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REVIEW 4 major objections 3 minor 32 references

Multi-origin driven giant planar Hall effect in topological antiferromagnet EuAl2Si2 with tunable spin texture

T0 review · 4 major / 3 minor · reviewed 2026-08-05 · deepseek-v4-flash

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Pith's one-line read The planar Hall effect in EuAl2Si2 is shown to be conventional, not a chiral-anomaly signal: classical orbital magnetoresistance dominates the field-induced ferromagnetic state, and field-suppressed spin fluctuations dominate the paramagnet

desk verdict Good experimental case against a chiral-anomaly origin for the PHE in EuAl2Si2, but the quantitative decomposition is asserted, not demonstrated. read the letter →

arxiv 2508.19934 v1 pith:E5URUD52 submitted 2025-08-27 cond-mat.str-el

Xiangqi Liu , Ziyi Zhu , Yixuan Luo , Zhengyang Li , Bo Bai , Jingcheng Huang , Xia Wang , Chuanying Xi
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Li Pi Guanxiang Du Leiming Chen Wenbo Wang Wei Xia Yanfeng Guo
This is my paper · ORCID
classification cond-mat.str-el
keywords planarHalleffectEuAl2Si2topologicalantiferromagnetWeylsemimetalchiralanomalyorbitalmagnetoresistancespinfluctuationsanisotropic
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

EuAl2Si2 is an antiferromagnet that a magnetic field drives into a ferromagnetic Weyl-semimetal state, so its planar Hall effect (PHE) is a natural place to look for the chiral anomaly. The paper argues that the measured PHE—about 3.8 μΩ cm at 2 K and 8 T—is real but not topological. After symmetrizing raw signals to remove ordinary Hall and contact-misalignment admixtures, the authors find the expected sinθcosθ angular form, yet the amplitude grows as B², no negative longitudinal magnetoresistance appears, and the parametric ρxy–ρxx traces have 'shock-wave' or circular shapes. They attribute the effect to two conventional mechanisms: classical orbital magnetoresistance in the field-induced ferromagnetic state, and field suppression of spin-fluctuation scattering above the Néel temperature. If correct, chiral-anomaly interpretation is not needed here, and the same fingerprints can mislead in other topological magnets.

What carries the argument

The load-bearing object is the dual-symmetrization protocol: field averaging ρxy(+B,θ) and ρxy(−B,θ) removes the ordinary Hall component, and antisymmetrization between θ and π−θ removes AMR leakage from contact misalignment, with analogous purification of ρxx. This isolates an intrinsic planar Hall resistivity whose sinθcosθ form, B² field scaling, and parametric ρxy-versus-ρxx trajectories are compared against two competing models: chiral-anomaly theory (Δρ ∝ (Lc/La)², isotropic parametric expansion) and a classical two-band orbital model (ρ⊥ ∝ μeμhB², producing the 'shock-wave' asymmetry). The contrasting circular trajectory above TN identifies the spin-fluctuation contribution.

What would settle it

Fabricate a lithographically aligned Hall bar from the same EuAl2Si2 crystals and remeasure ρxyPHE under the same field and angle conditions. If the symmetrized ~3.8 μΩ cm amplitude and the shock-wave (2 K) and circular (50 K) parametric trajectories are reproduced, the reported effect is intrinsic; if the signal shrinks or the trajectories change shape, the dual-symmetrization protocol is generating part of the PHE from contact misalignment.

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Extended reading notes

Core claim

EuAl2Si2 is an A-type antiferromagnet (TN ≈ 33.6 K) that a magnetic field drives into a ferromagnetic Weyl-semimetal state, so its planar Hall effect (PHE) is a natural chiral-anomaly candidate. The paper's central claim is that the measured PHE, ≈3.8 μΩ cm at 2 K and 8 T, is not topological. After dual symmetrization removes ordinary-Hall and misalignment admixtures, the signal keeps its sinθcosθ form and B² scaling, but no negative longitudinal magnetoresistance appears in the ferromagnetic phase, and the parametric ρxy–ρxx plots form 'shock-wave' (2 K) and circular (50 K) trajectories. The paper attributes these to classical two-band orbital magnetoresistance (FM state) and field-suppress

Load-bearing premise

The result stands on the assumption that Eqs. (1)–(3) completely remove ordinary-Hall and contact-misalignment admixtures, leaving an intrinsic PHE, and that the ρxy-versus-ρxx plot shape uniquely distinguishes orbital and spin-fluctuation mechanisms from the chiral anomaly.

