REVIEW 2 major objections 1 minor 41 references
The anomalous Nernst conductivity magnitude is set by the sum of the anomalous Nernst and Hall angles, so aligning their signs increases the effect.
Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →
T0 review · grok-4.3
2026-07-02 10:43 UTC pith:MQFYIOGD
load-bearing objection The paper links ANC magnitude to the algebraic sum of anomalous Nernst and Hall angles and shows Fe doping in Co3Sn2S2 can align their signs to increase the effect, plus a consistent TlnT scaling. the 2 major comments →
Modulation of the Nernst Thermoelectrics by Regulating the Anomalous Hall and Nernst Angles
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The magnitude of the anomalous Nernst conductivity is directly related to the sum of the anomalous Nernst and Hall angles. While the sign of the anomalous Hall angle is relatively stable, the sign of the anomalous Nernst angle can be intrinsically tuned. The conductivity can therefore be optimized by regulating the angles to work in concert. This relation is verified by experimental modulation in iron-doped Co3Sn2S2. A robust T ln T scaling law of the conductivity holds from 40 to 140 K in all samples, indicating an intrinsic origin. The common occurrence of opposite angle signs in magnetic topological materials can thus be overcome.
What carries the argument
Direct dependence of anomalous Nernst conductivity on the sum of the anomalous Nernst and Hall angles, which permits optimization by aligning their signs.
Load-bearing premise
The sign of the anomalous Nernst angle can be tuned independently of the anomalous Hall angle while preserving the material's topological character.
What would settle it
If measurements on iron-doped Co3Sn2S2 samples show that the anomalous Nernst conductivity does not increase when the two angles are aligned to the same sign, the claimed direct sum relation would be contradicted.
If this is right
- Aligning the signs of the anomalous Nernst and Hall angles increases the magnitude of the anomalous Nernst conductivity.
- Iron doping in Co3Sn2S2 modulates the angles to work in concert while keeping the topological character intact.
- The T ln T scaling law persists across all studied samples, confirming an intrinsic source of the conductivity.
- Materials that normally exhibit opposite angle signs become candidates for improved Nernst thermoelectrics through this regulation.
Where Pith is reading between the lines
- The same sign-alignment principle could be tested in other magnetic topological compounds to identify additional tunable systems.
- Device-level design rules might prioritize dopants that selectively flip the Nernst angle sign without altering the Hall angle sign.
- If the scaling law extends to higher temperatures, the method could inform room-temperature Nernst thermoelectric prototypes.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript claims that the magnitude of the anomalous Nernst conductivity (ANC) is directly related to the sum of the anomalous Nernst and Hall angles in magnetic Weyl semimetals. The sign of the anomalous Nernst angle can be intrinsically tuned (e.g., via Fe doping in Co3Sn2S2) while the Hall angle sign is stable, allowing optimization when the angles work in concert; this is verified experimentally, and a robust T ln T scaling of ANC is observed from 40-140 K across samples, indicating an intrinsic origin. The work proposes this as a general scheme for Nernst thermoelectrics given the common opposite signs of the angles.
Significance. If the angle-sum relation and independent tuning hold without topology changes, the result supplies a concrete, experimentally accessible optimization route for anomalous Nernst thermoelectrics in topological magnets, addressing a practical limitation in the field.
major comments (2)
- [Abstract] Abstract: the central relation that ANC magnitude is 'directly related' to the sum of the angles is stated without an explicit formula, derivation from the transport tensors, or reference to a specific equation; this relation is load-bearing for the optimization claim and must be derived or shown in the main text (e.g., from the definitions of the angles and ANC).
- [Abstract] Abstract (experimental modulation paragraph): the claim that Fe doping tunes the Nernst angle sign independently while preserving the Hall angle sign and topological character (Weyl nodes, Berry curvature) is load-bearing for attributing ANC enhancement to angle regulation rather than Fermi-level shift or scattering changes; the manuscript must supply explicit checks (e.g., Hall resistivity sign stability, ARPES or calculated band structure confirming unchanged node positions) to rule out alternative explanations.
minor comments (1)
- The T ln T scaling is presented as evidence of intrinsic origin, but the temperature window (40-140 K) and any deviation outside it should be shown in a figure with error bars for all doping levels.
