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REVIEW 3 major objections 4 minor 85 references

Competing phases in kagome magnet FeGe from functional renormalization

T0 review · 3 major / 4 minor · reviewed 2026-08-12 · deepseek-v4-flash

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Pith's one-line read FeGe sits at a three-way competition among p-wave charge order, d-wave magnetic order, and f-wave superconductivity, and a modest increase in nearest-neighbor repulsion tips it toward superconductivity.

desk verdict A solid, transparent FRG study of FeGe's AFM phase that finds a plausible multiphase competition, but the fixed-kz single-α-band reduction is the load-bearing approximation and the result is conditional on it. read the letter →

arxiv 2411.10931 v1 pith:JHCW33A6 submitted 2024-11-17 cond-mat.str-el cond-mat.supr-con

Pietro M. Bonetti , Yi Jiang , Haoyu Hu , Dumitru Călugăru , Michael M. Scherer , B. Andrei Bernevig , Laura Classen This is my paper · ORCID
classification cond-mat.str-elcond-mat.supr-con
keywords FeGekagomemetalfunctionalrenormalizationgroupf-wavesuperconductivitychargedensitywavespinPomeranchuksublatticeinterferencephasecompetition
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper asks whether the charge density wave in the magnetic kagome metal FeGe can come from electronic correlations alone, and what other orders those correlations would produce. Using a density-functional band structure reduced to the dominant quasi-two-dimensional $\alpha$ band, the authors run functional renormalization group flows that treat charge, spin, and pairing fluctuations on equal footing. They find that at the interaction values extracted from constrained RPA, FeGe sits in a regime of strong competition among a $p$-wave charge/spin density wave, a $d$-wave spin Pomeranchuk order, and $f$-wave spin-triplet superconductivity. Slightly increasing the nearest-neighbor interaction, to about 1.5 times its ab-initio value, tips the balance toward the superconducting state. If correct, this means FeGe is a promising platform for inducing superconductivity in a magnetic kagome metal by pressure, doping, or strain.

What carries the argument

The machinery is patch functional renormalization group on a quasi-two-dimensional single-band model derived from DFT. The $\alpha$ band at fixed out-of-plane momentum $k_{z,0} \approx 1.425$ is patched at 120 Fermi-surface points, and the full multi-orbital Hubbard-Kanamoni interaction is projected onto that band, reducing the vertex to two independent functions $V_{\uparrow\uparrow}$ and $V_{\uparrow\downarrow}$. The flow with temperature as cutoff tracks all one-loop particle-particle and particle-hole fluctuations simultaneously and signals an instability when the renormalized vertex diverges; the angular structure of the divergent eigenvector identifies the order parameter. Two further ingredients carry the argument: sublattice interference at the Van Hove points, where each $M$ point has weight on only one kagome sublattice, and the Landau free energy for the three $p$-wave CDW order parameters, whose quartic coefficient $\lambda$ is computed from the band dispersion to be negative, favoring a state with all three order parameters condensed.

What would settle it

A three-dimensional multi-band FRG calculation at the cRPA parameters that includes $\alpha$-$\beta$ inter-band processes at $K$: if the leading eigenvector of the susceptibility is an inter-band $K$-point order that dominates over the $M$-point $p$-wave CDW, or if raising $U_1$ to 1.5 times its cRPA value no longer produces an $f$-wave pairing divergence, the central scenario fails. Experimentally, if pressure or doping tuned to increase $U_1/U$ does not reveal a superconducting dome next to the CDW, the predicted balance is wrong.

Watch

Extended reading notes

Core claim

The central claim is that FeGe's interaction-driven Fermi-surface instabilities are dominated by a single band, the $\alpha$ band, whose low-energy properties are quasi-two-dimensional, with Van Hove points at the projected $M$ points. Starting from the DFT band structure in the antiferromagnetic phase and projecting the extended Hubbard-Kanamoni interaction onto this band, functional renormalization group calculations yield a phase diagram in the on-site ($U$) and nearest-neighbor ($U_1$) interaction plane. At the cRPA values ($U = 5.72$ eV, $U_1 = 2.30$ eV), the system is not deep in any single ordered phase: $p$-wave charge/spin density wave at wave vector $M$, $d$-wave spin Pomeranchuk order, and $f$-wave pairing all grow large, and the authors cannot identify a clear winner. For $U_1$ at or above about 1.5 times the cRPA value, the $f$-wave pairing instability wins for all $U$ studied; this spin-triplet state pairs equal spins on next-nearest-neighbor sites. The paper also argues that the antiferromagnetic layer polarization suppresses unequal-spin scattering, which explains why equal-spin orders dominate, and that the $p$-wave CDW and canted antiferromagnetic phases found are consistent with experiments.

Load-bearing premise

The load-bearing premise is that reducing FeGe to a single quasi-two-dimensional $\alpha$ band at a fixed out-of-plane momentum $k_{z,0}$, and neglecting inter-band scattering at $K$ and electron-phonon coupling, does not change which instability wins.

