REVIEW 2 major objections 2 minor 53 references
Dynamical electron correlations place RuO2 right at the edge of an altermagnetic phase, so that 0.5 percent compressive strain switches it into that state.
Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →
T0 review · grok-4.3
2026-06-30 21:34 UTC pith:GVA4R2KX
load-bearing objection The main claim is that DMFT correlations place RuO2 near the PM-AM boundary so 0.5% strain flips it altermagnetic, but this rests on parameter choices that the abstract does not pin down. the 2 major comments →
Correlation-driven tunability of altermagnetism in RuO₂
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
DFT+DMFT calculations show that dynamical correlation effects locate RuO2 in the immediate vicinity of the paramagnetic-altermagnetic phase boundary and the itinerant-localized crossover. This proximity renders the magnetic ground state highly tunable, so that a minimal compressive strain of approximately 0.5 percent drives the system into the altermagnetic phase while the computed spectral functions and optical conductivities agree quantitatively with experiment.
What carries the argument
Dynamical mean-field theory applied on top of density-functional theory, which incorporates frequency-dependent electron correlations that shift the system to the phase boundary.
Load-bearing premise
The specific values chosen for the local interaction parameters and the modeling of strain place RuO2 exactly at the phase boundary.
What would settle it
A controlled experiment that applies 0.5 percent compressive strain to RuO2 and measures whether altermagnetic order appears or remains absent.
If this is right
- Small external perturbations such as strain can select between paramagnetic and altermagnetic states.
- Slight variations in sample preparation or measurement conditions can explain why some experiments detect magnetic order and others do not.
- The material sits near an itinerant-localized crossover, so other control parameters like temperature or doping may also induce the altermagnetic phase.
- Quantitative agreement with measured spectra and conductivity validates the correlation-driven picture over pure DFT.
Where Pith is reading between the lines
- Similar correlation-driven tunability may appear in other 4d or 5d oxides that lie near analogous phase boundaries.
- Device concepts that exploit strain to switch spin-polarized currents could operate at very low energy cost in this material.
- Temperature-dependent measurements could map the width of the crossover region and test how sharply the altermagnetic state onsets.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper applies DFT+DMFT to RuO₂ and concludes that dynamical correlations place the material near the paramagnetic-altermagnetic phase boundary, so that a compressive strain of only ~0.5% drives the system into an altermagnetic state; this is offered as the origin of conflicting experimental reports on its magnetic ground state.
Significance. If the claimed proximity to the phase boundary is robust, the work would establish dynamical correlations as the dominant control knob for altermagnetism in this prototypical candidate, with direct consequences for strain engineering in spintronics. The quantitative match to experimental spectra and optical conductivity is a positive feature.
major comments (2)
- [DFT+DMFT results paragraph / methods] The central tunability claim (abstract and DFT+DMFT results section) rests on RuO₂ lying within a narrow window of the PM-AM phase diagram for the chosen U, J, double-counting scheme, and strain implementation. No explicit mapping of the phase boundary versus these parameters, nor error bars on the critical strain, is provided; a modest shift in effective interaction or crystal-field splitting can move the critical strain by several percent, undermining the “minimal ~0.5%” assertion.
- [comparison with experiment] Spectral-function and optical-conductivity agreement with experiment constrains quasiparticle renormalization but does not directly locate the magnetic instability; the manuscript does not demonstrate that the same parameter set simultaneously reproduces both the spectral features and the proximity to the altermagnetic transition.
minor comments (2)
- [methods] Notation for the strain tensor and the precise definition of “compressive strain” (lattice relaxation versus fixed-volume) should be stated explicitly in the methods.
- [figures] Figure captions should include the specific U and J values used for each panel.
Simulated Author's Rebuttal
We thank the referee for the careful reading, positive assessment of significance, and constructive comments. We address the two major points below. Revisions have been made to include additional sensitivity analysis and to clarify the connection between spectral agreement and the magnetic instability.
read point-by-point responses
-
Referee: The central tunability claim (abstract and DFT+DMFT results section) rests on RuO₂ lying within a narrow window of the PM-AM phase diagram for the chosen U, J, double-counting scheme, and strain implementation. No explicit mapping of the phase boundary versus these parameters, nor error bars on the critical strain, is provided; a modest shift in effective interaction or crystal-field splitting can move the critical strain by several percent, undermining the “minimal ~0.5%” assertion.
Authors: We agree that a full parameter scan would strengthen the claim. In the revised manuscript we add a supplementary figure mapping the critical compressive strain versus U (2.0–3.0 eV) and J (0.3–0.5 eV) at fixed double-counting and strain implementation. For the subset of parameters that reproduce the experimental quasiparticle renormalization and optical conductivity, the critical strain remains below 1 %. Error bars on the quoted 0.5 % value are now estimated from this variation and stated in the text. revision: yes
-
Referee: Spectral-function and optical-conductivity agreement with experiment constrains quasiparticle renormalization but does not directly locate the magnetic instability; the manuscript does not demonstrate that the same parameter set simultaneously reproduces both the spectral features and the proximity to the altermagnetic transition.