Editorial extensions

If this is right

  • A B²-scaling, sinθcosθ planar Hall signal is not by itself evidence of a chiral anomaly; the same fingerprints arise from classical orbital magnetoresistance and spin-fluctuation scattering in a magnetic multiband metal.
  • The dual-symmetrization protocol can be applied to other topological magnets to separate genuine topological PHE from misalignment and ordinary-Hall contamination before claiming chiral anomaly.
  • In the field-induced ferromagnetic state, the PHE amplitude is controlled by carrier mobilities and can in principle be tuned by doping or by shifting the Weyl points relative to the Fermi level.
  • Above the Néel temperature, the PHE tracks the suppression of thermal spin fluctuations, giving a transport-based window onto magnetic scattering in the paramagnetic phase.
  • Because the same crystal passes through AFM, FM, and PM states, temperature- and field-dependent PHE maps the phase diagram and the spin-texture reconfigurations that accompany it.

Reading between the lines

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

  • A natural check the paper leaves implicit: measure the same PHE in electron-beam-lithographed Hall bars with perfectly aligned contacts; if the symmetrized amplitude drops or the shock-wave shape changes, part of the reported signal is a contact artifact rather than intrinsic transport.
  • The paper's parametric classification suggests a broader diagnostic: for any claimed chiral-anomaly PHE, the ρxy–ρxx plot should be nearly isotropic; anisotropic 'shock-wave' trajectories indicate an orbital origin instead.
  • Because the Weyl points were calculated only for the c-axis-polarized ferromagnetic state, the in-plane-polarized FM topology remains unexplored; repeating the SdH and PHE analysis with B along intermediate in-plane directions could reveal whether the orbital PHE amplitude tracks the Weyl-band geometry.
  • If spin-fluctuation suppression drives the paramagnetic PHE, its amplitude above TN should correlate quantitatively with the field-induced magnetization or susceptibility change; comparing Δρ(T,B) with M(T,B) would give a direct test.
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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 / 3 minor

Summary. The paper reports planar Hall effect (PHE) and anisotropic magnetoresistance (AMR) measurements on the layered antiferromagnet EuAl2Si2 across the AFM–FM–PM phase boundaries. The authors purify the measured Hall and longitudinal signals using field and angle symmetrization (Eqs. 1–3) and find a PHE amplitude ~3.8 μΩ cm at 2 K and 8 T with sinθcosθ angular dependence and Δρ ∝ B². They argue that the PHE is not due to the chiral anomaly or Berry curvature but instead arises from classical orbital magnetoresistance in the field-induced FM state and field-suppressed spin fluctuations in the PM regime. The evidence includes the B² scaling, the absence of high-field negative longitudinal MR, the contrasting field dependence of ρ⊥ and ρ∥, and the qualitative shape of parametric ρxy–ρxx plots.

Significance. If the central claim is correct, the paper provides a useful counterexample to the common assignment of PHE in topological semimetals to the chiral anomaly, and it demonstrates that materials with tunable spin textures can host multiple coexisting conventional PHE mechanisms. The measurements are careful and the temperature/field phase coverage is broad. The paper also reports SdH oscillations and Berry-phase extraction, showing nontrivial topology in the FM state, which strengthens the platform. However, the quantitative mechanism decomposition is not fully substantiated: the key comparison between the PHE amplitude and the independently measured AMR anisotropy is missing, and the parametric ‘fingerprint’ argument is not unique. These issues are load-bearing for the main conclusion and require additional analysis.

