- Open Access
Orbital-driven superexchange engineering at molecule/antiferromagnetic-oxide interfaces
Phys. Rev. B 113, 214407 – Published 1 June, 2026
DOI: https://doi.org/10.1103/33f3-z6rd
Abstract
Antiferromagnetic transition-metal oxides provide robust platforms for spintronic and magnonic applications, where control of magnetic exchange interactions is essential for tailoring spin dynamics. Molecular adsorption at organic/inorganic interfaces offers a promising route to chemically engineer these interactions. We investigate how molecular adsorption modifies surface superexchange interactions in antiferromagnetic transition-metal oxides. Using density functional theory+U calculations, we study prototypical interfaces formed by and cobalt-tetraphenylporphyrin (CoTPP) adsorbed on NiO(001) and CoO(001) and extract exchange coupling constants from broken-symmetry total-energy calculations mapped onto a Heisenberg model. For clean surfaces, we obtain for NiO(001) and for CoO(001). Upon molecular adsorption, the magnitude of increases to for NiO and to for CoO, corresponding to enhancements up to for CoTPP/CoO(001). Orbital-resolved analysis reveals that the strengthening of superexchange correlates with a directional redistribution of charge within the transition-metal manifold, characterized by a redistribution of charge involving enhanced occupation of in-plane and out-of-plane -type orbitals aligned with the TM–O–TM and TM–molecule–TM superexchange pathways, accompanied by depletion of out-of-plane and in-plane orbitals. While only two representative molecules and two oxides are considered here, the consistency of the observed trends across chemically distinct systems suggests that the proposed orbital-repopulation mechanism may apply more broadly to related organic/antiferromagnetic-oxide interfaces.
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References (87)
- S. Sanvito, The rise of spinterface science, Nat. Phys. 6, 562 (2010).
- D. Ciudad, M. Gobbi, C. J. Kinane, M. Eich, J. S. Moodera, and L. E. Hueso, Sign control of magnetoresistance through chemically engineered interfaces, Adv. Mater. 26, 7561 (2014).
- V. A. Dediu, L. E. Hueso, I. Bergenti, and C. Taliani, Spin routes in organic semiconductors, Nat. Mater. 8, 707 (2009).
- S. Sanvito, Molecular spintronics, Chem. Soc. Rev. 40, 3336 (2011).
- K. V. Raman, Interface-assisted molecular spintronics, Appl. Phys. Rev. 1, 031101 (2014).
- S. W. Jiang, P. Wang, B. B. Chen, Y. Zhou, H. F. Ding, and D. Wu, Tuning carrier mobility without spin transport degrading in copper-phthalocyanine, Appl. Phys. Lett. 107, 042407 (2015).
- S. Pramanik, C.-G. Stefanita, S. Patibandla, S. Bandyopadhyay, K. Garre, N. Harth, and M. Cahay, Observation of extremely long spin relaxation times in an organic nanowire spin valve, Nat. Nanotechnol. 2, 216 (2007).
- G. Szulczewski, S. Sanvito, and M. Coey, A spin of their own, Nat. Mater. 8, 693 (2009).
- L. E. Hueso, I. Bergenti, A. Riminucci, Y. Q. Zhan, and V. Dediu, Multipurpose magnetic organic hybrid devices, Adv. Mater. 19, 2639 (2007).
- Z. H. Xiong, D. Wu, Z. V. Vardeny, and J. Shi, Giant magnetoresistance in organic spin-valves, Nature (London) 427, 821 (2004).
- M. Cinchetti, V. A. Dediu, and L. E. Hueso, Activating the molecular spinterface, Nat. Mater. 16, 507 (2017).
- A. R. Rocha, V. M. García-suárez, S. W. Bailey, C. J. Lambert, J. Ferrer, and S. Sanvito, Towards molecular spintronics, Nat. Mater. 4, 335 (2005).
- E. Coronado, Molecular magnetism: From chemical design to spin control in molecules, materials and devices, Nat. Rev. Mater. 5, 87 (2019).
- S. Steil, N. Großmann, M. Laux, A. Ruffing, D. Steil, M. Wiesenmayer, S. Mathias, O. L. A. Monti, M. Cinchetti, and M. Aeschlimann, Spin-dependent trapping of electrons at spinterfaces, Nat. Phys. 9, 242 (2013).
