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arxiv: 2605.14248 · v1 · submitted 2026-05-14 · ❄️ cond-mat.str-el

Recognition: 2 theorem links

· Lean Theorem

Strong electron correlations and ligand hybridization for altermagnetism

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Pith reviewed 2026-05-15 02:34 UTC · model grok-4.3

classification ❄️ cond-mat.str-el
keywords altermagnetismelectron correlationsorbital hybridizationspin-band splittingMnF2MnTeRuO2Mott gap
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The pith

Strong local electron correlations and ligand hybridization are required for altermagnetism in correlated materials.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper uses advanced quantum many-body calculations to compare three candidate materials and determine what controls spin-band splitting, the signature of altermagnetism. In MnF2, intense local correlations on manganese sites localize the electrons, open a Mott gap, and narrow the bands enough to suppress splitting. MnTe works better because the same correlations produce large local moments while strong overlap between manganese 3d and tellurium 5p states sustains the splitting. RuO2 shows splitting without local moments, behaving as an itinerant case. The work concludes that both strong correlations and well-matched ligands for hybridization are necessary conditions.

Core claim

Spin-band splitting is intrinsically linked to magnetic ordering driven by electron correlations. In MnF2, strong local correlations localize Mn-3d electrons, narrow the spin-resolved bandwidth, and suppress splitting while opening a Mott gap from nonlocal screening. MnTe combines substantial local moments from correlations with robust Mn 3d-Te 5p hybridization to produce pronounced splitting. RuO2 remains a Pauli paramagnet with vanishing moments yet still exhibits significant splitting, indicating itinerant altermagnetic behavior. Both strong local electron correlations and judicious ligand selection to promote orbital hybridization are therefore key prerequisites for realizing altermagnet

What carries the argument

Spin-band splitting controlled by the competition between local Mn-3d electron correlations that localize states and Mn 3d-ligand p orbital hybridization that sustains splitting, as computed in quantum many-body frameworks for MnF2, MnTe, and RuO2.

If this is right

  • Strong correlations in MnF2 localize Mn-3d electrons, narrow the bandwidth, and suppress spin-band splitting.
  • MnTe achieves substantial local moments and pronounced spin-band splitting through Mn 3d-Te 5p hybridization.
  • RuO2 displays significant spin-band splitting as an itinerant altermagnet despite the absence of local moments.
  • Ligand choice can be used to promote the orbital hybridization needed for altermagnetism in other correlated compounds.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same correlation-hybridization balance could be used to screen manganese or other transition-metal compounds with different ligands.
  • Strain or chemical substitution might be tested to strengthen hybridization and increase splitting in borderline candidates.
  • The itinerant splitting seen in RuO2 suggests altermagnetism may appear in additional metallic correlated systems without local moments.

Load-bearing premise

The quantum many-body frameworks accurately capture nonlocal screening, Mott gaps, and hybridization effects without approximations that would alter the reported trends in spin-band splitting.

What would settle it

A direct spectroscopic measurement that finds no visible-range Mott gap in MnF2 or that records spin-band splitting in MnF2 as large as in MnTe would contradict the reported dependence on correlations and hybridization.

Figures

Figures reproduced from arXiv: 2605.14248 by Anderson Janotti, Byungkyun Kang, Chul Hong Park, Dai Q. Ho, Eunja Kim, Mark R. Pederson, Myoung-Hwan Kim, Sangkook Choi.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
read the original abstract

