- Open Access
Electronic structure and optical properties of antiferromagnetic -oxides from a Wannier-localized optimally tuned screened range-separated hybrid functional
Phys. Rev. Materials 10, 103804 – Published 16 October, 2026
DOI: https://doi.org/10.1103/126j-3fts
Abstract
We apply the recently developed nonempirical Wannier-localized, optimally tuned, screened range-separated hybrid (WOT-SRSH) functional to prototypical bulk antiferromagnetic insulators—MnO, NiO, hematite (), and chromia (). Comparison to calculations based on well-established functionals, namely PBE0 and HSE06, as well as to self-consistent quasiparticle GW, dynamic mean-field theory calculations, and experiment, shows that the WOT-SRSH functional provides a good quantitative description of fundamental band gaps, spin magnetic moments, and photoemission and optical absorption spectra. Our calculations establish WOT-SRSH as an effective framework for predictive calculations of electronic, magnetic, and optical properties of magnetic insulators, as well as establishing it as an attractive starting point for subsequent many-body calculations.
Physics Subject Headings (PhySH)
Collections
This article appears in the following collection:

Advances in Computational Methods for Materials Research
The Editors of Physical Review Materials are pleased to present the Collection on Advances in Computational Methods for Materials Research, highlighting cutting-edge developments in modeling, prediction, and interpretation of materials behavior. The Collection is being guest-edited by Axel Gross of Ulm University (Germany), Seán Kavanagh of the University of Cambridge (UK), and Shiyou Chen of Fudan University (China). Every article published in this collection underwent a rigorous peer review process, adhering to the same high standards applied to all papers. The Physical Review Materials editorial team managed the peer review and made all editorial decisions.
Article Text
Supplemental Material
References (132)
- J. B. Goodenough, Magnetism and the Chemical Bond (Interscience, New York, 1963).
- J. Zaanen, G. Sawatzky, and J. Allen, Band gaps and electronic structure of transition-metal compounds, Phys. Rev. Lett. 55, 418 (1985).
- M. Imada, A. Fujimori, and Y. Tokura, Metal-insulator transitions, Rev. Mod. Phys. 70, 1039 (1998).
- V. A. Gubanov, A. I. Liechtenstein, and A. V. Postnikov, Magnetism and the Electronic Structure of Crystals (Springer Science & Business Media, Berlin, Heidelberg, 2012), Vol. 98.
- S. Maekawa, T. Tohyama, S. E. Barnes, S. Ishihara, W. Koshibae, and G. Khaliullin, Physics of Transition Metal Oxides (Springer, Berlin, Heidelberg, 2013), Vol. 144.
- D. I. Khomskii, Transition Metal Compounds (Cambridge University Press, Cambridge, 2014).
- P. Hohenberg and W. Kohn, Inhomogeneous electron gas, Phys. Rev. 136, B864 (1964).
- J. P. Perdew and A. Zunger, Self-interaction correction to density-functional approximations for many-electron systems, Phys. Rev. B 23, 5048 (1981).
- L. Kronik and S. Kümmel, Piecewise linearity, freedom from self-interaction, and a Coulomb asymptotic potential: Three related yet inequivalent properties of the exact density functional, Phys. Chem. Chem. Phys. 22, 16467 (2020).
- E. Dagotto, Complexity in strongly correlated electronic systems, Science 309, 257 (2005).
- V. I. Anisimov, F. Aryasetiawan, and A. Lichtenstein, First-principles calculations of the electronic structure and spectra of strongly correlated systems: The LDA method, J. Phys.: Condens. Matter 9, 767 (1997).
- S. Mandal, K. Haule, K. M. Rabe, and D. Vanderbilt, Influence of magnetic ordering on the spectral properties of binary transition metal oxides, Phys. Rev. B 100, 245109 (2019).
- D. Wing, G. Ohad, J. B. Haber, M. R. Filip, S. E. Gant, J. B. Neaton, and L. Kronik, Band gaps of crystalline solids from Wannier-localization–based optimal tuning of a screened range-separated hybrid functional, Proc. Natl. Acad. Sci. USA 118, e2104556118 (2021).
