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arxiv: 2406.12134 · v1 · submitted 2024-06-17 · ❄️ cond-mat.mes-hall

Observation of Temperature Independent Anomalous Hall Effect in Thin Bismuth from Near Absolute Zero to 300 K Temperature

Oulin Yu , F. Boivin , A. Silberztein , G. Gervais This is my paper

Pith reviewed 2026-05-23 23:43 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords anomalous Hall effectbismuththin filmstemperature independentBerry curvaturesemi-metalsdiamagnetic
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0 comments X

The pith

Pure bismuth thin films display a temperature-independent anomalous Hall effect from 15 mK to 300 K.

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

The paper reports the observation of an anomalous Hall effect in a 68 nm thick pure bismuth device that remains constant in magnitude across temperatures from 15 millikelvin to room temperature. This occurs alongside the expected temperature-dependent longitudinal resistance of semi-metallic bismuth but without any magnetoresistance up to 30 tesla. The authors argue that the effect is intrinsic rather than due to impurities, proposing that surface Berry curvature breaking inversion symmetry provides the necessary symmetry breaking despite bismuth being diamagnetic.

Core claim

A temperature-independent anomalous Hall effect is observed in thin pure bismuth from near absolute zero to 300 K, analyzed as intrinsic and attributed to surface Berry curvature.

What carries the argument

Surface Berry curvature in bismuth that breaks inversion symmetry and generates intrinsic anomalous Hall conductivity.

If this is right

  • The anomalous Hall effect remains constant while longitudinal resistance follows semi-metallic temperature dependence.
  • No magnetoresistance appears for fields up to 30 T.
  • Reconstructed conductivities indicate the anomalous Hall effect is intrinsic.
  • Surface Berry curvature is proposed as the symmetry-breaking mechanism.

Where Pith is reading between the lines

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

  • Similar temperature-independent effects could be sought in other diamagnetic semi-metals with surface states.
  • Thickness-dependent measurements would help confirm whether the effect is confined to the surface.
  • Stable Hall response across wide temperature range might enable new device concepts if the mechanism holds.

Load-bearing premise

The bismuth sample contains no undetected magnetic contaminants and the conductivity values are accurately reconstructed from resistance measurements.

What would settle it

Detection of magnetic impurities via direct measurement or observation of clear temperature dependence in the anomalous Hall conductivity would contradict the central claim.

Figures

Figures reproduced from arXiv: 2406.12134 by A. Silberztein, F. Boivin, G. Gervais, Oulin Yu.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Resistances as a function of the magnetic field at [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
read the original abstract

We report our discovery of a temperature independent anomalous Hall effect (AHE) from 15 mK to 300 K temperature occurring in a 68 nm thick transport device made out of pure bismuth. This surprising behaviour is accompanied with an expected temperature dependent longitudinal resistance consistent with semi-metallic bismuth, however it surprisingly showed no hint of a magnetoresistance for magnetic fields between $\pm30$ T. Even though bismuth is a diamagnetic material which {\it a priori} does not break time-reversal symmetry (TRS), our analysis of the reconstructed conductivities points towards the AHE to be of the intrinsic type, which does not emanate from magnetic impurities. Finally, as pure bismuth has been shown numerically to host a Berry curvature at its surface which breaks inversion symmetry, we propose it as a possible explanation for the temperature independent AHE observed here.

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

3 major / 2 minor

Summary. The manuscript reports the observation of a temperature-independent anomalous Hall effect (AHE) in a 68 nm thick transport device fabricated from pure bismuth, spanning 15 mK to 300 K. Longitudinal resistance follows the expected semimetallic temperature dependence, yet no magnetoresistance appears for fields up to ±30 T. Conductivity reconstruction from the measured resistivities is used to argue that the AHE is intrinsic rather than impurity-driven, with surface Berry curvature (from prior numerical work) proposed as the origin despite the diamagnetic character of bulk bismuth.

Significance. If substantiated, the result would be significant: a temperature-independent intrinsic AHE over four orders of magnitude in temperature in a non-magnetic semimetal would challenge standard pictures of Hall transport and highlight possible surface-state contributions in bismuth. The wide temperature range and reported absence of MR constitute notable experimental features that, if robust, merit attention in mesoscopic and topological transport studies.

