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arxiv: 2605.13559 · v1 · submitted 2026-05-13 · ❄️ cond-mat.mtrl-sci · cond-mat.str-el

Recognition: 2 theorem links

· Lean Theorem

Correlation-driven tunability of altermagnetism in RuO₂

Ina Park , DongWook Kim , Jisook Hong , Beomjoon Goh , Bo Gyu Jang
Authors on Pith no claims yet

Pith reviewed 2026-05-14 18:16 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci cond-mat.str-el
keywords dynamicalgroundmagneticstateconflictingcorrelationdmfteffects
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The pith

Dynamical correlations in RuO2 drive it close to the paramagnetic-altermagnetic boundary, rendering its magnetic state tunable by minimal strain and explaining experimental conflicts.

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

RuO2 has been proposed as a metallic altermagnet useful for fast, efficient spintronics, but experiments disagree on whether it is actually magnetic. Earlier density-functional calculations missed the time-dependent electron interactions. Adding dynamical mean-field theory accounts for these local correlations and produces spectra and optical conductivity that match measured data. The calculations show the material sits right at the edge between a non-magnetic and an altermagnetic state. Because it is so close to the boundary, even a tiny compression of half a percent is enough to push it into the altermagnetic phase. This sensitivity explains why different experiments reached opposite conclusions and identifies electron correlations as the main reason the magnetic state can be controlled so easily.

Core claim

dynamical correlation effects are the key driving force behind the highly tunable magnetic ground state of RuO₂; even a minimal compressive strain of ∼0.5% is sufficient to drive the system into an altermagnetic phase.

Load-bearing premise

The specific values chosen for the local Hubbard interaction and Hund's coupling in the DMFT impurity solver accurately locate RuO2 near the paramagnetic-altermagnetic boundary without post-hoc adjustment that would move the system across the transition.

Figures

Figures reproduced from arXiv: 2605.13559 by Beomjoon Goh, Bo Gyu Jang, DongWook Kim, Ina Park, Jisook Hong.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Crystal structure of rutile RuO [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (c). In the figure, the Z of dx2−y2 orbital is shown, which dominantly contributes to the flat band near EF and is sensitive to changes in U or J. The first thing to note is that Z is rapidly suppressed with increasing U at small U values, but the further suppression becomes marginal at larger U values. For instance, at J = 0.6 eV, Z is suppressed from 0.7 to 0.5 as U increases from 3 to 4.5 eV and is not … view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Strain-dependent properties of RuO [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) DFT and DFT+DMFT spectral function in the extended energy window. Red arrows indicate interband transitions [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. DFT+DMFT orbital-projected band structure of Ru1 atom in the case of pristine RuO [PITH_FULL_IMAGE:figures/full_fig_p010_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Qausiparticle weight [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗
read the original abstract

RuO$_2$ has been regarded as a prototypical candidate for metallic altermagnet, offering a potential platform for high-speed and high-efficiency spintronics. However, the magnetic ground state of RuO$_2$ remains a topic of active debate due to conflicting experimental reports. In this work, we investigate the effect of electron correlations in RuO$_2$ using density functional theory combined with dynamical mean-field theory (DFT+DMFT). In contrast to previous DFT-based studies, DFT+DMFT captures essential dynamical correlation effects, yielding spectral functions and optical conductivities in excellent quantitative agreement with experiments, and further reveals that RuO$_2$ resides in the close vicinity of both the paramagnetic-altermagnetic phase boundary and the itinerant-localized crossover, rendering the magnetic ground state highly susceptible to external perturbations. Indeed, even a minimal compressive strain of $\sim$0.5% is sufficient to drive the system into an altermagnetic phase. These findings elucidate the origin of the conflicting experimental observations and reveal that dynamical correlation effects are the key driving force behind the highly tunable magnetic ground state of RuO$_2$.