- G. Ohad, D. Wing, S. E. Gant, A. V. Cohen, J. B. Haber, F. Sagredo, M. R. Filip, J. B. Neaton, and L. Kronik, Band gaps of halide perovskites from a Wannier-localized optimally tuned screened range-separated hybrid functional, Phys. Rev. Mater. 6, 104606 (2022).
- G. Ohad, S. E. Gant, D. Wing, J. B. Haber, M. Camarasa-Gómez, F. Sagredo, M. R. Filip, J. B. Neaton, and L. Kronik, Optical absorption spectra of metal oxides from time-dependent density functional theory and many-body perturbation theory based on optimally-tuned hybrid functionals, Phys. Rev. Mater. 7, 123803 (2023).
- F. Sagredo, S. E. Gant, G. Ohad, J. B. Haber, M. R. Filip, L. Kronik, and J. B. Neaton, Electronic structure and optical properties of halide double perovskites from a Wannier-localized optimally-tuned screened range-separated hybrid functional, Phys. Rev. Mater. 8, 105401 (2024).
- W. Roth, Magnetic structures of MnO, FeO, CoO, and NiO, Phys. Rev. 110, 1333 (1958).
- D. Kasinathan, J. Kuneš, K. Koepernik, C. V. Diaconu, R. L. Martin, I. D. Prodan, G. E. Scuseria, N. Spaldin, L. Petit, T. C. Schulthess, and W. E. Pickett, Mott transition of MnO under pressure: A comparison of correlated band theories, Phys. Rev. B 74, 195110 (2006).
- P. Liu, C. Franchini, M. Marsman, and G. Kresse, Assessing model-dielectric-dependent hybrid functionals on the antiferromagnetic transition-metal monoxides MnO, FeO, CoO, and NiO, J. Phys.: Condens. Matter 32, 015502 (2020).
- M. S. Abdallah and A. Pasquarello, Quasiparticle self-consistent with effective vertex corrections in the polarizability and the self-energy applied to MnO, FeO, CoO, and NiO, Phys. Rev. B 110, 155105 (2024).
- T. Satoh, S.-J. Cho, R. Iida, T. Shimura, K. Kuroda, H. Ueda, Y. Ueda, B. Ivanov, F. Nori, and M. Fiebig, Spin oscillations in antiferromagnetic NiO triggered by circularly polarized light, Phys. Rev. Lett. 105, 077402 (2010).
- T. Kampfrath, A. Sell, G. Klatt, A. Pashkin, S. Mährlein, T. Dekorsy, M. Wolf, M. Fiebig, A. Leitenstorfer, and R. Huber, Coherent terahertz control of antiferromagnetic spin waves, Nat. Photon. 5, 31 (2011).
- H. Wan, L. Hu, X. Liu, Y. Zhang, G. Chen, N. Zhang, and R. Ma, Advanced hematite nanomaterials for newly emerging applications, Chem. Sci. 14, 2776 (2023).
- D. A. Grave, D. S. Ellis, Y. Piekner, M. Kölbach, H. Dotan, A. Kay, P. Schnell, R. van de Krol, F. F. Abdi, D. Friedrich, and A. Rothschild, Extraction of mobile charge carrier photogeneration yield spectrum of ultrathin-film metal oxide photoanodes for solar water splitting, Nat. Mater. 20, 833 (2021).
- N. A. Spaldin and R. Ramesh, Advances in magnetoelectric multiferroics, Nat. Mater. 18, 203 (2019).
- D. N. Astrov, The magnetoelectric effect in antiferromagnetics, J. Exptl. Theoret. Phys. (U.S.S.R.) 38, 984 (1960) [Sov. Phys. JETP 11, 708 (1960)].
- M. Fiebig, T. Lottermoser, D. Meier, and M. Trassin, The evolution of multiferroics, Nat. Rev. Mater. 1, 16046 (2016).
- S. Refaely-Abramson, S. Sharifzadeh, M. Jain, R. Baer, J. B. Neaton, and L. Kronik, Gap renormalization of molecular crystals from density-functional theory, Phys. Rev. B 88, 081204(R) (2013).
- A. Seidl, A. Görling, P. Vogl, J. A. Majewski, and M. Levy, Generalized Kohn-Sham schemes and the band-gap problem, Phys. Rev. B 53, 3764 (1996).
