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REVIEW 3 major objections 5 minor 112 references

Correlation stabilized ferromagnetic MnRuAs with distorted kagome lattice

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Pith's one-line read Strong electron correlation, modeled by a Hubbard $U_{\mathrm{eff}}=4$ eV on Mn-$3d$ states, stabilizes MnRuAs in its observed $P\bar{6}2m$ kagome structure and yields a stable ferromagnet with dominant c-axis coupling.

desk verdict A transparent but U-sensitive DFT+U study: the phonon stabilization claim is plausible but not yet proven, because the U values that match measured moments sit below the stabilization threshold. read the letter →

arxiv 2501.07412 v1 pith:BHACLT4Y submitted 2025-01-13 cond-mat.mtrl-sci cond-mat.str-el

Anusree C V , Andrzej Ptok , Pawe{l} Sobieszczyk , G. Vaitheeswaran , V. Kanchana This is my paper · ORCID
classification cond-mat.mtrl-scicond-mat.str-el
keywords MnRuAsdistortedkagomelatticeDFT+Uferromagnetismphononstabilitynodalspherequasi-one-dimensionalFermisurfacemagnondispersion
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 sets out to resolve a contradiction: MnRuAs is observed to crystallize in the noncentrosymmetric $P\bar{6}2m$ structure with a distorted kagome lattice and to order ferromagnetically near 496 K, yet ordinary density functional calculations find that structure dynamically unstable. The authors argue that strong on-site Coulomb repulsion among Mn-$3d$ electrons, captured by DFT+U with $U_{\mathrm{eff}}=4$ eV, removes the imaginary phonon modes and stabilizes exactly the experimentally observed phase. With that stabilization, MnRuAs is a stable ferromagnet whose dominant Mn–Mn exchange couplings run along the $c$ axis, giving a parabolic magnon dispersion with pronounced $k_z$ dependence. The same electronic structure produces quasi-one-dimensional Fermi-surface sheets from Ru-As chains and a spherical nodal surface from spin-up/spin-down band crossings near the Fermi level. If this is right, it provides a concrete example of correlation-controlled structural stability in a magnetic kagome-type compound and predicts observable momentum-space features.

What carries the argument

The load-bearing object is the effective Hubbard parameter $U_{\mathrm{eff}}$ applied to Mn-$3d$ states within a rotationally invariant DFT+U scheme. The paper tunes this single parameter and watches the phonon spectrum: at $U_{\mathrm{eff}}$ below roughly 2.5 eV the acoustic branches along A-L-H-A go imaginary, while at $U_{\mathrm{eff}}=4$ eV all modes are positive, and this value is adopted for all subsequent results. Around that stable point, a maximally localized Wannier tight-binding model of 39 orbitals reproduces the DFT band structure and feeds two downstream calculations: the Mn–Mn exchange couplings $J_{ij}$ obtained from a Green's-function method that treats rigid spin rotations as perturbations, and the surface Green's functions for the (001) surface. The argument's moving parts are the $U_{\mathrm{eff}}$-dependent phonon hardening and the c-axis-dominated exchange that together connect correlation strength to the ferromagnetic ground state.

What would settle it

An independent parameter-free estimate of the Mn-$3d$ Hubbard $U$ in MnRuAs (for example, a constrained random-phase approximation) returning a value below about 2.5 eV would undermine the stabilization claim; alternatively, inelastic neutron or X-ray scattering that resolves soft acoustic branches along the A-L-H-A path in the $P\bar{6}2m$ phase would directly falsify the predicted dynamical stability.

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Extended reading notes

Core claim

The central discovery is that strong on-site Coulomb repulsion on Mn-$3d$ orbitals, captured by DFT+U with $U_{\mathrm{eff}}=4$ eV, stabilizes MnRuAs in the experimentally observed $P\bar{6}2m$ structure and produces a stable ferromagnetic state. In plain DFT the phonon spectrum has imaginary soft modes along the A-L-H-A path; above a critical $U_{\mathrm{eff}}$ of roughly 2.5 eV these modes harden, and at 4 eV all frequencies are positive. The magnetic ground state is ferromagnetic, about 0.1 eV per formula unit below the A-type antiferromagnetic state, with a Mn moment of 4.29 $\mu_B$ (experimental value: 3.96 $\mu_B$) and an easy plane perpendicular to $c$. Exchange couplings extracted from a Wannier-based Green's-function method are dominated by Mn pairs stacked along $c$ (8.79 meV at 3.67 Å and 4.27 meV at 5.06 Å), giving a parabolic magnon branch at $\Gamma$ with strong $k_z$ dependence. Electronically, the Fermi surface has two flat quasi-one-dimensional pockets tied to Ru-As chains, and spin-up/spin-down band crossings form a nodal sphere around $\Gamma$; spin-orbit coupling opens a small gap along most of the sphere, leaving an effective nodal ring in the $xy$ plane.

