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REVIEW 3 major objections 5 minor 52 references

Large non-saturating Nernst thermopower and magnetoresistance in compensated semimetal ScSb

T0 review · 3 major / 5 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read Polycrystalline ScSb reaches a Nernst thermopower of about 128 µV/K at 30 K and 14 T, outperforming its single crystal via better electron-hole compensation.

desk verdict Credible new Nernst data on polycrystalline ScSb, but the compensation mechanism is asserted rather than tested quantitatively. read the letter →

arxiv 2507.09056 v1 pith:VIFNWDWM submitted 2025-07-11 cond-mat.mtrl-sci

Antu Laha , Sarah Paone , Niraj Aryal , Qiang Li This is my paper · ORCID
classification cond-mat.mtrl-sci
keywords NernstthermopowermagnetoresistancecompensatedsemimetalScSbpolycrystallineelectron-holecompensationtransversethermoelectriceffecttwo-carriermodel
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

Polycrystalline ScSb—a cubic, topologically trivial semimetal—is reported to produce a Nernst thermopower of about 128 µV/K at 30 K and 14 T, a Nernst power factor of about 240 × 10⁻⁴ W m⁻¹ K⁻², and a magnetoresistance of about 940% at 2 K. The field dependence of the Nernst signal is linear and non-saturating up to 14 T. The paper's central claim is that these enhancements come from better electron-hole compensation in the sintered sample, with hole-to-electron density ratio $n_h/n_e \approx 1.1$, compared with single-crystal ScSb where the ratio is about 0.8. A reader would care because polycrystalline samples are cheap and scalable to bulk sizes, and this result indicates that cubic, topologically trivial materials can deliver transverse thermoelectric performance comparable to single crystals and to topological semimetals such as NbP and Mg3Bi2.

What carries the argument

The working machinery is the semiclassical two-carrier model, expressed in equations (1) and (2), which writes the longitudinal and Hall conductivities as sums of hole and electron contributions with densities $n_h$, $n_e$ and mobilities $\mu_h$, $\mu_e$. Simultaneous fits to the measured $\sigma_{yy}(B)$ and $\sigma_{xy}(B)$ produce the near-compensation ratios that carry the argument. The companion expressions, equations (3) and (4), give the Nernst thermopower $S_{yx}$ in terms of the same two-carrier parameters and show that when the electron and hole Hall terms cancel, $S_{yx} = (S^h_{xx}-S^e_{xx})\mu B/2$, a linear non-saturating field dependence.

What would settle it

Using the fitted $n_h$, $n_e$, $\mu_h$, $\mu_e$ at 30 K in equation (3), compute the predicted $S_{yx}(B)$ and compare it with the measured linear curve that reaches 128 µV/K at 14 T; a large mismatch would show that the fitted compensation parameters do not actually explain the Nernst response. A second decisive check is to vary the Sc:Sb stoichiometry: if compensation is the cause, the Nernst peak should be largest near $n_h/n_e = 1$ and diminish as the ratio moves away from unity.

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Extended reading notes

Core claim

On the paper's own terms, the central discovery is that polycrystalline ScSb outperforms its single-crystal form on transverse thermoelectric metrics: $S_{yx} \approx 128$ µV/K at 30 K and 14 T versus $\sim 47$ µV/K at 12 K and 14 T for the single crystal, and a Nernst power factor $PF_N \approx 240 \times 10^{-4}$ W m⁻¹ K⁻², about seven times the single-crystal value. The authors attribute the improvement to better electron-hole compensation: a two-carrier fit to Hall and longitudinal conductivity gives $n_h/n_e \approx 1.1$ and $\mu_h/\mu_e \approx 1.2$, closer to perfect balance than the single crystal's $n_h/n_e \approx 0.8$. They further use the two-carrier Nernst expression to explain why $S_{yx}(B)$ stays linear without saturating: when electron and hole Hall contributions nearly cancel, the Nernst signal grows as $\mu B$ even in fields where the usual saturation would set in.

Load-bearing premise

The load-bearing premise is that the two-carrier fit to one polycrystalline sample's Hall and longitudinal conductivity uniquely captures the electron and hole densities and mobilities, and that these same carriers, rather than phonon drag or grain-boundary effects, produce the measured Nernst signal.