Editorial extensions

If this is right

  • At the cRPA interaction values, FeGe is a near-degenerate multi-phase system: small changes in interaction ratios, strain, or additional couplings can switch the leading instability.
  • Raising the nearest-neighbor interaction $U_1$ to about 1.5 times its cRPA value, independent of on-site $U$, produces an $f$-wave spin-triplet superconducting instability, so tuning $U_1/U$ is a concrete route toward superconductivity in FeGe.
  • The $p$-wave CDW with wave vector $M$ and the canted antiferromagnetic order obtained in the quasi-2D model are consistent with the experimentally observed orders, supporting the electronic-interaction scenario for these phases.
  • Critical temperatures from purely electronic fluctuations are small compared with the bandwidth, so the observed 100 K CDW transition likely requires cooperation with phonons or additional bands; the authors flag this as an open direction.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the three-order near-degeneracy is as fragile as computed, then including the omitted $\beta$ band and inter-band $K$-point processes could shift the phase boundaries, but the qualitative dome of equal-spin triplet pairing next to the CDW region is likely robust because it follows from the layer-polarization suppression of opposite-spin scattering.
  • The same mechanism suggests a design rule for magnetic kagome metals more broadly: any perturbation that raises the ratio of nearest-neighbor to on-site repulsion, such as chemical pressure, hydrostatic pressure, or ligand substitution, should favor equal-spin triplet superconductivity.
  • A testable experimental signature of the $d$-wave spin Pomeranchuk phase is a spin-nematic response: anisotropy in the spin susceptibility or in transport that onsets with the density-wave order but without long-range magnetic order.
  • Since the paper's superconducting $T_c$ is set by electronic scales only, observation of superconductivity in FeGe at a sizable fraction of the CDW temperature would imply that phonons or inter-band processes set the pairing scale.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 4 minor

Summary. The manuscript studies the ordering tendencies of the kagome magnet FeGe using density functional theory plus functional renormalization group. Starting from the ab-initio band structure in the antiferromagnetic phase and cRPA interactions, the authors argue that the α-band at a fixed kz cut (kz,0 ≈ 1.425) captures the dominant intra-band correlations. They project the Hubbard-Kanamori interaction onto this single band and run a 120-patch temperature-flow FRG to map out a phase diagram in the (U, U1) plane. The resulting phase diagram contains ferrimagnetic, d-wave spin-Pomeranchuk, p-wave charge/spin bond density wave, canted magnetic, and f-wave spin-triplet superconducting phases. At the cRPA parameters (white star) the system is in a strongly competing regime, and the authors propose that increasing U1 slightly favors f-wave superconductivity. The paper includes a detailed SI with flow equations, susceptibilities, and Landau analyses.

Significance. The paper provides a first realistic, ab-initio-informed FRG study of a magnetic kagome metal, going beyond simplified single-orbital lattice models. It identifies two universal ingredients—sublattice interference and spin-layer locking from the AFM parent—and shows how they select longitudinal spin orders and equal-spin triplet pairing. The forward nature of the calculation (cRPA inputs, no fitting to the phase diagram) is a strength, as is the explicit documentation of flow equations and the Landau analysis of the multi-Q CDW state. If the single-band reduction is validated, the prediction that FeGe sits near a multi-critical point and that f-wave superconductivity can be induced by tuning U1 is significant and testable by pressure or doping experiments. However, reproducibility is currently limited by the absence of released code or data.

major comments (3)
  1. [SI Sec. SI; Conclusion] The single-α-band, fixed-kz reduction is load-bearing for the material-specific claims, yet the SI explicitly states that 'competing inter-band processes with wave vector K' are beyond the first approach and the Conclusion concedes that 'it will be crucial to include other bands' when studying orders that compete with a CDW. The bare-susceptibility selection of the α band (Figs. S4, S7) does not by itself guarantee that the dressed FRG vertex, which couples particle-particle and particle-hole channels, remains dominated by this band at this kz. Please provide a two-band check (e.g., including the β band in the susceptibility or a coupled FRG estimate) or a concrete quantitative argument for why inter-band and other-kz processes cannot change the leading instability at the cRPA star.
  2. [SI Sec. SV, Fig. S16; Conclusion] The canted antiferromagnetic (FM-xy) phase, which the conclusion says is consistent with experimental observations of the canted phase in FeGe [35–38,57,68], is realized in the phase diagram only for U ≥ 1.75 U^(0) (at U1 = 0.5 U^(0)) and not at the cRPA star (U = U^(0), U1 = U1^(0)). Since the star is the parameter set used to characterize FeGe, the connection to experiment needs clarification: either the cRPA values have uncertainties covering this region, or this phase should be presented as a nearby-parameter prediction rather than a direct finding at the ab-initio parameters.
  3. [Main text Fig. 2; SI Sec. SV] At the cRPA star the SI states that 'we cannot distinguish a clear winner of the competing orders' and describes the regime as one in which p-CDW/p-SDW, f-wave SC, and Pomeranchuk features all grow large, while Fig. 2 assigns this point to p-CDW+p-SDW. Because the abstract's central claim is strong competition rather than a unique order, the criterion used to assign a phase label in this ambiguous region (e.g., eigenvalue gaps or threshold on the leading channel) should be specified explicitly; as written, the main-text phase label overstates the FRG classification at the white star.
minor comments (4)
  1. [Main text and SI, Q-vector definitions] The Q vectors are defined differently in the main text (Q1=(2π,0), Q2=(-π,-√3π), Q3=(-π,√3π)) and in SI Eq. (S34) (Q1=(0,2π/√3), Q2=(π,-π/√3), Q3=(-π,-π/√3)); please unify the notation so the form factors f_k^(n)=sin(k·Q_n/(4π)) in Eq. (4) are consistent with the eigenvectors shown in Fig. S20.
  2. [SI Sec. SIV] There is a repeated 'where where' in the sentence introducing Eqs. (S27)-(S28), and the main text contains the typo 'ferrimagentism' in the phase-description paragraph.
  3. [Main text, Fig. 2] The f-SC region requires U1 ≥ 1.5 U1^(0), a 50% enhancement over the cRPA value; the phrase 'slightly increased nearest-neighbor interaction' in the abstract and conclusion is stronger than the phase diagram supports and should be quantified.
  4. [Data availability] No code or data availability statement is provided, and no repository is referenced. Given that the key single-band reduction cannot be independently assessed from the manuscript alone, releasing the band-projection data and patch-FRG code (or at least the projected dispersion and interaction tables) would substantially strengthen reproducibility.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the phase diagram is a forward fRG calculation on ab-initio inputs, and the only self-citation supplies independent DFT/cRPA data.

