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arxiv: 2606.29048 · v1 · pith:ZW5SQ37Onew · submitted 2026-06-27 · ❄️ cond-mat.str-el

Multiple closely spaced transitions and multi-band Hall response in clean ScV₆Sn₆

Jonathan M. DeStefano , Elliott Rosenberg , Chaowei Hu , Xiaodong Xu , Jiun-Haw Chu This is my paper

Pith reviewed 2026-06-30 08:04 UTC · model grok-4.3

classification ❄️ cond-mat.str-el
keywords kagome metalcharge density waveHall resistivitymulti-band transportresidual resistivity ratioquantum oscillationsScV6Sn6
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The pith

Improved crystals show ScV6Sn6 Hall anomaly comes from multi-band transport with high-mobility pockets, not intrinsic anomalous Hall effect.

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

The authors grew ScV6Sn6 crystals with residual resistivity ratios exceeding 50, far higher than prior work, and mapped the charge density wave phase across this mobility range. They find a sequence of closely spaced transitions near the CDW temperature that only appears above RRR approximately 4, and use elastoresistivity to show the intermediate phase breaks the parent lattice's three-fold rotational symmetry. Across the full RRR range and in Cr-doped samples, the low-field Hall response matches a multi-band model calibrated on quantum oscillation data for small high-mobility pockets and deviates from expectations for an intrinsic anomalous Hall contribution.

Core claim

High-quality crystals resolve multiple closely spaced transitions near T_CDW that emerge above RRR approximately 4; the intermediate phase breaks three-fold symmetry. The Hall resistivity across the entire mobility range and in doped samples is quantitatively accounted for by ordinary multi-band transport involving small, high-mobility pockets seen in quantum oscillations, with no need to invoke an intrinsic anomalous Hall effect.

What carries the argument

Mobility-tuned crystals (RRR >50) combined with quantum-oscillation-calibrated multi-band transport model that reproduces the full Hall resistivity data set.

If this is right

  • A sequence of closely spaced transitions appears near T_CDW once RRR exceeds approximately 4.
  • The intermediate phase breaks three-fold rotational symmetry of the parent structure.
  • Hall data remain consistent with multi-band transport even as RRR varies over an order of magnitude and with Cr substitution.
  • Systematic mobility tuning distinguishes ordinary multi-band Hall signals from any intrinsic anomalous Hall effect in kagome CDW materials.

Where Pith is reading between the lines

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

  • The same RRR-threshold approach could be used in related kagome compounds to test whether reported anomalous Hall signals survive in the clean limit.
  • The symmetry-breaking intermediate phase may correspond to a specific CDW stacking or distortion pattern whose order parameter can now be constrained by the observed transition sequence.
  • If the high-mobility pockets dominate transport, similar small Fermi-surface features may control other responses such as thermal conductivity or superconductivity in this family.

Load-bearing premise

A multi-band transport model fitted only to quantum oscillation frequencies and mobilities fully explains the measured Hall resistivity for all RRR values and Cr-doped samples with zero intrinsic anomalous Hall contribution.

What would settle it

A systematic deviation between the measured Hall resistivity and the multi-band model prediction that grows with increasing RRR or appears in additional doping series while quantum oscillation frequencies remain unchanged.

Figures

Figures reproduced from arXiv: 2606.29048 by Chaowei Hu, Elliott Rosenberg, Jiun-Haw Chu, Jonathan M. DeStefano, Xiaodong Xu.

Figure 1
Figure 1. Figure 1: RRR and Transitions - 20260619 a b c d FIG. 1. Phase transitions in clean ScV6Sn6. a, In-plane resistivity ρxx, normalized by its 300 K value, as a function of temperature for ScV6Sn6 samples with RRR ranging from 3.5 to 50.2. b, Top: dρxx dT near TCDW for several samples, offset vertically for clarity and shifted in temperature so that the high-temperature peak aligns with 0 K. A single peak in the RRR = … view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7 [PITH_FULL_IMAGE:figures/full_fig_p011_7.png] view at source ↗
read the original abstract

The kagome metal ScV$_6$Sn$_6$ has attracted attention as a platform for exploring the interplay between charge density wave (CDW) order and symmetry-breaking phenomena, including a recently reported intermediate phase and a low-field Hall anomaly that has been attributed to an anomalous Hall effect (AHE). The interpretation of both observations has been limited by the modest sample quality achieved by previous growth procedures, which produced crystals with in-plane residual resistivity ratios (RRR) of at most $\approx$9. Here, we report a simple modification of the flux growth procedure that yields ScV$_6$Sn$_6$ single crystals with RRR exceeding 50, more than five times the previous highest reported value, and use this expanded mobility range to revisit both the symmetry and the magnetotransport of the CDW phase. We resolve a sequence of closely spaced transitions in the immediate vicinity of $T_{CDW}$ that emerges above a sharp threshold of RRR $\approx 4$, and demonstrate through elastoresistivity that the intermediate phase breaks the three-fold rotational symmetry of the parent lattice. We examine the Hall response from both the parent samples across the full RRR range as well as Cr-doped samples, and conclude it is quantitatively inconsistent with an intrinsic AHE and is instead explained by ordinary multi-band transport involving small, high-mobility pockets identified through quantum oscillations. These results refine the symmetry-breaking landscape of ScV$_6$Sn$_6$ and establish systematic mobility tuning as a diagnostic for disentangling an intrinsic AHE from multi-band Hall contributions in kagome CDW systems.