- L. Kronik, T. Stein, S. Refaely-Abramson, and R. Baer, Excitation gaps of finite-sized systems from optimally tuned range-separated hybrid functionals, J. Chem. Theory Comput. 8, 1515 (2012).
- R. Baer and L. Kronik, Time-dependent generalized Kohn–Sham theory, Eur. Phys. J. B 91, 170 (2018).
- R. Garrick, L. Kronik, and T. Gould, Adiabatic connection for range-separated hybrid functionals, Adv. Theory Simul. 5, 2100550 (2022).
- D. Lüftner, S. Refaely-Abramson, M. Pachler, R. Resel, M. G. Ramsey, L. Kronik, and P. Puschnig, Experimental and theoretical electronic structure of quinacridone, Phys. Rev. B 90, 075204 (2014).
- S. Refaely-Abramson, M. Jain, S. Sharifzadeh, J. B. Neaton, and L. Kronik, Solid-state optical absorption from optimally tuned time-dependent range-separated hybrid density functional theory, Phys. Rev. B 92, 081204(R) (2015).
- J. Zhan, M. Govoni, and G. Galli, Dielectric-dependent range-separated hybrid functional calculations for metal oxides, Phys. Rev. Mater. 9, 053808 (2025).
- H. Zheng, M. Govoni, and G. Galli, Dielectric-dependent hybrid functionals for heterogeneous materials, Phys. Rev. Mater. 3, 073803 (2019).
- J. Zhan, M. Govoni, and G. Galli, Nonempirical range-separated hybrid functional with spatially dependent screened exchange, J. Chem. Theory Comput. 19, 5851 (2023).
- W. Chen, G. Miceli, G.-M. Rignanese, and A. Pasquarello, Nonempirical dielectric-dependent hybrid functional with range separation for semiconductors and insulators, Phys. Rev. Mater. 2, 073803 (2018).
- S. Jana, A. Bhattacharjee, S. Mahakal, S. Śmiga, and P. Samal, Meta-GGA dielectric-dependent and range-separated screened hybrid functional for reliable prediction of material properties, Phys. Rev. B 111, 115125 (2025).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- J. P. Perdew, M. Ernzerhof, and K. Burke, Rationale for mixing exact exchange with density functional approximations, J. Chem. Phys. 105, 9982 (1996).
- J. Heyd, G. E. Scuseria, and M. Ernzerhof, Erratum: Hybrid functionals based on a screened Coulomb potential [J. Chem. Phys. 118, 8207 (2003)], J. Chem. Phys. 124, 219906 (2006).
- T. Stein, H. Eisenberg, L. Kronik, and R. Baer, Fundamental gaps in finite systems from eigenvalues of a generalized Kohn-Sham method, Phys. Rev. Lett. 105, 266802 (2010).
- S. Refaely-Abramson, R. Baer, and L. Kronik, Fundamental and excitation gaps in molecules of relevance for organic photovoltaics from an optimally tuned range-separated hybrid functional, Phys. Rev. B 84, 075144 (2011).
- J. Autschbach and M. Srebro, Delocalization error and functional tuning in Kohn-Sham calculations of molecular properties, Acc. Chem. Res. 47, 2592 (2014).
- H. Phillips, Z. Zheng, E. Geva, and B. D. Dunietz, Orbital gap predictions for rational design of organic photovoltaic materials, Org. Electron. 15, 1509 (2014).
- M. E. Foster, J. D. Azoulay, B. M. Wong, and M. D. Allendorf, Novel metal-organic framework linkers for light harvesting applications, Chem. Sci. 5, 2081 (2014).
- T. Körzdörfer and J.-L. Brédas, Organic electronic materials: Recent advances in the DFT description of the ground and excited states using tuned range-separated hybrid functionals, Acc. Chem. Res. 47, 3284 (2014).
- C. Faber, P. Boulanger, C. Attaccalite, I. Duchemin, and X. Blase, Excited states properties of organic molecules: From density functional theory to the and Bethe–Salpeter Green's function formalisms, Philos. Trans. R. Soc. A 372, 20130271 (2014).
- M. Alipour and S. Mohseni, Shedding light on the accuracy of optimally tuned range-separated approximations for evaluating oxidation potentials, J. Phys. Chem. A 121, 4189 (2017).
- L. Kronik and J. B. Neaton, Excited-state properties of molecular solids from first principles, Annu. Rev. Phys. Chem. 67, 587 (2016).