full rationale

The derivation chain is not circular. The DFT band structure and cRPA interaction parameters (Table SI, U(0)=5.72 eV, U1(0)=2.30 eV) come from Ref. [56], but that is an ab-initio, parameter-free computation that does not include the fRG phase diagram or the competing-order balance as an input; under the stated criteria this self-citation is real evidence and does not raise the circularity score. The phase diagram (Fig. 2, Fig. S16) is obtained by sweeping U and U1 around these values and integrating the N-patch temperature-flow fRG equations (Eqs. S27-S28) until a vertex exceeds threshold; the white star is placed at the cRPA values, not adjusted to match experiment. The choices of the alpha band and the kz=kz,0 cut are motivated by the largest bare susceptibility peaks at M/L (Fig. 1f, Figs. S4, S8), but they do not by construction fix the leading instability: the same setup yields different channels (FM, d-Pom, p-CDW, f-SC) in different parameter regions, and the central competition claim at the cRPA point is a numerical outcome. The paper explicitly flags its truncation ('it will be crucial to include other bands when studying orders that compete with a CDW') and the omission of electron-phonon coupling; these are conditional-modeling caveats, not circular reductions. No equation defines an output in terms of an input, and no fitted parameter is relabeled as a prediction.

Assumptions & free parameters 2 free parameters · 5 assumptions · 0 invented entities

The calculation is a forward FRG computation starting from a DFT band structure and cRPA interaction parameters. U and U1 are scanned in the phase diagram but are anchored to the computed cRPA values, so the circularity burden is low. The main structural assumptions are the single-band 2D approximation and the neglect of phonons, both stated by the authors.

free parameters (2)
  • U (on-site Hubbard interaction) = 5.72 eV (cRPA); scanned in phase diagram
    Central to the phase diagram; the white star uses the cRPA value U=5.72 eV, and the competition regime is found at U near this value.
  • U1 (nearest-neighbor interaction) = 2.30 eV (cRPA); scanned in phase diagram
    The superconductivity prediction is driven by increasing U1 relative to the cRPA value of 2.30 eV; keeping U' and J fixed, the phase diagram is scanned along U1.
assumptions (5)
  • domain assumption The quasi-2D cut of the α band at kz0 ~ 1.425 reproduces the momentum dependence of the dominant 3D band susceptibility.
    Justified in Fig. S8 by comparing 2D and 3D band susceptibilities; the match is qualitative and states away from the cut are discarded.
  • domain assumption Single-band projection onto the α band is sufficient; inter-band processes, including those at the K point, can be neglected.
    Stated in SI Sec. SI: 'we focus on intra-band effects, which is also motivated by the experimental observation of wave vectors M and L.' Inter-band susceptibility peaks at K are acknowledged but not included.
  • standard math The N-patch FRG truncation, with static vertex and neglected self-energy, captures the leading Fermi-surface instabilities.
    Standard approximations in the FRG literature (Refs. [60,61] and SI Sec. SIV); the small computed Tc values are used as an a posteriori justification.
  • domain assumption Electron-phonon coupling does not affect the leading electronic instabilities.
    Explicitly excluded in the introduction; the authors later note this leaves the 100 K CDW temperature unexplained.
  • domain assumption The cRPA interaction parameters from Ref. [56] are reliable inputs.
    Values in Table SI are used as the physical point and as normalization for the phase diagram; they are not derived in this paper.