Simulated Author's Rebuttal
We thank the referee for the constructive comments that help strengthen the manuscript. We address each major comment point by point below and will revise the manuscript to improve clarity and rigor.
read point-by-point responses
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Referee: [Abstract] Abstract: the central relation that ANC magnitude is 'directly related' to the sum of the angles is stated without an explicit formula, derivation from the transport tensors, or reference to a specific equation; this relation is load-bearing for the optimization claim and must be derived or shown in the main text (e.g., from the definitions of the angles and ANC).
Authors: We agree that an explicit derivation is needed for the central relation. In the revised manuscript we will add a derivation of the ANC magnitude in terms of the sum of the anomalous Nernst and Hall angles, starting from the definitions of the angles and the conductivity tensors, and we will reference the resulting equation from the main text in the abstract. revision: yes
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Referee: [Abstract] Abstract (experimental modulation paragraph): the claim that Fe doping tunes the Nernst angle sign independently while preserving the Hall angle sign and topological character (Weyl nodes, Berry curvature) is load-bearing for attributing ANC enhancement to angle regulation rather than Fermi-level shift or scattering changes; the manuscript must supply explicit checks (e.g., Hall resistivity sign stability, ARPES or calculated band structure confirming unchanged node positions) to rule out alternative explanations.
Authors: We agree that explicit checks are required. Our existing transport data already demonstrate that the Hall resistivity sign remains unchanged across the Fe-doping series; we will present this more prominently. We will also add DFT calculations showing that the Weyl node positions and associated Berry curvature are preserved upon doping, thereby supporting that the topological character is maintained. These additions will be included in the revised manuscript. revision: yes
Circularity Check
No significant circularity detected; central relation grounded in experiment
full rationale
The abstract presents the key relation (ANC magnitude directly tied to sum of anomalous Nernst and Hall angles) as a revealed finding, with sign tuning of the Nernst angle described as intrinsic and verified through independent experimental modulation in Fe-doped Co3Sn2S2 samples. A separate TlnT scaling observation is reported across samples as supporting intrinsic origin. No equations, fitted parameters, or self-citations are exhibited in the provided text that reduce this relation or the optimization scheme to a definitional tautology or input by construction. The experimental verification supplies external grounding, rendering the derivation self-contained.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Standard assumptions of linear response theory and Berry-phase contributions to anomalous Hall and Nernst effects in magnetic topological materials
read the original abstract
The large anomalous Nernst effect in magnetic Weyl semimetals is one of the most intriguing transport phenomena, which draws significant attention for its potential applications in topological thermoelectrics. Despite frequent reports of substantial anomalous Nernst conductivity (ANC), methods to optimize Nernst thermoelectrics remain limited. Our research reveals that the magnitude of the ANC is directly related to the sum of the anomalous Nernst and Hall angles. While the sign of the anomalous Hall angle is relatively stable in a certain material, the sign of the anomalous Nernst angle can be intrinsically tuned. Therefore, the ANC can be effectively optimized by regulating these angles to work in concert. This finding is verified by experimental modulation from iron-doped magnetic topological material Co3Sn2S2. Additionally, we observed a robust TlnT scaling law of the ANC over the temperature range of 40 to 140 K in all studied samples, suggesting an intrinsic origin of the ANC. Considering the common opposite sign of the anomalous Nernst and Hall angles in many magnetic topological materials, our research offers an applicable scheme for optimizing the Nernst thermoelectrics.