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.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The study rests on the standard DFT+DMFT framework; the only adjustable quantities are the local interaction parameters whose values are chosen to match experiment.

free parameters (1)
  • Hubbard U and Hund J for Ru 4d orbitals
    Values are selected so that the computed spectral function and optical conductivity match experimental data; these parameters directly control the distance to the magnetic transition.
axioms (1)
  • domain assumption DMFT local self-energy approximation
    The method assumes that the self-energy is local in real space, standard for DMFT but an approximation whose validity for RuO2 is not independently verified in the abstract.

pith-pipeline@v0.9.0 · 5515 in / 1369 out tokens · 112266 ms · 2026-05-14T18:16:27.806220+00:00 · methodology

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Reference graph

Works this paper leans on

53 extracted references · 7 canonical work pages · 2 internal anchors

  1. [1]

    ˇSmejkal, J

    L. ˇSmejkal, J. Sinova, and T. Jungwirth, Physical Review X12, 031042 (2022)

    2022

  2. [2]

    ˇSmejkal, J

    L. ˇSmejkal, J. Sinova, and T. Jungwirth, Physical Review X12, 040501 (2022). 7

    2022

  3. [3]

    Jungwirth, J

    T. Jungwirth, J. Sinova, R. M. Fernandes, Q. Liu, H. Watanabe, S. Murakami, S. Nakatsuji, and L.ˇSmejkal, Nature649, 837 (2026)

    2026

  4. [4]

    ˇSmejkal, A

    L. ˇSmejkal, A. B. Hellenes, R. Gonz´ alez-Hern´ andez, J. Sinova, and T. Jungwirth, Physical Review X12, 011028 (2022)

    2022

  5. [5]

    Jungwirth, J

    T. Jungwirth, J. Sinova, P. Wadley, D. Kriegner, H. Reichlova, F. Krizek, H. Ohno, and L. Smejkal, arXiv:2508.09748 (2025)

    work page arXiv 2025

  6. [6]

    C. Song, H. Bai, Z. Zhou, L. Han, H. Reichlova, J. H. Dil, J. Liu, X. Chen, and F. Pan, Nature Reviews Materials 10, 473 (2025)

    2025

  7. [7]

    ˇSmejkal, R

    L. ˇSmejkal, R. Gonz´ alez-Hern´ andez, T. Jungwirth, and J. Sinova, Science Advances6, eaaz8809 (2020)

    2020

  8. [8]

    Gonz´ alez-Hern´ andez, L.ˇSmejkal, K

    R. Gonz´ alez-Hern´ andez, L.ˇSmejkal, K. V` yborn` y, Y. Ya- hagi, J. Sinova, T. Jungwirth, and J. ˇZelezn` y, Physical Review Letters126, 127701 (2021)

    2021

  9. [9]

    A. Bose, N. J. Schreiber, R. Jain, D.-F. Shao, H. P. Nair, J. Sun, X. S. Zhang, D. A. Muller, E. Y. Tsymbal, D. G. Schlom, et al., Nature Electronics5, 267 (2022)

    2022

  10. [10]

    H. Bai, L. Han, X. Feng, Y. Zhou, R. Su, Q. Wang, L. Liao, W. Zhu, X. Chen, F. Pan,et al., Physical Review Letters128, 197202 (2022)

    2022

  11. [11]

    Karube, T

    S. Karube, T. Tanaka, D. Sugawara, N. Kadoguchi, M. Kohda, and J. Nitta, Physical Review Letters129, 137201 (2022)

    2022

  12. [12]

    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., Science Advances10, eadj4883 (2024)

    2024

  13. [13]

    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, et al., Physical Review Letters118, 077201 (2017)

    2017

  14. [14]

    Z. Zhu, J. Strempfer, R. Rao, C. Occhialini, J. Pelliciari, Y. Choi, T. Kawaguchi, H. You, J. Mitchell, Y. Shao- Horn, et al., Physical Review Letters122, 017202 (2019)

    2019

  15. [15]

    Z. Feng, X. Zhou, L. ˇSmejkal, L. Wu, Z. Zhu, H. Guo, R. Gonz´ alez-Hern´ andez, X. Wang, H. Yan, P. Qin,et al., Nature Electronics5, 735 (2022)

    2022

  16. [16]

    Tschirner, P

    T. Tschirner, P. Keßler, R. D. Gonzalez Betancourt, T. Kotte, D. Kriegner, B. B¨ uchner, J. Dufouleur, M. Kamp, V. Jovic, L. Smejkal, et al., APL Materials 11, doi.org/10.1063/5.0160335 (2023)

    work page doi:10.1063/5.0160335 2023

  17. [17]