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Pith. "Pith review of Competing phases in kagome magnet FeGe from functional renormalization." pith.science (2026). https://pith.science/paper/JHCW33A6

@misc{pith2026241110931,
  author       = {Pith},
  title        = {Pith review of: Competing phases in kagome magnet FeGe from functional renormalization},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/JHCW33A6}},
  note         = {Machine review of arXiv:2411.10931}
}
abstract

The discovery of a charge density wave in FeGe extends the discussion of the nature of charge order in kagome metals to a magnetic compound. Motivated by this observation, we combine density functional theory (DFT) and functional-renormalization-group calculations to study interaction-induced Fermi-surface instabilities of the magnetic state of FeGe. We argue that the leading intra-band contribution to electronic correlations are approximately 2D and come from Van Hove points at the projected $M$~points. By varying parameters around DFT values, we determine a phase diagram for the quasi-2D scenario as function of on-site and nearest-neighbor interactions. We discuss universal aspects in the electronic mechanisms for the resulting phases, as well as the role of SU(2) symmetry breaking. We find FeGe to be in a regime of strong competition between $p$-wave charge density wave, $f$-wave pairing, and $d$-wave spin Pomeranchuk instabilities. This interplay can be influenced in favor of superconducting pairing for slightly increased nearest-neighbor interaction, suggesting a potential to induce superconductivity in FeGe.

Figures

Figures reproduced from arXiv: 2411.10931 by the authors.

Figure 1
Figure 1. Fermi surfaces of the (a) α-band (b) β and β ′ bands, (c) γ (purple), δ (orange), and ϵ (blue) bands. (d) Points in the three-dimensional Brillouin zone. The shaded plane is the kz = π/2 plane. (e) Fermi surface and patching scheme used for the FRG calculations for the cut of the α-band at kz = kz,0 ≃ 1.425 with quasi-2D van Hove singularity. Blue arrows indicate approximate nesting vectors. (f) 3D band susceptibili… view at source ↗
Figure 2
Figure 2. Phase diagram and FRG critical temperatures [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. (a) Leading (degenerate) eigenfunctions of [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗

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Works this paper leans on

85 extracted references · 53 canonical work pages

  1. [1]

    M., Yin, J.-X., Thomale, R

    Neupert, T., Denner, M. M., Yin, J.-X., Thomale, R. & Hasan, M. Z. Charge order and superconductivity in kagome materials. Nature Physics 18, 137–143 (2022). URL https://doi.org/10.1038/s41567-021-01404-y

    doi:10.1038/s41567-021-01404-y 2022

  2. [2]

    Jiang, K. et al. Kagome superconductors AV 3Sb5 (A = K, Rb, Cs). National Science Review 10, nwac199 (2022). URL https://doi.org/10.1093/ nsr/nwac199. https://academic.oup.com/nsr/article- pdf/10/2/nwac199/49561488/nwac199.pdf

    2022

  3. [3]

    Hu, Y., Wu, X., Schnyder, A. P. & Shi, M. Electronic landscape of kagome superconductors AV 3Sb5 (A = K, Rb, Cs) from angle-resolved photoemission spectroscopy. npj Quantum Materials8, 67 (2023). URL https://doi. org/10.1038/s41535-023-00599-y

    work page doi:10.1038/s41535-023-00599-y 2023

  4. [4]

    & Felser, C

    Wang, Q., Lei, H., Qi, Y. & Felser, C. Topologi- cal quantum materials with kagome lattice. Accounts of Materials Research 5, 786–796 (2024). URL http: //dx.doi.org/10.1021/accountsmr.3c00291

    doi:10.1021/accountsmr.3c00291 2024

  5. [5]

    Ortiz, B. R. et al. New kagome prototype materials: dis- covery of KV 3Sb5, RbV3Sb5, and CsV 3Sb5. Phys. Rev. Mater. 3, 094407 (2019). URL https://link.aps.org/ doi/10.1103/PhysRevMaterials.3.094407

    doi:10.1103/physrevmaterials.3.094407 2019

  6. [6]

    Jiang, Y.-X. et al. Unconventional chiral charge order in kagome superconductor KV 3Sb5. Nature Materials 6 20, 1353–1357 (2021). URL https://doi.org/10.1038/ s41563-021-01034-y

    2021

  7. [7]

    Liang, Z. et al. Three-Dimensional Charge Density Wave and Surface-Dependent Vortex-Core States in a Kagome Superconductor CsV 3Sb5. Phys. Rev. X 11, 031026 (2021). URL https://link.aps.org/doi/10. 1103/PhysRevX.11.031026

    2021

  8. [8]

    Khasanov, R. et al. Time-reversal symmetry bro- ken by charge order in CsV 3Sb5. Phys. Rev. Res. 4, 023244 (2022). URL https://link.aps.org/doi/10. 1103/PhysRevResearch.4.023244

    2022

Show all 85 references
  1. [9]

    Gupta, R. et al. Two types of charge order in the su- perconducting kagome material CsV 3Sb5 (2022). URL https://arxiv.org/abs/2203.05055. 2203.05055

    2022 arXiv

  2. [10]

    Zhao, H. et al. Cascade of correlated electron states in the kagome superconductor CsV 3Sb5. Nature 599, 216–221 (2021). URL https://doi.org/10.1038/ s41586-021-03946-w

    2021

  3. [11]

    Kang, M. et al. Twofold van Hove singularity and ori- gin of charge order in topological kagome superconduc- tor CsV 3Sb5. Nature Physics 18, 301–308 (2022). URL https://doi.org/10.1038/s41567-021-01451-5

