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REVIEW 4 major objections 7 minor 47 references

Discovery of a 1D edge mode in a Magnetic Topological semimetal

T0 review · 4 major / 7 minor · reviewed 2026-08-07 · deepseek-v4-flash

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Pith's one-line read The paper demonstrates that single-layer step edges on the ferromagnetic surface of NdBi act as magnetic domain walls and bind one-dimensional edge modes that vanish above the Néel temperature.

desk verdict A credible first observation of a 1D edge mode on FM step edges in NdBi, with the domain-wall interpretation resting on an inferred spin structure and a missing even-step control. read the letter →

arxiv 2506.09041 v1 pith:4R3SARY2 submitted 2025-06-10 cond-mat.str-el

Avior Almoalem , Rebecca Chan , Brinda Kuthanazhi , Juan Scmidt , Jose A. Moreno , Hermann Suderow , Paul Canfield , Taylor L. hughes
show 1 more author
Vidya Madhavan
This is my paper
classification cond-mat.str-el
keywords NdBimagnetictopologicalsemimetalspin-polarizedscanningtunnelingmicroscopyone-dimensionaledgemodeschiraldomain-wallquasiparticleinterferenceantiferromagneticinsulator
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

The paper reports that single-layer step edges on the ferromagnetic surface of the magnetic topological semimetal NdBi carry a one-dimensional electronic mode with enhanced tunneling conductance, and that this mode disappears above the Néel temperature. The authors identify these steps as magnetic domain walls between terraces with opposite spin orientation, and they show that identical step edges on antiferromagnetic surfaces show no such mode. This is the first experimental demonstration of a domain-wall edge mode in a rare-earth monopnictide, a material class where ferromagnetic surfaces were predicted to host gapped Dirac cones with chiral boundary states. The result matters because it extends the antiferromagnetic-topological-insulator picture to gapless metals and suggests NdBi as a platform for studying chiral edge states and proximitized Majorana modes.

What carries the argument

The central object is the single-layer step edge on the ferromagnetic surface, treated as a magnetic domain wall. Because NdBi orders antiferromagnetically with spins co-aligned within each layer and alternating between layers, an odd step of 320 pm exposes a terrace whose spin orientation is opposite to the terrace below it; the boundary between them is where the surface Dirac cone, gapped by the ferromagnetic magnetization, must bind a chiral one-dimensional mode. The experimental machinery that identifies it is spin-polarized scanning tunneling microscopy: a Cr tip whose magnetization is confirmed and reversible produces images with a doubled unit cell and characteristic Fourier peaks on antiferromagnetic surfaces but uniform contrast on ferromagnetic surfaces, allowing the two terminations to be distinguished and the edge-localized conductance to be mapped.

What would settle it

Direct spin-resolved measurements at such a step would settle the claim: if the terraces on either side of a 320 pm step show the same spin orientation, or if the edge conductance persists above the Néel temperature when the crystal structure is unchanged, then the edge mode is not a magnetic-domain-wall chiral mode. A calculation showing no bound state for the nominal surface Dirac cone with the measured magnetization would also falsify it.

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Extended reading notes

Core claim

On the ferromagnetic termination of NdBi, scanning tunneling spectroscopy with a spin-polarized Cr tip finds a narrow, roughly 15 angstrom wide strip of enhanced conductance along single atomic step edges, present at energies above the Fermi level. This strip is absent on the terrace, absent on equivalent step edges of the antiferromagnetic surface, and absent above the Néel temperature; the same tip and same crystal geometry are used in all cases. The paper interprets the step as a magnetic domain wall because a one-layer, 320 pm step separates consecutive spin-alternating layers, so the gapped topological surface Dirac cone on the ferromagnetic surface binds a one-dimensional chiral mode at the boundary. The conclusion is that NdBi, despite having gapless bulk Weyl and Dirac features, hosts well-localized domain-wall edge modes of the kind previously proposed for antiferromagnetic topological insulators.