Editorial extensions

If this is right

  • Polycrystalline ScSb becomes a practical low-temperature transverse thermoelectric without single-crystal growth or crystallographic alignment.
  • The near-perfect compensation obtained in a sintered sample suggests that bulk synthesis with exact stoichiometry can tune the Fermi level of other cubic MX monopnictides toward $n_h/n_e \approx 1$.
  • Because $S_{yx}$ remains linear and unsaturated at 14 T, still higher applied fields should yield proportionally larger Nernst signals if the compensation mechanism holds.
  • A Nernst power factor of about $240 \times 10^{-4}$ W m⁻¹ K⁻² exceeds the Seebeck power factors of Bi2Te3, PbTe, and SnSe, making transverse devices competitive for cryogenic cooling and waste-heat recovery.

Reading between the lines

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

  • Because ScSb is cubic and topologically trivial, it provides a cleaner benchmark than Weyl or Dirac semimetals for testing whether electron-hole compensation alone can drive a large Nernst signal; a quantitative reconstruction of $S_{yx}(B)$ from the fitted parameters would settle the mechanism.
  • The 30 K phonon-drag peak is invoked for both $S_{xx}$ and $S_{yx}$ but never separated from the compensation term, so part of the 128 µV/K could be phonon drag; an isotope or grain-size series could separate the two contributions.
  • The same spark-plasma-sintering route could be applied to other members of the Sc/Y/La monopnictide family to map Nernst thermopower versus $n_h/n_e$ and test whether the maximum always occurs at perfect compensation.
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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 reports transport and thermomagnetic measurements on polycrystalline ScSb, a cubic, topologically trivial compensated semimetal. The headline results are a Nernst thermopower of about 128 µV/K at 30 K and 14 T, a Nernst power factor of about 240 × 10^-4 W m^-1 K^-2, a Nernst figure of merit of about 11 × 10^-4 K^-1, and a non-saturating magnetoresistance of about 940% at 2 K and 14 T. The authors attribute the enhanced Nernst and magnetotransport properties to improved electron-hole compensation, with fitted carrier density ratio nh/ne ≈ 1.1 and mobility ratio μh/μe ≈ 1.2, obtained from a two-carrier fit to the longitudinal and Hall conductivities. They compare the results with their previous single-crystal ScSb study and with other thermomagnetic materials.

Significance. If the central claim holds, the paper is significant: it shows that a cubic, topologically trivial semimetal in polycrystalline form can exhibit a Nernst response comparable to or better than that of many topological semimetal single crystals, despite the usual degradation expected in polycrystalline samples. The reported PFN and zN values are internally consistent with the plotted resistivity and thermal conductivity data, and the use of standard PPMS/TTO protocols with antisymmetry checks for the Nernst signal adds credibility to the measurements. The main weakness is that the paper's mechanistic explanation—that near-perfect compensation produces the linear non-saturating Nernst signal—is asserted rather than quantitatively tested against the measured Syx(B) curves. The manuscript also contains an unresolved inconsistency in the single-crystal baseline. These issues are fixable within the scope of the paper, so the work warrants revision rather than rejection.