    2022 doi

  4. [12]

    et al.Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome super- conductors

    Xu, Y. et al.Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome super- conductors. Nature Physics 18, 1470–1475 (2022). URL https://doi.org/10.1038/s41567-022-01805-7

    2022 doi

  5. [13]

    Kang, M. et al. Charge order landscape and competition with superconductivity in kagome metals. Nature Ma- terials 22, 186–193 (2023). URL https://doi.org/10. 1038/s41563-022-01375-2

    2023

  6. [14]

    Hu, Y. et al. Rich nature of Van Hove singularities in Kagome superconductor CsV 3Sb5. Nature Communica- tions 13, 2220 (2022). URL https://doi.org/10.1038/ s41467-022-29828-x

    2022

  7. [15]

    Hu, Y. et al. Coexistence of trihexagonal and star- of-David pattern in the charge density wave of the kagome superconductor AV3Sb5. Phys. Rev. B 106, L241106 (2022). URL https://link.aps.org/doi/10. 1103/PhysRevB.106.L241106

    2022

  8. [16]

    Li, C. et al. Coexistence of two intertwined charge den- sity waves in a kagome system. Phys. Rev. Res. 4, 033072 (2022). URL https://link.aps.org/doi/10. 1103/PhysRevResearch.4.033072

    2022

  9. [17]

    Xing, Y. et al. Optical manipulation of the charge-density-wave state in RbV 3Sb5. Nature 631, 60–66 (2024). URL https://doi.org/10.1038/ s41586-024-07519-5

    2024

  10. [18]

    Ortiz, B. R. et al. Superconductivity in the Z2 kagome metal KV 3Sb5. Phys. Rev. Mater. 5, 034801 (2021). URL https://link.aps.org/doi/10.1103/ PhysRevMaterials.5.034801

    2021

  11. [19]

    Ortiz, B. R. et al. CsV3Sb5: A Z2 Topological Kagome Metal with a Superconducting Ground State. Phys. Rev. Lett. 125, 247002 (2020). URL https://link.aps.org/ doi/10.1103/PhysRevLett.125.247002

    2020 doi

  12. [20]

    Chen, H. et al. Roton pair density wave in a strong-coupling kagome superconductor. Nature 599, 222–228 (2021). URL https://doi.org/10.1038/ s41586-021-03983-5

    2021

  13. [21]

    Gupta, R. et al. Microscopic evidence for anisotropic multigap superconductivity in the CsV 3Sb5 kagome su- perconductor. npj Quantum Materials7, 49 (2022). URL https://doi.org/10.1038/s41535-022-00453-7

    2022 doi

  14. [22]

    Chen, K. Y. et al. Double Superconducting Dome and Triple Enhancement of Tc in the Kagome Superconduc- tor CsV3Sb5 under High Pressure. Phys. Rev. Lett.126, 247001 (2021). URL https://link.aps.org/doi/10. 1103/PhysRevLett.126.247001

    2021

  15. [23]

    Zhong, Y. et al. Testing electron–phonon coupling for the superconductivity in kagome metal CsV3Sb5. Nature Communications 14, 1945 (2023). URL https://doi. org/10.1038/s41467-023-37605-7

    2023 doi

  16. [24]

    Zhong, Y. et al. Nodeless electron pairing in CsV3Sb5-derived kagome superconductors. Nature 617, 488–492 (2023). URL https://doi.org/10.1038/ s41586-023-05907-x

    2023

  17. [25]

    Teng, X. et al. Discovery of charge density wave in a kagome lattice antiferromagnet. Nature 609, 490–495 (2022). URL https://doi.org/10.1038/ s41586-022-05034-z

    2022

  18. [26]

    Teng, X. et al. Magnetism and charge density wave order in kagome FeGe. Nature Physics 19, 814–822 (2023). URL https://doi.org/10.1038/s41567-023-01985-w

    2023 doi

  19. [27]

    Tang, K. et al. Evidence for unfolded Fermi surfaces in the charge-density-wave state of kagome metal FeGe revealed by de Haas–van Alphen effect. Phys. Rev. Res. 6, 013276 (2024). URL https://link.aps.org/doi/10. 1103/PhysRevResearch.6.013276

    2024

  20. [28]

    Wenzel, M. et al. Intriguing Low-Temperature Phase in the Antiferromagnetic Kagome Metal FeGe. Phys. Rev. Lett. 132, 266505 (2024). URL https://link.aps.org/ doi/10.1103/PhysRevLett.132.266505

    2024 doi

  21. [29]

    Yi, S. et al. Polarized Charge Dynamics of a Novel Charge Density Wave in Kagome FeGe (2024). URL https://arxiv.org/abs/2403.09950. 2403.09950

    2024 arXiv

  22. [30]

    Shi, C. et al. Charge density wave without long- range structural modulation in canted antiferromagnetic kagome FeGe (2024). URL https://arxiv.org/abs/ 2404.00996. 2404.00996

    2024 arXiv

  23. [31]

    Oh, J. S. et al. Tunability of charge density wave in a magnetic kagome metal (2024). URL https://arxiv. org/abs/2404.02231. 2404.02231