Figures
Reference graph
Works this paper leans on
-
[1]
D. Xiao, Y . Yao, Z. Fang, Q. Niu, Phys Rev Lett 2006, 97, 026603
2006
-
[2]
D. Xiao, M. -C. Chang, Q. Niu, Reviews of Modern Physics 2010, 82, 1959
2010
-
[3]
Nagaosa, J
N. Nagaosa, J. Sinova, S. Onoda, A. H. MacDonald, N. P. Ong, Reviews of Modern Physics 2010, 82, 1539
2010
-
[4]
E. Liu, Y . Sun, N. Kumar, L. Muechler, A. Sun, L. Jiao, S. -Y . Yang, D. Liu, A. Liang, Q. Xu, J. Kroder, V . Süß, H. Borrmann, C. Shekhar, Z. Wang, C. Xi, W. Wang, W. Schnelle, S. Wirth, Y . Chen, S. T. B. Goennenwein, C. Felser, Nature Physics 2018, 14, 1125
2018
-
[5]
S. N. Guin, P. Vir, Y . Zhang, N. Kumar, S. J. Watzman, C. Fu, E. Liu, K. Manna, W. Schnelle, J. Gooth, C. Shekhar, Y . Sun, C. Felser, Adv Mater 2019, 31, e1806622
2019
-
[6]
Mizuguchi, S
M. Mizuguchi, S. Nakatsuji, Sci Technol Adv Mater 2019, 20, 262
2019
-
[7]
C. Fu, Y . Sun, C. Felser, APL Materials 2020, 8, 0005481
2020
-
[8]
L. Ding, J. Koo, L. Xu, X. Li, X. Lu, L. Zhao, Q. Wang, Q. Yin, H. Lei, B. Yan, Z. Zhu, K. Behnia, Physical Review X 2019, 9, 041061
2019
-
[9]
H. Yang, W. You, J. Wang, J. Huang, C. Xi, X. Xu, C. Cao, M. Tian, Z.-A. Xu, J. Dai, Y . Li, Physical Review Materials 2020, 4, 024202
2020
-
[10]
Sakai, Y
A. Sakai, Y . P. Mizuta, A. A. Nugroho, R. Sihombing, T. Koretsune, M. -T. Suzuki, N. Takemori, R. Ishii, D. Nishio-Hamane, R. Arita, P. Goswami, S. Nakatsuji, Nature Physics 2018, 14, 1119
2018
-
[11]
S. N. Guin, K. Manna, J. Noky, S. J. Watzman, C. Fu, N. Kumar, W. Schnelle, C. Shekhar, Y . Sun, J. Gooth, C. Felser, NPG Asia Materials 2019, 11, 16
2019
-
[12]
Asaba, V
T. Asaba, V . Ivanov, S. M. Thomas, S. Y . Savrasov, J. D. Thompson, E. D. Baue r, F. Ronning, Science Advances 2021, 7(13), eabf1467
2021
-
[13]
Sakai, S
A. Sakai, S. Minami, T. Koretsune, T. Chen, T. Higo, Y . Wang, T. Nomoto, M. Hirayama, S. Miwa, D. Nishio-Hamane, F. Ishii, R. Arita, S. Nakatsuji, Nature 2020, 581, 53
2020
-
[14]
T. Chen, S. Minami, A. Sakai, Y . Wang, Z. Feng, T. Nomoto, M. Hirayama, R. Ishii, T. Koretsune, R. Arita, S. Nakatsuji, Science advances 2022, 8(2), eabk1480
2022
-
[15]
Y . Pan, C. Le, B. He, S. J. Watzman, M. Yao, J. Gooth, J. P . Heremans, Y . Sun, C. Felser, Nature Materials 2021, 21, 203
2021
-
[16]
B. He, C. Sahin, S. R. Boona, B. C. Sales, Y . Pan, C. Felser, M. E. Flatte´, J. P. Heremans, Joule, 2021, 5, 3057 - 3067
2021
-
[17]
Minami, F
S. Minami, F. Ishii, M. Hirayama, T. Nomoto, T. Koretsune, R. Arita, Physical Review B 2020, 102, 205128. 13
2020
- [18]
-
[19]
Wuttke, F
C. Wuttke, F. Caglieris, S. Sykora, F. Scaravaggi, A. U. B. Wolter, K. Manna, V . Süss, C. Shekhar, C. Felser, B. Büchner, C. Hess, Physical Review B 2019, 100, 085111
2019
-
[20]
J. Noky, J. Gooth, C. Felser, Y . Sun, Physical Review B 2018, 98, 241106
2018
-
[21]