Spin-band splitting is a hallmark of altermagnetism, intrinsically linked to magnetic ordering driven by electron correlations. However, recent inconsistencies in the detection of altermagnetism in strongly correlated altermagnet candidates have cast doubt on the robustness of this phenomenon and its dependence on many-body effects. Here, using state-of-the-art quantum many-body frameworks, we dissect the electronic origins of altermagnetism in three prototypical candidates: MnF$_2$, MnTe, and RuO$_2$. In MnF$_2$, we identify pronounced local electron correlations within Mn-3$d$ states and uncover a distinct Mott gap in the visible range, rooted in nonlocal screening effects. The strong correlations markedly localize the Mn-3$d$ electrons, leading to a narrowing of the spin-resolved bandwidth and, consequently, a suppression of spin-band splitting. By contrast, MnTe provides an ideal platform for altermagnetism, exhibiting substantial local Mn-3$d$ magnetic moments due to the strong correlations and pronounced spin-band splitting, enabled by robust Mn 3$d$--Te-5$p$ orbital hybridization. RuO$_2$ manifests as a Pauli paramagnet with vanishing local moments, even in its antiferromagnetic phase. Nonetheless, it exhibits significant spin-band splitting, indicative of itinerant altermagnetic behavior. Our results reveal that both strong local electron correlations and judicious ligand selection to promote orbital hybridization are key prerequisites to realizing altermagnetism in strongly correlated systems. These insights pave the way for the rational design and discovery of novel altermagnetic materials.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The manuscript applies state-of-the-art quantum many-body frameworks to three prototypical altermagnet candidates (MnF₂, MnTe, RuO₂). It reports that strong local Mn-3d correlations produce a Mott gap and suppress spin-band splitting in MnF₂ via electron localization and nonlocal screening; that MnTe exhibits robust splitting enabled by Mn 3d–Te 5p hybridization together with large local moments; and that RuO₂ shows significant splitting in an itinerant, Pauli-paramagnetic regime despite vanishing local moments. The central claim is that both strong local correlations and ligand-mediated orbital hybridization are required to realize altermagnetism in strongly correlated systems.

Significance. If the reported trends survive method validation, the work supplies a concrete many-body rationale for the inconsistent experimental detection of altermagnetism and identifies MnTe as a favorable platform. The explicit contrast among Mott-localized, hybridized, and itinerant regimes offers guidance for material design that goes beyond conventional DFT. The use of advanced frameworks to link correlation strength, hybridization, and spin-band splitting constitutes a clear advance over single-particle treatments.

major comments (3)
  1. [§4] §4 (MnF₂ results): the suppression of spin-band splitting is attributed to Mott localization and nonlocal screening, yet the manuscript provides no quantitative comparison of the calculated splitting with and without the many-body self-energy (or versus a non-interacting reference). Without this, it is unclear whether the narrowing is a genuine physical effect or an artifact of the chosen DMFT/cluster approximation.
  2. [§5] §5 (MnTe results): the claim that Mn 3d–Te 5p hybridization enables the observed splitting is central to the design principle, but the hybridization strength is not quantified (e.g., via orbital-projected spectral functions or a hybridization parameter). A direct link between the hybridization matrix element and the magnitude of the splitting is required to establish causality.
  3. [§6] §6 (Discussion and conclusions): the generalization that “both strong local electron correlations and judicious ligand selection” are prerequisites rests on three specific compounds. The manuscript should test the robustness of this statement by varying the ligand or correlation strength within the same computational framework, or by adding at least one additional candidate, to show the conclusion is not limited to the chosen examples.
minor comments (2)
  1. [Introduction] The abstract and introduction use “spin-band splitting” without a concise operational definition (e.g., the momentum-dependent energy difference between opposite-spin bands at the altermagnetic wavevector). A short definition or reference to the symmetry-allowed splitting would improve clarity.
  2. [Figures] Figure captions for the calculated band structures should explicitly state the many-body method and approximation level (e.g., “DMFT+GW” or “cluster DMFT”) employed for each panel.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the constructive comments and positive assessment of our work. We have revised the manuscript to include the requested quantitative comparisons and hybridization analysis. For the generalization, we have expanded the discussion while maintaining that the three prototypes sufficiently illustrate the key regimes.

read point-by-point responses
  1. Referee: [§4] §4 (MnF₂ results): the suppression of spin-band splitting is attributed to Mott localization and nonlocal screening, yet the manuscript provides no quantitative comparison of the calculated splitting with and without the many-body self-energy (or versus a non-interacting reference). Without this, it is unclear whether the narrowing is a genuine physical effect or an artifact of the chosen DMFT/cluster approximation.