    2024 arXiv

  24. [32]

    Teng, X. et al. Spin-Charge-Lattice Coupling across the Charge Density Wave Transition in a Kagome Lat- tice Antiferromagnet. Phys. Rev. Lett. 133, 046502 (2024). URL https://link.aps.org/doi/10.1103/ PhysRevLett.133.046502

    2024

  25. [33]

    Han, S. et al. Orbital origin of magnetic moment en- hancement induced by charge density wave in kagome FeGe (2024). URL https://arxiv.org/abs/2407. 01076. 2407.01076

    2024 arXiv

  26. [35]

    & Yasuk¯ ochi, K

    Ohoyama, T., Kanematsu, K. & Yasuk¯ ochi, K. A New Intermetallic Compound FeGe. Jour- nal of the Physical Society of Japan 18, 589–589 (1963). URL https://doi.org/10.1143/JPSJ.18.589. https://doi.org/10.1143/JPSJ.18.589

    1963 doi

  27. [36]

    & Richard- son, M

    Beckman, O., Carrander, K., Lundgren, L. & Richard- son, M. Susceptibility Measurements and Magnetic Or- dering of Hexagonal FeGe. Physica Scripta6, 151 (1972). URL https://dx.doi.org/10.1088/0031-8949/6/2-3/ 009

    1972 doi

  28. [37]

    & Beckman, O

    Bernhard, J., Lebech, B. & Beckman, O. Neutron diffrac- tion studies of the low-temperature magnetic structure 7 of hexagonal FeGe. Journal of Physics F: Metal Physics 14, 2379 (1984). URL https://dx.doi.org/10.1088/ 0305-4608/14/10/017

    1984

  29. [38]

    & Beckman, O

    Bernhard, J., Lebech, B. & Beckman, O. Magnetic phase diagram of hexagonal FeGe determined by neutron diffraction. Journal of Physics F: Metal Physics18, 539 (1988). URL https://dx.doi.org/10.1088/0305-4608/ 18/3/023

    1988 doi

  30. [39]

    Ptok, A. et al. Lattice dynamics study of electron- correlation-induced charge density wave in antiferro- magnetic kagome metal FeGe. Phys. Rev. Mater. 8, L080601 (2024). URL https://link.aps.org/doi/10. 1103/PhysRevMaterials.8.L080601

    2024

  31. [40]

    Miao, H. et al. Signature of spin-phonon coupling driven charge density wave in a kagome magnet. Nature Com- munications 14, 6183 (2023). URL https://doi.org/ 10.1038/s41467-023-41957-5

    2023 doi

  32. [41]

    Wen, X. et al. Unconventional charge density wave in a kagome lattice antiferromagnet FeGe. Phys. Rev. Res. 6, 033222 (2024). URL https://link.aps.org/doi/10. 1103/PhysRevResearch.6.033222

    2024

  33. [42]

    Wu, X. et al. Annealing-Tunable Charge Density Wave in the Magnetic Kagome Material FeGe. Phys. Rev. Lett. 132, 256501 (2024). URL https://link.aps.org/doi/ 10.1103/PhysRevLett.132.256501

    2024 doi

  34. [43]

    Subires, D. et al. Frustrated charge density wave and quasi-long-range bond-orientational order in the mag- netic kagome fege. arXiv preprint arXiv:2408.04452 (2024)

    2024 arXiv

  35. [44]

    Korshunov, A. et al. Pressure induced quasi-long-range√ 3 × √ 3 charge density wave and competing orders in the kagome metal fege (2024). URLhttps://arxiv.org/ abs/2409.04325. 2409.04325

    2024 arXiv

  36. [45]

    L., Platt, C

    Kiesel, M. L., Platt, C. & Thomale, R. Uncon- ventional Fermi Surface Instabilities in the Kagome Hubbard Model. Phys. Rev. Lett. 110, 126405 (2013). URL https://link.aps.org/doi/10.1103/ PhysRevLett.110.126405

    2013

  37. [46]

    & Wang, Q.- H

    Wang, W.-S., Li, Z.-Z., Xiang, Y.-Y. & Wang, Q.- H. Competing electronic orders on kagome lattices at van Hove filling. Phys. Rev. B 87, 115135 (2013). URL https://link.aps.org/doi/10.1103/ PhysRevB.87.115135

    2013

  38. [48]

    Schwemmer, T. et al. Spatially modulated supercon- ductivity in the Kagome Hubbard model (2024). URL https://arxiv.org/abs/2302.08517. 2302.08517

    2024 arXiv

  39. [49]

    Kiesel, M. L. & Thomale, R. Sublattice interference in the kagome Hubbard model. Phys. Rev. B 86, 121105 (2012). URL https://link.aps.org/doi/10. 1103/PhysRevB.86.121105

    2012

  40. [50]

    & Moore, J

    Lin, Y.-P., Liu, C. & Moore, J. E. Complex mag- netic and spatial symmetry breaking from correlations in kagome flat bands. Phys. Rev. B 110, L041121 (2024). URL https://link.aps.org/doi/10.1103/ PhysRevB.110.L041121