- S. Delprat, M. Galbiati, S. Tatay, B. Quinard, C. Barraud, F. Petroff, P. Seneor, and R. Mattana, Molecular spintronics: The role of spin-dependent hybridization, J. Phys. D: Appl. Phys. 51, 473001 (2018).
- C. Barraud, P. Seneor, R. Mattana, S. Fusil, K. Bouzehouane, C. Deranlot, P. Graziosi, L. Hueso, I. Bergenti, V. Dediu, F. Petroff, and A. Fert, Unravelling the role of the interface for spin injection into organic semiconductors, Nat. Phys. 6, 615 (2010).
- S. Lach, A. Altenhof, K. Tarafder, F. Schmitt, M. E. Ali, M. Vogel, J. Sauther, P. M. Oppeneer, and C. Ziegler, Metal–organic hybrid interface states of a ferromagnet/organic semiconductor hybrid junction as basis for engineering spin injection in organic spintronics, Adv. Funct. Mater. 22, 989 (2012).
- Y.-H. Chu, C.-H. Hsu, C.-I. Lu, H.-H. Yang, T.-H. Yang, C.-H. Luo, K.-J. Yang, S.-H. Hsu, G. Hoffmann, C.-C. Kaun, and M.-T. Lin, Spin-dependent molecule symmetry at a pentacene–co spinterface, ACS Nano 9, 7027 (2015).
- H. Wende, M. Bernien, J. Luo, C. Sorg, N. Ponpandian, J. Kurde, J. Miguel, M. Piantek, P. Xu, X. Eckhold, W. Kuch, K. Baberschke, P. M. Panchmatia, B. Sanyal, P. M. Oppeneer, and O. Eriksson, Substrate-induced magnetic ordering and switching of iron porphyrin molecules, Nat. Mater. 6, 516 (2007).
- T. L. A. Tran, P. K. J. Wong, M. P. de Jong, W. G. van der Wiel, Y. Q. Zhan, and M. Fahlman, Hybridization-induced oscillatory magnetic polarization of orbitals at the /Fe(001) interface, Appl. Phys. Lett. 98, 222505 (2011).
- K. Bairagi, A. Bellec, V. Repain, C. Chacon, Y. Girard, Y. Garreau, J. Lagoute, S. Rousset, R. Breitwieser, Y.-C. Hu, Y. C. Chao, W. W. Pai, D. Li, A. Smogunov, and C. Barreteau, Tuning the magnetic anisotropy at a molecule-metal interface, Phys. Rev. Lett. 114, 247203 (2015).
- K. V. Raman, A. M. Kamerbeek, A. Mukherjee, N. Atodiresei, T. K. Sen, P. Lazić, V. Caciuc, R. Michel, D. Stalke, S. K. Mandal, S. Blügel, M. Münzenberg, and J. S. Moodera, Interface-engineered templates for molecular spin memory devices, Nature (London) 493, 509 (2013).
- F. A. Ma'Mari, T. Moorsom, G. Teobaldi, W. Deacon, T. Prokscha, H. Luetkens, S. Lee, G. E. Sterbinsky, D. A. Arena, D. A. MacLaren, M. Flokstra, M. Ali, M. C. Wheeler, G. Burnell, B. J. Hickey, and O. Cespedes, Beating the Stoner criterion using molecular interfaces, Nature (London) 524, 69 (2015).
- L. Gnoli, M. Benini, C. Del Conte, A. Riminucci, R. K. Rakshit, M. Singh, S. Sanna, R. Yadav, K.-W. Lin, A. Mezzi, S. Achilli, E. Molteni, M. Marino, G. Fratesi, V. Dediu, and I. Bergenti, Enhancement of magnetic stability in antiferromagnetic CoO films by adsorption of organic molecules, ACS Appl. Electron. Mater. 6, 3138 (2024).
- M. Gobbi, F. Golmar, R. Llopis, F. Casanova, and L. E. Hueso, Room-temperature spin transport in -based spin valves, Adv. Mater. 23, 1609 (2011).
- P. Wong, T. Tran, P. Brinks, W. van der Wiel, M. Huijben, and M. de Jong, Highly ordered films on epitaxial Fe/MgO(001) surfaces for organic spintronics, Org. Electron. 14, 451 (2013).
