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High-pressure modulation of breathing kagome lattice: Cascade of Lifshitz transitions and evolution of the electronic structure

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Pith's one-line read Pressure suppresses and then reverses the breathing distortion in kagome metal Fe3Sn2, triggering a cascade of Lifshitz transitions.

desk verdict Solid structural result, fragile optical interpretation; the Lifshitz cascade needs better error analysis before it is established. read the letter →

arxiv 2502.02123 v1 pith:MHEZAUYG submitted 2025-02-04 cond-mat.str-el

Marcos V. Gonçalves-Faria , Maxim Wenzel , Yuk Tai Chan , Olga Iakutkina , Francesco Capitani , Davide Comboni , Michael Hanfland , Qi Wang
show 7 more authors
Hechang Lei Martin Dressel Alexander A. Tsirlin Alexej Pashkin Stephan Winnerl Manfred Helm Ece Uykur
This is my paper · ORCID
classification cond-mat.str-el PACS 71.18.+y62.50.-p78.20.-e71.27.+a
keywords kagomemetalbreathingdistortionLifshitztransitionFe3Sn2highpressureopticalconductivityelectroniccorrelationsFermisurface
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

This paper shows that pressure directly tunes the geometry of the kagome lattice (a network of corner-sharing triangles) in the ferromagnetic metal Fe3Sn2. Single-crystal X-ray diffraction finds that the long Fe–Fe bond inside each kagome layer shrinks faster than the short one, so the breathing distortion vanishes near 15 GPa and is reversed at higher pressure. Infrared and pump-probe spectroscopy, backed by density-functional calculations, link this structural crossover to a cascade of Lifshitz transitions, reconfigurations of the Fermi surface in which new electron pockets appear or vanish. In the paper's reading, electronic correlations and carrier localization grow stronger as the kagome network becomes more regular, opposite to the usual expectation that pressure delocalizes carriers. If the claim is right, the breathing mode becomes a control parameter for the electronic regime of kagome metals, tunable by pressure or strain.

What carries the argument

The load-bearing object is the breathing distortion coordinate of the kagome layer, the difference between the alternating long and short Fe–Fe bonds around each hexagon, which reverses when the long bond catches up near 15 GPa. Its evolution is read out through three coupled probes: single-crystal X-ray diffraction of Fe–Fe bond distances; the intraband optical conductivity, decomposed into a conventional Drude term, a displaced-Drude localization peak, and interband transitions, whose spectral weight yields the plasma frequency; and the correlation ratio $\omega_p^2(\mathrm{exp})/\omega_p^2(\mathrm{DFT})$ comparing experiment with density-functional calculations. The same structural coordinate is tied to phonon dynamics through the 2.4 THz A1g mode, which softens under pressure as the Sn1 atoms move out of the kagome plane.

What would settle it

Pressure-dependent quantum oscillations or Hall-effect measurements in a hydrostatic helium cell would settle the claim: a new Fermi-surface pocket near the K point should appear around 10 GPa, the Γ pockets should disappear around 15 GPa, and transport coefficients should show kinks at the same pressures; their absence would falsify the cascade.

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Extended reading notes

Core claim

The central discovery is that the breathing distortion of Fe3Sn2's kagome bilayer is not rigid: compression couples to the Fe atoms and makes the two inequivalent Fe–Fe bonds within a kagome layer converge. At about 15 GPa the layer becomes a regular kagome lattice, and above that the distortion reverses sign. This structural evolution is accompanied by a cascade of Lifshitz transitions: the plasma frequency and the ratio of experimental to density-functional plasma frequency change non-monotonically around 10 and 16 GPa, the calculated Fermi surface grows a new sheet near the K point and then loses sheets near Γ, and the magnetic moment shows a kink near 15 GPa. As the network becomes regular, the displaced-Drude localization peak shifts to higher energy rather than collapsing into a conventional Drude term, and both correlation strength and two-carrier relaxation dynamics evolve toward values seen in undistorted kagome metals. The paper concludes that the regular-network regime has the same correlation strength as ambient pressure but with substantially more carriers.

Load-bearing premise

The argument stands on the assumption that at every pressure the optical conductivity splits cleanly into a conventional Drude term, a displaced-Drude localization peak, and interband transitions, so the kinks in the fitted plasma frequency mark genuine Fermi-surface events rather than artifacts of the fitting procedure.