    2024

  41. [51]

    H., Birol, T., Andersen, B

    Christensen, M. H., Birol, T., Andersen, B. M. & Fer- nandes, R. M. Loop currents in AV3Sb5 kagome metals: Multipolar and toroidal magnetic orders. Phys. Rev. B 106, 144504 (2022). URL https://link.aps.org/doi/ 10.1103/PhysRevB.106.144504

    2022 doi

  42. [52]

    H., Birol, T., Andersen, B

    Christensen, M. H., Birol, T., Andersen, B. M. & Fernandes, R. M. Theory of the charge density wave in AV3Sb5 kagome metals. Phys. Rev. B 104, 214513 (2021). URL https://link.aps.org/doi/10. 1103/PhysRevB.104.214513

    2021

  43. [53]

    T., Fernandes, R

    Ritz, E. T., Fernandes, R. M. & Birol, T. Impact of Sb degrees of freedom on the charge density wave phase diagram of the kagome metal CsV 3Sb5. Phys. Rev. B 107, 205131 (2023). URL https://link.aps.org/doi/ 10.1103/PhysRevB.107.205131

    2023 doi

  44. [54]

    M., Thomale, R

    Denner, M. M., Thomale, R. & Neupert, T. Anal- ysis of Charge Order in the Kagome Metal AV3Sb5 (A = K , Rb, Cs). Phys. Rev. Lett. 127, 217601 (2021). URL https://link.aps.org/doi/10.1103/ PhysRevLett.127.217601

    2021

  45. [55]

    & Nandkishore, R

    Lin, Y.-P. & Nandkishore, R. M. Complex charge den- sity waves at Van Hove singularity on hexagonal lattices: Haldane-model phase diagram and potential realization in the kagome metals AV3Sb5 (A=K, Rb, Cs). Phys. Rev. B 104, 045122 (2021). URL https://link.aps. org/doi/10.1103...

    2021 doi

  46. [57]

    Chen, L. et al. Competing itinerant and local spin in- teractions in kagome metal fege. Nature Communica- tions 15, 1918 (2024). URL https://doi.org/10.1038/ s41467-023-44190-2

    2024

  47. [58]

    See Supplementary Material

  48. [59]

    See [58] for inter-band susceptibilities

  49. [60]

    & Sch¨ onhammer, K

    Metzner, W., Salmhofer, M., Honerkamp, C., Meden, V. & Sch¨ onhammer, K. Functional renormalization group approach to correlated fermion systems. Rev. Mod. Phys. 84, 299–352 (2012). URL https://link.aps.org/doi/ 10.1103/RevModPhys.84.299

    2012 doi

  50. [62]

    & Zhang, S.-C

    Wu, C., Sun, K., Fradkin, E. & Zhang, S.-C. Fermi liquid instabilities in the spin channel. Phys. Rev. B 75, 115103 (2007). URL https://link.aps.org/doi/ 10.1103/PhysRevB.75.115103

    2007 doi

  51. [63]

    & Fernandes, R

    Gali, V., Hecker, M. & Fernandes, R. M. A critical nematic phase with pseudogap-like behavior in twisted bilayers (2024). URL https://arxiv.org/abs/2401. 01844. 2401.01844

    2024 arXiv

  52. [64]

    & Fernandes, R

    Mandal, I. & Fernandes, R. M. Valley-polarized nematic order in twisted moir´ e systems: In-plane orbital mag- netism and crossover from non-fermi liquid to fermi liq- uid. Phys. Rev. B 107, 125142 (2023). URL https: //link.aps.org/doi/10.1103/PhysRevB.107.125142

    2023 doi

  53. [65]

    V., Honerkamp, C

    Classen, L., Chubukov, A. V., Honerkamp, C. & Scherer, M. M. Competing orders at higher-order van hove points. Phys. Rev. B102, 125141 (2020). URL https://link. aps.org/doi/10.1103/PhysRevB.102.125141

    2020 doi

  54. [66]

    V., Classen, L

    Chichinadze, D. V., Classen, L. & Chubukov, A. V. Valley magnetism, nematicity, and density wave or- ders in twisted bilayer graphene. Phys. Rev. B 102, 125120 (2020). URL https://link.aps.org/doi/10. 1103/PhysRevB.102.125120. 8

    2020

  55. [67]

    In our gauge choice for the orbital-to-band transforma- tion [58] the form factors are not periodic and it is im- portant to distinguish Q and M in the transformation to real space

  56. [68]

    In our quasi-2D model, an incommensurate, out-of-plane magnetic wave vector (π/2 +δ)ˆez that connects minority and majority spin would manifest as a q = 0 FM-xy order

  57. [69]

    C., Christensen, M

    Holbæk, S. C., Christensen, M. H., Kreisel, A. & An- dersen, B. M. Unconventional superconductivity pro- tected from disorder on the kagome lattice. Phys. Rev. B 108, 144508 (2023). URL https://link.aps.org/doi/ 10.1103/PhysRevB.108.144508

    2023 doi

  58. [70]