- A. Brambilla, A. Picone, D. Giannotti, A. Calloni, G. Berti, G. Bussetti, S. Achilli, G. Fratesi, M. I. Trioni, G. Vinai, P. Torelli, G. Panaccione, L. Duò, M. Finazzi, and F. Ciccacci, Enhanced magnetic hybridization of a spinterface through insertion of a two-dimensional magnetic oxide layer, Nano Lett. 17, 7440 (2017).
- M. S. Jagadeesh, A. Calloni, A. Brambilla, A. Picone, A. Lodesani, L. Duò, F. Ciccacci, M. Finazzi, and G. Bussetti, Room temperature magnetism of ordered porphyrin layers on Fe, Appl. Phys. Lett. 115, 082404 (2019).
- M. Bernien, J. Miguel, C. Weis, M. E. Ali, J. Kurde, B. Krumme, P. M. Panchmatia, B. Sanyal, M. Piantek, P. Srivastava, K. Baberschke, P. M. Oppeneer, O. Eriksson, W. Kuch, and H. Wende, Tailoring the nature of magnetic coupling of Fe-porphyrin molecules to ferromagnetic substrates, Phys. Rev. Lett. 102, 047202 (2009).
- E. Annese, G. Di Santo, F. Choueikani, E. Otero, and P. Ohresser, Iron phthalocyanine and ferromagnetic thin films: Magnetic behavior of single and double interfaces, ACS Omega 4, 5076 (2019).
- C. Barraud, K. Bouzehouane, C. Deranlot, S. Fusil, H. Jabbar, J. Arabski, R. Rakshit, D.-J. Kim, C. Kieber, S. Boukari, M. Bowen, E. Beaurepaire, P. Seneor, R. Mattana, and F. Petroff, Unidirectional spin-dependent molecule-ferromagnet hybridized states anisotropy in cobalt phthalocyanine based magnetic tunnel junctions, Phys. Rev. Lett. 114, 206603 (2015).
- A. Atxabal, M. Ribeiro, S. Parui, L. Urreta, E. Sagasta, X. Sun, R. Llopis, F. Casanova, and L. E. Hueso, Spin doping using transition metal phthalocyanine molecules, Nat. Commun. 7, 13751 (2016).
- S. Alwan and Y. Dubi, Spinterface origin for the chirality-induced spin-selectivity effect, J. Am. Chem. Soc. 143, 14235 (2021).
- K. Banerjee-Ghosh, O. B. Dor, F. Tassinari, E. Capua, S. Yochelis, A. Capua, S.-H. Yang, S. S. P. Parkin, S. Sarkar, L. Kronik, L. T. Baczewski, R. Naaman, and Y. Paltiel, Separation of enantiomers by their enantiospecific interaction with achiral magnetic substrates, Science 360, 1331 (2018).
- K. Bairagi, O. Iasco, A. Bellec, A. Kartsev, D. Li, J. Lagoute, C. Chacon, Y. Girard, S. Rousset, F. Miserque, Y. J. Dappe, A. Smogunov, C. Barreteau, M.-L. Boillot, T. Mallah, and V. Repain, Molecular-scale dynamics of light-induced spin cross-over in a two-dimensional layer, Nat. Commun. 7, 12212 (2016).
- K. S. Kumar and M. Ruben, Sublimable spin-crossover complexes: From spin-state switching to molecular devices, Angew. Chem. Int. Ed. 60, 7502 (2021).
- G. Molnár, S. Rat, L. Salmon, W. Nicolazzi, and A. Bousseksou, Spin crossover nanomaterials: From fundamental concepts to devices, Adv. Mater. 30, 1703862 (2018).
- H. J. Shepherd, G. Molnár, W. Nicolazzi, L. Salmon, and A. Bousseksou, Spin crossover at the nanometre scale, Eur. J. Inorg. Chem. 2013, 653 (2013).
- W. Kuch and M. Bernien, Controlling the magnetism of adsorbed metal–organic molecules, J. Phys.: Condens. Matter 29, 023001 (2017).
- G. Avvisati, P. Gargiani, P. Mondelli, F. Presel, A. Baraldi, and M. G. Betti, Superexchange pathways stabilize the magnetic coupling of MnPc with Co in a spin interface mediated by graphene, Phys. Rev. B 98, 115412 (2018).
- M. Bazarnik, J. Brede, R. Decker, and R. Wiesendanger, Tailoring molecular self-assembly of magnetic phthalocyanine molecules on Fe- and Co-intercalated graphene, ACS Nano 7, 11341 (2013).
