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Polaron-Driven Switching of Octupolar Order in Doped 5d2 Double Perovskite

Dario Fiore Mosca1,2,3, Lorenzo Celiberti1,4, Leonid V. Pourovskii2,3, and Cesare Franchini1,5

Phys. Rev. Lett. 137, 046504 – Published 22 July, 2026

DOI: https://doi.org/10.1103/r8v5-h8bq

Abstract

We investigate how doping-induced small polarons impact the low-temperature multipolar orders of the 5d2 double perovskite Ba2CaOsO6. By computing intersite exchange interactions between 5d1 localized hole polarons and 5d2 magnetic ions from first principles, we demonstrate the reversal of the dominant octupolar exchange from ferromagnetic to antiferromagnetic. Solving the corresponding effective Hamiltonian, we find this reversal to account for the progressive suppression of the ferro-octupolar order and the reduction of the ordering temperature upon Na doping. These findings clarify previously ambiguous experimental observations and demonstrate that charge doping in the form of small polarons offers a viable route to tuning intersite exchange interactions in spin-orbit-entangled materials, enabling the emergence of novel quantum orders.

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References (53)

  1. William Witczak-Krempa, Gang Chen, Yong Baek Kim, and Leon Balents, Correlated quantum phenomena in the strong spin-orbit regime, Annu. Rev. Condens. Matter Phys. 5, 57 (2014).
  2. B. J. Kim, Hosub Jin, S. J. Moon, J.-Y. Kim, B.-G. Park, C. S. Leem, Jaejun Yu, T. W. Noh, C. Kim, S.-J. Oh, J.-H. Park, V. Durairaj, G. Cao, and E. Rotenberg, Novel Jeff=1/2 Mott state induced by relativistic spin-orbit coupling in Sr2IrO4, Phys. Rev. Lett. 101, 076402 (2008).
  3. Jairo Sinova, Sergio O. Valenzuela, J. Wunderlich, C. H. Back, and T. Jungwirth, Spin Hall effects, Rev. Mod. Phys. 87, 1213 (2015).
  4. G. Jackeli and G. Khaliullin, Mott insulators in the strong spin-orbit coupling limit: From Heisenberg to a quantum compass and Kitaev models, Phys. Rev. Lett. 102, 017205 (2009).
  5. Leonid V. Pourovskii, Dario Fiore Mosca, Lorenzo Celiberti, Sergii Khmelevskyi, Arun Paramekanti, and Cesare Franchini, Hidden orders in spin–orbit-entangled correlated insulators, Nat. Rev. Mater. 10, 674 (2025).
  6. P. Santini, S. Carretta, G. Amoretti, R. Caciuffo, N. Magnani, and G. H. Lander, Multipolar interactions in f-electron systems: The paradigm of actinide dioxides, Rev. Mod. Phys. 81, 807 (2009).
  7. Y. Kuramoto, H. Kusunose, and A. Kiss, Multipole orders and fluctuations in strongly correlated electron systems, J. Phys. Soc. Jpn. 78, 072001 (2009).
  8. L Lu, M. Song, W. Liu, A. P. Reyes, P. Kuhns, H. O. Lee, I. R. Fisher, and V. F. Mitrović, Magnetism and local symmetry breaking in a Mott insulator with strong spin orbit interactions, Nat. Commun. 8, 14407 (2017).
  9. D. Fiore Mosca, L V. Pourovskii, B. H. Kim, P. Liu, S. Sanna, F. Boscherini, S. Khmelevskyi, and C. Franchini, Interplay between multipolar spin interactions, Jahn-Teller effect, and electronic correlation in a Jeff=32 insulator, Phys. Rev. B 103, 104401 (2021).