- S. Bhandari, M. S. Cheung, E. Geva, L. Kronik, and B. D. Dunietz, Fundamental gaps of condensed-phase organic semiconductors from single-molecule calculations using polarization-consistent optimally tuned screened range-separated hybrid functionals, J. Chem. Theory Comput. 14, 6287 (2018).
- L. Kronik and S. Kümmel, Dielectric screening meets optimally tuned density functionals, Adv. Mater. 30, 1706560 (2018).
- V. Coropceanu, X.-K. Chen, T. Wang, Z. Zheng, and J.-L. Brédas, Charge-transfer electronic states in organic solar cells, Nat. Rev. Mater. 4, 689 (2019).
- L. R. Franco, C. Marchiori, and C. M. Araujo, Unveiling the impact of exchange-correlation functionals on the description of key electronic properties of non-fullerene acceptors in organic photovoltaics, J. Chem. Phys. 159, 204110 (2023).
- M. Hartstein, G. Ohad, and L. Kronik, Predicting the color polymorphism of ROY from a time-dependent optimally tuned screened range-separated hybrid functional, J. Chem. Theory Comput. 20, 5510 (2024).
- P. Mori-Sánchez, A. J. Cohen, and W. Yang, Localization and delocalization errors in density functional theory and implications for band-gap prediction, Phys. Rev. Lett. 100, 146401 (2008).
- E. Kraisler and L. Kronik, Fundamental gaps with approximate density functionals: The derivative discontinuity revealed from ensemble considerations, J. Chem. Phys. 140, 18A540 (2014).
- V. Vlček, H. R. Eisenberg, G. Steinle-Neumann, L. Kronik, and R. Baer, Deviations from piecewise linearity in the solid-state limit with approximate density functionals, J. Chem. Phys. 142, 034107 (2015).
- A. Görling, Exchange-correlation potentials with proper discontinuities for physically meaningful Kohn-Sham eigenvalues and band structures, Phys. Rev. B 91, 245120 (2015).
- J. F. Janak, Proof that in density-functional theory, Phys. Rev. B 18, 7165 (1978).
- J. Ma and L.-W. Wang, Using Wannier functions to improve solid band gap predictions in density functional theory, Sci. Rep. 6, 24924 (2016).
- G. Ohad, M. Camarasa-Gómez, J. B. Neaton, A. Ramasubramaniam, T. Gould, and L. Kronik, Foundations of the ionization potential condition for localized electron removal in density functional theory, Phys. Rev. Lett. 136, 026401 (2026).
- G. Makov and M. C. Payne, Periodic boundary conditions in ab initio calculations, Phys. Rev. B 51, 4014 (1995).
- N. Marom, O. Hod, G. E. Scuseria, and L. Kronik, Electronic structure of copper phthalocyanine: A comparative density functional theory study, J. Chem. Phys. 128, 164107 (2008).
- D. A. Egger, S. Weissman, S. Refaely-Abramson, S. Sharifzadeh, M. Dauth, R. Baer, S. Kümmel, J. B. Neaton, E. Zojer, and L. Kronik, Outer-valence electron spectra of prototypical aromatic heterocycles from an optimally tuned range-separated hybrid functional, J. Chem. Theory Comput. 10, 1934 (2014).
- I. E. Brumboiu, G. Prokopiou, L. Kronik, and B. Brena, Valence electronic structure of cobalt phthalocyanine from an optimally tuned range-separated hybrid functional, J. Chem. Phys. 147, 044301 (2017).
- S. Weissman, M. Antkowiak, B. Brzostowski, G. Kamieniarz, and L. Kronik, Accurate magnetic couplings in chromium-based molecular rings from broken-symmetry calculations within density functional theory, J. Chem. Theory Comput. 15, 4885 (2019).
- 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).
- G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999).
- K. H. Stone, M. R. Cosby, N. A. Strange, V. Thampy, R. C. Walroth, and C. Troxel, Jr., Remote and automated high-throughput powder diffraction measurements enabled by a robotic sample changer at SSRL beamline 2-1, J. Appl. Crystallogr. 56, 1480 (2023).