Load-bearing premise

The argument rests on the assumption that the effective on-site Coulomb repulsion for Mn-$3d$ electrons in MnRuAs really is close to 4 eV; if the physical $U_{\mathrm{eff}}$ falls below about 2.5 eV, the phonon calculation says the $P\bar{6}2m$ structure would not be stable, and the main claim would collapse.

Editorial extensions

If this is right

  • MnRuAs should be dynamically stable in the $P\bar{6}2m$ structure at ambient conditions, resolving the earlier contradiction between DFT phonons and experiment.
  • The ferromagnetic ground state is stable, with a Mn moment near 4.3 $\mu_B$ and exchange couplings dominated by Mn pairs stacked along the $c$ axis; the magnon spectrum is parabolic at $\Gamma$ and extends to about 85 meV.
  • Two Fermi-surface pockets are quasi-one-dimensional flat sheets tied to Ru-As chains, implying strongly anisotropic transport and possible nesting-driven density-wave instabilities along $c$.
  • Spin-up/spin-down band crossings form a spherical nodal surface around $\Gamma$; spin-orbit coupling opens only a small gap, leaving a nodal ring in the $xy$ plane that should be visible to momentum-resolved probes.
  • Surface-sensitive measurements should see termination-dependent states: a Dirac-like crossing for the MnAs-terminated (001) surface and hole-like bands crossing the Fermi level for the RuAs termination.

Reading between the lines

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

  • Inference: because the stability threshold is a parameter value rather than a structural feature, isostructural Fe2P-type compounds that show soft modes in plain DFT (for example, MnRuP or MnRhAs) may also be correlation-stabilized, and the same DFT+U prescription could be tested on them.
  • Inference: the quasi-one-dimensional Fermi-surface sheets with high Fermi velocity suggest a nesting-driven charge- or spin-density-wave instability along the $c$ direction; anisotropic resistivity or pressure experiments could look for a transition the paper does not itself predict.
  • Inference: the near-Fermi nodal sphere in a ferromagnet without inversion symmetry is a candidate source of anomalous Hall or magneto-optical response, and measuring those signals would provide an indirect check of the nodal structure.
  • Inference: the comparable energy scales of magnons (about 85 meV) and phonons (about 32 meV) raise the possibility of magnon-phonon hybridization, which inelastic neutron or X-ray scattering could test in the stabilized compound.
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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 / 5 minor

Summary. The paper studies MnRuAs in the noncentrosymmetric P-62m (Fe2P-type) structure using DFT+U (PBE+Dudarev), phonon calculations via Phonopy, Wannier-based tight-binding modeling, exchange-coupling extraction with TB2J, and surface Green-function calculations. The central claim is that strong electronic correlations, represented by Ueff = 4 eV on Mn-3d, stabilize the experimentally observed P-62m structure that is dynamically unstable at lower U, while also yielding a ferromagnetic ground state, dominant exchange coupling along the c axis, quasi-one-dimensional Fermi-surface pockets, and a spin-up/spin-down nodal sphere that becomes a nodal ring under SOC. The paper presents phonon spectra for Ueff = 2 and 4 eV, a U-scan of phonon soft modes in the Supplemental Material, exchange couplings and magnon dispersion at Ueff = 4 eV, electronic band structure and Fermi surface at the same U, and surface spectral functions for both terminations of the (001) surface.

Significance. If the stabilization claim is correct, the paper is a useful example of correlation-driven dynamical stability in a kagome magnet and provides concrete, testable predictions: the FM ground state with strong c-axis coupling, flat Fermi-surface sheets, a nodal sphere near the Fermi level, and termination-dependent surface states. The computational setup is largely standard and well documented (400 eV cutoff, dense k-point grids, systematic U scan for phonons, comparison with experimental lattice constants and moments, and a linear-response U estimate). However, the significance is conditional because the central structural conclusion rests on a single effective U value that is partly selected for producing stability, and the independent experimental constraints (lattice constants and Mn moment) point toward lower U values that would be dynamically unstable in the calculation.

