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REVIEW 4 major objections 5 minor 47 references

Thermodynamic and electrical transport properties of the half-Heusler plumbide TbAuPb

T0 review · 4 major / 5 minor · reviewed 2026-08-02 · deepseek-v4-flash

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Pith's one-line read The half-Heusler TbAuPb is calculated to be a band-inverted semimetal whose band topology flips when ferromagnetic order sets in.

desk verdict Solid first characterization of a new half-Heusler, but the topological headline is a conditional DFT statement about states that were not measured; the authors mostly admit this, and the abstract overstates it. read the letter →

arxiv 2607.14011 v1 pith:YEBX2URC submitted 2026-07-15 cond-mat.str-el cond-mat.mtrl-sci

Abhinav Agarwal , Snehashish Chatterjee , Maciej J. Winiarski , Orest Pavlosiuk , Dorota A. Kowalska , Piotr Wisniewski , Dariusz Kaczorowski This is my paper · ORCID
classification cond-mat.str-elcond-mat.mtrl-sci
keywords half-HeuslerTbAuPbtopologicalsemimetalbandinversionantiferromagnetismmagnetoresistanceangularHalleffect
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

TbAuPb is a newly grown half-Heusler compound, and this paper sets out to establish that it is a band-inverted semimetal sitting near a topological critical point. First-principles calculations show that if the material were nonmagnetic, the Γ6 and Γ8 states at the zone centre would be inverted—the configuration that makes half-Heuslers topologically nontrivial—while in the field-induced ferromagnetic state the band order becomes trivial. The experiments characterise the actual material: it orders antiferromagnetically at 5 K, undergoes a spin-reorientation near 5 T, and shows semimetallic, hole-dominated, multiband transport with a butterfly-shaped angular magnetoresistance above the transition. A sympathetic reading is that TbAuPb is a promising platform for studying how magnetism toggles band topology, with the caveat that the topology claim rests on calculations of magnetic states that bracket, but do not include, the real antiferromagnetic ground state.

What carries the argument

The engine of the claim is band inversion between the Γ6 and Γ8 states at the zone centre, the established ordering criterion for topology in half-Heusler compounds. Strong spin-orbit coupling, amplified by the heavy Tb, Au and Pb atoms, pushes the Γ8 manifold above the Γ6 state in the nonmagnetic calculation; exchange splitting in the ferromagnetic calculation reverses this order. The paper also uses the band-inversion strength parameter t = (Z_T + Z_X)V, whose value for TbAuPb (~49 nm^3) is close to those of known band-inverted half-Heuslers, to argue that the compound is near the threshold where external tuning can switch the topology.

What would settle it

Determine the magnetic structure of the antiferromagnetic ground state by neutron diffraction and compute the band structure with that order and spin-orbit coupling; if the Γ6/Γ8 inversion disappears in the antiferromagnetic state, TbAuPb is not a band-inverted semimetal in its real ground state. An independent check is angle-resolved photoemission: a nontrivial band inversion would yield an odd number of surface-state crossings at the Fermi level, which ARPES can observe.

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Extended reading notes

Core claim

The central claim is that TbAuPb, a heavy half-Heusler with all three constituents from the lower part of the periodic table, has inverted Γ6/Γ8 band order in its nonmagnetic state, making it a topological semimetal candidate; in the ferromagnetic state the calculation restores a trivial band order, though with a transient character near the Γ7/Γ6 states. The paper backs this with the experimental finding of a semimetallic, hole-dominated transport and an antiferromagnetic ground state whose spin reorientation at about 5 T is strongly coupled to the transport. The calculations also show the band inversion survives moderate pressure but can collapse at higher pressure, and the authors place t

Load-bearing premise

The band-topology conclusion is drawn from density-functional calculations of the nonmagnetic and ferromagnetic states, but the material's actual zero-field ground state is antiferromagnetic with an unknown spin arrangement; if the antiferromagnetic exchange splitting changes the Γ6/Γ8 ordering, the central claim about band inversion collapses.