- A. M. Ruiz, G. Rivero-Carracedo, A. Rybakov, S. Dey, and J. J. Baldoví, Towards molecular controlled magnonics, Nanoscale Adv. 6, 3320 (2024).
- C. Tang, L. Zhang, and A. Du, Tunable magnetic anisotropy in 2D magnets via molecular adsorption, J. Mater. Chem. C 8, 14948 (2020).
- K. Olejník, T. Seifert, Z. Kašpar, V. Novák, P. Wadley, R. P. Campion, M. Baumgartner, P. Gambardella, P. Němec, J. Wunderlich, J. Sinova, P. Kužel, M. Müller, T. Kampfrath, and T. Jungwirth, Terahertz electrical writing speed in an antiferromagnetic memory, Sci. Adv. 4, eaar3566 (2018).
- P. Wadley, B. Howells, J. Železný, C. Andrews, V. Hills, R. P. Campion, V. Novák, K. Olejník, F. Maccherozzi, S. S. Dhesi, S. Y. Martin, T. Wagner, J. Wunderlich, F. Freimuth, Y. Mokrousov, J. Kuneš, J. S. Chauhan, M. J. Grzybowski, A. W. Rushforth, K. W. Edmonds, B. L. Gallagher, and T. Jungwirth, Electrical switching of an antiferromagnet, Science 351, 587 (2016).
- W. L. Roth, Multispin axis structures for antiferromagnets, Phys. Rev. 111, 772 (1958).
- C. H. La Blanchetais, Contribution to the study of antiferromagnetism. Thermomagnetic study of cobalt and nickel protoxides, J. Phys. Radium 12, 765 (1951).
- P. J. van der Zaag, Y. Ijiri, J. A. Borchers, L. F. Feiner, R. M. Wolf, J. M. Gaines, R. W. Erwin, and M. A. Verheijen, Difference between blocking and Néel temperatures in the exchange biased system, Phys. Rev. Lett. 84, 6102 (2000).
- M. Marino, G. Rivero-Carracedo, A. Rybakov, J. J. Baldoví, and G. Fratesi, Chemical tuning of magnons in NiO(001) by Fe-phthalocyanine adsorption, Phys. Chem. Chem. Phys. 27, 6249 (2025).
- M. Marino, E. Molteni, S. Achilli, G. Onida, and G. Fratesi, Ab initio electronic, magnetic, and optical properties of Fe phthalocyanine on (0001), Molecules 29, 2889 (2024).
- P. K. J. Wong, W. Zhang, K. Wang, G. van der Laan, Y. Xu, W. G. van der Wiel, and M. P. De Jong, Electronic and magnetic structure of / (001): A hybrid interface for organic spintronics, J. Mater. Chem. C 1, 1197 (2013).
- T. Schmitt, P. Ferstl, L. Hammer, M. A. Schneider, and J. Redinger, Adsorption and intermolecular interaction of cobalt phthalocyanine on CoO(111) ultrathin films: An STM and DFT study, J. Phys. Chem. C 121, 2889 (2017).
- M. Glaser, H. Peisert, H. Adler, M. Polek, J. Uihlein, P. Nagel, M. Merz, S. Schuppler, and T. Chassé, Transition-metal phthalocyanines on transition-metal oxides: Iron and cobalt phthalocyanine on epitaxial MnO and films, J. Phys. Chem. C 119, 27569 (2015).
- S. Freund, A. Hinaut, N. Marinakis, E. C. Constable, E. Meyer, C. E. Housecroft, and T. Glatzel, Comparing a porphyrin- and a coumarin-based dye adsorbed on NiO(001), Beilstein J. Nanotechnol. 10, 874 (2019).
- F. Xiang, T. Schmitt, M. Raschmann, and M. A. Schneider, Adsorption and self-assembly of porphyrins on ultrathin CoO films on Ir(100), Beilstein J. Nanotechnol. 11, 1516 (2020).
- M. Ammon, A. Raabgrund, and M. A. Schneider, Adsorption, self-assembly and self-metalation of tetra-cyanophenyl porphyrins on semiconducting CoO(100) films, Surf. Sci. 720, 122044 (2022).
- H. Whitlock Jr. and B. K. Bower, Cobalt (I) meso-tetraphenylporphyrin, Tetrahedron Lett. 6, 4827 (1965).
