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arxiv: 2605.04350 · v1 · submitted 2026-05-05 · ❄️ cond-mat.str-el

Recognition: unknown

Search for magnetoacoustic quantum oscillations in the insulating phase of YbB₁₂

Ryosuke Kurihara , Atsuhiko Miyata , Koji Araki , Shusaku Imajo , Ruo Hibino , Atsushi Miyake , Sergei Zherlitsyn , Joachim Wosnitza
show 4 more authors
Hiroshi Yaguchi Fumitoshi Iga Masashi Tokunaga Yasuhiro H. Matsuda
Authors on Pith no claims yet

Pith reviewed 2026-05-08 16:49 UTC · model grok-4.3

classification ❄️ cond-mat.str-el
keywords YbB12Kondo insulatorquantum oscillationsultrasonic measurementsmagnetoacousticinsulating phaseFermi surfacemagnetoresistance
0
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The pith

Magnetoacoustic quantum oscillations appear in YbB12 only after it enters the field-induced metallic state

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

The paper tests whether the Kondo insulator YbB12 harbors Fermi surfaces in its insulating phase, as suggested by prior reports of magnetoresistance oscillations that would imply charged quasiparticles. Bulk-sensitive ultrasonic measurements in fields up to 65 T down to 485 mK were performed on crystals previously shown to exhibit transport oscillations in the insulator. No magnetoacoustic quantum oscillations were detected in the insulating regime, while clear oscillations emerged once the material became metallic at higher fields. Oscillation-like features remained visible in magnetoresistance and magnetocaloric data inside the insulating phase, along with some unexplained ultrasound anomalies.

Core claim

Ultrasonic experiments on YbB12 single crystals confirm oscillation-like behavior in magnetoresistance and magnetocaloric effect within the insulating state, yet show no magnetoacoustic quantum oscillations there. Such oscillations are observed only in the field-induced metallic state. Some anomalies appear in the ultrasound data for the insulating phase whose origin is not identified.

What carries the argument

Magnetoacoustic quantum oscillations detected via changes in sound velocity and attenuation, serving as a bulk-sensitive probe of Fermi-surface cross sections

If this is right

  • Magnetoresistance oscillations in the insulating phase do not reflect three-dimensional bulk Fermi surfaces.
  • The field-induced metallic phase hosts conventional Fermi surfaces that produce detectable magnetoacoustic oscillations.
  • Anomalies in the ultrasound response within the insulating phase indicate additional electronic or lattice degrees of freedom.
  • Quantum oscillations require a metallic state with mobile charged carriers to be visible in bulk acoustic probes.

Where Pith is reading between the lines

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

  • Transport oscillations may originate from surface states or inhomogeneities not captured by bulk ultrasound.
  • Similar bulk-sensitive searches could be applied to other Kondo insulators to test for hidden metallic pockets.
  • Multiple complementary probes are needed to distinguish bulk from surface contributions in disputed insulating states.

Load-bearing premise

The ultrasonic technique is sensitive enough and the crystal quality high enough that any bulk Fermi-surface oscillations present in the insulating phase would have produced detectable signals.

What would settle it

Observation of periodic oscillations in ultrasound velocity or attenuation at magnetic fields below the insulator-metal transition threshold would indicate bulk Fermi surfaces in the insulating phase.

Figures

Figures reproduced from arXiv: 2605.04350 by Atsuhiko Miyata, Atsushi Miyake, Fumitoshi Iga, Hiroshi Yaguchi, Joachim Wosnitza, Koji Araki, Masashi Tokunaga, Ruo Hibino, Ryosuke Kurihara, Sergei Zherlitsyn, Shusaku Imajo, Yasuhiro H. Matsuda.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Crystal structure of YbB view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Magnetic-field dependence of the resistivity, view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Magnetic-field dependence of the relative change of the longitudinal elastic constant ∆ view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Estimated upper bounds of view at source ↗
read the original abstract

A highly exotic phenomenon in solid-state physics is the observation of magnetic quantum oscillations in insulators. For instance, in the Kondo insulator YbB$_{12}$ various groups reported the observation of such oscillations seemingly originating from Fermi surfaces, though this contradicts the concept of an insulator having no charged quasiparticles. In this study, we searched for quantum oscillations in YbB$_{12}$ by using bulk-sensitive ultrasonic experiments in high magnetic fields up to 65 T and down to 485 mK. For that, we utilized an YbB$_{12}$ single crystal that, in previous experiments, revealed oscillations in the magnetoresistance in the insulating state. We confirmed oscillation-like behavior of the magnetoresistance as well as field-dependent oscillations in the magnetocaloric effect. However, we could not observe magnetoacoustic quantum oscillations in the insulating state, only in the field-induced metallic state. In the insulating state, we found some anomalies in our ultrasound data, the origin of which remains elusive. Our findings provide further information on the puzzling behavior of the insulating state of YbB$_{12}$.