Editorial extensions

If this is right

  • If the calculations are right, TbAuPb is a new member of the rare-earth half-Heusler family in which magnetism can drive a topological-to-trivial transition in a single material.
  • Its position close to a topological critical point means moderate hydrostatic pressure or chemical substitution could push it across the transition in zero field, offering a knob for topology.
  • The observed anomalies in the Hall effect and the butterfly-shaped angular magnetoresistance near the spin-reorientation field could serve as transport fingerprints of the topology switch, testable by future experiments.
  • Because the crystals are clean single crystals, ARPES and quantum oscillation measurements can directly check the predicted Fermi-surface pockets and band inversion.

Reading between the lines

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

  • The real zero-field ground state is antiferromagnetic, not nonmagnetic; unless the AFM exchange splitting preserves the Γ6/Γ8 inversion, the 'band-inverted semimetal' description may hold only for a hypothetical paramagnetic phase, leaving the material's true zero-field topology open.
  • The field-induced high-field state is described as non-collinear and its magnetization does not saturate, so the collinear ferromagnetic calculation may not represent the state the field actually produces; a calculation with the true non-collinear order could alter the predicted triviality.
  • The supplementary pressure calculation suggests that a few-percent lattice compression changes the Γ6 band position; strain engineering in thin films might thereby be a practical way to switch the topology, a route not explored in the paper.
  • The butterfly-shaped angular magnetoresistance resembles what has been attributed to magnetic band reconstruction in other half-Heuslers; testing whether it tracks the calculated band-order change as a function of field direction would separate topology-driven from purely magnetic effects.
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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 / 5 minor

Summary. The paper reports a combined experimental and computational study of the new half-Heusler compound TbAuPb. Single crystals are grown by self-flux, characterized by EDX and single-crystal XRD, and studied via magnetization, specific heat, resistivity, magnetoresistance, angular magnetoresistance, and Hall effect. The compound orders antiferromagnetically at TN = 5 K and shows a field-induced transition near Bc ≈ 5 T into a different, suspected non-collinear antiferromagnetic phase. Transport is semimetallic and hole-dominated, with multiband Hall response at high temperatures. DFT calculations (MBJGGA, MBJGGA+U) are used to argue that nonmagnetic TbAuPb is a band-inverted semimetal and that a hypothetical ferromagnetic state has a topologically trivial band order, placing the compound near a topological critical point. The abstract and summary present band inversion and the field-induced transition to a topologically trivial state as central findings.

Significance. If the topological interpretation were established, TbAuPb would be a welcome new member of the small family of magnetic half-Heuslers in which magnetism and band topology can be tuned by a magnetic field, complementing recent work on GdAuPb and RAuSn. The experimental part is carefully done: the structure solution, stoichiometry, thermodynamic transitions, and the systematic magnetotransport dataset are valuable and likely reproducible. The authors also deserve credit for explicitly stating the limitation of DFT without the experimental magnetic structure. However, the paper's headline claim is not supported by the calculations as presented: no topological invariant is computed, and the calculated nonmagnetic and ferromagnetic states do not correspond to the measured ground state or the measured high-field phase. The central claim therefore needs substantial revision or additional work before publication.