- S. Sasaki, K. Fujino, and Y. Takéuchi, X-ray determination of electron-density distributions in oxides, MgO, MnO, CoO, and NiO, and atomic scattering factors of their constituent atoms, Proc. Jpn. Acad. Ser. B 55, 43 (1979).
- R. L. Blake, R. E. Hessevick, T. Zoltai, and L. W. Finger, Refinement of the hematite structure, Am. Mineral.: J. Earth Planet. Mater. 51, 123 (1966).
- P. Fabrykiewicz, R. Przeniosło, I. Sosnowska, and F. Fauth, Positive and negative monoclinic deformation of corundum-type trigonal crystal structures of metal oxides, Acta Crystallogr. B Struct. Sci. Cryst. Eng. Mater. 74, 660 (2018).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/126j-3fts for computational details and further analysis, which includes Refs. [130, 131].
- M. Camarasa-Gómez, S. E. Gant, G. Ohad, J. B. Neaton, A. Ramasubramaniam, and L. Kronik, Excitations in layered materials from a non-empirical Wannier-localized optimally-tuned screened range-separated hybrid functional, npj Comput. Mater. 10, 288 (2024).
- R. Logemann, A. Rudenko, M. Katsnelson, and A. Kirilyuk, Exchange interactions in transition metal oxides: The role of oxygen spin polarization, J. Phys.: Condens. Matter 29, 335801 (2017).
- C. Franchini, R. Podloucky, J. Paier, M. Marsman, and G. Kresse, Ground-state properties of multivalent manganese oxides: Density functional and hybrid density functional calculations, Phys. Rev. B 75, 195128 (2007).
- E. Kurmaev, R. Wilks, A. Moewes, L. Finkelstein, S. Shamin, and J. Kuneš, Oxygen x-ray emission and absorption spectra as a probe of the electronic structure of strongly correlated oxides, Phys. Rev. B 77, 165127 (2008).
- J. van Elp, R. H. Potze, H. Eskes, R. Berger, and G. A. Sawatzky, Electronic structure of MnO, Phys. Rev. B 44, 1530 (1991).
- R. Zimmermann, P. Steiner, R. Claessen, F. Reinert, S. Hüfner, P. Blaha, and P. Dufek, Electronic structure of -transition-metal oxides: On-site Coulomb repulsion versus covalency, J. Phys.: Condens. Matter 11, 1657 (1999).
- A. Cheetham and D. Hope, Magnetic ordering and exchange effects in the antiferromagnetic solid solutions , Phys. Rev. B 27, 6964 (1983).
- G. Sawatzky and J. Allen, Magnitude and origin of the band gap in NiO, Phys. Rev. Lett. 53, 2339 (1984).
- H. A. Alperin, The magnetic form factor of nickel oxide, J. Phys. Soc. Jpn. Suppl. B 17, 12 (1962).
- All results reported in this article are quoted values from the literature, provided for comparison. In all cases, numerical values used by the original authors are given. Further details as to their determination can be found in the original articles.
- F. de Groot. and A. Kotani, Core level Spectroscopy of Solids (CRC Press, Boca Raton, FL, 2008).
- S. Suga and A. Sekiyama, Photoelectron Spectroscopy: Bulk and Surface Electronic Structures (Springer, Berlin, Heidelberg, 2013).
- S. E. Gant, J. B. Haber, M. R. Filip, F. Sagredo, D. Wing, G. Ohad, L. Kronik, and J. B. Neaton, Optimally tuned starting point for single-shot calculations of solids, Phys. Rev. Mater. 6, 053802 (2022).
- M. Shishkin and G. Kresse, Self-consistent calculations for semiconductors and insulators, Phys. Rev. B 75, 235102 (2007).
- M. Shishkin, M. Marsman, and G. Kresse, Accurate quasiparticle spectra from self-consistent calculations with vertex corrections, Phys. Rev. Lett. 99, 246403 (2007).
- M. Grumet, P. Liu, M. Kaltak, J. Klimeš, and G. Kresse, Beyond the quasiparticle approximation: Fully self-consistent calculations, Phys. Rev. B 98, 155143 (2018).
- It should be noted that an unquenched orbital moment of approximately 0.3 has been experimentally observed in NiO [132]. This additional orbital contribution arises from spin-orbit coupling, which is not included in the present HSE06 and WOT-SRSH calculations.
