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arxiv: 2606.13237 · v1 · pith:UZP77SELnew · submitted 2026-06-11 · ❄️ cond-mat.mtrl-sci

Thickness-Independent Quantum Geometric Responses Driven by Interlayer Antiferroic Coupling

Zhiming Xu , Huaqing Huang This is my paper

Pith reviewed 2026-06-27 06:20 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords thickness-independent responsesanomalous Hall effectinterlayer antiferromagnetic couplingMnSquantum geometric responsessurface-dominated effectstacking orderantiferroelectric coupling
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0 comments X

The pith

Interlayer antiferroic coupling generates thickness-independent anomalous Hall responses without topological mechanisms.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

Two-dimensional ferroic materials usually show responses that vary with the exact number of layers, which complicates device fabrication. The paper argues that symmetry breaking supplied by interlayer antiferromagnetic or antiferroelectric coupling can produce quantum geometric responses whose magnitude stays constant as thickness increases. First-principles calculations on multilayer MnS in the G-type antiferromagnetic configuration illustrate this with a surface-dominated anomalous Hall effect that does not change with added layers and depends on stacking order. The same symmetry principle is used to outline design rules for thickness-independent nonlinear Hall effects driven by antiferroelectric coupling. This route is presented as a way to build functional devices from antiferroic materials without needing precise layer control.

Core claim

Thickness-independent quantum geometric responses emerge when the symmetry breaking required for a given response is generated by interlayer antiferromagnetic or antiferroelectric coupling, without invoking topological mechanisms. In multilayer MnS with G-type antiferromagnetic order the anomalous Hall effect is surface-dominated, remains constant with thickness, and is strongly modulated by the stacking sequence.

What carries the argument

Interlayer antiferroic coupling that supplies the symmetry breaking for the response.

If this is right

  • Multilayer MnS in G-type AFM order exhibits a surface-dominated anomalous Hall effect whose size is independent of thickness.
  • Stacking order can be used to tune the magnitude of this thickness-independent effect.
  • Interlayer antiferroelectric coupling supplies design principles for thickness-independent anomalous and nonlinear Hall effects.
  • The responses can serve to distinguish different magnetic structures.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Robust devices could be fabricated from antiferroic multilayers without requiring atomic-layer precision.
  • The symmetry-engineering route may apply to other geometric responses beyond Hall effects in similar layered systems.
  • Stacking-dependent measurements on few-layer samples could provide a direct experimental test of the thickness independence.

Load-bearing premise

The symmetry breaking needed for the response is produced entirely by interlayer antiferromagnetic or antiferroelectric coupling.

What would settle it

Observation that the anomalous Hall conductivity in G-type antiferromagnetic multilayer MnS changes measurably when the number of layers is increased.

Figures

Figures reproduced from arXiv: 2606.13237 by Huaqing Huang, Zhiming Xu.

Figure 1
Figure 1. Figure 1: FIG. 1. Two typical thickness-dependent response behaviors [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Side and top views of out-of-plane magnetized [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Side and top views of AB-stacked MnS. Red arrows indicate magnetic moments. (b) [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Atomic and magnetic structures of in-plane mag [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
read the original abstract

Two-dimensional ferroic materials exhibit rich and intriguing physical phenomena, but their response properties generally depend sensitively on thickness, requiring precise layer-number control and thereby limiting practical applications. Here, we propose a general strategy for realizing thickness-independent quantum geometric responses through symmetry engineering induced by interlayer antiferroic coupling. Using spatial-dependent symmetry analysis, we show that thickness-independent behavior emerges when the symmetry breaking required for a given response is generated by interlayer antiferromagnetic (AFM) or antiferroelectric (AFE) coupling, without invoking topological mechanisms. Our first-principles calculations predict that multilayer MnS in the G-type AFM configuration exhibits a surface-dominated anomalous Hall effect, whose thickness-independent behavior can be significantly influenced by the stacking order. We further propose design principles for achieving thickness-independent anomalous and nonlinear Hall effects driven by interlayer AFE coupling, and suggest potential applications in distinguishing magnetic structures. Our findings open a new route towards robust functional devices based on antiferroic materials.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The manuscript proposes a general strategy for realizing thickness-independent quantum geometric responses in multilayer 2D materials through symmetry breaking induced by interlayer antiferromagnetic (AFM) or antiferroelectric (AFE) coupling. Spatial-dependent symmetry analysis is used to argue that such responses emerge without topological mechanisms when the required symmetry breaking is generated by interlayer coupling. First-principles calculations are presented for multilayer MnS in the G-type AFM configuration, predicting a surface-dominated anomalous Hall effect (AHE) whose thickness-independent behavior depends on stacking order. Design principles are outlined for thickness-independent AHE and nonlinear Hall effects driven by interlayer AFE coupling, with suggested applications in distinguishing magnetic structures.