major comments (4)
  1. [Abstract, §III.A, §IV] The central claim is that TbAuPb is band-inverted in the nonmagnetic state and becomes topologically trivial in the 'field-induced ferromagnetic state.' This does not match the experimental facts reported in §III.A and §III.B: the zero-field ground state is antiferromagnetic (TN = 5 K), and the high-field phase above Bc ≈ 5 T is described as 'a different antiferromagnetic phase' with non-collinear moments; magnetization does not saturate up to 7 T. The DFT in §IV models a hypothetical nonmagnetic state and a ferromagnetic state with M ∥ [001], and the authors themselves state that AFM calculations without the magnetic structure 'may prove questionable or completely inadequate.' Thus the computed band ordering is not demonstrated to apply to the real material. Either the claims about the actual material must be removed/reframed as hypothetical, or the AFM band structure must be computed o
  2. [§IV, Fig. 5] The band-inversion/topological-triviality conclusion is inferred solely from the s/p orbital character of the Γ6/Γ7/Γ8 bands. No topological invariant — Z2 index, Wilson loop, or surface-state calculation — is presented. This is insufficient for half-Heuslers: as the paper itself notes (ref. 43), ARPES on RPtBi shows trivial metallic surface states even when bulk calculations suggest an inverted gap. The phrase 'transient state between topologically trivial and nontrivial band order' is also not defined quantitatively. A concrete topological invariant calculation for the nonmagnetic phase and for the candidate magnetic phases is needed before the words 'topologically trivial/nontrivial' can be used.
  3. [§III.B, Summary] The summary states that the Hall resistivity 'indicates the presence of anomalous Hall effect in the AFM state,' but the text in §III.B says the anomalous Hall resistivity 'cannot be reliably separated from the experimental Hall data because of multiband contributions, and also the magnetization does not saturate.' The observed slope change near Bc is explicitly attributed to either a modification of anomalous Hall or Fermi-surface reconstruction. Since the paper highlights anomalous Hall as one of the phenomena to be explored, the claim in the Summary should be softened to a possibility, or a quantitative subtraction/analysis must be provided.
  4. [Eq. (1), Table I] The two-band Hall analysis is used to support the 'hole-dominated multiband' conclusion, but the fitted parameters in Table I show a very large and non-monotonic variation of n1 (1.5×10^19 at 100 K, 3.8×10^18 at 200 K, 6.5×10^19 at 300 K) with no error bars or stability discussion. In addition, Eq. (1) contains an undefined factor 1/m, where m is described as 'the number of Fermi pocket'; this looks like a typo and should be clarified. The qualitative conclusion of hole-dominated transport is plausible, but the quantitative claim of multiband analysis needs more care.
minor comments (5)
  1. [Abstract] The abstract first says the high-field phase is 'a different antiferromagnetic phase' and then refers to the 'field-induced ferromagnetic state' in the last sentence. This internal inconsistency should be fixed.
  2. [Eq. (1)] Please define all symbols in Eq. (1) and remove or explain the factor 1/m. As written, the formula does not match the standard two-band Hall conductivity expression.
  3. [§II.A] 'The experimental lattice parameter of the face-centered cubic primitive cell' is confusing: the conventional cubic cell has a = 6.745 Å. Please clarify the cell used in the DFT calculations.
  4. [References] Several references are incomplete or malformed: ref. 10 lacks volume/page details ('Adv. Funct. Mater., e22474 (2025)'), ref. 26 similarly lacks volume/page, and ref. 38 has a garbled author string ('G. Y. Y.-C. L. X. Xi').
  5. [Fig. 6] The caption and text say the FM band structure was calculated for magnetization directions [001], [111], and [011], but only [001] is discussed in detail in the main text. Briefly state whether the same U and convergence parameters were used for all three directions.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the central DFT band-ordering claims are derived from first-principles calculations, not from fitted transport or thermodynamic parameters.

full rationale

The paper's derived claims do not reduce to their own inputs. The Curie-Weiss fit (Sec. III A) and the two-band Hall fit (Eq. 1, Table I) are descriptive quantifications of measured data; neither is used as input to the band-structure calculations. The band-inversion and topological statements in Sec. IV come from MBJGGA and MBJGGA+U DFT calculations, whose stated inputs are the experimental lattice parameter, exchange-correlation functionals, spin-orbit coupling, and an assumed Hubbard Ueff = 7 eV. No fitted transport or thermodynamic constant appears in the derivation, and no equation in the paper is algebraically identical to a fitted quantity. The self-citations (refs. 10, 14, 25, 26) appear only in contextual remarks about thermoelectricity, superconductivity, and RAuSn analogs; they are not used to justify the central band-ordering conclusion. The paper explicitly flags its own limitation: "without knowledge of the magnetic structure of this material, the results of such calculations may prove questionable or completely inadequate" (Sec. IV); this is a model-validity caveat, not a circular reduction. The mismatch between the measured AFM/non-collinear high-field phase and the modeled nonmagnetic/ferromagnetic states is a correctness or applicability risk, which falls outside the definition of circularity.