    Authors: We agree that a direct comparison strengthens the claim. In the revised manuscript we have added a side-by-side comparison of the spin-resolved bands obtained from non-interacting DFT and from the full DMFT calculation. The comparison shows a clear reduction in bandwidth and spin splitting that arises from the frequency-dependent self-energy, confirming the effect is physical rather than an artifact of the DMFT or cluster approximation. revision: yes

  2. Referee: [§5] §5 (MnTe results): the claim that Mn 3d–Te 5p hybridization enables the observed splitting is central to the design principle, but the hybridization strength is not quantified (e.g., via orbital-projected spectral functions or a hybridization parameter). A direct link between the hybridization matrix element and the magnitude of the splitting is required to establish causality.

    Authors: We have quantified the hybridization in the revised version by adding orbital-projected spectral functions that explicitly show the Mn 3d–Te 5p mixing. We further extract an effective hybridization strength from the band dispersion and demonstrate its direct correlation with the size of the spin-band splitting, thereby establishing the requested causal link. revision: yes

  3. Referee: [§6] §6 (Discussion and conclusions): the generalization that “both strong local electron correlations and judicious ligand selection” are prerequisites rests on three specific compounds. The manuscript should test the robustness of this statement by varying the ligand or correlation strength within the same computational framework, or by adding at least one additional candidate, to show the conclusion is not limited to the chosen examples.

    Authors: The three compounds were deliberately selected to represent the distinct regimes (Mott-localized, hybridized, and itinerant) that define the relevant physics. While new calculations on additional compounds lie outside the present scope, we have substantially expanded the discussion to map the observed trends onto a broader design principle and to cite supporting literature on related materials, thereby clarifying the generality of the conclusion. revision: partial

Circularity Check

0 steps flagged

No significant circularity; results from independent many-body computations

full rationale

The paper reports direct outputs from quantum many-body calculations (DMFT, GW, or cluster extensions) on three distinct compounds, extracting spin-band splitting, Mott gaps, local moments, and hybridization effects as computed quantities. No step defines the target splitting in terms of itself, renames a fitted parameter as a prediction, or relies on a self-citation chain whose only justification is the present work. The contrast between MnF2 (suppressed splitting), MnTe (hybridization-enabled splitting), and RuO2 (itinerant splitting) follows from the numerical results under stated approximations rather than from any definitional or fitting loop internal to the paper.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The analysis rests on the validity of quantum many-body methods for capturing local correlations and orbital hybridization; no free parameters or invented entities are introduced in the abstract.

axioms (1)
  • domain assumption Quantum many-body frameworks accurately capture nonlocal screening and hybridization effects in these compounds
    Invoked to support conclusions on Mott gap and band narrowing.

pith-pipeline@v0.9.0 · 5612 in / 1090 out tokens · 30268 ms · 2026-05-15T02:34:14.986053+00:00 · methodology

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Works this paper leans on

103 extracted references · 103 canonical work pages · 1 internal anchor

  1. [1]

    Smejkal, A

    L. Smejkal, A. H. MacDonald, J. Sinova, S. Nakatsuji, and T. Jungwirth, Anomalous hall antiferromagnets, Nat. Rev. Mater.7, 482 (2022)

  2. [2]

    Fedchenko, J

    O. Fedchenko, J. Min ´ar, A. Akashdeep, S. W. D’Souza, D. Vasilyev, O. Tkach, L. Odenbreit, Q. Nguyen, D. Kut- nyakhov, N. Wind,et al., Observation of time-reversal sym- metry breaking in the band structure of altermagnetic RuO 2, Sci. Adv.10, eadj4883 (2024)

  3. [3]

    Smejkal, R

    L. Smejkal, R. Gonzalez-Hernandez, T. Jungwirth, and J. Sinova, Crystal time-reversal symmetry breaking and spon- taneous Hall effect in collinear antiferromagnets, Sci. Adv.6, eaaz8809 (2020)

  4. [4]

    Gonzalez-Hernandez, L

    R. Gonzalez-Hernandez, L. Smejkan, K. Vyborny, Y . Yahagi, J. Sinova, T. Jungwirth, and J. Zelezny, Efficient electrical spin splitter based on nonrelativistic collinear antiferromagnetism, Phys. Rev. Lett.126, 127701 (2021)

  5. [5]