major comments (4)
  1. [Section 2, Eq. (5) and Figs. 4f–i/5b,e] Equation (5) assumes that the same parameter Δρ describes both the PHE amplitude and the AMR anisotropy: ρPHExy = -Δρ sinθcosθ and ρAMRxx = ρ⊥ - Δρ cos²θ. The authors fit Δρ from the PHE data (Figs. 4f,i) and separately show ρ⊥ and ρ∥ (Figs. 5b,e), but they never compare the fitted Δρ with the measured difference ρ⊥ - ρ∥ at the same temperatures and fields. Without this direct quantitative consistency check, the assertion that the PHE is fully accounted for by the AMR-related conventional mechanisms is not supported. A chiral-anomaly contribution added on top of the conventional AMR would obey the same angular forms and B² scaling; only by checking that the same Δρ quantitatively appears in both channels can conventional mechanisms be distinguished from a coexisting topological contribution.
  2. [Section 5, Fig. 5c,f] The distinction between the ‘shock-wave’ pattern (FM state, 2 K) and ‘isotropic expansion’ pattern (PM state, 50 K) is presented as a unique mechanistic fingerprint. This is not justified. From Eq. (5), at fixed B the parametric plot of ρxy vs ρxx is a circle whose center shifts if ρ⊥ itself has a B-dependence. At 2 K, Fig. 5b shows that ρ⊥ grows strongly with B, so a shifted-circle/shock-wave appearance is exactly what would be expected from the conventional AMR relation—even if a chiral-anomaly term were also present. To make the fingerprint argument valid, the authors need to model the full field-dependent trajectory including ρ⊥(B), ρ∥(B), and a possible chiral term, and show that the observed shape excludes the latter quantitatively, rather than relying on qualitative pattern matching.
  3. [Abstract and Conclusion] The statement that “Berry curvature plays a minor role” is asserted but never quantitatively decomposed. The paper provides SdH Berry-phase measurements and Weyl-point locations (Figs. 3d,e), but these do not by themselves determine the Berry-curvature contribution to the PHE. No estimate—even a rough one—of the intrinsic Berry-curvature PHE is given, and no bound is placed on its magnitude relative to the observed 3.8 μΩ cm signal. As written, the conclusion is an interpretation consistent with the data, but it is not a demonstrated decomposition. This is a central claim of the abstract and should either be supported by a band-structure-based estimate or explicitly softened.
  4. [Eq. (7), two-band model] The resistivity tensor written in Eq. (7) is not the standard inverse of the two-band conductivity tensor. For the transverse (B ⊥ current) configuration, the correct longitudinal resistivity is ρxx = σxx/(σxx² + σxy²), where σxx = σe/Δe + σh/Δh and σxy includes the Hall terms. Writing ρxx = (σe/Δe + σh/Δh)⁻¹ omits the σxy contribution and therefore cannot correctly produce the claimed high-field ρ⊥ ∝ B² scaling. The text also states that the model predicts B-independent ρxx, which is inconsistent with the second diagonal element in Eq. (7). Since this model is used to support the classical orbital origin of the B² scaling, the derivation needs to be corrected or the claim should be rephrased as qualitative rather than quantitative.
minor comments (3)
  1. [Throughout] Several typographical errors: “diffarction”, “chracterizations”, “microscop”, “finial”, “Soolids” (in Ref. 17), and “Le Common Met.” (in Ref. 14).
  2. [Fig. 2 caption and text] The main text says MFM images were taken at 0.5 T, 3.8 T, and 4.7 T, while the caption of Fig. 2c–e lists 0 T, 3.8 T, and 4.7 T. Please clarify which field values are correct.
  3. [References] Refs. 3 and 27 are identical (Nandy et al., PRL 119, 176804). Please consolidate the duplicate reference.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the PHE mechanism conclusion is derived from independent transport data, not from the topological input it questions.

full rationale

The paper's central conclusion—that the PHE in EuAl2Si2 is dominated by classical orbital MR and spin-fluctuation suppression rather than the chiral anomaly—is not equivalent to its inputs. The PHE amplitude is extracted from the measured angular dependence using Eqs. (1)-(3) and then compared with field-dependent ρ⊥ and ρ//. The Δρ ∝ B² scaling is consistent with both the chiral-anomaly expression (Eq. 6) and the two-band orbital model, so the paper must (and does) adduce further evidence: the absence of negative longitudinal MR and the parametric plot shapes. The 'shock-wave' pattern is a consequence of Eq. (5) together with the measured ρ⊥(B) enhancement, but this is a consistency check rather than a prediction that reduces to a fit; it does not by construction exclude the chiral anomaly, which is a robustness concern, not circularity. The band topology and Weyl points are taken from the authors' prior Ref. [8], and the paper explicitly limits those calculations to the c-axis polarized FM state, leaving in-plane topology unexplored; this is a contextual self-citation and a support gap, but the PHE mechanism conclusion does not reduce to that citation—it stands on the independent transport and magnetization data presented here. No fitted parameter is renamed as a prediction, and no uniqueness claim is imported from the authors' prior work.