C. -L. Zhang, T. Liang, M. S. Bahramy, N. Ogawa, V . Kocsis, K. Ueda, Y . Kaneko, M. Kriener, Y . Tokura, Proceedings of the National Academy of Sciences 2021, 118, 2111855118
2021
-
[23]
J. -X. Yin, S. S. Zhang, G. Chang, Q. Wang, S. S. Tsirkin, Z. Guguchia, B. Lian, H. Zhou, K. Jiang, I. Belopolski, N. Shumiya, D. Multer, M. Litskevich, T. A. Cochran, H. Lin, Z. Wang, T. Neupert, S. Jia, H. Lei, M. Z. Hasan, Nature Physics 2019, 15, 443
2019
-
[24]
Y . Xu, J. Zhao, C. Yi, Q. Wang, Q. Yin, Y . Wang, X. Hu, L. Wang, E. Liu, G. Xu, L. Lu, A. A. Soluyanov, H. Lei, Y . Shi, J. Luo, Z.-G. Chen, Nature Communications 2020, 11, 3985
2020
-
[25]
J. Shen, Q. Zeng, S. Zhang, H. Sun, Q. Yao, X. Xi, W. Wang, G. Wu, B. Shen, Q. Liu, E. Liu, Advanced Functional Materials 2020, 30, 202000830
2020
-
[26]
H.-Y . Yang, B. Singh, B. Lu, C.-Y . Huang, F. Bahrami, W.-C. Chiu, D. Graf, S. -M. Huang, B. Wang, H. Lin, D. Torchinsky, A. Bansil, F. Tafti, APL Materials 2020, 8, 011111
2020
-
[27]
Zhang, C
Y . Zhang, C. Uher, Journal of Alloys and Compounds 2022, 911, 165089
2022
-
[28]
Geishendorf, P
K. Geishendorf, P. Vir, C. Shekhar, C. Felser, J. I. Facio, J. van den Brink, K. Nielsch, A. Thomas, S. T. B. Goennenwein, Nano Letters 2019, 20, 300
2019
-
[29]
H. Yang, Q. Wang, J. Huang, Z. Wang, K. Xia, C. Cao, M. Tain, Z. Xu, J. Dai, Y . Li, Science China Physics, Mechanics & Astronomy 2022, 65(11), 117411
2022
-
[30]
Noguchi, K
S. Noguchi, K. Fujiwara, Y . Yanagi, M.-T. Suzuki, T. Hirai, T. Seki, K.-i. Uchida, A. Tsukazaki, Nature Physics 2024, 20, 254
2024
-
[31]
J. Liu, L. Ding, L. Xu, X. Li, K. Behnia, Z. Zhu, J Phys Condens Matter 2023, 35, 375501
2023
-
[32]
Y . Tian, L. Ye, X. Jin, Phys Rev Lett 2009, 103, 087206
2009
-
[33]
L. Ye, Y . Tian, X. Jin, D. Xiao, Physical Review B 2012, 85, 220403
2012
-
[34]
Nakamura, S
H. Nakamura, S. Minami, T. Tomita, A. A. Nugroho, S. Nakatsuji, Physical Review B 2021, 104, L161114
2021
-
[35]
E. H. Sondheimer, Proc. R. Soc. London, Ser. A, 1948, 193, 484
1948
-
[36]
Y . Wang, Z. A. Xu, T. Kakeshita, S. Uchida, S. Ono, Y . Ando, N. P. Ong, Physical Review B 2001, 64, 224519
2001
- [37]
-
[38]
Roychowdhury, A
S. Roychowdhury, A. M. Ochs, S. N. Guin, K. Samanta, J. Noky, C. Shekhar, M. G. Vergniory, J. E. Goldberger, C. Felser, Adv Mater 2022, 34, e2201350
2022
-
[39]
Zhang, J
H. Zhang, J. Koo, C. Xu, M. Sretenovic, B. Yan, X. Ke, Nat Commun 2022, 13, 1091
2022
-
[40]
J. Xu, W. A. Phelan, C. L. Chien, Nano Lett 2019, 19, 8250
2019
-
[41]
Zhang, C
H. Zhang, C. Q. Xu, X. Ke, Physical Review B 2021, 103, L201101
2021
-
[42]
M. Li, H. Pi, Y . Zhao, T. Lin, Q. Zhang, X. Hu, C. Xiong, Z. Qiu, L. Wang, Y . Zhang, J. Cai, W. Liu, J. Sun, F. Hu, L. Gu, H. Weng, Q. Wu, S. Wang, Y . Chen, B. Shen, Adv Mater 2023, 35, e2301339
2023
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