- R. Pang, X. Shi, and M. A. Van Hove, Manipulating magnetism at organic/ferromagnetic interfaces by molecule-induced surface reconstruction, J. Am. Chem. Soc. 138, 4029 (2016).
- M. Rogers, A. Walton, M. G. Flokstra, F. Al Ma'Mari, R. Stewart, S. L. Lee, T. Prokscha, A. J. Caruana, C. J. Kinane, S. Langridge, H. Bradshaw, T. Moorsom, M. Ali, G. Burnell, B. J. Hickey, and O. Cespedes, Spin-singlet to triplet Cooper pair converter interface, Commun. Phys. 4, 69 (2021).
- T. Moorsom, M. Rogers, I. Scivetti, S. Bandaru, G. Teobaldi, M. Valvidares, M. Flokstra, S. Lee, R. Stewart, T. Prokscha, P. Gargiani, N. Alosaimi, G. Stefanou, M. Ali, F. Al Ma'Mari, G. Burnell, B. J. Hickey, and O. Cespedes, Reversible spin storage in metal oxide-fullerene heterojunctions, Sci. Adv. 6, eaax1085 (2020).
- M. Capra, M. Marino, A. Picone, A. Ferretti, A. Giampietri, F. Ciccacci, S. Fiori, D. Dagur, F. Motti, G. Vinai, G. Panaccione, E. Molteni, S. Achilli, G. Fratesi, and A. Brambilla, Long-range magnetic ordering of FePc molecules driven by interfacial coupling with antiferromagnetic , Phys. Rev. Mater. 9, 104413 (2025).
- M. Capra, G. Fratesi, F. Motti, A. Picone, A. Ferretti, P. Milanesi, A. Giampietri, F. Goto, A. Calloni, F. Ciccacci, D. Dagur, G. Vinai, G. Panaccione, S. Achilli, S. Ma, M. Marino, E. Molteni, and A. Brambilla, Growth and characterization of a CoTPP/NiO(001) antiferromagnetic spinterface, Adv. Phys. Res. 4, e00076 (2025).
- P. W. Anderson, Antiferromagnetism. theory of superexchange interaction, Phys. Rev. 79, 350 (1950).
- K. Terakura, T. Oguchi, A. R. Williams, and J. Kübler, Band theory of insulating transition-metal monoxides: Band-structure calculations, Phys. Rev. B 30, 4734 (1984).
- W. H. Meiklejohn and C. P. Bean, New magnetic anisotropy, Phys. Rev. 105, 904 (1957).
- H. Ohldag, A. Scholl, F. Nolting, E. Arenholz, S. Maat, A. T. Young, M. Carey, and J. Stöhr, Correlation between exchange bias and pinned interfacial spins, Phys. Rev. Lett. 91, 017203 (2003).
- F. Nolting, A. Scholl, J. Stöhr, J. W. Seo, J. Fompeyrine, H. Siegwart, J.-P. Locquet, S. Anders, J. Lüning, E. E. Fullerton, M. F. Toney, M. R. Scheinfein, and H. A. Padmore, Direct observation of the alignment of ferromagnetic spins by antiferromagnetic spins, Nature (London) 405, 767 (2000).
- D. Alders, L. H. Tjeng, F. C. Voogt, T. Hibma, G. A. Sawatzky, C. T. Chen, J. Vogel, M. Sacchi, and S. Iacobucci, Temperature and thickness dependence of magnetic moments in NiO epitaxial films, Phys. Rev. B 57, 11623 (1998).
- W. A. Harrison, Heisenberg exchange in the magnetic monoxides, Phys. Rev. B 76, 054417 (2007).
- A. Hinaut, S. Scherb, S. Freund, Z. Liu, T. Glatzel, and E. Meyer, Influence of electrospray deposition on molecular assemblies, Beilstein J. Nanotechnol. 12, 552 (2021).