major comments (3)
  1. [Section III.B, Fig. S1, Table S1] The central stabilization claim is not yet established because the physical U for Mn in MnRuAs is not independently constrained. The text states "We adopt Ueff = 4 eV for our subsequent calculations, as this value stabilizes the structure," and the linear-response value of 5.44 eV (Fig. S3) is dismissed as overestimated without a quantitative justification. The literature value of 4.14 eV (Ref. [88]) is for Mn oxides, not for this intermetallic. Table S1 shows that matching the experimental Mn moment of 3.96 uB would place Ueff between roughly 1.5 and 2.0 eV, below the stabilization threshold inferred from Fig. S1 (between 2 and 2.5 eV), and the lattice constants at U = 0 (a = 6.528 A, c = 3.601 A) are closer to experiment (a = 6.518 A, c = 3.619 A) than those at U = 4 (a = 6.623 A, c = 3.671 A). The authors should either provide an independent U determination for MnRuAs (e.g., constrained RPA or a properly justified linear-response calculation) or demonstrate that the stabilization and all qualitative conclusions are robust across a U range compatible with independent observables.
  2. [Sections III.C and III.D] The exchange couplings, magnon dispersion, Fermi surface, and nodal-sphere features are computed only at Ueff = 4 eV, with no sensitivity analysis for other physically plausible U values. Since the phonon instability disappears in the range 2-2.5 eV, it is essential to show whether the qualitative electronic and magnetic predictions (dominant c-axis exchange, flat Fermi-surface sheets, nodal sphere) survive at U values that are not selected by the stabilization criterion, such as U = 2.5 or 3 eV, or at the linear-response value of 5.44 eV. Without such tests, the paper has not demonstrated that these properties are intrinsic to MnRuAs rather than artifacts of the specific DFT+U parameter choice.
  3. [Section III.D, Fig. 6] The nodal sphere is claimed as a key electronic property, but its existence is not shown to be robust or symmetry-protected. The crossings arise between spin-up and spin-down bands in a metallic ferromagnet at a specific Ueff; no symmetry/irrep analysis or U-dependence study is presented, and the SOC gap at the crossings is not quantified numerically. The authors should clarify whether the nodal surface is protected by a symmetry of the P-62m structure or is accidental, and should demonstrate that it remains a closed sphere for a reasonable range of U and lattice parameters.
minor comments (5)
  1. [Section III.B and Fig. S1 caption] The text says that for "Ueff < 2.5 eV" imaginary modes appear and "Ueff > 2 eV" stabilizes the acoustic branches, leaving the critical value ambiguous; the caption or text should state the actual threshold obtained from the calculations.
  2. [Section II] The sentence "The resulting tight-binding model, consisting of 39 orbitals and 78 bands." is a grammatical fragment and should be completed, e.g., by adding "is used for the subsequent analysis."
  3. [Section III.D] The statement "For Mn atoms, the SOC is ~4 meV on p orbitals" is confusing because Mn in the PAW setup has no valence p states and the following sentence discusses As-p orbitals; please clarify which atomic orbitals are meant.
  4. [Figures 6(b)-(c)] The high-symmetry labels g, h, i, m, n, o are used in the band-structure panels but are not defined in the text or in the Brillouin-zone diagrams; please define these points explicitly.
  5. [Throughout] The notation P-bar-62m is rendered inconsistently as "P¯62m" and "P-62m"; please unify to the standard crystallographic notation, e.g., P-62m.

Circularity Check

1 steps flagged · score 5.0 of 10

Central stabilization claim reduces to the choice of Ueff=4 eV, a parameter selected because it yields positive phonons; independent U estimates only partially break the circularity.

  1. fitted input called prediction [Section III.B (Lattice dynamics); Abstract; Table S1; Supplemental Fig. S1]
    "We adopt Ueff = 4 eV for our subsequent calculations, as this value stabilizes the structure. ... In the case of MnRuAs, Ueff calculated using the linear response ansatz of Cococcioni et al. is 5.44 eV ... In our opinion this value is overestimated, and Ueff = 4 eV is a more realistic value."

    The abstract's central result is that strong correlations stabilize P-62m MnRuAs. The strength of correlations is the input Ueff, and the paper explicitly selects Ueff=4 eV because the phonon calculation at that value yields the target outcome (no imaginary modes). Thus the claim 'incorporating strong correlation effects ... we demonstrate the stabilization' largely restates the selection criterion: stability at U=4 eV is an input to the choice of U, not an independent prediction. The paper does not establish that the physical U in MnRuAs exceeds the ~2.5 eV threshold implied by Fig.

full rationale

The main circular step is in Section III.B: the effective Hubbard parameter is not determined independently for MnRuAs. The chosen value, Ueff=4 eV, is justified with the sentence 'as this value stabilizes the structure', which means the predicted stabilization is the criterion used to fix the correlation parameter. The linear-response calculation (5.44 eV) and literature Mn U values (4.14 eV) provide external grounding, and the magnon, electronic band structure, Fermi surface, nodal sphere, and surface-state results are genuine derived outputs computed after the parameter choice. However, the paper's own data create an internal tension: the experimental Mn moment and lattice constants are better reproduced at lower U values where phonons are still unstable, so the only robust indication that physical U lies above the stabilization threshold is the stabilization itself. Because part of the central claim reduces to the fitting of U to the desired phonon outcome, the circularity score is 5 rather than 0; no significant additional circularity was found in the magnon, Fermi-surface, nodal-line, or surface-state derivations.