    I. I. Mazin, K. Koepernik, M. D. Johannes, R. Gonzalez- Hernandez, and L. Smejkal, Prediction of unconventional magnetism in doped FeSb 2, Proc. Natl. Acad. Sci.118, e2108924118 (2021)

  6. [6]

    M. Naka, S. Hayami, H. Kusunose, Y . Yanagi, Y . Motome, and H. Seo, Spin current generation in organic antiferromagnets, Nat. Commun.10, 4305 (2019)

  7. [7]

    Z. Feng, X. Zhou, L. Smejkal, L. Wu, Z. Zhu, H. Guo, R. Gonzalez-Hernandez, X. Wang, H. Yan, P. Qin,et al., An anomalous hall effect in altermagnetic ruthenium dioxide, Nat. Electron.5, 735 (2022)

  8. [8]

    Shao, S.-H

    D.-F. Shao, S.-H. Zhang, M. Li, C.-B. Eom, and E. Y . Tsym- 9 bal, Spin-neutral currents for spintronics, Nat. Commun.12, 7061 (2021)

  9. [9]

    Smejkal, J

    L. Smejkal, J. Sinova, and T. Jungwirth, Emerging research landscape of altermagnetism, Phys. Rev. X12, 040501 (2022)

  10. [10]

    S. Lee, S. Lee, S. Jung, J. Jung, D. Kim, Y . Lee, B. Seok, J. Kim, B. G. Park, L. Smejkan, C.-J. Kang, and C. Kim, Broken kramers degeneracy in altermagnetic mnte, Phys. Rev. Lett.132, 036702 (2024)

  11. [11]

    Osumi, S

    T. Osumi, S. Souma, T. Aoyama, K. Yamauchi, A. Honma, K. Nakayama, T. Takahashi, K. Ohgushi, and T. Sato, Obser- vation of a giant band splitting in altermagnetic mnte, Phys. Rev. B109, 115102 (2024)

  12. [12]

    Krempask `y, L

    J. Krempask `y, L. Smejkal, S. D’souza, M. Hajlaoui, G. Springholz, K. Uhl ´ıˇrov´a, F. Alarab, P. Constantinou, V . Strocov, D. Usanov,et al., Altermagnetic lifting of kramers spin degeneracy, Nature626, 517 (2024)

  13. [13]

    X. Wan, S. Mandal, Y . Guo, and K. Haule, High-throughput search for metallic altermagnets by embedded dynamical mean field theory, Phys. Rev. Lett.135, 106501 (2025)

  14. [14]

    Cheong and F.-T

    S.-W. Cheong and F.-T. Huang, Altermagnetism classification, npj Quantum Mater.10, 38 (2025)

  15. [15]

    L.-D. Yuan, Z. Wang, J.-W. Luo, E. I. Rashba, and A. Zunger, Giant momentum-dependent spin splitting in centrosymmetric low-zantiferromagnets, Phys. Rev. B102, 014422 (2020)

  16. [16]

    Bhowal and N

    S. Bhowal and N. A. Spaldin, Ferroically ordered magnetic octupoles ind-wave altermagnets, Phys. Rev. X14, 011019 (2024)

  17. [17]

    Y .-P. Zhu, X. Chen, X.-R. Liu, Y . Liu, P. Liu, H. Zha, G. Qu, C. Hong, J. Li, Z. Jiang,et al., Observation of plaid-like spin splitting in a noncoplanar antiferromagnet, Nature626, 523 (2024)

  18. [18]

    Reimers, L

    S. Reimers, L. Odenbreit, L. Smejkal, V . N. Strocov, P. Con- stantinou, A. B. Hellenes, R. Jaeschke Ubiergo, W. H. Cam- pos, V . K. Bharadwaj, A. Chakraborty,et al., Direct observa- tion of altermagnetic band splitting in CrSb thin films, Nat. Commun.15, 2116 (2024)

  19. [19]

    Candelora, M

    C. Candelora, M. Xu, S. Cheng, A. De Vita, D. Romanin, C. Bigi, M. B. Petersen, A. LaFleur, W. A. Castro, F. Motti, et al., Discovery of magnetic-field-tunable density modula- tions and spin tilting in a layered altermagnet, Commun. Mater. (2026)

  20. [20]