Significance. If the central predictions are confirmed by detailed calculations, the work could identify a practical route to robust, thickness-independent responses in antiferroic materials, reducing the need for precise layer-number control in devices. The focus on stacking-order effects and design principles for AFE-driven responses adds potential utility for materials engineering. However, the repeated claim of operating 'without invoking topological mechanisms' appears internally inconsistent with the Berry-curvature origin of the AHE, which may reduce the claimed novelty relative to existing quantum-geometric approaches.

major comments (2)
  1. [Abstract] Abstract: the statement that thickness-independent behavior emerges 'without invoking topological mechanisms' is load-bearing for the novelty claim but conflicts with the standard microscopic origin of the anomalous Hall effect. The AHE is generated by the integral of Berry curvature (a topological geometric quantity) over occupied bands; interlayer AFM coupling may relax mirror or inversion symmetries to permit a nonzero response, but this does not constitute a distinct non-topological route.
  2. [Abstract] Abstract: the manuscript asserts 'first-principles calculations' that predict a surface-dominated, thickness-independent AHE in multilayer MnS whose magnitude 'can be significantly influenced by the stacking order,' yet supplies no equations, computational details, Hall-conductivity values, thickness dependence plots, or error estimates. Without these, the central thickness-independence claim cannot be evaluated.
minor comments (1)
  1. The abstract refers to 'quantum geometric responses' and 'design principles' but does not specify which geometric quantities (Berry curvature, quantum metric, etc.) enter the nonlinear Hall effect; a brief clarification would improve readability.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their detailed review and constructive suggestions. We address each major comment below and outline the revisions we will make to strengthen the manuscript.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the statement that thickness-independent behavior emerges 'without invoking topological mechanisms' is load-bearing for the novelty claim but conflicts with the standard microscopic origin of the anomalous Hall effect. The AHE is generated by the integral of Berry curvature (a topological geometric quantity) over occupied bands; interlayer AFM coupling may relax mirror or inversion symmetries to permit a nonzero response, but this does not constitute a distinct non-topological route.

    Authors: We agree that the phrasing in the abstract is imprecise and potentially misleading. The anomalous Hall effect does originate from the integral of Berry curvature. Our intended meaning was that the thickness independence is achieved through symmetry breaking by interlayer antiferroic coupling rather than through topological band invariants (such as nonzero Chern numbers) that would typically produce quantized responses or strong thickness dependence. We will revise the abstract and relevant sections to remove the 'without invoking topological mechanisms' claim and instead emphasize the symmetry-engineering route to finite, thickness-independent Berry curvature. revision: yes

  2. Referee: [Abstract] Abstract: the manuscript asserts 'first-principles calculations' that predict a surface-dominated, thickness-independent AHE in multilayer MnS whose magnitude 'can be significantly influenced by the stacking order,' yet supplies no equations, computational details, Hall-conductivity values, thickness dependence plots, or error estimates. Without these, the central thickness-independence claim cannot be evaluated.

    Authors: The full manuscript contains the requested details in the Methods section and Supplementary Information, including the DFT parameters, the explicit formula for the Hall conductivity, numerical values for different thicknesses and stackings, and plots demonstrating the thickness independence. However, we acknowledge that these elements are not referenced or summarized in the abstract or main text in a way that allows immediate evaluation. We will add a concise summary of the key computational results (including representative conductivity values and a reference to the relevant figure) to the main text near the discussion of MnS and ensure the abstract is consistent with the presented data. revision: partial

Circularity Check

0 steps flagged

No circularity detected; derivation self-contained

full rationale

The provided abstract and claims describe a symmetry-engineering strategy for thickness-independent responses via interlayer AFM/AFE coupling, supported by spatial-dependent symmetry analysis and first-principles calculations. No equations, fitted parameters, self-citations, or ansatzes are exhibited that reduce any prediction or result to the inputs by construction. The central claims rest on standard symmetry breaking and computational methods without load-bearing self-referential steps, making the derivation independent of the target outcomes.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only text contains no explicit free parameters, axioms, or invented entities; the ledger is therefore empty.

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