major comments (3)
  1. [Section III, Eq. (3) and Fig. 3(d)] The central mechanism claim is never tested quantitatively. Equation (3) gives the two-carrier expression for Syx whose magnetic-field dependence is fixed by the fitted densities and mobilities up to the prefactor (S_h - S_e). The manuscript could directly compare Eq. (3) with the measured Syx(B) in Fig. 3(d) by normalizing the prefactor at one field, but no such comparison is shown. This is a straightforward and falsifiable check. With the quoted nh/ne ≈ 1.1 and μh/μe ≈ 1.2, and μB values of order 2-4 at 14 T, the imbalance term (σ_e μ_e B - σ_h μ_h B)^2 in the denominator of Eq. (3) is not negligible, so the model does not automatically give linear non-saturating Syx. The observed linear behavior must be shown to be consistent with Eq. (3), not assumed.
  2. [Section III, phonon drag attribution (Fig. 3(c))] The 30 K peak in Syx is attributed to phonon drag, but no quantitative separation of the phonon-drag and diffusion contributions is attempted. Because the maxima of PFN and zN occur at this same 30 K peak, the claim that the enhanced Nernst performance originates from better electron-hole compensation is not uniquely supported; a phonon-drag contribution could carry part or most of the enhancement. The manuscript should either separate the drag contribution using a standard analysis or explicitly bound its magnitude before assigning the peak to the compensation mechanism.
  3. [Table I and Sections III/IV] The single-crystal baseline is internally inconsistent: Table I lists Syx ≈ 47 µV/K (12 K, 14 T) for single-crystal ScSb, while the text and Conclusions state Syx ≈ 35 µV/K at the same conditions. Since the paper's central claim is that the polycrystalline sample shows improved Nernst performance compared with the single crystal, this discrepancy directly affects the claimed improvement factor and must be resolved. The same issue affects the statement in the Introduction that the PFN is 'nearly seven times' the single-crystal value at the same temperature and field.
minor comments (5)
  1. [Fig. 2 caption] The caption for Fig. 2(a) says 'Longitudinal resistivity (ρyy)', but the panel axis and the text in Section III describe it as magnetoresistance (MR %); please correct the caption to match the plotted quantity.
  2. [Introduction] The phrase 'nearly seven times the value found in the single crystal samples at the same temperature and magnetic field' is misleading because Table I reports the single-crystal maximum at 12 K, while the polycrystalline maximum occurs at 30 K; please specify the exact comparison conditions.
  3. [Abstract] The phrase 'in comparison to that was observed' should be rewritten, for example as 'compared with that observed in single-crystal ScSb previously.'
  4. [Methods] There is a typo in 'in a a JEOL JSM-7600F scanning electron microscope'; delete the duplicated article.
  5. [References] Reference [42] lacks author names and a full title; please provide the complete citation.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the headline Nernst and magnetoresistance values are directly measured or computed from measured quantities, and the two-carrier fit is used as an interpretation rather than as the source of the predicted observables.

full rationale

The paper's headline quantities (Syx ≈ 128 µV/K at 30 K and 14 T, MR ≈ 940% at 2 K and 14 T, PFN ≈ 240 × 10^-4 W m^-1 K^-2) are directly measured or derived from measured Syx, ρyy, and κxx. The two-carrier parameters (nh/ne ≈ 1.1, μh/μe ≈ 1.2) are obtained by fitting Eqs. 1–2 to the same sample's longitudinal and Hall conductivities. Those fitted parameters are then invoked qualitatively through Eqs. 3–4 to rationalize the linear non-saturating Syx and the large MR. This is a model-based interpretation, not a derivation of the measured signal from the fit: Syx(B) is an independent observable and is never generated from Eq. 3. No load-bearing step reduces by construction to its own inputs, and no prediction is manufactured from the fitted parameters. The only self-citation (ref. [28], the authors' prior single-crystal ScSb study) supplies a comparison baseline; it is not used to justify the transport model or to exclude alternatives. The internal inconsistency in the reported single-crystal Syx value (Table I: ∼47 µV/K vs text: ∼35 µV/K) and the absence of a quantitative check of Eq. 3 against the measured Syx(B) are correctness and evidence concerns, not circularity. Accordingly, the paper is self-contained with respect to circularity and scores 0.

Assumptions & free parameters 8 free parameters · 4 assumptions · 0 invented entities

The measurements themselves are standard and do not rest on new axioms. The mechanism claims do: two-band semiclassical transport with no additional channels, phonon drag present only through the thermopower difference, and a single polycrystalline sample standing for the material. The fitted carrier densities, mobilities, and thermal conductivity parameters listed above are the price of admission for the compensation narrative. No new entities (particles, forces, dimensions) are introduced.