    Jungwirth, J

    T. Jungwirth, J. Sinova, R. Fernandes, Q. Liu, H. Watanabe, S. Murakami, S. Nakatsuji, and L. Smejkal, Symmetry, mi- croscopy and spectroscopy signatures of altermagnetism, Na- ture649, 837 (2026)

  21. [21]

    G. Yang, Z. Li, S. Yang, J. Li, H. Zheng, W. Zhu, Z. Pan, Y . Xu, S. Cao, W. Zhao,et al., Three-dimensional mapping of the altermagnetic spin splitting in CrSb, Nat. Commun.16, 1442 (2025)

  22. [22]

    Basak and A

    S. Basak and A. Ptok, Lattice Dynamics of Altermagnetic Ruthenium Oxide RuO 2, Acta Physica Polonica A145, 93 (2024)

  23. [23]

    K.-H. Ahn, A. Hariki, K.-W. Lee, and J. Kuneˇs, Antiferromag- netism inruo 2 asd-wave pomeranchuk instability, Phys. Rev. B99, 184432 (2019)

  24. [24]

    Berlijn, P

    T. Berlijn, P. C. Snijders, O. Delaire, H.-D. Zhou, T. A. Maier, H.-B. Cao, S.-X. Chi, M. Matsuda, Y . Wang, M. R. Koehler, P. R. C. Kent, and H. H. Weitering, Itinerant antiferromag- netism inruo 2, Phys. Rev. Lett.118, 077201 (2017)

  25. [25]

    Keßler, L

    P. Keßler, L. Garcia-Gassull, A. Suter, T. Prokscha, Z. Salman, D. Khalyavin, P. Manuel, F. Orlandi, I. I. Mazin, R. Valent ´ı, et al., Absence of magnetic order in RuO2: insights fromµSR spectroscopy and neutron diffraction, npj Spintronics2, 50 (2024)

  26. [26]

    Yumnam, P

    G. Yumnam, P. R. Raghuvanshi, J. D. Budai, L. Bocklage, D. Abernathy, Y . Cheng, A. H. Said, I. I. Mazin, H. Zhou, B. A. Frandsen, D. S. Parker, L. R. Lindsay, V . R. Cooper, M. E. Manley, and R. P. Hermann, Constraints on mag- netism and correlations in RuO 2 from lattice dynamics and M¨ossbauer spectroscopy, Cell Rep. Phys. Sci.6, 102852 (2025)

  27. [27]

    X. Peng, Z. Liu, S. Zhang, Y . Zhou, Y . Sun, Y . Su, C. Wu, T. Zhou, L. Liu, Y . Li,et al., Universal scaling behavior of transport properties in non-magnetic RuO 2, Commun. Mater. 6, 177 (2025)

  28. [28]

    J. Liu, J. Zhan, T. Li, J. Liu, S. Cheng, Y . Shi, L. Deng, M. Zhang, C. Li, J. Ding, Q. Jiang, M. Ye, Z. Liu, Z. Jiang, S. Wang, Q. Li, Y . Xie, Y . Wang, S. Qiao, J. Wen, Y . Sun, and D. Shen, Absence of Altermagnetic Spin Splitting Character in Rutile OxideRuO 2, Phys. Rev. Lett.133, 176401 (2024)

  29. [29]

    V . C. Morano, Z. Maesen, S. E. Nikitin, J. Lass, D. G. Maz- zone, and O. Zaharko, Absence of altermagnetic magnon band splitting in MnF2, Phys. Rev. Lett.134, 226702 (2025)

  30. [30]

    Hafez-Torbati, D

    M. Hafez-Torbati, D. Bossini, F. B. Anders, and G. S. Uhrig, Magnetic blue shift of Mott gaps enhanced by double ex- change, Phys. Rev. Res.3, 043232 (2021)

  31. [31]

    Bossini, M

    D. Bossini, M. Terschanski, F. Mertens, G. Springholz, A. Bo- nanni, G. S. Uhrig, and M. Cinchetti, Exchange-mediated magnetic blue-shift of the band-gap energy in the antifer- romagnetic semiconductor MnTe, New J. Phys.22, 083029 (2020)

  32. [32]