Editorial extensions

If this is right

  • Around 15 GPa, Fe3Sn2 sits in its most correlated state, and squeezing further reduces the correlation strength while leaving the system strongly correlated up to at least 18 GPa.
  • The localization peak moving to higher energy with pressure shows that carriers remain localized in a regular kagome network, so the breathing distortion itself, not just compression, controls carrier localization.
  • A further Fermi-surface reconstruction is expected at higher pressures once the reversed-distortion regime is fully established, with carrier concentration substantially higher than at ambient pressure.
  • The relaxation times measured under pressure approach those of undistorted kagome-layer compounds, suggesting a common electron-dynamics regime for regular kagome networks.
  • Strain, not only hydrostatic pressure, should be able to tune the breathing distortion and reshape the electronic structure.

Reading between the lines

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

  • Beyond the paper, a direct test of the inferred Fermi-surface cascade would be quantum-oscillation or Hall measurements in a helium-pressure cell: a new oscillation frequency near the K pocket should appear around 10 GPa, and the Γ pockets should vanish around 15 GPa.
  • If carrier localization truly strengthens as the kagome network becomes regular, other regular-kagome metals should also show a displaced-Drude peak that resists pressure, which could be checked against existing high-pressure optical data.
  • The vanishing of the coherent 2.4 THz phonon amplitude above 5 GPa, despite the mode hardening, suggests the electron-phonon matrix element drops as Sn1 leaves the kagome plane; pressure-dependent phonon linewidths or resonant Raman would test this directly.
  • The paper's correlation-ratio estimate depends on the density-functional plasma frequency evaluated at the measured atomic coordinates, so reporting raw experimental and calculated plasma frequencies separately would make the pressure evolution easier to scrutinize.
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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

4 major / 6 minor

Summary. The manuscript reports a combined high-pressure single-crystal XRD, infrared reflectivity, ultrafast pump-probe, Raman, and DFT study of the bilayer kagome metal Fe3Sn2. The structural part shows that the breathing distortion of the kagome lattice is gradually suppressed with pressure and reverses above roughly 15 GPa, with no structural phase transition up to 28 GPa. From fits of the optical conductivity, the authors extract a pressure-dependent plasma frequency and identify non-monotonic kinks at about 10 and 16 GPa as Lifshitz transitions, supported by PBE Fermi-surface calculations. They further report that the localization peak shifts to higher energies and that the fast relaxation dynamics are suppressed, interpreting these as signatures of enhanced electronic correlations and carrier localization as the kagome network becomes more regular.

Significance. The XRD result—a pressure-driven suppression and reversal of the breathing distortion in a kagome metal—is a valuable and apparently robust finding, and the use of multiple complementary probes (XRD, optics, pump-probe, Raman, and DFT) is a strength. If the Lifshitz-transition scenario holds, the paper would establish the breathing distortion as a control parameter for electronic correlations in kagome metals. However, the central electronic claim currently rests on the model-dependent extraction of plasma frequencies and on Fermi-surface reconstructions that are not independently verified. The paper is therefore significant but not yet convincing in its quantitative claims.