free parameters (8)
  • Hole density nh per temperature = about 1.5e20 cm^-3 at 2 K; nh/ne about 1.1
    Extracted by fitting Eqs. 1-2 to longitudinal and Hall conductivity of this single polycrystalline sample; the near-unity ratio nh/ne is the basis of the compensation claim.
  • Electron density ne per temperature = about 1.4e20 cm^-3 at 2 K (from nh/ne about 1.1)
    Same two-carrier fit; the balance between nh and ne controls the predicted MR and Nernst field dependence in Eqs. 3-4.
  • Hole mobility mu_h per temperature = geometric-mean mobility 2553 cm^2 V^-1 s^-1 at 2 K
    Same fit; mu_h/mu_e about 1.2 is used to justify the near-ideal regime for linear non-saturating Syx.
  • Electron mobility mu_e per temperature = about 2100 cm^2 V^-1 s^-1 at 2 K (inferred from mu_h/mu_e about 1.2)
    Same fit; enters the balance condition in the denominator of Eq. 3.
  • Thermal mobility factor eta per temperature = 0.58, 0.39, 0.37 at 20, 30, 50 K
    Fit parameter in Eq. 5, one per temperature; models the field suppression of electronic thermal conductivity.
  • Scattering exponent s per temperature = 1.32, 1.05, 1.49 at 20, 30, 50 K
    Fit parameter in Eq. 5, one per temperature; together with eta, absorbs the field dependence of kappa_xx in a fit with four parameters per four field points.
  • Lattice thermal conductivity kappa_l per temperature = 9.88, 20.87, 27.24 W m^-1 K^-1 at 20, 30, 50 K
    Per-temperature fit output of Eq. 5; enters zN and the comparison of kappa_xx with other materials.
  • Electronic thermal conductivity kappa_e0 per temperature = 12.88, 8.39, 8.56 W m^-1 K^-1 at 20, 30, 50 K
    Per-temperature fit output of Eq. 5; the 50 K value is compared against the Wiedemann-Franz estimate to claim WF violation.
assumptions (4)
  • domain assumption Two-carrier semiclassical model (Eqs. 1-2) with one electron and one hole band describes sigma_yy and sigma_xy of this polycrystalline sample
    Used to extract nh, ne, mu_h, mu_e; ignores additional bands, grain-boundary conduction, and magnetic breakdown.
  • domain assumption The Nernst thermopower is governed by the two-band formula (Eq. 3) with the same fitted parameters, with phonon drag entering only through Sxx and Sexx
    Invoked to explain the linear non-saturating Syx via Eq. 4; Eq. 3 is not numerically evaluated against measured Syx(B).
  • standard math Wiedemann-Franz law (kappa_e = L0 sigma T with L0 = 2.44e-8 W Ohm K^-2) is the correct baseline for the electronic thermal conductivity
    Used to claim WF violation; the comparison value of kappa_e comes from the exactly-determined Eq. 5 fit.
  • domain assumption The 30 K peak in Sxx and Syx is a phonon-drag feature rather than an electronic band feature
    Attribution follows refs. [9, 34, 38, 39]; no quantitative phonon-drag model is given.

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Cite this review

Pith. "Pith review of Large non-saturating Nernst thermopower and magnetoresistance in compensated semimetal ScSb." pith.science (2026). https://pith.science/paper/VIFNWDWM

@misc{pith2026250709056,
  author       = {Pith},
  title        = {Pith review of: Large non-saturating Nernst thermopower and magnetoresistance in compensated semimetal ScSb},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/VIFNWDWM}},
  note         = {Machine review of arXiv:2507.09056}
}
abstract

Today, high-performance thermoelectric and thermomagnetic materials operating in the low-temperature regime, particularly below the boiling point of liquid nitrogen remain scarce. Most thermomagnetic materials reported to date exhibit a strong Nernst signal along specific crystallographic directions in their single-crystal form. However, their performance typically degrades significantly in the polycrystalline form. Here, we report an improved Nernst thermopower of $\sim$ 128 $\mu$V/K at 30 K and 14 T in polycrystalline compensated semimetal ScSb, in comparison to that was observed in single crystal ScSb previously. The magnetic field dependence of Nernst thermopower shows a linear and non-saturating behavior up to 14 T. The maximum Nernst power factor reaches to $\sim 240 \times 10^{-4}$ W m$^{-1}$ K$^{-2}$ and Nernst figure of merit reaches to $\sim 11 \times 10^{-4}$ K$^{-1}$. Polycrystalline ScSb also shows a large non-saturating magnetoresistance of $\sim 940 \%$ at 2 K and 14 T. These enhanced properties originate from better electron-hole compensation, as revealed by Hall resistivity measurements. The cubic symmetry and absence of anisotropy in ScSb allow its polycrystalline form to achieve similar enhanced thermomagnetic and electromagnetic performance comparable to that of the single crystal.

Figures

Figures reproduced from arXiv: 2507.09056 by the authors.

Figure 1
Figure 1. FIG. 1. (a) Cubic crystal structure of ScSb. (b) Refined pow [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 3
Figure 3. FIG. 3. (a) Schematic diagram for Seebeck and Nernst effect [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. FIG. 4. (a) Longitudinal electrical resistivity ( [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figures from the paper (1 more)
Figure 5
Figure 5. Figure 5: FIG. 5. Comparison of the maximum (a) Nernst power factor [PITH_FULL_IMAGE:figures/full_fig_p005_5.png]

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