Load-bearing premise

The interpretation depends on the assumption that a single-layer step on the ferromagnetic surface separates terraces with opposite spin orientation, so that the step is a magnetic domain wall; the paper infers this from the 320 pm step height and crystal structure, but it does not directly measure the spin direction on the two terraces.

Editorial extensions

If this is right

  • Ferromagnetic surfaces of NdBi and other rare-earth monopnictides can be used as controlled hosts for one-dimensional edge states without needing a fully insulating bulk.
  • The edge mode's disappearance above the Néel temperature ties it to magnetism, so temperature can serve as a switch for the conducting channel.
  • Because the mode sits above the Fermi level where the bulk density of states is low, it is spectrally isolated and accessible to transport or proximity experiments.
  • The absence of the mode on antiferromagnetic step edges rules out dangling-bond or trivial step-scattering explanations, since both surfaces share the same crystal structure.
  • Proximitizing these edges with a superconductor is a plausible route toward chiral Majorana modes, as the paper proposes.

Reading between the lines

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

  • The chirality of the mode is inferred from theory rather than measured directly; a transport measurement of one-way conduction along the edge would turn the identification into a standalone result.
  • If the domain-wall picture is correct, similar edge modes should appear on any odd step edge of any ferromagnetic termination across the rare-earth monopnictide family, not just NdBi, provided the surface Dirac cone is gapped.
  • The roughly 15 angstrom localization length is short enough that coupled edge modes on closely spaced steps could hybridize; this could be tested by STM on terraces narrower than the localization length.
  • A direct measurement of the spin structure at the step, for example with spin-resolved STM or magnetic exchange-force imaging, would remove the main gap between the experiment and its interpretation.
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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 / 7 minor

Summary. The manuscript reports a spin-polarized STM/STS study of the antiferromagnetic topological semimetal NdBi. It identifies two surface terminations: an antiferromagnetic (AFM) surface exhibiting a √2-larger real-space periodicity and C₂-symmetric quasiparticle interference (QPI) well reproduced by a JDOS simulation based on independent ARPES-derived bands, and a nominally ferromagnetic (FM) surface characterized by the absence of AFM peaks and of QPI. On step edges of the FM surface the authors observe a conductance enhancement localized within roughly 1.5 nm of the edge at positive bias; this feature is absent on AFM step edges and disappears above the Néel temperature. The central claim is that these step edges are magnetic domain walls separating opposite-spin terraces and that the observed mode is a 1D chiral edge state.

Significance. If the interpretation holds, the result is significant: it would provide the first direct visualization of 1D edge modes on FM terminations of an AFM topological semimetal with a gapless bulk, extending the antiferromagnetic-topological-insulator picture to metals and supporting proposals for Majorana platforms in proximitized rare-earth monopnictides. The paper has clear strengths: the QPI analysis uses independently published ARPES bands rather than fitted parameters; the same Cr tip was used on both FM and AFM surfaces; the edge feature is localized, reproducible, and temperature-controlled; and the AFM step-edge control is a sensible comparison. However, the central identification of the FM surface and of the step as a magnetic domain wall rests on indirect evidence, and the chiral assignment is inferred rather than directly measured.