    Hiraishi, H

    M. Hiraishi, H. Okabe, A. Koda, R. Kadono, T. Muroi, D. Hirai, and Z. Hiroi, Physical Review Letters132, 166702 (2024)

    2024

  18. [18]

    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., npj Spintronics2, 50 (2024)

    2024

  19. [19]

    J. Liu, J. Zhan, T. Li, J. Liu, S. Cheng, Y. Shi, L. Deng, M. Zhang, C. Li, J. Ding, et al., Physical Review Letters 133, 176401 (2024)

    2024

  20. [20]

    Wenzel, E

    M. Wenzel, E. Uykur, S. R¨ oßler, M. Schmidt, O. Janson, A. Tiwari, M. Dressel, and A. A. Tsirlin, Physical Review B111, L041115 (2025)

    2025

  21. [21]

    Z. Wu, M. Long, H. Chen, S. Paul, H. Matsuki, O. Zhe- liuk, U. Zeitler, G. Li, R. Zhou, Z. Zhu, et al., Physical Review X15, 031044 (2025)

    2025

  22. [22]

    Kiefer, F

    L. Kiefer, F. Wirth, A. Bertin, P. Becker, L. Bohat` y, K. Schmalzl, A. Stunault, J. A. Rodr´ ıguez-Velamaz´ an, O. Fabelo, and M. Braden, Journal of Physics: Con- densed Matter37, 135801 (2025)

    2025

  23. [23]

    X. Peng, Z. Liu, S. Zhang, Y. Zhou, Y. Sun, Y. Su, C. Wu, T. Zhou, L. Liu, Y. Li, et al., Communications Materials6, 177 (2025)

    2025

  24. [24]

    Smolyanyuk, I

    A. Smolyanyuk, I. I. Mazin, L. Garcia-Gassull, and R. Valent´ ı, Physical Review B109, 134424 (2024)

    2024

  25. [25]

    J. D. Forte, S. G. Jeong, A. Santhosh, S. Lee, B. Jalan, and T. Low, arXiv:2510.26581 (2025)

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  26. [26]

    Y.-X. Li, Y. Chen, L. Pan, S. Li, S.-B. Zhang, and H.-Z. Lu, Science China Physics, Mechanics & Astronomy69, 257001 (2026)

    2026

  27. [27]

    Y. Liu, H. Bai, Y. Song, Z. Ji, S. Lou, Z. Zhang, C. Song, and Q. Jin, Advanced Optical Materials11, 2300177 (2023)

    2023

  28. [28]

    H. Jung, G. So, S. Noh, G.-H. Kim, J. Lee, J. Lee, S. Lee, U. Seo, D.-S. Han, Y. S. Oh, et al., Nano Letters25, 16985 (2025)

    2025

  29. [29]

    G. M. Q. Sun, Z. Xie, Y. Yang, Y. Zhang, N. Lei, and D. Wei, arXiv:2512.24099 https://doi.org/10.48550/arXiv.2512.24099 (2025)

    work page doi:10.48550/arxiv.2512.24099 2025

  30. [30]

    Z. Li, Z. Zhang, Y. Chen, S. Hu, Y. Ji, Y. Yan, J. Du, Y. Li, L. He, X. Wang, et al., Advanced Materials37, 2416712 (2025)

    2025

  31. [31]

    Mravlje, M

    J. Mravlje, M. Aichhorn, T. Miyake, K. Haule, G. Kotliar, and A. Georges, Physical Review Letters106, 096401 (2011)

    2011

  32. [32]

    Georges, L

    A. Georges, L. d. Medici, and J. Mravlje, Annu. Rev. Condens. Matter Phys.4, 137 (2013)

    2013

  33. [33]

    Wadati, J

    H. Wadati, J. Mravlje, K. Yoshimatsu, H. Kumigashira, M. Oshima, T. Sugiyama, E. Ikenaga, A. Fujimori, A. Georges, A. Radetinac, et al., Physical Review B90, 205131 (2014)

    2014

  34. [34]