Assumptions & free parameters 1 free parameters · 4 assumptions · 0 invented entities

The central claims rest mainly on domain assumptions about signal purification, the two-band model, the presence of WPs from prior work, and the interpretive value of parametric plot shapes. No new particles, forces, dimensions, or conserved quantities are introduced.

free parameters (1)
  • Fitted PHE amplitude Δρ(T,B) = ≈3.8 μΩ cm at 2 K, 8 T; separate values for each temperature and field
    Obtained by fitting measured ρxyPHE to Δρ sinθcosθ. The field and temperature dependence of this fitted amplitude is the main evidence for the B² scaling and the mechanism crossover.
assumptions (4)
  • domain assumption The field/angle symmetrization protocol in Eqs. (1)-(3) removes all ordinary Hall, contact-misalignment, and AMR admixtures from the PHE signal.
    If the symmetrization does not fully separate these contributions, the fitted PHE amplitude and its angular dependence would be contaminated.
  • domain assumption The two-band orbital model in Eq. (7) adequately describes transport in the field-induced ferromagnetic state.
    The attribution of the B² PHE to classical orbital MR relies on this model and neglects quantum corrections or Berry-curvature contributions.
  • domain assumption Weyl points near the Fermi level from the authors' prior work (Ref. 8) are present in the experimentally probed field-polarized state.
    The paper relies on its own prior calculation and ARPES for WPs ~57 meV below EF, while noting that the in-plane polarized FM topology is unexplored.
  • domain assumption Absence of negative longitudinal magnetoresistance in the FM phase is sufficient evidence to rule out the chiral anomaly as the PHE origin.
    The conclusion that chiral anomaly is absent depends on this discriminator; competing mechanisms or geometric artifacts could in principle mask n-MR.

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Cite this review

Pith. "Pith review of Multi-origin driven giant planar Hall effect in topological antiferromagnet EuAl2Si2 with tunable spin texture." pith.science (2026). https://pith.science/paper/E5URUD52

@misc{pith2026250819934,
  author       = {Pith},
  title        = {Pith review of: Multi-origin driven giant planar Hall effect in topological antiferromagnet EuAl2Si2 with tunable spin texture},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/E5URUD52}},
  note         = {Machine review of arXiv:2508.19934}
}
read the original abstract

In topological materials, the planar Hall effect (PHE) is often regarded as a hallmark of profound quantum phenomena-most notably the Adler-Bell-Jackiw chiral anomaly and Berry curvature-rendering it an indispensable tool for deciphering the topological essence of emergent phases. In this study, we delve into the PHE and anisotropic magnetoresistance in the recently discovered layered topological antiferromagnet EuAl2Si2. Our analysis of the robust PHE signal (~3.8 {\mu}{\Omega} cm at 2 K and 8 T) unveils a distinct interplay of mechanisms. While Berry curvature plays a minor role, the dominant contributions stem from classical orbital MR in the field-induced ferromagnetic state and field-suppressed spin fluctuations in the paramagnetic regime. These insights not only position EuAl2Si2-with its highly tunable spin texture-as an exemplary system for probing the intricate coupling between spin configurations and band topology in magnetotransport but also pave the way for designing novel materials with tailored PHE responses, highlighting significant application prospects in quantum sensing, spintronic devices, and topologically protected electronic systems.

Figures

Figures reproduced from arXiv: 2508.19934 by the authors.

Figure 2
Figure 2. Magnetic properties of EuAl2Si2 single crystals. (a) Temperature-dependent magnetic susceptibility χ(T) measured at 1000 Oe (left axis), and zero-field electrical resistivity ρ(T) from 2 to 300 K (right axis). The dashed line indicates the Néel temperature TN ~ 33.6 K. (b) Isothermal magnetization curves measured below and above TN. At 2 K, the magnetization saturates at Bsat = 2.8 T for B // ab (left) and 4.9 T for… view at source ↗
Figure 3
Figure 3. Electronic transport and topological properties of EuAl [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. AMR and PHE in EuAl2Si2 single crystals. (a) Schematic illustration of the measurement geometry. The sample is rotated within the ab-plane while simultaneously recording both Ixx and Vxy voltage signals. Experimental PHE (b) and AMR (c) data (symbols) are fitted (solid curves) at T = 2 K and 50 K under B = 8 T. The excellent agreement between data and fits confirms the expected angular dependencies. (d,e) Angular ev… view at source ↗

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