major comments (4)
  1. [Results, 'FM surface and 1D Edge Modes' (Fig. 3a inset; Supplementary Fig. S6)] The assignment of the 'FM surface' is based entirely on negative fingerprints: the absence of AFM peaks in the FFT of Cr-tip topography and the absence of QPI in conductance maps. This does not exclude an AFM termination whose moments are oriented perpendicular to the tip spin polarization, in which case the spin-dependent tunneling matrix element would also be uniform across the surface. A direct control is needed, for example imaging the same terrace with opposite tip magnetization as demonstrated for Fe₁₊ₓTe in Supplementary Fig. S1, or comparing with nonmagnetic W-tip topography and spectroscopy on the same region to show that the absence of AFM contrast is magnetic in origin.
  2. [Results, 'FM surface and 1D Edge Modes' (Fig. 3b)] The claim that a 320 pm step separates terraces of opposite spin and therefore acts as a magnetic domain wall is inferred solely from the step height and the bulk layer-by-layer spin alternation; no spin-sensitive measurement across the step is presented. Because this premise is load-bearing for the interpretation of the edge mode, the absence of the complementary control is a serious gap: an even step of approximately 640 pm on the same FM surface should connect same-spin terraces and should show no edge mode if the domain-wall picture is correct. The AFM step-edge control in Fig. 3e–h is suggestive, but it simultaneously changes the magnetic structure and the surface electronic structure, so it does not isolate the spin-reversal mechanism.
  3. [Discussion (Fig. 4) and title/abstract] The term 'chiral' is used throughout the Discussion and in the abstract's closing statement, but the measurements are local density-of-states maps and do not directly probe directionality, spin texture, or quantized transport. Chirality is a theoretical interpretation based on refs. [26,27]. The title and abstract appropriately say '1D edge mode' in the main claim, but the Discussion states that the modes are 'well-localized, chiral step-edge states' as though this were experimentally established. The authors should either soften the chiral claim or explicitly state that chirality is inferred from theory, not measured.
  4. [Results, 'FM surface and 1D Edge Modes' (Fig. 3c,d) and Discussion] The edge mode is observed only at positive bias; the dI/dV map at −50 meV in Fig. 3d shows no detectable enhancement. The authors attribute this to the rising bulk density of states below E_F, but no normalization, background subtraction, or model calculation is provided to demonstrate that the edge state is present below E_F and merely masked. As written, the energy range of the observed mode is one-sided, which weakens the quantitative comparison with the calculated gapped Dirac cones and edge-state dispersion shown in Fig. 4.
minor comments (7)
  1. [Fig. 1d caption] The inset caption says '0.46 mn' but the unit should be 'nm'.
  2. [References] References [5] and [6] are the same paper (Chang et al., Science 340, 167–170) and should be consolidated.
  3. [Acknowledgments] 'Gordon and Betty More Foundation' should read 'Gordon and Betty Moore Foundation'.
  4. [Fig. 4 caption] The caption says 'according to DFT calculations presented in [16]', but reference [16] is Zhang & Liu on topological magnetic crystalline insulators; the intended reference appears to be [26] or [27].
  5. [Supplementary Fig. S7 caption] The caption states 'Map was taken down to 400 pm' without specifying what quantity is meant; please clarify the vertical range or the bias/current settings.
  6. [Main text and Supplementary Information] The spelling of 'Néel' is inconsistent across the manuscript (e.g., 'TNéel', 'T Néel', and 'TNéel' appear in different places); please standardize.
  7. [Supplementary Fig. S8 caption] The caption says 'the same edge as in Figure S8' but the edge is shown in Supplementary Fig. S7; the cross-reference should be corrected.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the edge-mode observation is an independent STM measurement corroborated by external ARPES/DFT inputs and a temperature/control comparison.

full rationale

The paper's derivation chain is empirical and self-contained. The identification of AFM surfaces via the enlarged spin-polarized unit cell and of FM surfaces by the absence of AFM peaks and QPI is based directly on STM topography and conductance maps, not on any fitted model. The QPI simulation uses ARPES-derived Fermi-surface contours from a prior measurement (ref. 25) as inputs and compares the resulting JDOS with the measured FFT; this is a comparison against external data, not a fit renamed as a prediction. The 1D edge mode is identified as a raw enhancement of dI/dV conductance localized within ~15 Å of the step edge, and its assignment is supported by temperature dependence across TNéel and by an AFM step-edge control. The load-bearing inference that a 320 pm single-layer step on an FM terrace separates opposite-spin layers follows logically from the assumed alternating-layer spin structure of the FM termination, rather than being defined in terms of the observed edge conductance. No fitted parameter is renamed as a prediction, and the theoretical references used for the chiral-mode interpretation are foundational external works, not self-citations invoked to forbid alternatives. The absence of an even-layer-step control on the FM surface is a legitimate experimental caveat about the magnetic-domain-wall assignment, but it is not a circularity in the derivation.