  10. A. S. Erickson, S. Misra, G. J. Miller, R. R. Gupta, Z. Schlesinger, W. A. Harrison, J. M. Kim, and I. R. Fisher, Ferromagnetism in the Mott insulator Ba2NaOsO6, Phys. Rev. Lett. 99, 016404 (2007).
  11. V. da Cruz Pinha Barbosa, J. Xiong, P. M. Tran, M. A. McGuire, J. Yan, M. T. Warren, R. V. Aguilar, W. Zhang, M. Randeria, N. Trivedi, D. Haskel, and P. M. Woodward, The impact of structural distortions on the magnetism of double perovskites containing 5d1 transition-metal ions, Chem. Mater. 34, 1098 (2022).
  12. Jagadesh Kopula Kesavan, Dario Fiore Mosca, Samuele Sanna, Francesco Borgatti, Götz Schuck, Phuong Minh Tran, Patrick M. Woodward, Vesna F. Mitrović, Cesare Franchini, and Federico Boscherini, Doping evolution of the local electronic and structural properties of the double perovskite Ba2Na1−xCaxOsO6, J. Phys. Chem. C 124, 16577 (2020).
  13. S. Agrestini, F. Borgatti, P. Florio, J. Frassineti, D. Fiore Mosca, Q. Faure, B. Detlefs, C. J. Sahle, S. Francoual, J. Choi, M. Garcia-Fernandez, K.-J. Zhou, V. F. Mitrović, P. M. Woodward, G. Ghiringhelli, C. Franchini, F. Boscherini, S. Sanna, and M. Moretti Sala, Origin of magnetism in a supposedly nonmagnetic osmium oxide, Phys. Rev. Lett. 133, 066501 (2024).
  14. N. Iwahara and L F. Chibotaru, Vibronic order and emergent magnetism in cubic d1 double perovskites, Phys. Rev. B 107, L220404 (2023).
  15. D. D. Maharaj, G. Sala, M. B. Stone, E. Kermarrec, C. Ritter, F. Fauth, C. A. Marjerrison, J. E. Greedan, A. Paramekanti, and B. D. Gaulin, Octupolar versus Néel order in cubic 5d2 double perovskites, Phys. Rev. Lett. 124, 087206 (2020).
  16. C M Thompson, J P Carlo, R Flacau, T Aharen, I A Leahy, J R Pollichemi, T J S Munsie, T Medina, G M Luke, J Munevar, S Cheung, T Goko, Y J Uemura, and J E Greedan, Long-range magnetic order in the 5d2 double perovskite Ba2CaOsO6: Comparison with spin-disordered Ba2YReO6, J. Phys. Condens. Matter 26, 306003 (2014).
  17. C. A. Marjerrison, C. M. Thompson, G. Sala, D. D. Maharaj, E. Kermarrec, Y. Cai, A. M. Hallas, M. N. Wilson, T. J. S. Munsie, G. E. Granroth, R. Flacau, J. E. Greedan, B. D. Gaulin, and G. M. Luke, Cubic Re6+ (5d1) double perovskites, Ba2MgReO6, Ba2ZnReO6, and Ba2Y2/3ReO6: Magnetism, heat capacity, μSR, and neutron scattering studies and comparison with theory, Inorg. Chem. 55, 10701 (2016).
  18. J. Okamoto, G. Shibata, Yu. S. Ponosov, H. Hayashi, K. Yamaura, H. Y. Huang, A. Singh, C. T. Chen, A. Tanaka, S. V. Streltsov, D. J. Huang, and A. Fujimori, Spin-orbit-entangled state of Ba2CaOsO6 studied by O K-edge resonant inelastic X-ray scattering and Raman spectroscopy, npj Quantum Mater. 10, 44 (2025).
  19. Giniyat Khaliullin, Derek Churchill, P. Peter Stavropoulos, and Hae-Young Kee, Exchange interactions, jahn-teller coupling, and multipole orders in pseudospin one-half 5d2 Mott insulators, Phys. Rev. Res. 3, 033163 (2021).
  20. Derek Churchill and Hae-Young Kee, Competing multipolar orders in a face-centered cubic lattice: Application to the osmium double perovskites, Phys. Rev. B 105, 014438 (2022).
  21. A. Paramekanti, D. D. Maharaj, and B. D. Gaulin, Octupolar order in d-orbital Mott insulators, Phys. Rev. B 101, 054439 (2020).