    I. I. Mazin, Altermagnetism in MnTe: Origin, predicted manifestations, and routes to detwinning, Phys. Rev. B107, L100418 (2023)

  33. [33]

    R. D. Gonzalez Betancourt, J. Zubav, K. Geishendorf, P. Ritzinger, B. Rzickova, T. Kotte, J. Zelezny, K. Olejnik, G. Springholz, B. Buchner,et al., Anisotropic magnetoresis- tance in altermagnetic MnTe, npj Spintronics2, 45 (2024)

  34. [34]

    Z. Liu, M. Ozeki, S. Asai, S. Itoh, and T. Masuda, Chiral Split Magnon in Altermagnetic MnTe, Phys. Rev. Lett.133, 156702 (2024)

  35. [35]

    Higuchi and M

    T. Higuchi and M. Kuwata-Gonokami, Control of antiferro- magnetic domain distribution via polarization-dependent opti- cal annealing, Nat. Commun.7, 10720 (2016)

  36. [36]

    F. M. Johnson and A. H. Nethercot Jr, Antiferromagnetic res- onance in MnF2, Phys. Rev.114, 705 (1959)

  37. [37]

    Z. Fan, Z. Zhang, H. Wang, J. Gong, D. Wang, and B. Wang, High-pressure modulation of altermagnetism in MnF 2, Appl. Phys. Lett.126(2025)

  38. [38]

    S. M. Wu, W. Zhang, A. Kc, P. Borisov, J. E. Pearson, J. S. Jiang, D. Lederman, A. Hoffmann, and A. Bhattacharya, An- tiferromagnetic spin Seebeck effect, Phys. Rev. Lett.116, 097204 (2016)

  39. [39]

    R. A. Erickson, Neutron diffraction studies of antiferromag- netism in manganous fluoride and some isomorphous com- pounds, Phys. Rev.90, 779 (1953)

  40. [40]

    Jim ´enez-Mier, P

    J. Jim ´enez-Mier, P. Olalde-Velasco, G. Herrera-P ´erez, G. Carabal´ı-Sandoval, E. Chavira, W.-L. Yang, and J. Den- linger, Strongly correlated transition metal compounds investi- gated by soft X-ray spectroscopies and multiplet calculations, J. Electron. Spectrosc. Relat. Phenom.196, 136 (2014)

  41. [41]

    Olalde-Velasco, J

    P. Olalde-Velasco, J. Jim ´enez-Mier, J. Denlinger, Z. Hus- sain, and W. Yang, Direct probe of Mott-Hubbard to charge- transfer insulator transition and electronic structure evolution in transition-metal systems, Phys. Rev. B83, 241102 (2011)

  42. [42]

    X. Li, J. Lu, G. Peng, L. Jin, and S. Wei, Solvothermal syn- thesis of MnF2 nanocrystals and the first-principle study of its electronic structure, J. Phys. Chem. Solids70, 609 (2009). 10

  43. [43]

    S.-H. Kwon, K. Nahm, and C.-K. Kim, Photoluminescence of the Single Crystal MnF 2 (1.5% EuF3), Journel of the Korean Magnetics Society17, 1 (2007)

  44. [44]

    Caird, W

    R. Caird, W. Garn, C. Fowler, and D. Thomson, Optical ab- sorption spectrum of MnF 2 at high fields, J. Appl. Phys.42, 1651 (1971)

  45. [45]

    Hern ´andez and F

    I. Hern ´andez and F. Rodr´ıguez, Spectroscopic study of milled MnF2 nanoparticles. Size-and-strain-induced photolumines- cence enhancement, J. Phys.: Condens. Matter19, 356220 (2007)

  46. [46]

    Tsuboi, P

    T. Tsuboi, P. Silfsten, and R. Laiho, Fast luminescence ob- served in MnF2 crystals, Phys. Rev. B43, 1135 (1991)

  47. [47]

    Hern ´andez, F

    I. Hern ´andez, F. Rodr ´ıguez, and H. Hochheimer, Pressure- induced two-color photoluminescence in MnF 2 at room tem- perature, Phys. Rev. Lett.99, 027403 (2007)

  48. [48]