major comments (4)
  1. [SM Eq. (4), Fig. 3(e)] The kinks at about 10 and 16 GPa in the experimental plasma frequency are the principal experimental evidence for the Lifshitz transitions, but omega_p is obtained from a multi-component fit (Drude + displaced Drude + Lorentzian interbands) with no reported error bars or sensitivity analysis. Because the intraband spectral weight is the residual after subtracting the interband model and integrating up to a cutoff omega_c, the non-monotonic features could result from trade-offs among fit parameters, especially where interband transitions grow with pressure. Please provide uncertainties from the fits, show the stability of omega_p(P) under alternative decompositions (e.g., two Drude terms or extended Drude) and under different omega_c values, and state explicitly whether Eq. (4) is applied to the fitted intraband components or to the measured sigma_1(omega) after subtraction.
  2. [SM Eq. (3), section "Pressure-induced Lifshitz transitions"] The correlation ratio is defined as the ratio of experimental to DFT plasma frequencies, but the DFT side is not parameter-free: the calculated optical conductivity is rescaled in energy by a factor of about 2 to match the interband spectra, and no discussion is given of how this rescaling or the choice of PBE affects the DFT plasma frequency and hence the reported enhancement of correlations near 15 GPa. The conclusion that Fe3Sn2 "reaches its most correlated state" at the suppression of the breathing distortion therefore needs a quantitative uncertainty statement or a demonstration that the trend is robust against reasonable variations in the DFT treatment.
  3. [Conclusions, item (i); Fig. 2(h)] The Conclusions list "anomaly in pressure dependence of the magnetic moment" as one of the experimental signatures of the Lifshitz transitions, but Fig. 2(h) is a DFT-computed magnetic moment, not a measured quantity. This is a misattribution: the calculated kink is a theoretical prediction that should be labeled as such, and it should not be presented as independent experimental evidence.
  4. [Fig. 3(g), main text] The Fermi-surface reconstructions used to identify the Lifshitz transitions—appearance of a sheet near K around 10 GPa and disappearance of sheets near Gamma around 15 GPa—are obtained from PBE band structures that are only benchmarked against the rescaled interband optical conductivity. No independent probe (quantum oscillations, Hall coefficient, or specific heat) is provided to confirm the topological changes. The claim that the cascade is "evidenced by several experimental signatures" is therefore overstated; at present the only direct experimental signatures are the kinks in the model-dependent plasma frequency. Please qualify the identification or add corroborating data.
minor comments (6)
  1. [Title] The title contains a typo: "Cas cade" should be "Cascade".
  2. [Acknowledgements] "syncrothron" should be spelled "synchrotron" in the acknowledgement of ESRF.
  3. [Section "Pressure-induced Lifshitz transitions"] The phrase "rescaled by ∼ /2" is incomplete; please specify whether the rescaling factor is 1/2 or 2 and define it precisely.
  4. [SM Eq. (4)] The sentence defining omega_c says that it is the upper limit of the measurement window and also "enough to cover the contributions from Drude and localization"; please clarify whether interband contributions are subtracted before the integral and how the cutoff is chosen for each pressure.
  5. [Fig. 3(e)] Plotting the experimental and calculated plasma frequencies together with the correlation ratio would be more informative if error bars or at least a statement of the fit uncertainty were included; please add them.
  6. [Conclusions] The phrase "This regime may be particular unusual" should read "particularly unusual".

Circularity Check

1 steps flagged · score 3.0 of 10

One definitional step: 'correlation strength' is defined as the fitted plasma-frequency ratio, so its pressure peak is tautological; the structural and Lifshitz-transition findings rest on independent XRD and DFT.

  1. self definitional [Supplemental Material, 'Electronic correlations', Eqs. (3)-(4); main text, 'Pressure-induced Lifshitz transitions' (paragraph beginning 'The direct comparison...')]
    "The strength of the electronic correlations can be assessed by the comparison of the plasma frequencies obtained via experiment and DFT with the following equation: correlation ratio = ω_p^2(experiment)/ω_p^2(DFT) (3) ... Our pressure-dependent study shows that Fe3Sn2 reaches its most correlated state with the suppression of the breathing distortion. Above this crossover, the correlation strength decreases; however, up to at least ∼ 18 GPa, it remains highly correlated."

    The conclusion that Fe3Sn2 'reaches its most correlated state' with the suppression of the breathing distortion is not an independent derivation: the paper defines 'correlation strength' by Eq. (3), the ratio of the experimental plasma frequency, which is itself obtained by integrating the fitted Drude+localization spectral weight (Eq. (4)), to the DFT plasma frequency. Therefore 'most correlated state' is, by construction, the pressure at which this fitted ratio is maximal; the claimed enhancement of correlations as the kagome network becomes regular is a restatement of the ratio's pressure dependence.

full rationale

The core structural result—suppression of the breathing distortion near 15 GPa and its reversal—is grounded in independent single-crystal XRD measurements on the Fe-Fe bond lengths, with no circularity. The cascade of Lifshitz transitions is inferred primarily from non-monotonic kinks in the fitted plasma frequency and is corroborated by DFT Fermi-surface topology changes computed from experimentally determined lattice parameters; the DFT is not fitted to the claimed transition pressures, though it is benchmarked against the same optical data after a ~1/2 energy rescaling. The 'correlation strength' enhancement, however, is defined by Eq. (3) as a ratio of experimental to DFT plasma frequencies, so the highlighted statement that correlations peak with the suppression of the breathing distortion reduces by construction to the maximum of that ratio; this is a transparent definitional metric rather than a separate first-principles prediction. There is no load-bearing uniqueness theorem, no fitted parameter renamed as an independent prediction, and no self-citation chain that forces the central structural outcome. The main residual concern—that the plasma-frequency extraction depends on an assumed Drude + displaced-Drude + interband decomposition and lacks error bars—is a model-robustness issue rather than a circularity of the derivation.