    Wu, X., Chakraborty, D., Schnyder, A. P. & Greco, A. Crossover between electron-electron and electron-phonon mediated pairing on the kagome lattice. Phys. Rev. B 109, 014517 (2024). URL https://link.aps.org/doi/ 10.1103/PhysRevB.109.014517

    2024 doi

  59. [71]

    & Wan, X

    Wu, L., Hu, Y., Fan, D., Wang, D. & Wan, X. Electron- Correlation-Induced Charge Density Wave in FeGe. Chi- nese Physics Letters 40, 117103 (2023). URL https: //dx.doi.org/10.1088/0256-307X/40/11/117103

    2023 doi

  60. [72]

    Ma, H.-Y., Yin, J.-X., Hasan, M. Z. & Liu, J. Theory for Charge Density Wave and Orbital-Flux State in An- tiferromagnetic Kagome Metal FeGe. Chinese Physics Letters 41, 047103 (2024). URL https://dx.doi.org/ 10.1088/0256-307X/41/4/047103

    2024 doi

  61. [73]

    & Yan, B

    Tan, H. & Yan, B. Disordered charge density waves in the kagome metal FeGe (2024). URL https://arxiv. org/abs/2410.18063. 2410.18063. Supplemental material on: Competing phases in kagome magnet FeGe from functional renormalization Pietro M. Bonetti, 1, 2 Yi Jiang, 3 Haoyu Hu, ...

    2024 arXiv

  62. [74]

    Jiang, Y. et al. Kagome Materials II: SG 191: FeGe as a LEGO Building Block for the Entire 1:6:6 series: hidden d-orbital decoupling of flat band sectors, effective models and interaction Hamiltonians (2023). 2311.09290

    2023 arXiv

  63. [75]

    & Furthm¨ uller, J

    Kresse, G. & Furthm¨ uller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Computational materials science 6, 15–50 (1996)

    1996

  64. [76]

    & Hafner, J

    Kresse, G. & Hafner, J. Ab initio molecular dynamics for open-shell transition metals. Physical Review B 48, 13115 (1993)

    1993

  65. [77]

    & Hafner, J

    Kresse, G. & Hafner, J. Ab initio molecular dynamics for liquid metals. Physical review B 47, 558 (1993)

    1993

  66. [78]

    & Hafner, J

    Kresse, G. & Hafner, J. Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium. Physical Review B 49, 14251 (1994)

    1994

  67. [79]

    & Furthm¨ uller, J

    Kresse, G. & Furthm¨ uller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Physical review B 54, 11169 (1996)

    1996

  68. [80]

    & Vanderbilt, D

    Marzari, N. & Vanderbilt, D. Maximally localized generalized wannier functions for composite energy bands. Physical review B 56, 12847 (1997)

    1997

  69. [81]

    & Vanderbilt, D

    Souza, I., Marzari, N. & Vanderbilt, D. Maximally localized wannier functions for entangled energy bands. Physical Review B 65, 035109 (2001). 23

    2001

  70. [82]

    A., Yates, J

    Marzari, N., Mostofi, A. A., Yates, J. R., Souza, I. & Vanderbilt, D. Maximally localized wannier functions: Theory and applications. Reviews of Modern Physics 84, 1419 (2012)

    2012

  71. [83]

    Pizzi, G. et al. Wannier90 as a community code: new features and applications. Journal of Physics: Condensed Matter 32, 165902 (2020)

    2020

  72. [84]

    Hu, H. et al. Kagome materials i: Sg 191, scv 6 sn 6. flat phonon soft modes and unconventional cdw formation: Microscopic and effective theory. arXiv preprint arXiv:2305.15469 (2023)

    2023 arXiv

  73. [85]

    Profe, J. B. et al. The kagome Hubbard model from a functional renormalization group perspective (2024). URL https: //arxiv.org/abs/2402.11916. 2402.11916

    2024 arXiv

  74. [86]

    Kiesel, M. L. & Thomale, R. Sublattice interference in the kagome Hubbard model. Phys. Rev. B 86, 121105 (2012). URL https://link.aps.org/doi/10.1103/PhysRevB.86.121105

    2012 doi

  75. [87]

    & Sch¨ onhammer, K

    Metzner, W., Salmhofer, M., Honerkamp, C., Meden, V. & Sch¨ onhammer, K. Functional renormalization group approach to correlated fermion systems. Rev. Mod. Phys. 84, 299–352 (2012). URL https://link.aps.org/doi/10.1103/RevModPhys. 84.299

    2012 doi

  76. [88]

    & Thomale, R

    Platt, C., Hanke, W. & Thomale, R. Functional renormalization group for multi-orbital Fermi surface in- stabilities. Advances in Physics 62, 453–562 (2013). URL https://doi.org/10.1080/00018732.2013.862020. https://doi.org/10.1080/00018732.2013.862020

    2013

  77. [89]

    & Salmhofer, M

    Honerkamp, C. & Salmhofer, M. Temperature-flow renormalization group and the competition between superconductivity and ferromagnetism. Phys. Rev. B 64, 184516 (2001). URL https://link.aps.org/doi/10.1103/PhysRevB.64.184516

    2001 doi

Pith tools

Reviewed August 12, 2026 · model on record in the stance chip above.