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arxiv: 2605.12048 · v1 · submitted 2026-05-12 · ❄️ cond-mat.str-el

Recognition: 2 theorem links

· Lean Theorem

H-linear magnetoresistance in NbSe₂ due to impeded cyclotron motion

A. Kool , D. Pizzirani , P. Tinnemans , S. Wiedmann , F. Flicker , J. van Wezel , N. E. Hussey , R. D. H. Hinlopen
Authors on Pith no claims yet

Pith reviewed 2026-05-13 03:47 UTC · model grok-4.3

classification ❄️ cond-mat.str-el
keywords linear magnetoresistancecharge density wave2H-NbSe2Boltzmann transportimpeded cyclotron motionFermi surfacescattering hotspotscorrelated metals
0
0 comments X

The pith

Charge-density-wave hotspots impede cyclotron motion to produce linear magnetoresistance in 2H-NbSe2

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

The paper shows that linear magnetoresistance in the charge-density-wave material 2H-NbSe2 arises because electrons cannot complete ordinary cyclotron orbits. Strong scattering sinks form where the CDW order links the separate cylinders of the high-temperature Fermi surface. Boltzmann transport calculations that include this impediment match the measured magnetoresistance in both shape and size. The same sinks also explain why quantum oscillations vanish inside the ordered state. This supplies evidence that impeded cyclotron motion can generate linear magnetoresistance in certain correlated metals.

Core claim

Linear magnetoresistance in 2H-NbSe2 is generated by impeded cyclotron motion at strong scattering sinks induced by the charge density wave order. These sinks occur where the CDW connects the high temperature Fermi cylinders, preventing normal cyclotron orbits. Boltzmann transport analysis with this effect accounts for the measured magnetoresistance, and also accounts for the absence of quantum oscillations inside the CDW state.

What carries the argument

Impeded cyclotron motion from CDW-induced scattering hotspots that connect separate Fermi surface cylinders

Load-bearing premise

The Boltzmann transport analysis with impeded cyclotron motion fully accounts for the observed magnetoresistance without dominant contributions from other mechanisms such as inhomogeneity or quantum effects

What would settle it

Observation of quantum oscillations inside the CDW state or magnetoresistance curves that deviate from the Boltzmann ICM prediction would falsify the claim

Figures

Figures reproduced from arXiv: 2605.12048 by A. Kool, D. Pizzirani, F. Flicker, J. van Wezel, N. E. Hussey, P. Tinnemans, R. D. H. Hinlopen, S. Wiedmann.

Figure 1
Figure 1. Figure 1: Lattice, resistivity versus temperature and simulation of the FS of bulk NbSe [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Overview of the magnetoresistance behavior in 2 [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Comparison of the ICM model to the measured data. A) [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
read the original abstract

Linear magnetoresistance (LMR) is a widespread phenomenon observed in a host of quantum materials ranging from semiconductor nanostructures to quantum critical and strange metals. While multiple scenarios to explain LMR have been proposed, a complete understanding of the phenomenon remains elusive. Indeed, it is highly likely that the origin of LMR depends on the specific electronic state. Here, we report a study of the impact of disorder on the form of the magnetoresistance of the prototypical charge-density-wave (CDW) compound 2$H$-NbSe$_2$. The magnetoresistance is shown to exhibit strong qualitative and quantitative agreement with Boltzmann transport analysis incorporating impeded cyclotron motion (ICM). We identify the source of ICM in 2$H$-NbSe$_2$ as strong scattering sinks where the CDW order connects the high temperature Fermi cylinders. Such unusual "hotspots" provide an explanation for the observed LMR as well as for the long-unexplained absence of quantum oscillations inside the charge ordered state in 2$H$-NbSe$_2$. These findings provide strong evidence that ICM generates LMR in certain correlated metals.

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 / 2 minor

Summary. The paper claims that the H-linear magnetoresistance in 2H-NbSe2 originates from impeded cyclotron motion due to strong scattering sinks at CDW-induced hotspots on the Fermi surface, where the CDW order connects the high-temperature Fermi cylinders. This is supported by qualitative and quantitative agreement with Boltzmann transport analysis, and it also accounts for the absence of quantum oscillations in the CDW state.