    Kim and B

    M. Kim and B. Min, Physical Review B91, 205116 (2015)

    2015

  35. [35]

    X. Deng, K. Haule, and G. Kotliar, Phys. Rev. Lett.116, 256401 (2016)

    2016

  36. [36]

    Zhang, E

    G. Zhang, E. Gorelov, E. Sarvestani, and E. Pavarini, Phys. Rev. Lett.116, 106402 (2016)

    2016

  37. [37]

    M. Kim, J. Mravlje, M. Ferrero, O. Parcollet, and A. Georges, Phys. Rev. Lett.120, 126401 (2018)

    2018

  38. [38]

    Tamai, M

    A. Tamai, M. Zingl, E. Rozbicki, E. Cappelli, S. Ricc` o, A. de la Torre, S. McKeown Walker, F. Y. Bruno, P. D. C. King, W. Meevasana, M. Shi, M. Radovi´ c, N. C. Plumb, A. S. Gibbs, A. P. Mackenzie, C. Berthod, H. U. R. Strand, M. Kim, A. Georges, and F. Baumberger, Phys. Rev. X9, 021048 (2019)

    2019

  39. [39]

    Kim, C.-J

    M. Kim, C.-J. Kang, J.-H. Han, K. Kim, and B. Kim, Phys. Rev. B106, L201103 (2022)

    2022

  40. [40]

    Y. Ling, F. Pawula, R. Daou, B. Fauqu´ e, and K. Behnia, Physical Review Materials10, 035002 (2026)

    2026

  41. [41]

    A. Sihi, S. Mandal, and K. Haule, arXiv:2601.12678 https://doi.org/10.48550/arXiv.2601.12678 (2026)

    work page doi:10.48550/arxiv.2601.12678 2026

  42. [42]

    Meinert, arXiv:2512.04995 https://doi.org/10.48550/arXiv.2512.04995 (2025)

    M. Meinert, arXiv:2512.04995 https://doi.org/10.48550/arXiv.2512.04995 (2025)

    work page doi:10.48550/arxiv.2512.04995 2025

  43. [43]

    Y.-F. Hou, J. Lu, X. Chen, G.-B. Liu, and P. Zhang, arXiv:2604.14764 https://doi.org/10.48550/arXiv.2604.14764 (2026)

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.48550/arxiv.2604.14764 2026

  44. [44]

    De’Medici, J

    L. De’Medici, J. Mravlje, and A. Georges, Physical Re- view Letters107, 256401 (2011)

    2011

  45. [45]

    Stadler, Z

    K. Stadler, Z. Yin, J. Von Delft, G. Kotliar, and A. We- ichselbaum, Physical Review Letters115, 136401 (2015)

    2015

  46. [46]

    Georges and G

    A. Georges and G. Kotliar, Physics Today77, 46 (2024)

    2024

  47. [47]

    Kresse and J

    G. Kresse and J. Furthm¨ uller, Physical Review B54, 11169 (1996)

    1996

  48. [48]

    Kresse and D

    G. Kresse and D. Joubert, Physical Review B59, 1758 8 (1999)

    1999

  49. [49]

    J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett.78, 1396 (1997)

    1997

  50. [50]

    Blaha, K

    P. Blaha, K. Schwarz, F. Tran, R. Laskowski, G. K. H. Madsen, and L. D. Marks, The Journal of Chemical Physics152, 074101 (2020)

    2020

  51. [51]

    Haule, C.-H

    K. Haule, C.-H. Yee, and K. Kim, Physical Review B—Condensed Matter and Materials Physics81, 195107 (2010)

    2010

  52. [52]

    Haule and T

    K. Haule and T. Birol, Physical Review Letters115, 256402 (2015)

    2015

  53. [53]

    C. A. Occhialini, V. Bisogni, H. You, A. Barbour, I. Jar- rige, J. Mitchell, R. Comin, and J. Pelliciari, Physical Review Research3, 033214 (2021). 9 Appendix A: DFT+DMFT Spectral Functions and Optical conductivity Fig. 4(a) shows the PM DFT+DMFT spectral function and DFT band structure over an extended energy win- dow. The red arrows, each spanning∼1.3 e...

    2021