Assumptions & free parameters 3 free parameters · 3 assumptions · 0 invented entities

The central claims rest on the fitted optical decomposition and on DFT calculations with an ad hoc rescaling; the XRD structural determination is the only fully independent measurement. No new theoretical entities are introduced.

free parameters (3)
  • KK correction pole omega_beta = ~25,000 cm^-1
    Used in the sample-diamond KK phase correction (SM Eq. 2). Estimated by matching the 1 GPa optical conductivity to the ambient pressure spectrum; affects all absolute optical quantities.
  • Drude, displaced-Drude, and Lorentzian oscillator parameters = per-pressure values
    The optical conductivity at each pressure is decomposed into these components (Fig. 3a,b). The plasma frequency, localization peak resonance, and their pressure dependences are extracted from this fit, and the Lifshitz transition claim depends on these.
  • DFT optical conductivity rescaling factor = ~1/2
    The calculated interband optical conductivity is rescaled by about 1/2 to match the experimental energy scale, attributed to correlation-driven band renormalization. This factor is chosen ad hoc and affects the visual comparison in Fig. 3(c,d).
assumptions (3)
  • domain assumption PBE DFT with spin-orbit coupling and ferromagnetic order along c-axis adequately describes the electronic structure and Fermi surface of Fe3Sn2 under pressure.
    The DFT result is used to map the Lifshitz transitions and to define the correlation ratio. The paper itself notes the need for a ~1/2 energy rescaling, indicating the DFT is not quantitatively accurate, so its topological predictions are a trusted assumption.
  • domain assumption The intraband optical response is well represented by a Drude term plus a displaced-Drude localization peak, and the interband background can be reliably separated.
    This decomposition underpins the plasma frequency and localization peak extraction. The displaced-Drude model relies on prior theoretical work (Refs. 47,48) and may not be unique for strongly correlated systems.
  • domain assumption Kramers-Kronig analysis with a single corrective pole omega_beta is valid for the sample-diamond interface reflectivity.
    The phase correction in SM Eq. 2 requires an unknown parameter omega_beta, estimated from one pressure point. Systematic uncertainties in this estimate are not discussed.

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Pith. "Pith review of High-pressure modulation of breathing kagome lattice: Cascade of Lifshitz transitions and evolution of the electronic structure." pith.science (2026). https://pith.science/paper/MHEZAUYG

@misc{pith2026250202123,
  author       = {Pith},
  title        = {Pith review of: High-pressure modulation of breathing kagome lattice: Cascade of Lifshitz transitions and evolution of the electronic structure},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/MHEZAUYG}},
  note         = {Machine review of arXiv:2502.02123}
}
abstract

The interplay between electronic correlations, density wave orders, and magnetism gives rise to several fascinating phenomena. In recent years, kagome metals have emerged as an excellent platform for investigating these unique properties, which stem from their itinerant carriers arranged in a kagome lattice. Here, we show that electronic structure of the prototypical kagome metal, Fe$_3$Sn$_2$, can be tailored by manipulating the breathing distortion of its kagome lattice with external pressure. The breathing distortion is suppressed around 15 GPa and reversed at higher pressures. These changes lead to a series of Lifshitz transitions that we detect using broadband and transient optical spectroscopy. Remarkably, the strength of the electronic correlations and the tendency to carrier localization are enhanced as the kagome network becomes more regular, suggesting that breathing distortion can be a unique control parameter for the microscopic regime of the kagome metals and their electron dynamics.

Figures

Figures reproduced from arXiv: 2502.02123 by the authors.

Figure 1
Figure 1. FIG. 1. Summary of the experimental methods used in the prese [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Pressure-dependent structural parameters of Fe [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. (a-b) Decomposition of the optical conductivity at t [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: FIG. 4. (a-b)Pressure-dependent transient reflectivity. ( [PITH_FULL_IMAGE:figures/full_fig_p007_4.png]

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