  22. Sreekar Voleti, D. D. Maharaj, B. D. Gaulin, Graeme Luke, and A. Paramekanti, Multipolar magnetism in d-orbital systems: Crystal field levels, octupolar order, and orbital loop currents, Phys. Rev. B 101, 155118 (2020).
  23. Sreekar Voleti, Arijit Haldar, and Arun Paramekanti, Octupolar order and ising quantum criticality tuned by strain and dimensionality: Application to d-orbital Mott insulators, Phys. Rev. B 104, 174431 (2021).
  24. L V. Pourovskii, D. Fiore Mosca, and C. Franchini, Ferro-octupolar order and low-energy excitations in d2 double perovskites of osmium, Phys. Rev. Lett. 127, 237201 (2021).
  25. Rong Cong, Erick Garcia, Paola C. Forino, Anna Tassetti, Giuseppe Allodi, Arneil P. Reyes, Phoung M. Tran, Patrick M. Woodward, Cesare Franchini, Samuele Sanna, and Vesna F. Mitrović, Effects of charge doping on Mott insulator with strong spin-orbit coupling, Ba2Na1−xCaxOsO6, Phys. Rev. Mater. 7, 084409 (2023).
  26. Sreekar Voleti, Koushik Pradhan, Subhro Bhattacharjee, Tanusri Saha-Dasgupta, and Arun Paramekanti, Probing octupolar hidden order via Janus impurities, npj Quantum Mater. 8, 42 (2023).
  27. Lorenzo Celiberti, Dario Fiore Mosca, Giuseppe Allodi, Leonid V. Pourovskii, Anna Tassetti, Paola Caterina Forino, Rong Cong, Erick Garcia, Phuong M. Tran, Roberto De Renzi, Patrick M. Woodward, Vesna F. Mitrović, Samuele Sanna, and Cesare Franchini, Spin-orbital Jahn-Teller bipolarons, Nat. Commun. 15, 2429 (2024).
  28. Cesare Franchini, Michele Reticcioli, Martin Setvin, and Ulrike Diebold, Polarons in materials, Nat. Rev. Mater. 6, 560 (2021).
  29. L V. Pourovskii, Two-site fluctuations and multipolar intersite exchange interactions in strongly correlated systems, Phys. Rev. B 94, 115117 (2016).
  30. P Blaha, K Schwarz, G Madsen, D Kvasnicka, J Luitz, R Laskowski, F Tran, and L D. Marks, WIEN2k, An Augmented Plane Wave+Local Orbitals Program for Calculating Crystal Properties (Karlheinz Schwarz, Techn. Universität Wien, Austria, [Amazon][WorldCat]), ISBN [Amazon][WorldCat].
  31. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions, Rev. Mod. Phys. 68, 13 (1996).
  32. V I Anisimov, A I Poteryaev, M A Korotin, A O Anokhin, and G Kotliar, First-principles calculations of the electronic structure and spectra of strongly correlated systems: Dynamical mean-field theory, J. Phys. Condens. Matter 9, 7359 (1997).
  33. A. I. Lichtenstein and M. I. Katsnelson, Ab initio calculations of quasiparticle band structure in correlated systems: LDA++ approach, Phys. Rev. B 57, 6884 (1998).
  34. M. Aichhorn, L V. Pourovskii, P. Seth, V. Vildosola, M. Zingl, O. E Peil, X. Deng, J. Mravlje, G. J Kraberger, C. Martins et al., TRIQS/DFTTools: A TRIQS application for ab initio calculations of correlated materials, Comput. Phys. Commun. 204, 200 (2016).
  35. J. Hubbard, Electron correlations in narrow energy bands, Proc. R. Soc. A 276, 238 (1963).
  36. L. V. Pourovskii and D. Fiore Mosca, MagInt, https://github.com/MagInteract/MagInt.