Assumptions & free parameters 2 free parameters · 4 assumptions · 0 invented entities

The central claim rests on standard experimental characterization plus DFT assumptions. The most fragile inputs are the arbitrary Hubbard U and the use of nonmagnetic/ferromagnetic calculations for a material whose actual state is antiferromagnetic. No new physical entities are introduced.

free parameters (2)
  • Hubbard Ueff for Tb 4f states = 7 eV
    Chosen by hand in MBJGGA+U calculations; affects band ordering and topology; no justification or sensitivity analysis is given (Section II B).
  • Two-band Hall carrier concentrations/mobilities = n1 = 1.5e19–6.5e19 cm^-3, n2 = 8.6e16–2.0e17 cm^-3, mu1 = 218–412, mu2 = 1576–3366 cm^2/Vs (Table I)
    Fitted to Hall conductivity at T >= 100 K using Eq. 1; supports the multiband/hole-dominated transport claim but is not used to force the topological conclusion.
assumptions (4)
  • domain assumption Nonmagnetic DFT band structure is a valid proxy for the AFM ground state of TbAuPb
    No AFM magnetic structure is known; the authors state AFM calculations could be 'questionable or completely inadequate' (Section IV), yet the nonmagnetic band structure is used to infer band inversion.
  • domain assumption DFT with MBJGGA+U, SOC, and Ueff = 7 eV correctly orders Γ6/Γ8 states in TbAuPb
    The topological classification depends on the relative positions of Γ6/Γ8 bands, which is sensitive to the exchange-correlation functional and Hubbard U (Section II B, Section IV).
  • domain assumption Band inversion between Γ6 and Γ8 states is sufficient to infer topological nontriviality
    The paper uses the standard half-Heusler band-inversion criterion from refs. [2,4,27], but does not compute a Z2 or Berry-curvature invariant.
  • ad hoc to paper The high-field phase reached at Bc ≈ 5 T is effectively ferromagnetic for the band-structure comparison
    Experiments show only a field-induced change in the AFM structure with non-collinear moments; magnetization does not saturate. The FM calculation is an assumed state not confirmed by the measurements (Section III A, IV).

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Cite this review

Pith. "Pith review of Thermodynamic and electrical transport properties of the half-Heusler plumbide TbAuPb." pith.science (2026). https://pith.science/paper/YEBX2URC

@misc{pith2026260714011,
  author       = {Pith},
  title        = {Pith review of: Thermodynamic and electrical transport properties of the half-Heusler plumbide TbAuPb},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/YEBX2URC}},
  note         = {Machine review of arXiv:2607.14011}
}
read the original abstract

Structural, thermodynamic and electrical transport properties of TbAuPb were investigated on single crystals. The compound was found to crystallize with the cubic MgAgAs-type structure characteristic of half-Heusler materials. It orders antiferromagnetically at TN = 5 K and undergoes a transition into a different antiferromagnetic phase emerging in high magnetic fields. Electrical transport in TbAuPb exhibits a multiband character, with a predominance of hole-like carriers. Angular magnetoresistance evolves systematically with applied magnetic field and changes its symmetry near the spin-reorientation transition, highlighting strong coupling between the charge transport and the magnetic order. The results of first-principles calculations indicate that TbAuPb is a band inverted semimetal in the non-magnetic state, which becomes topologically trivial in the field-induced ferromagnetic state.

Figures

Figures reproduced from arXiv: 2607.14011 by the authors.

Figure 1
Figure 1. FIG. 1. (a) Temperature dependence of the inverse mag [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. (a) Temperature variation of the electrical resistivity of single-crystalline TbAuPb measured with electric current [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. (a) Mutual arrangement of magnetic field and electric current in measurements of the angular magnetoresistance in [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figures from the paper (3 more)
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Hall resistivity of single-crystalline TbAuPb measured as a function of magnetic field at different temperatures in [PITH_FULL_IMAGE:figures/full_fig_p005_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. (a) Electronic structure of nonmagnetic TbAuPb [PITH_FULL_IMAGE:figures/full_fig_p006_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. Band structures calculated (MBJGGA+ [PITH_FULL_IMAGE:figures/full_fig_p007_6.png]

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Reviewed August 2, 2026 · model on record in the stance chip above.