. E. H. T. Poldi, R. Tartaglia, G. Fabbris, N. Nguyen, H. Park, Z. Liu, M. van Veenendaal, R. Kumar, G. Jose, S. Samanta, W. Bi, Y. Xiao, D. Popov, Y. Wu, J.-W. Kim, H. Zheng, J. Yan, J. F. Mitchell, R. J. Hemley, and D. Haskel, Pressure tuning of Kitaev spin liquid candidate Na3Co2SbO6, Commun. Phys. 8, 310 (2025).
  54. M. van Veenendaal, E. H. T. Poldi, and D. Haskel, Spin-orbit coupling induced broadening of the spin crossover transition in divalent cobalt probed by Kβ x-ray emission, Phys. Rev. B 112, 155137 (2025).
  55. R. Yadav, S. Rachel, L. Hozoi, J. van den Brink, and G. Jackeli, Strain- and pressure-tuned magnetic interactions in honeycomb Kitaev materials, Phys. Rev. B 98, 121107(R), (2018).
  56. R. Li, L. Shi, Y. Gu, Y. Chen, X. Li, Q. Wu, S. Xu, D. Wu, Y. Li, F. Wang, T. Dong, and N. Wang, Field-induced spin continuum in twin-free Na3Co2SbO6 revealed by magneto-THz spectroscopy, Chin. Phys. Lett. 42, 120711 (2025).
  57. Z. Fu, R. Xu, Y. Chen, S. Bao, H. Du, J. Min, S. Zheng, Y. Zhang, M. Liu, X. Wang, H. Li, R. Zhong, H. Luo, J.-M. Liu, Z. Ma, and J. Wen, Signatures of a gapless quantum spin liquid in the Kitaev material Na3Co2−xZnxSbO6, Phys. Rev. B 107, 165143 (2023).
  58. J. Dong, X. Zhao, L. Xie, X. Pan, H. Tang, Z. Xu, G. Zhi, C. Cao, X. Wang, and F. Ning, Spin disorder state induced by Mg2+ doping in the Kitaev material Na3Co2SbO6, Phys. Rev. B 111, 195104 (2025).
  59. M. Carvalho, Crystal fields and the properties of Kitaev candidate Na3Co2SbO6 probed with x-ray absorption spectroscopy, Edmond, V1 (2026), https://doi.org/10.17617/3.RDPRH9.
  60. V. Petříček, L. Palatinus, J. Plášil, and M. Dušek, Jana2020—a new version of the crystallographic computing system Jana, Z. Kristallogr. - Cryst. Mater. 238, 271 (2023).

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