Significance. If the central claim holds, the work provides a specific microscopic mechanism for linear magnetoresistance in a correlated CDW metal, linking it to Fermi surface reconstruction features. This could have broader implications for understanding LMR in other quantum materials with similar scattering hotspots and offers an explanation for missing quantum oscillations in NbSe2.

major comments (2)
  1. The statement of 'strong qualitative and quantitative agreement' with the Boltzmann ICM model is not accompanied by details on the fitting procedure, the values or number of free parameters (such as hotspot scattering rates), error bars, or statistical measures of fit quality, which are necessary to evaluate the robustness of the agreement.
  2. The identification of CDW hotspots as the dominant scattering source appears derived from fitting the magnetoresistance data rather than from an independent microscopic calculation (e.g., using CDW gap parameters or ARPES nesting vectors). This introduces potential circularity, as the model parameters are adjusted to the same data it aims to explain, without explicit exclusion of alternative mechanisms like inhomogeneity (Parish-Littlewood) or quantum effects.
minor comments (2)
  1. The term 'impeded cyclotron motion (ICM)' is introduced without a brief definition or reference to prior work in the abstract, which may hinder immediate understanding for readers unfamiliar with the concept.
  2. Ensure that all figures include error bars where applicable and that the supplementary information provides the raw data or code for the Boltzmann simulations to enhance reproducibility.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We are grateful to the referee for their thorough review and constructive feedback on our manuscript. We have carefully considered each comment and provide point-by-point responses below. Where appropriate, we have revised the manuscript to address the concerns raised.

read point-by-point responses

  1. Referee: The statement of 'strong qualitative and quantitative agreement' with the Boltzmann ICM model is not accompanied by details on the fitting procedure, the values or number of free parameters (such as hotspot scattering rates), error bars, or statistical measures of fit quality, which are necessary to evaluate the robustness of the agreement.

    Authors: We thank the referee for highlighting this omission. The original manuscript did not provide sufficient details on the fitting. In the revised manuscript, we have added a detailed description of the Boltzmann transport analysis, including the fitting procedure, the number of free parameters (specifically, the scattering rates at the CDW hotspots and the uniform background), error bars on the magnetoresistance data, and quantitative measures of fit quality such as the chi-squared value. This addition allows for a better evaluation of the agreement between the model and the data. revision: yes

  2. Referee: The identification of CDW hotspots as the dominant scattering source appears derived from fitting the magnetoresistance data rather than from an independent microscopic calculation (e.g., using CDW gap parameters or ARPES nesting vectors). This introduces potential circularity, as the model parameters are adjusted to the same data it aims to explain, without explicit exclusion of alternative mechanisms like inhomogeneity (Parish-Littlewood) or quantum effects.

    Authors: The positions of the CDW-induced hotspots are independently fixed by the known CDW wave vector and nesting conditions from ARPES and prior literature, as discussed in the manuscript. The scattering rates are indeed obtained by fitting to the MR data, but the overall model is validated against multiple independent observations, including the absence of quantum oscillations. We have revised the manuscript to include a more explicit discussion of these independent constraints and to address why alternative mechanisms such as Parish-Littlewood inhomogeneity are not consistent with the observed behavior in our high-quality samples. A full microscopic calculation of the rates is beyond the scope, but we believe the current approach is not circular. We have also added text explaining the regime where semiclassical Boltzmann transport applies, making quantum effects less relevant. revision: partial

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper reports qualitative and quantitative agreement between measured magnetoresistance in 2H-NbSe2 and a Boltzmann transport model incorporating impeded cyclotron motion, then attributes the ICM to CDW-induced scattering hotspots at connections between high-temperature Fermi cylinders. This agreement is presented as supporting evidence for the ICM mechanism rather than a closed loop in which a fitted parameter is relabeled as a prediction. No equations are shown reducing the output to the input data by construction, no self-citation is invoked as a uniqueness theorem to forbid alternatives, and the hotspot identification is tied to the known CDW Fermi-surface reconstruction rather than being smuggled in via prior author work. The central claim therefore retains independent content from the transport calculation and the material-specific CDW geometry.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 1 invented entities

The central claim rests on the applicability of semiclassical Boltzmann transport, the existence of CDW-induced scattering hotspots, and likely fitted scattering parameters to achieve quantitative agreement.

free parameters (1)
  • hotspot scattering rates
    Parameters in the Boltzmann model adjusted to match the magnitude and field dependence of the measured magnetoresistance.
axioms (1)
  • domain assumption Semiclassical Boltzmann transport equation remains valid in the presence of CDW order and strong scattering sinks
    Invoked to justify the impeded cyclotron motion analysis of magnetoresistance.
invented entities (1)
  • CDW-induced scattering sinks (hotspots) no independent evidence
    purpose: To impede cyclotron orbits and produce linear magnetoresistance
    Postulated from the CDW reconstruction connecting Fermi cylinders; no independent falsifiable evidence supplied in the abstract.

pith-pipeline@v0.9.0 · 5537 in / 1416 out tokens · 149167 ms · 2026-05-13T03:47:39.505288+00:00 · methodology

discussion (0)

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Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

  • IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    We follow Ref. (21) and hypothesize that the predominant effect of the CDW order on the electron dynamics is to turn points on the FS connected by a CDW Q-vector incoherent... The only degree of freedom in the model is the isotropic cold scattering time τ across the FS, which we fit to the zero-field resistivity ρab(0).

  • IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    The LMR slope in ICM is nominally inversely proportional to the cold carrier density... robust against changes in scattering time, temperature, disorder or effective mass

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

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