  37. See Supplemental Material at http://link.aps.org/supplemental/10.1103/r8v5-h8bq for (S1) first principles methods, (S2) intersite exchange interactions vs U and methodological considerations, (S3) doping concentration δ=0.125 with the virtual crystal approximation, (S4) doping concentration δ=0.125 with chemical doping, and (S5) doping concentration δ=0.125 from the constrained DFT+U structure, which includes [38–43].
  38. A. Mansouri Tehrani and N A. Spaldin, Untangling the structural, magnetic dipole, and charge multipolar orders in ba2mgreo6, Phys. Rev. Mater. 5, 104410 (2021).
  39. Oleksandr I. Malyi and Alex Zunger, False metals, real insulators, and degenerate gapped metals, Appl. Phys. Rev. 7, 041310 (2020).
  40. Bongjae Kim, Peitao Liu, Zeynep Ergönenc, Alessandro Toschi, Sergii Khmelevskyi, and Cesare Franchini, Lifshitz transition driven by spin fluctuations and spin-orbit renormalization in NaOsO3, Phys. Rev. B 94, 241113(R) (2016).
  41. Peitao Liu, Jiangang He, Bongjae Kim, Sergii Khmelevskyi, Alessandro Toschi, Georg Kresse, and Cesare Franchini, Comparative ab initio study of the structural, electronic, magnetic, and dynamical properties of LiOsO3 and NaOsO3, Phys. Rev. Mater. 4, 045001 (2020).
  42. A. I. Liechtenstein, V. I. Anisimov, and J. Zaanen, Density-functional theory and strong interactions: Orbital ordering in mott-hubbard insulators, Phys. Rev. B 52, R5467 (1995).
  43. G. Kresse and J. Hafner, Ab initio molecular dynamics for liquid metals, Phys. Rev. B 47, 558 (1993).
  44. Dario Fiore Mosca, Hermann Schnait, Lorenzo Celiberti, Markus Aichhorn, and Cesare Franchini, The Mott transition in the 5d1 compound Ba2NaOsO6: A DFT+DMFT study with PAW spinor projectors, Comput. Mater. Sci. 233, 112764 (2024).
  45. G. Chen, R. Pereira, and L Balents, Exotic phases induced by strong spin-orbit coupling in ordered double perovskites, Phys. Rev. B 82, 174440 (2010).
  46. C. Svoboda, W. Zhang, M. Randeria, and N. Trivedi, Orbital order drives magnetic order in 5d1 and 5d2 double perovskite Mott insulators, Phys. Rev. B 104, 024437 (2021).
  47. G. Chen and L Balents, Spin-orbit coupling in d2 ordered double perovskites, Phys. Rev. B 84, 094420 (2011).
  48. Ahmed Rayyan, Xiaoyu Liu, and Hae-Young Kee, Fate of multipolar physics in 5d2 double perovskites, Phys. Rev. B 108, 045149 (2023).
  49. M Rotter, Using mcphase to calculate magnetic phase diagrams of rare earth compounds, J. Magn. Magn. Mater. 272–276, E481 (2004).
  50. D. Fiore Mosca, C. Franchini, and L. V. Pourovskii, Interplay of superexchange and vibronic effects in the hidden order of Ba2MgReO6 from first principles, Phys. Rev. B 110, L201101 (2024).
  51. G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
  52. D. Fiore Mosca, L. V. Pourovskii, and C. Franchini, Modeling magnetic multipolar phases in density functional theory, Phys. Rev. B 106, 035127 (2022).
  53. Jian-Rui Soh, Maximilian E. Merkel, Leonid V. Pourovskii, Ivica Živković, Oleg Malanyuk, Jana Pásztorová, Sonia Francoual, Daigorou Hirai, Andrea Urru, Davor Tolj, Dario Fiore Mosca, Oleg V. Yazyev, Nicola A. Spaldin, Claude Ederer, and Henrik M. Rønnow, Spectroscopic signatures and origin of hidden order in Ba2MgReO6, Nat. Commun. 15, 10383 (2024).

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