Assumptions & free parameters 1 free parameters · 5 assumptions · 0 invented entities

The central claims rest on standard DFT-based approximations plus a material-specific Hubbard U choice; the ledger lists the parameter and the key model assumptions that would invalidate the results if changed.

free parameters (1)
  • U_eff (Hubbard parameter for Mn-3d) = 4 eV
    Chosen because it stabilizes the P-62m structure; linear response gives 5.44 eV (considered overestimated) and literature Mn value ~4.14 eV; the central phonon-stability result depends on U exceeding the critical value ~2.5 eV.
assumptions (5)
  • domain assumption PBE+U with Dudarev's formulation captures the essential correlation physics of Mn-3d electrons in MnRuAs.
    The central stabilization and magnetic results rest on this approximate functional; the paper does not benchmark against other functionals (e.g., hybrid or DMFT).
  • standard math The harmonic approximation is valid for phonon stability; imaginary modes indicate true dynamical instability.
    Phonopy uses the Parlinski-Li-Kawazoe method with harmonic interatomic force constants; anharmonic effects or temperature-dependent stabilization are not considered.
  • domain assumption The Heisenberg Hamiltonian H = -Sum J_ij e_i dot e_j with exchange parameters from TB2J accurately describes the magnetic excitations.
    Magnon dispersion is computed from a classical spin Hamiltonian; quantum fluctuations, damping, and higher-order interactions are neglected. The paper notes strong coupling along c but uses this simple model.
  • domain assumption The Wannier tight-binding model (39 orbitals) faithfully reproduces the DFT band structure, including the spin-up/spin-down crossings that form the nodal sphere.
    The nodal surface and surface state calculations rely on Wannier interpolation; no dis entanglement error or band structure comparison is shown in the SM.
  • domain assumption Surface Green function calculations for a semi-infinite system without surface relaxation or reconstruction are adequate for predicting (001) surface states.
    The authors state 'surface relaxation and potential reconstruction could significantly alter the surface state dispersion... beyond the scope' (Section III.D).

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Pith. "Pith review of Correlation stabilized ferromagnetic MnRuAs with distorted kagome lattice." pith.science (2026). https://pith.science/paper/BHACLT4Y

@misc{pith2026250107412,
  author       = {Pith},
  title        = {Pith review of: Correlation stabilized ferromagnetic MnRuAs with distorted kagome lattice},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/BHACLT4Y}},
  note         = {Machine review of arXiv:2501.07412}
}
abstract

We present an in-depth analysis of MnRuAs, a compound crystallizing in the P$\bar{6}$2m symmetry with a distorted kagome lattice, revealing its distinctive structural, magnetic, and electronic properties through state-of-the-art ab initio calculations. By incorporating strong correlation effects using the DFT+U approach, we demonstrate the stabilization of MnRuAs, transforming its inherent dynamical instability into a robust ferromagnetic state with significant coupling along the $c$ axis. The calculated magnon dispersion reveals a parabolic profile with a minimum at the $\Gamma$ point, indicative of ferromagnetic behavior. Furthermore, MnRuAs exhibits intriguing electronic properties, including quasi-one-dimensional Fermi surface and the formation of nodal sphere. Our study also delves into the electronic surface states and constant energy contours, offering valuable insights into the complex physics of this material.

Figures

Figures reproduced from arXiv: 2501.07412 by the authors.

Figure 1
Figure 1. FIG. 1. Crystal structure of MnRuAs with [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. The influence of correlation effects on the phonon dispersion curves. Phonon dispersion curves of MnRuAs for [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 4
Figure 4. FIG. 4. Electronic band structure (a) and density of states [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figures from the paper (5 more)
Figure 3
Figure 3. Figure 3: FIG. 3. The calculated exchange constants [PITH_FULL_IMAGE:figures/full_fig_p004_3.png]
Figure 5
Figure 5. Figure 5: FIG. 5. The Fermi surface of MnRuAs with [PITH_FULL_IMAGE:figures/full_fig_p005_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. Realization of the nodal sphere. The electronic band structure (a)-(c), along different directions of the Brillouin zone [PITH_FULL_IMAGE:figures/full_fig_p006_6.png]
Figure 7
Figure 7. Figure 7: FIG. 7. The surface Green function for the MnRuAs (001) [PITH_FULL_IMAGE:figures/full_fig_p007_7.png]
Figure 8
Figure 8. Figure 8: FIG. 8. The constant energy contour of the surface Green function for the MnRuAs (001) surface is shown for MnAs [PITH_FULL_IMAGE:figures/full_fig_p008_8.png]

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Pith tools

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