major comments (3)
  1. [Abstract / conductivity reconstruction section] Abstract and § on conductivity analysis: the claim that reconstructed conductivities demonstrate an intrinsic AHE (not due to magnetic impurities) is load-bearing, yet the manuscript provides no explicit description of the inversion procedure (e.g., whether a full tensor inversion accounting for possible anisotropy or contact geometry was used) nor any supporting checks such as consistency with Onsager relations or error propagation from the high ρ_xx values typical of bismuth.
  2. [Sample preparation / results] Sample characterization and § on device fabrication: exclusion of magnetic contaminants at levels sufficient to produce a spontaneous Hall signal requires direct evidence (e.g., magnetization measurements, impurity spectroscopy, or control samples), which is not reported; without this the intrinsic interpretation cannot be distinguished from extrinsic contributions.
  3. [Magnetotransport results] Magnetotransport data (§ on MR measurements): the complete absence of magnetoresistance up to 30 T is atypical for high-mobility bismuth films and directly affects the reliability of Hall resistivity extraction; the manuscript must demonstrate that this null result does not arise from current-jetting, inhomogeneous current distribution, or measurement geometry that could artifactually produce an apparent AHE.
minor comments (2)
  1. Notation for the anomalous Hall conductivity should be defined explicitly when first introduced and used consistently throughout.
  2. Figure captions for Hall and longitudinal data should include raw resistivity values, error bars, and the precise definition of the extracted AHE component.

Simulated Author's Rebuttal

3 responses · 1 unresolved

We thank the referee for their careful reading of the manuscript and for raising these important points. We address each major comment below and indicate where revisions will be made.

read point-by-point responses

  1. Referee: [Abstract / conductivity reconstruction section] Abstract and § on conductivity analysis: the claim that reconstructed conductivities demonstrate an intrinsic AHE (not due to magnetic impurities) is load-bearing, yet the manuscript provides no explicit description of the inversion procedure (e.g., whether a full tensor inversion accounting for possible anisotropy or contact geometry was used) nor any supporting checks such as consistency with Onsager relations or error propagation from the high ρ_xx values typical of bismuth.

    Authors: We agree that the conductivity reconstruction procedure requires a more explicit description to support the intrinsic AHE claim. In the revised manuscript we will add a dedicated paragraph detailing the inversion method, including confirmation that a full tensor inversion was performed while accounting for the rectangular sample geometry and assuming in-plane isotropy. We will also incorporate explicit checks for Onsager reciprocity (ρ_xy(B) = −ρ_xy(−B)) and a brief error-propagation analysis based on the measured ρ_xx uncertainties. revision: yes

  2. Referee: [Sample preparation / results] Sample characterization and § on device fabrication: exclusion of magnetic contaminants at levels sufficient to produce a spontaneous Hall signal requires direct evidence (e.g., magnetization measurements, impurity spectroscopy, or control samples), which is not reported; without this the intrinsic interpretation cannot be distinguished from extrinsic contributions.

    Authors: The source material was 99.999 % pure bismuth and the AHE remains strictly temperature-independent from 15 mK to 300 K, a dependence that is atypical for dilute magnetic-impurity mechanisms. Nevertheless, we acknowledge that direct magnetization or impurity-spectroscopy data on the actual devices would provide stronger exclusion. No such measurements were performed on these thin-film devices. We will therefore revise the text to state this limitation explicitly and to emphasize that the temperature independence and conductivity analysis constitute the primary evidence against an extrinsic origin. revision: partial

  3. Referee: [Magnetotransport results] Magnetotransport data (§ on MR measurements): the complete absence of magnetoresistance up to 30 T is atypical for high-mobility bismuth films and directly affects the reliability of Hall resistivity extraction; the manuscript must demonstrate that this null result does not arise from current-jetting, inhomogeneous current distribution, or measurement geometry that could artifactually produce an apparent AHE.

    Authors: We agree that the reported absence of MR up to 30 T is surprising for bismuth and must be shown to be free of geometric artifacts. In the revised version we will add a short subsection discussing the Hall-bar geometry, contact placement, and current uniformity. We will include a qualitative argument that current-jetting is suppressed by the thin-film aspect ratio and the absence of strong longitudinal MR itself, together with a note that the extracted Hall resistivity satisfies Onsager symmetry across the full field range. revision: yes

standing simulated objections not resolved
  • Direct magnetization or impurity-spectroscopy measurements on the fabricated devices to exclude magnetic contaminants at the sensitivity needed to rule out an extrinsic AHE.

Circularity Check

0 steps flagged

No circularity: experimental observation supported by external numerical literature

full rationale

The paper reports direct experimental measurements of a temperature-independent Hall signal in a bismuth thin film, reconstructs conductivities via standard tensor inversion, and interprets the result as intrinsic AHE by citing prior independent numerical calculations of surface Berry curvature. No parameters are fitted to the target quantity and then relabeled as predictions, no self-citations form the load-bearing justification, and the central claim remains an empirical observation rather than a closed deductive loop. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The claim rests on domain assumptions about bismuth's diamagnetic nature and sample purity, with no free parameters, new entities, or ad-hoc axioms introduced in the abstract.

axioms (1)
  • domain assumption Pure bismuth is diamagnetic and does not break time-reversal symmetry a priori.
    Invoked in abstract to highlight the surprising nature of the AHE observation.

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Reference graph

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