Authors: The interaction parameters are fixed by the requirement to match the measured spectral function and optical conductivity in the paramagnetic phase. With these parameters held constant we then compute the strain-dependent altermagnetic order parameter. The revised manuscript adds an explicit statement of this workflow in the methods section together with a new figure showing the altermagnetic moment versus strain for the experimentally constrained parameter set, thereby demonstrating simultaneous consistency. revision: yes
Circularity Check
No circularity: standard DFT+DMFT computation of phase boundary and strain response
full rationale
The paper performs DFT+DMFT calculations with chosen interaction parameters, obtains spectra and optical conductivity in agreement with experiment, locates the system near the PM-AM boundary in that parameter set, and computes the effect of applied strain on the magnetic state. None of these steps reduce the target claim (strain-induced altermagnetism at ~0.5%) to a fitted quantity defined from the same data or to a self-citation that is itself unverified; the magnetic instability and strain response are direct outputs of the same self-consistent calculation rather than being imposed by construction. The result is therefore self-contained against external benchmarks and receives the default non-circularity finding.
Axiom & Free-Parameter Ledger
free parameters (2)
- Hubbard U
- Hund's J
axioms (1)
- domain assumption DFT+DMFT with chosen parameters accurately reproduces experimental spectra and conductivity for RuO2
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$.
Figures
Reference graph
Works this paper leans on
-
[1]
ˇSmejkal, J
L. ˇSmejkal, J. Sinova, and T. Jungwirth, Physical Review X12, 031042 (2022)
2022
-
[2]
ˇSmejkal, J
L. ˇSmejkal, J. Sinova, and T. Jungwirth, Physical Review X12, 040501 (2022). 7
2022
-
[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]
ˇSmejkal, A
L. ˇSmejkal, A. B. Hellenes, R. Gonz´ alez-Hern´ andez, J. Sinova, and T. Jungwirth, Physical Review X12, 011028 (2022)
2022
-
[5]
T. Jungwirth, J. Sinova, P. Wadley, D. Kriegner, H. Reichlova, F. Krizek, H. Ohno, and L. Smejkal, arXiv:2508.09748 (2025)
-
[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]
ˇSmejkal, R
L. ˇSmejkal, R. Gonz´ alez-Hern´ andez, T. Jungwirth, and J. Sinova, Science Advances6, eaaz8809 (2020)
2020
-
[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]
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]
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]
Karube, T
S. Karube, T. Tanaka, D. Sugawara, N. Kadoguchi, M. Kohda, and J. Nitta, Physical Review Letters129, 137201 (2022)
2022
-
[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]
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]
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]
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]
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)
-
[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]
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]
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]
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]
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]
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]
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]
Smolyanyuk, I
A. Smolyanyuk, I. I. Mazin, L. Garcia-Gassull, and R. Valent´ ı, Physical Review B109, 134424 (2024)
2024
-
[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]
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]
Y. Liu, H. Bai, Y. Song, Z. Ji, S. Lou, Z. Zhang, C. Song, and Q. Jin, Advanced Optical Materials11, 2300177 (2023)
2023
-
[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]
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)
-
[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]
Mravlje, M
J. Mravlje, M. Aichhorn, T. Miyake, K. Haule, G. Kotliar, and A. Georges, Physical Review Letters106, 096401 (2011)
2011
-
[32]
Georges, L
A. Georges, L. d. Medici, and J. Mravlje, Annu. Rev. Condens. Matter Phys.4, 137 (2013)
2013
-
[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]
Kim and B
M. Kim and B. Min, Physical Review B91, 205116 (2015)
2015
-
[35]
X. Deng, K. Haule, and G. Kotliar, Phys. Rev. Lett.116, 256401 (2016)
2016
-
[36]
Zhang, E
G. Zhang, E. Gorelov, E. Sarvestani, and E. Pavarini, Phys. Rev. Lett.116, 106402 (2016)
2016
-
[37]
M. Kim, J. Mravlje, M. Ferrero, O. Parcollet, and A. Georges, Phys. Rev. Lett.120, 126401 (2018)
2018
-
[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]
Kim, C.-J
M. Kim, C.-J. Kang, J.-H. Han, K. Kim, and B. Kim, Phys. Rev. B106, L201103 (2022)
2022
-
[40]
Y. Ling, F. Pawula, R. Daou, B. Fauqu´ e, and K. Behnia, Physical Review Materials10, 035002 (2026)
2026
-
[41]
A. Sihi, S. Mandal, and K. Haule, arXiv:2601.12678 https://doi.org/10.48550/arXiv.2601.12678 (2026)
work page internal anchor Pith review Pith/arXiv arXiv doi:10.48550/arxiv.2601.12678 2026
-
[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)
-
[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]
De’Medici, J
L. De’Medici, J. Mravlje, and A. Georges, Physical Re- view Letters107, 256401 (2011)
2011
-
[45]
Stadler, Z
K. Stadler, Z. Yin, J. Von Delft, G. Kotliar, and A. We- ichselbaum, Physical Review Letters115, 136401 (2015)
2015
-
[46]
Georges and G
A. Georges and G. Kotliar, Physics Today77, 46 (2024)
2024
-
[47]
Kresse and J
G. Kresse and J. Furthm¨ uller, Physical Review B54, 11169 (1996)
1996
-
[48]
Kresse and D
G. Kresse and D. Joubert, Physical Review B59, 1758 8 (1999)
1999
-
[49]
J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett.78, 1396 (1997)
1997
-
[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]
Haule, C.-H
K. Haule, C.-H. Yee, and K. Kim, Physical Review B—Condensed Matter and Materials Physics81, 195107 (2010)
2010
-
[52]
Haule and T
K. Haule and T. Birol, Physical Review Letters115, 256402 (2015)
2015
-
[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
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.