- J. Plendl, L. Mansur, S. Mitra, and I. Chang, Restsrahlen spectrum of MnO, Solid State Commun. 7, 109 (1969).
- P. J. Gielisse, J. Plendl, L. Mansur, R. Marshall, S. Mitra, R. Mykolajewycz, and A. Smakula, Infrared properties of NiO and CoO and their mixed crystals, J. Appl. Phys. 36, 2446 (1965).
- Z.-X. Shen, R. S. List, D. S. Dessau, B. O. Wells, O. Jepsen, A. J. Arko, R. Barttlet, C. K. Shih, F. Parmigiani, J. C. Huang, and P. A. P. Lindberg, Electronic structure of NiO: Correlation and band effects, Phys. Rev. B 44, 3604 (1991).
- D. Wing, J. B. Haber, R. Noff, B. Barker, D. A. Egger, A. Ramasubramaniam, S. G. Louie, J. B. Neaton, and L. Kronik, Comparing time-dependent density functional theory with many-body perturbation theory for semiconductors: Screened range-separated hybrids and the plus Bethe-Salpeter approach, Phys. Rev. Mater. 3, 064603 (2019).
- M. E. Casida, in Recent Advances in Density Functional Methods Part I, edited by D. P. Chong (World Scientific, Singapore, 1995), Chap. 5, pp. 155–192.
- S. Hirata and M. Head-Gordon, Time-dependent density functional theory within the Tamm–Dancoff approximation, Chem. Phys. Lett. 314, 291 (1999).
- C. Ullrich, Time-Dependent Density-Functional Theory: Concepts and Applications (Oxford University Press, Oxford, UK, 2011).
- Y. Tezuka, S. Shin, T. Ishii, T. Ejima, S. Suzuki, and S. Sato, Photoemission and bremsstrahlung isochromat spectroscopy studies of (rutile) and , J. Phys. Soc. Jpn. 63, 347 (1994).
- L. Messick, W. Walker, and R. Glosser, Direct and temperature-modulated reflectance spectra of MnO, CoO, and NiO, Phys. Rev. B 6, 3941 (1972).
- R. Powell and W. Spicer, Optical properties of NiO and CoO, Phys. Rev. B 2, 2182 (1970).
- R. M. White, Quantum Theory of Magnetism (Springer, Berlin, Heidelberg, 2007).
- M. Kohgi, Y. Ishikawa, and Y. Endoh, Inelastic neutron scattering study of spin waves in MnO, Solid State Commun. 11, 391 (1972).
- M. Lines and E. Jones, Antiferromagnetism in the face-centered cubic lattice. II. Magnetic properties of MnO, Phys. Rev. 139, A1313 (1965).
- M. T. Hutchings and E. Samuelsen, Measurement of spin-wave dispersion in NiO by inelastic neutron scattering and its relation to magnetic properties, Phys. Rev. B 6, 3447 (1972).
- R. Shanker and R. Singh, Analysis of the exchange parameters and magnetic properties of NiO, Phys. Rev. B 7, 5000 (1973).
- L. Pauling and S. B. Hendricks, The crystal structures of hematite and corundum, J. Am. Chem. Soc. 47, 781 (1925).
- F. Morin, Electrical properties of and containing titanium, Phys. Rev. 83, 1005 (1951).
- P. Flanders and J. Remeika, Magnetic properties of hematite single crystals, Philos. Mag. 11, 1271 (1965).
- L. Sandratskii, M. Uhl, and J. Kübler, Band theory for electronic and magnetic properties of , J. Phys.: Condens. Matter 8, 983 (1996).
- L. Šmejkal, J. Sinova, and T. Jungwirth, Beyond conventional ferromagnetism and antiferromagnetism: A phase with nonrelativistic spin and crystal rotation symmetry, Phys. Rev. X 12, 031042 (2022).
- K. Iwauchi, S. Yamamoto, Y. Bando, T. Hanai, N. Koizumi, T. Takada, and S. Fukushima, Dielectric properties of the mixtures of and , Jpn. J. Appl. Phys. 10, 1513 (1971).
- S. Onari, T. Arai, and K. Kudo, Infrared lattice vibrations and dielectric dispersion in , Phys. Rev. B 16, 1717 (1977).