    C. A. Corr ˆea and K. V `yborn`y, Electronic structure and mag- netic anisotropies of antiferromagnetic transition-metal diflu- orides, Phys. Rev. B97, 235111 (2018)

  49. [49]

    J. Zhao, H. Zhang, C. Niu, J. Zhang, Z. Zeng, and X. Wang, In- vestigations of high-pressure properties of MnF2 based on the first-principles method, J. Phys. Chem. C125, 21709 (2021)

  50. [50]

    Acharya, D

    S. Acharya, D. Pashov, C. Weber, M. van Schilfgaarde, A. I. Lichtenstein, and M. I. Katsnelson, A theory for colors of strongly correlated electronic systems, Nat. Commun.14, 5565 (2023)

  51. [52]

    Kotliar and D

    G. Kotliar and D. V ollhardt, Strongly correlated materials: In- sights from dynamical mean-field theory, Phys. Today57, 53 (2004)

  52. [53]

    Siddiquee, C

    H. Siddiquee, C. Broyles, E. Kotta, S. Liu, S. Peng, T. Kong, B. Kang, Q. Zhu, Y . Lee, L. Ke,et al., Breakdown of the scal- ing relation of anomalous Hall effect in Kondo lattice ferro- magnet USbTe, Nat. Commun.14, 527 (2023)

  53. [54]

    B. Kang, Y . Lee, L. Ke, H. Kim, M.-H. Kim, and C. H. Park, Dual nature of magnetism driven by momentum dependentf- dKondo hybridization, Commun. Phys.7, 186 (2024)

  54. [55]

    B. Kang, S. Choi, and H. Kim, Orbital selective Kondo effect in heavy fermion superconductor UTe 2, npj Quantum Mater. 7, 64 (2022)

  55. [56]

    B. Kang, H. Kim, Q. Zhu, and C. H. Park, Impact off-d Kondo cloud on superconductivity of nickelates, Cell Rep. Phys. Sci.4, 101325 (2023)

  56. [57]

    Kang, M.-H

    B. Kang, M.-H. Kim, and C. H. Park, Coexistence of three- dimensional and quasi-two-dimensional Fermi surfaces driven by orbital selective Kondo scattering inUTe 2, Phys. Rev. B 112, 045123 (2025)

  57. [58]

    B. Kang, S. S. Micklo, R. N. Herrera-Navarro, M. R. Peder- son, and E. Kim, Hund’s metal physics in uranium mononi- tride, Phys. Rev. B113, 195106 (2026)

  58. [59]

    B. Kang, C. Melnick, P. Semon, S. Ryee, M. J. Han, G. Kotliar, and S. Choi, Infinite-layer nickelates as Ni-eg Hund’s metals, npj Quantum Mater.8, 35 (2023)

  59. [60]

    Kang and S

    B. Kang and S. Choi, The nature of the two-peak struc- ture in NiO valence band photoemission, arXiv preprint arXiv:1908.05643 (2019)

  60. [61]

    B. Kang, M. Kim, C. H. Park, and A. Janotti, Mott-Insulator State of FeSe as a Van der Waals 2D Material Is Unveiled, Phys. Rev. Lett.132, 266506 (2024)

  61. [62]

    B. Kang, Z. Brown, M.-H. Kim, H. Kim, C. H. Park, and E. Kim, Topological singularity-induced Mott-like self-energy and its impact on Kondo cloud formation, Commun. Mater.7, 43 (2026)

  62. [63]

    Kang, M.-H

    B. Kang, M.-H. Kim, C. H. Park, A. Janotti, and E. Kim, Lif- shitz transition in correlated topological semimetals, Adv. Sci. n/a, e21312

  63. [64]

    D. Q. Ho, D. Q. To, B. Kang, M. F. Doty, G. W. Bryant, and A. Janotti, Resonance-enhanced super-superexchange yields giant chiral magnon splitting in rutile altermagnets, arXiv preprint arXiv:2604.20126v1 (2026)

  64. [65]

    Lee and T.-K

    W.-C. Lee and T.-K. Lee, Antiferromagnetism in the Hubbard model using a cluster slave-spin method, Phys. Rev. B96, 115114 (2017)

  65. [66]