- P. Giannozzi, O. Andreussi, T. Brumme, O. Bunau, M. B. Nardelli, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, M. Cococcioni, N. Colonna, I. Carnimeo, A. Dal Corso, S. de Gironcoli, P. Delugas, R. A. DiStasio Jr, A. Ferretti, A. Floris, G. Fratesi, G. Fugallo, R. Gebauer, U. Gerstmann, F. Giustino, T. Gorni, J. Jia, M. Kawamura, H.-Y. Ko, A. Kokalj, E. Küçükbenli, M. Lazzeri, M. Marsili, N. Marzari, F. Mauri, N. L. Nguyen, H.-V. Nguyen, A. Otero-de-la Roza, L. Paulatto, S. Poncé, D. Rocca, R. Sabatini, B. Santra, M. Schlipf, A. P. Seitsonen, A. Smogunov, I. Timrov, T. Thonhauser, P. Umari, N. Vast, X. Wu, and S. Baroni, Advanced capabilities for materials modelling with Quantum ESPRESSO, J. Phys.: Condens. Matter 29, 465901 (2017).
- P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, A. Dal Corso, S. de Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, N. Marzari, F. Mauri, R. Mazzarello, S. Paolini, A. Pasquarello, L. Paulatto, C. Sbraccia, S. Scandolo, G. Sclauzero, A. P. Seitsonen, A. Smogunov, P. Umari, and R. M. Wentzcovitch, QUANTUM ESPRESSO: A modular and open-source software project for quantum simulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
- T. Thonhauser, S. Zuluaga, C. A. Arter, K. Berland, E. Schröder, and P. Hyldgaard, Spin signature of nonlocal correlation binding in metal-organic frameworks, Phys. Rev. Lett. 115, 136402 (2015).
- S. L. Dudarev, G. A. Botton, S. Y. Savrasov, C. J. Humphreys, and A. P. Sutton, Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study, Phys. Rev. B 57, 1505 (1998).
- S. Ninova, O. B. Malcıoğlu, P. Auburger, M. Franke, O. Lytken, H.-P. Steinrück, and M. Bockstedte, Morphology dependent interaction between Co(ii)-tetraphenylporphyrin and the MgO(100) surface, Phys. Chem. Chem. Phys. 23, 2105 (2021).
- C. F. Hermanns, K. Tarafder, M. Bernien, A. Krüger, Y.-M. Chang, P. M. Oppeneer, and W. Kuch, Magnetic coupling of porphyrin molecules through graphene, Adv. Mater. 25, 3473 (2013).
- S. Baronio, M. De Col, A. Yadav, B. Roondhe, V. Mischke, O. Resel, D. Bidoggia, A. Namar, N. Vinogradov, M. Scardamaglia, M. Valvidares, P. Gargiani, M. Cinchetti, G. Zamborlini, P. Giannozzi, and E. Vesselli, Single atom coordination in a manganese–cobalt Bi-metallic framework on graphene: Geometric and electronic structures, Nanoscale 17, 16946 (2025).
- R. W. Cairns and E. Ott, X-ray studies of the system nickel—oxygen—water. I. Nickelous oxide and , J. Am. Chem. Soc. 55, 527 (1933).
- R. Kannan and M. S. Seehra, Percolation effects and magnetic properties of the randomly diluted fcc system , Phys. Rev. B 35, 6847 (1987).
- S. Ma, M. Marino, and G. Fratesi, Dataset associated with S. Ma orbital-driven superexchange engineering at molecule/antiferromagnetic-oxide interfaces [Data set], Zenodo (2025), https://doi.org/10.5281/zenodo.17908511.
- R. Logemann, A. N. Rudenko, M. I. Katsnelson, and A. Kirilyuk, Exchange interactions in transition metal oxides: The role of oxygen spin polarization, J. Phys.: Condens. Matter 29, 335801 (2017).
- P. Pokhilko and D. Zgid, Evaluation of Neel temperatures from fully self-consistent broken-symmetry GW and high-temperature expansion: Application to cubic transition-metal oxides, J. Phys. Chem. Lett. 14, 5777 (2023).
- H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B 13, 5188 (1976).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/33f3-z6rd for additional simulations and details, namely, additional adsorption configurations, ballstick models, and electronic density of states, proximity effects on the molecules, considerations on electron density displacements, and dependence of exchange couplings on the numerical protocol.
- D. Ködderitzsch, W. Hergert, W. M. Temmerman, Z. Szotek, A. Ernst, and H. Winter, Exchange interactions in NiO and at the NiO(100) surface, Phys. Rev. B 66, 064434 (2002).
- A. Auerbach, Interacting Electrons and Quantum Magnetism, Graduate Texts in Contemporary Physics (Springer-Verlag, New York, 1994).
- D. I. Khomskii, Transition Metal Compounds (Cambridge University Press, Cambridge, 2014).