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

The paper introduces no free parameters fitted to data. It relies on the known magnetic structure of NdBi, standard SP-STM imaging theory, and external ARPES and DFT results. The main ad hoc assumption is that a monolayer step on the FM surface is a magnetic domain wall, which is not directly verified. No new particles, forces, or entities are introduced.

assumptions (4)
  • ad hoc to paper The bulk magnetic structure of NdBi has alternating layers of Nd spins, so that a single-layer step on a (001) surface changes the spin orientation between the two terraces.
    The paper assumes this to interpret monolayer steps on the FM surface as magnetic domain walls. It is not directly measured in this work, only inferred from the known crystal structure and step height. See Results and Figure 4e.
  • domain assumption Spin-polarized STM contrast reflects the local spin orientation of surface atoms, with tunneling matrix element suppressed for antiparallel spins.
    This is standard SP-STM theory, cited from refs 32 and 33, and used to interpret the doubled periodicity in Cr-tip images as AFM ordering.
  • domain assumption The DFT calculations from refs 26 and 27 correctly predict that FM surface terminations have gapped Dirac cones and no Fermi arcs, while AFM surfaces have Fermi arcs and electron-like surface states.
    The paper uses these external calculations to identify the FM surface by the absence of QPI and to motivate the existence of a chiral edge state.
  • domain assumption The ARPES-derived bands from ref 25 accurately represent the surface states and Fermi arcs used in the QPI simulation.
    The JDOS simulation in Figure 2d is based on the Fermi surface from ref 25, and the agreement with the QPI data is used to confirm the origin of the scattering vectors.

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Cite this review

Pith. "Pith review of Discovery of a 1D edge mode in a Magnetic Topological semimetal." pith.science (2026). https://pith.science/paper/4R3SARY2

@misc{pith2026250609041,
  author       = {Pith},
  title        = {Pith review of: Discovery of a 1D edge mode in a Magnetic Topological semimetal},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/4R3SARY2}},
  note         = {Machine review of arXiv:2506.09041}
}
read the original abstract

In rare-earth monopnictides like NdBi, the interplay between magnetism and topology results in an extremely unusual topological semimetal phase which simultaneously hosts Weyl points with Fermi arcs as well as massive and massless Dirac cones. A central question in this class of materials is whether ferromagnetic surfaces with gapped Dirac cones can also host robust well-defined chiral edge states. In this study, we use spin-polarized scanning tunneling microscopy (SP-STM) and spectroscopy to investigate the correlation between the magnetic and topological properties of NdBi. By combining SP-STM imaging with quasiparticle interference, we identify distinct signatures of both antiferromagnetic and ferromagnetic surface terminations and correlate them with their respective band structures. Crucially, we demonstrate that step edges on the ferromagnetic surface which serve as magnetic domain walls host well-defined one-dimensional (1D) edge modes that vanish above the N\'eel temperature. Our findings position NdBi as a promising platform for further explorations of 1D chiral edge modes and future realizations of Majorana states in proximitized rare-earth monopnictides.

Figures

Figures reproduced from arXiv: 2506.09041 by the authors.

Figure 4
Figure 4. This suggests that the edge state should appear both below and above EF. However, as can be clearly seen from the dI/dV spectra in Figure 3a, e, the density of states rises sharply below EF which obscures the edge state below EF, Fig. 3d. This scenario is reinforced by the fact that measurements taken on the AFM surface show no clear changes at -50 meV, where the surface state starts dispersing indicating that that … view at source ↗

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Reviewed August 7, 2026 · model on record in the stance chip above.