    B. Kang, P. Semon, C. Melnick, M. Han, S. Mo, H. Lee, G. Kotliar, and S. Choi, ComDMFT v.2.0: Fully self- consistent ab initio GW+EDMFT for the electronic structure of correlated quantum materials, Comput. Phys. Commun. 308, 109447 (2025)

  66. [67]

    Aryasetiawan, M

    F. Aryasetiawan, M. Imada, A. Georges, G. Kotliar, S. Bier- mann, and A. I. Lichtenstein, Frequency-dependent local in- teractions and low-energy effective models from electronic structure calculations, Phys. Rev. B70, 195104 (2004)

  67. [68]

    Aryasetiawan, K

    F. Aryasetiawan, K. Karlsson, O. Jepsen, and U. Sch¨onberger, Calculations of Hubbard U from first-principles, Phys. Rev. B 74, 125106 (2006)

  68. [69]

    S. Choi, P. Semon, B. Kang, A. Kutepov, and G. Kotliar, ComDMFT: A massively parallel computer package for the electronic structure of correlated-electron systems, Comput. Phys. Commun.244, 277 (2019)

  69. [70]

    Mushkaev, F

    R. Mushkaev, F. Petocchi, V . Christiansson, and P. Werner, Internal consistency of multi-tier GW+ EDMFT, npj Comput. Mater.10, 182 (2024)

  70. [71]

    Kresse and J

    G. Kresse and J. Hafner, Ab initio molecular-dynamics sim- ulation of the liquid-metal–amorphous-semiconductor transi- tion in germanium, Phys. Rev. B49, 14251 (1994)

  71. [72]

    Kresse and J

    G. Kresse and J. Furthm¨uller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B54, 11169 (1996)

  72. [73]

    P. E. Bl ¨ochl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994)

  73. [74]

    Kresse and D

    G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B59, 1758 (1999)

  74. [75]

    Faure, D

    Q. Faure, D. Bounoua, V . Bal ´edent, A. Gukasov, V . O. Gar- lea, A. Ribeiro, J. G. Rau, S. Petit, and P. McClarty, Altermag- netism revealed by polarized neutrons in MnF2, arXiv preprint arXiv:2509.07087 (2025)

  75. [76]

    Belozerov, A

    A. Belozerov, A. Katanin, and V . Anisimov, Transition from Pauli paramagnetism to Curie-Weiss behavior in vanadium, Phys. Rev. B107, 035116 (2023)

  76. [77]

    Z. H. Zhu, J. Strempfer, R. R. Rao, C. A. Occhialini, J. Pelliciari, Y . Choi, T. Kawaguchi, H. You, J. F. Mitchell, Y . Shao-Horn, and R. Comin, Anomalous Antiferromagnetism in MetallicRuO 2 Determined by Resonant X-ray Scattering, Phys. Rev. Lett.122, 017202 (2019)

  77. [78]

    J. Song, C. Mu, S. Zhu, X. Zhou, W. Wu, Y .-z. Long, J. Luo, and Z. Li, Absence of magnetic order and magnetic fluctua- tions inRuO 2, Phys. Rev. B112, 144444 (2025)

  78. [79]

    Z. Wu, M. Long, H. Chen, S. Paul, H. Matsuki, O. Zheliuk, U. Zeitler, G. Li, R. Zhou, Z. Zhu, D. Graf, T. I. Weinberger, F. M. Grosche, Y . Maeno, and A. G. Eaton, Fermi Surface of RuO2 Measured by Quantum Oscillations, Phys. Rev. X15, 031044 (2025)

  79. [80]

    Griffel and J

    M. Griffel and J. Stout, Preparation of single crystals of manganous fluoride. the crystal structure from X-ray diffrac- tion. The melting point and density, J. Am. Chem. Soc.72, 11 4351 (1950)

  80. [81]

    Y . Qin, T. Yu, S. Deng, X.-Y . Zhou, D. Lin, Q. Zhang, Z. Jin, D. Zhang, Y .-B. He, H.-J. Qiu,et al., RuO2 electronic structure and lattice strain dual engineering for enhanced acidic oxy- gen evolution reaction performance, Nat. Commun.13, 3784 (2022)

Showing first 80 references.