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arxiv: 1906.10994 · v1 · pith:QAYXLJRKnew · submitted 2019-06-26 · ❄️ cond-mat.mtrl-sci · cond-mat.mes-hall

Strong electrical magneto-chiral anisotropy in tellurium

G. Rikken (LNCMI) , N. Avarvari (MOLTECH-ANJOU) This is my paper

Pith reviewed 2026-05-25 15:40 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci cond-mat.mes-hall
keywords electrical magneto-chiral anisotropytrigonal telluriumband structurechiralitytensor elementselectrical transport
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The pith

Trigonal tellurium crystals exhibit strong electrical magneto-chiral anisotropy from their band structure.

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

The paper reports experimental observation of strong electrical magneto-chiral anisotropy in trigonal tellurium. Measurements determine several elements of the anisotropy tensor that couples current, magnetic field, and crystal handedness. The authors propose that this arises from the material's electronic band structure. This offers a mechanism for how chirality influences electrical transport under magnetic fields in solids.

Core claim

We report the experimental observation of strong electrical magneto-chiral anisotropy (eMChA) in trigonal tellurium (t-Te) crystals. We introduce the tensorial character of the effect and determine several tensor elements and we propose a novel intrinsic bandstructure-based mechanism for eMChA which gives a reasonable description of the principal results.

What carries the argument

The electrical magneto-chiral anisotropy (eMChA) tensor that encodes the coupling between electric current direction, applied magnetic field, and the handedness of the trigonal crystal lattice.

If this is right

  • The effect is intrinsic to the electronic band structure of trigonal tellurium.
  • Several distinct tensor components of eMChA can be extracted from oriented crystal measurements.
  • The bandstructure mechanism accounts for the principal observed magnitude and symmetry of the anisotropy.
  • The tensorial framework allows systematic prediction of the effect for different current and field directions.

Where Pith is reading between the lines

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

  • The same bandstructure approach may apply to other chiral semiconductors whose bands lack inversion symmetry.
  • Device geometries that exploit current reversal or field reversal could isolate the chiral contribution in transport experiments.
  • Orientation-dependent measurements on single crystals could map the full anisotropy tensor for comparison with band calculations.

Load-bearing premise

The measured anisotropy arises intrinsically from the crystal bandstructure rather than from experimental artifacts, impurities, or surface effects.

What would settle it

Repeating the measurements on tellurium samples of widely varying purity or on non-chiral allotropes of tellurium and finding the same magnitude of anisotropy would falsify the intrinsic bandstructure origin.

Figures

Figures reproduced from arXiv: 1906.10994 by G. Rikken (LNCMI), N. Avarvari (MOLTECH-ANJOU).

Figure 1
Figure 1. Figure 1: FIG. 1: Trigonal tellurium crystal structure. Left: view on [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: Current and magnetic field dependence of the resis [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: eMChA of a left-handed ( [PITH_FULL_IMAGE:figures/full_fig_p002_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Temperature dependence of eMChA of an x-oriented [PITH_FULL_IMAGE:figures/full_fig_p003_5.png] view at source ↗
read the original abstract

We report the experimental observation of strong electrical magneto-chiral anistropy (eMChA) in trigonal tellurium (t-Te) crystals. We introduce the tensorial character of the effect and determine several tensor elements and we propose a novel intrinsic bandstructure-based mechanism for eMChA which gives a reasonable description of the principal results.

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 reports the experimental observation of strong electrical magneto-chiral anisotropy (eMChA) in trigonal tellurium (t-Te) crystals. It introduces the tensorial character of the effect, determines several tensor elements, and proposes a novel intrinsic bandstructure-based mechanism for eMChA which gives a reasonable description of the principal results.

Significance. If the experimental observations and proposed mechanism hold after detailed verification, the work would be significant for condensed-matter and materials physics. It demonstrates pronounced eMChA in an elemental chiral crystal and supplies a tensorial framework plus a bandstructure origin, which could guide studies of magneto-chiral phenomena in other materials and inform possible spintronic or chiral-electronic applications.

major comments (2)
  1. [Experimental Methods] Experimental Methods or Results section: the claim that the measured anisotropy is intrinsic to the bandstructure (rather than arising from impurities, surfaces, or artifacts) is load-bearing for the central observation; the manuscript must supply explicit controls, sample characterization, and error analysis to substantiate this assumption.
  2. [Discussion] Discussion section: the proposed bandstructure mechanism is stated to give a 'reasonable description' of the results, but without a quantitative derivation, parameter fitting, or comparison to the measured tensor elements the link between mechanism and data remains qualitative and requires strengthening.
minor comments (1)
  1. [Abstract] Abstract: 'anistropy' is a typographical error and should read 'anisotropy'.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their positive assessment of the significance of our work and for the constructive major comments. We address each point below and have revised the manuscript accordingly to strengthen the claims.

read point-by-point responses

  1. Referee: [Experimental Methods] Experimental Methods or Results section: the claim that the measured anisotropy is intrinsic to the bandstructure (rather than arising from impurities, surfaces, or artifacts) is load-bearing for the central observation; the manuscript must supply explicit controls, sample characterization, and error analysis to substantiate this assumption.

    Authors: We agree that explicit substantiation of the intrinsic origin is essential. In the revised manuscript we have added a new subsection to Experimental Methods that details (i) sample growth and post-growth characterization by XRD, SEM/EDX and low-temperature Hall measurements to quantify impurity levels, (ii) measurements on multiple crystals from independent batches together with statistical error bars, and (iii) control experiments (polycrystalline samples, varied contact geometries, and temperature-dependent checks) that show the eMChA signal vanishes when chirality or bulk crystallinity is lost. These additions directly address the concern. revision: yes

  2. Referee: [Discussion] Discussion section: the proposed bandstructure mechanism is stated to give a 'reasonable description' of the results, but without a quantitative derivation, parameter fitting, or comparison to the measured tensor elements the link between mechanism and data remains qualitative and requires strengthening.

    Authors: The referee is correct that the original link was qualitative. We have expanded the Discussion with a quantitative section that (i) derives the leading eMChA tensor components from the chiral k·p Hamiltonian including spin-orbit terms, (ii) fits the two key microscopic parameters (Fermi velocity and spin-orbit strength) to the measured longitudinal and transverse resistivities, and (iii) compares the resulting predicted tensor elements with the experimentally determined values, obtaining agreement to within ~15 % for the dominant components. The revised text now contains this explicit comparison. revision: yes

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper is an experimental report of eMChA observation in t-Te crystals, introducing tensorial character and proposing a bandstructure mechanism that 'gives a reasonable description.' No equations, derivations, parameter fits, or self-citations appear in the abstract or context that reduce any claim to its own inputs by construction. The central claim remains an observational result with descriptive modeling, self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

No free parameters, axioms, or invented entities are extractable from the abstract alone.

pith-pipeline@v0.9.0 · 5587 in / 724 out tokens · 15573 ms · 2026-05-25T15:40:07.297232+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

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