- C. Chen and B. Cahan, Visible and ultraviolet optical properties of single-crystal and polycrystalline hematite measured by spectroscopic ellipsometry, J. Opt. Soc. Am. 71, 932 (1981).
- V. Baron, J. Gutzmer, H. Rundlöf, and R. Tellgren, Neutron powder diffraction study of Mn-bearing hematite, , in the range , Solid State Sci. 7, 753 (2005).
- A. H. Hill, F. Jiao, P. G. Bruce, A. Harrison, W. Kockelmann, and C. Ritter, Neutron diffraction study of mesoporous and bulk hematite, , Chem. Mater. 20, 4891 (2008).
- X. Verbeek, D. Voderholzer, S. Schären, Y. Gachnang, N. Spaldin, and S. Bhowal, Nonrelativistic ferromagnetotriakontadipolar order and spin splitting in hematite, Phys. Rev. Res. 6, 043157 (2024).
- S. Piccinin, The band structure and optical absorption of hematite (): A first-principles GW-BSE study, Phys. Chem. Chem. Phys. 21, 2957 (2019).
- B. Gilbert, C. Frandsen, E. R. Maxey, and D. M. Sherman, Band-gap measurements of bulk and nanoscale hematite by soft x-ray spectroscopy, Phys. Rev. B 79, 035108 (2009).
- A. Rohrbach, J. Hafner, and G. Kresse, Ab initio study of the (0001) surfaces of hematite and chromia: Influence of strong electronic correlations, Phys. Rev. B 70, 125426 (2004).
- S. Shi, A. L. Wysocki, and K. D. Belashchenko, Magnetism of chromia from first-principles calculations, Phys. Rev. B 79, 104404 (2009).
- S. Dabaghmanesh, R. Saniz, E. Neyts, and B. Partoens, Sulfur-alloyed : A new p-type transparent conducting oxide host, RSC Adv. 7, 4453 (2017).
- R. Zimmermann, P. Steiner, and S. Hüfner, Electron spectroscopies and partial excitation spectra in , in Proceedings of the 11th International Conference on Vacuum Ultraviolet Radiation Physics (Elsevier, Amsterdam, 1996), pp. 49–52.
- P. J. Brown, J. B. Forsyth, E. Lelièvre-Berna, and F. Tasset, Determination of the magnetization distribution in using spherical neutron polarimetry, J. Phys.: Condens. Matter 14, 1957 (2002).
- L. Corliss, J. Hastings, R. Nathans, and G. Shirane, Magnetic structure of , J. Appl. Phys. 36, 1099 (1965).
- A. Galuza, V. Eremenko, and A. Kirichenko, Kramers-Kronig analysis of reflection spectra of hematite, Sov. Phys. Sol. State 21, 654 (1979).
- T. Uozumi, K. Okada, A. Kotani, R. Zimmermann, P. Steiner, S. Hüfner, Y. Tezuka, and S. Shin, Theoretical and experimental studies on the electronic structure of (M = Ti, V, Cr, Mn, Fe) compounds by systematic analysis of high-energy spectroscopy, J. Electron Spectrosc. Relat. Phenom. 83, 9 (1997).
- T. Allos, R. Birss, M. Parker, E. Ellis, and D. Johnson, Ultraviolet absorption spectrum of from reflectivity measurements, Solid State Commun. 24, 129 (1977).
- C. Rödl, F. Fuchs, J. Furthmüller, and F. Bechstedt, Quasiparticle band structures of the antiferromagnetic transition-metal oxides MnO, FeO, CoO, and NiO, Phys. Rev. B 79, 235114 (2009).
- G. Pizzi, V. Vitale, R. Arita, S. Blügel, F. Freimuth, G. Géranton, M. Gibertini, D. Gresch, C. Johnson, T. Koretsune, J. Ibañez-Azpiroz, H. Lee, J.-M. Lihm, D. Marchand, A. Marrazzo, Y. Mokrousov, J. I. Mustafa, Y. Nohara, Y. Nomura, L. Paulatto, et al., Wannier90 as a community code: New features and applications, J. Phys.: Condens. Matter 32, 165902 (2020).
- W. Neubeck, C. Vettier, V. Fernandez, F. de Bergevin, and C. Giles, Observation of orbital moment in NiO using magnetic x-ray scattering, J. Appl. Phys. 85, 4847 (1999).