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

1 major / 3 minor

Summary. The manuscript reports a modified flux growth yielding ScV6Sn6 crystals with RRR>50 (fivefold improvement), resolving a sequence of closely spaced transitions near T_CDW that appear only above RRR≈4, elastoresistivity data establishing that the intermediate phase breaks three-fold rotational symmetry, and a multi-band Drude analysis of Hall resistivity (ρ_xy) across the full RRR range and Cr-doped samples. The central claim is that the observed Hall response is quantitatively accounted for by ordinary multi-band transport from small, high-mobility pockets identified via quantum oscillations, rendering an intrinsic anomalous Hall effect unnecessary.

Significance. If the multi-band model holds, the work refines the CDW symmetry-breaking landscape in ScV6Sn6 and supplies a practical diagnostic (systematic mobility tuning via RRR and doping) for separating multi-band Hall contributions from intrinsic AHE in kagome CDW materials. The high-RRR crystals and elastoresistivity results are clear experimental advances; the transport analysis, if robustly constrained by the QO data, would be a useful methodological contribution.

major comments (1)
  1. [Hall resistivity analysis] Hall resistivity section (likely §4 or equivalent): the claim of quantitative inconsistency with intrinsic AHE requires that the multi-band Drude model, with carrier densities and mobilities fixed or tightly constrained by the measured QO frequencies, effective masses, and Dingle temperatures, reproduces ρ_xy(B,T) across all RRR values and Cr concentrations with no statistically significant residual that would accommodate a small σ_AHE term. The manuscript should explicitly report the number of free parameters versus data points, the goodness-of-fit metric (e.g., reduced χ²), and a direct test of whether adding a constant AHE conductivity improves the fit beyond the multi-band model alone; without this, the central claim remains vulnerable to the possibility that scattering-rate variations absorb a small AHE contribution.
minor comments (3)
  1. [Elastoresistivity measurements] Elastoresistivity data: the symmetry-breaking conclusion would be strengthened by showing the raw strain dependence and the extracted coefficients with error bars.
  2. [Quantum oscillations] Quantum oscillation figures: label the assigned Fermi-surface pockets and their correspondence to the Hall carriers explicitly.
  3. [Methods] Growth procedure: provide the precise modification to the flux recipe (temperature profile, starting composition) to enable reproduction.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive evaluation of the high-RRR crystals, elastoresistivity results, and overall significance, as well as for the constructive critique of the Hall analysis. We address the single major comment below and will incorporate the requested statistical details in a revised manuscript.

read point-by-point responses

  1. Referee: [Hall resistivity analysis] Hall resistivity section (likely §4 or equivalent): the claim of quantitative inconsistency with intrinsic AHE requires that the multi-band Drude model, with carrier densities and mobilities fixed or tightly constrained by the measured QO frequencies, effective masses, and Dingle temperatures, reproduces ρ_xy(B,T) across all RRR values and Cr concentrations with no statistically significant residual that would accommodate a small σ_AHE term. The manuscript should explicitly report the number of free parameters versus data points, the goodness-of-fit metric (e.g., reduced χ²), and a direct test of whether adding a constant AHE conductivity improves the fit beyond the multi-band model alone; without this, the central claim remains vulnerable to the possibility that scattering-rate variations absorb a small AHE contribution.

    Authors: We agree that explicit reporting of fit statistics is required to make the quantitative claim robust. In the revised manuscript we will add, for each RRR value and Cr concentration: (i) the number of free parameters (carrier densities and mobilities are fixed from the QO frequencies, m*, and Dingle temperatures reported in the supplementary information, with only a global scaling factor per temperature allowed), (ii) the number of data points in the ρ_xy(B) isotherms, and (iii) the reduced χ² of the multi-band Drude fit. We will also perform and report a nested-model comparison in which a single, temperature-independent σ_AHE term is added; the resulting Δχ² and associated p-value (or F-test) will be shown to demonstrate that the improvement is statistically insignificant. These additions will be placed in a new subsection of the Hall analysis and in an expanded supplementary note, directly addressing the concern that scattering-rate variations could mask a small AHE contribution. revision: yes

Circularity Check

0 steps flagged

No circularity; experimental claims rest on independent QO-calibrated multi-band fits tested against separate Hall data

full rationale

The paper is entirely experimental. Carrier densities and mobilities are extracted from quantum oscillation frequencies, masses and Dingle temperatures; these fixed parameters are then used to compute the expected multi-band Hall resistivity, which is compared to measured ρ_xy(B,T) across RRR and doping series. This is a standard cross-check between two independent transport probes rather than any derivation that reduces to its own inputs by construction. No self-definitional equations, fitted-input-called-prediction steps, or load-bearing self-citations appear in the central claims. The conclusion that the data are inconsistent with intrinsic AHE follows directly from the mismatch between the QO-constrained model and the measured Hall curves.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The central claim rests on experimental measurements of resistivity, Hall effect, elastoresistivity, and quantum oscillations in high-RRR crystals. No free parameters, ad-hoc axioms, or invented entities are introduced in the abstract; conclusions rely on standard condensed-matter transport assumptions.

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