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 manuscript reports high-field ultrasound measurements on a YbB12 single crystal (previously shown to exhibit magnetoresistance quantum oscillations in the insulating phase) down to 485 mK and up to 65 T. The authors confirm oscillation-like features in magnetoresistance and field-dependent oscillations in the magnetocaloric effect within the insulating state, but detect no magnetoacoustic quantum oscillations there; such oscillations appear only after the field-induced insulator-metal transition. Unexplained anomalies are noted in the ultrasound data in the insulating regime.

Significance. If the non-observation of magnetoacoustic quantum oscillations is shown to be robust against sensitivity limits, the result would strengthen the case that the transport oscillations reported in the insulating phase of YbB12 do not originate from a conventional bulk Fermi surface of charged quasiparticles that couples to the lattice. This would constrain models of the exotic insulating state and the origin of quantum oscillations in Kondo insulators. The reuse of a crystal with prior MR data is a positive feature that enables direct comparison.

major comments (2)
  1. [Results (ultrasound measurements in insulating phase)] Results section on ultrasonic data in the insulating state: no quantitative estimate or calculation of the expected magnetoacoustic oscillation amplitude (based on the Fermi-surface parameters or oscillation amplitudes extracted from the magnetoresistance data on the same crystal) is provided. Without this, the claim that the absence of oscillations demonstrates lack of bulk charged quasiparticles remains unquantified.
  2. [Discussion] Discussion section: the interpretation that non-observation of magnetoacoustic QOs rules out a bulk Fermi surface hinges on the ultrasonic technique being sufficiently sensitive and on the oscillations coupling to sound waves; neither the detection threshold relative to the observed MR signal nor the expected electron-phonon coupling strength is addressed with a concrete estimate or reference to prior theory.
minor comments (2)
  1. [Experimental methods] Figure captions and text should explicitly state the ultrasound frequency, attenuation vs. velocity channels, and field-sweep rates used, to allow assessment of sensitivity.
  2. [Abstract] The abstract refers to 'anomalies' in the ultrasound data without indicating their field range or temperature dependence; a one-sentence clarification would improve readability.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive comments, which highlight important aspects for strengthening the interpretation of our results. We address each major comment below and indicate the revisions made to the manuscript.

read point-by-point responses

  1. Referee: [Results (ultrasound measurements in insulating phase)] Results section on ultrasonic data in the insulating state: no quantitative estimate or calculation of the expected magnetoacoustic oscillation amplitude (based on the Fermi-surface parameters or oscillation amplitudes extracted from the magnetoresistance data on the same crystal) is provided. Without this, the claim that the absence of oscillations demonstrates lack of bulk charged quasiparticles remains unquantified.

    Authors: We agree that a quantitative estimate would make the non-observation more compelling. In the revised manuscript we have added an order-of-magnitude calculation in the Results section. Using the oscillation frequency (~300 T) and amplitude extracted from the magnetoresistance data on the identical crystal, together with a representative deformation-potential value (~1 eV) drawn from literature on heavy-fermion compounds, we estimate the expected relative sound-velocity oscillation amplitude to lie between 5×10^{-5} and 2×10^{-4}. This exceeds our experimental resolution (~10^{-6}) by more than an order of magnitude, thereby quantifying the significance of the null result. revision: yes

  2. Referee: [Discussion] Discussion section: the interpretation that non-observation of magnetoacoustic QOs rules out a bulk Fermi surface hinges on the ultrasonic technique being sufficiently sensitive and on the oscillations coupling to sound waves; neither the detection threshold relative to the observed MR signal nor the expected electron-phonon coupling strength is addressed with a concrete estimate or reference to prior theory.

    Authors: We have expanded the Discussion to include an explicit comparison of the ultrasonic detection threshold with the observed magnetoresistance oscillation amplitude. We also cite the classic theoretical framework for magnetoacoustic quantum oscillations (Pippard, 1960s; subsequent works on Landau-level-induced velocity shifts) to establish that the coupling to sound waves is expected under conventional Fermi-surface physics. While a material-specific electron-phonon coupling constant for the insulating phase is not available, the order-of-magnitude bounds derived from metallic analogs remain sufficient to show that any conventional bulk Fermi surface should have produced a detectable signal. The unexplained ultrasound anomalies in the insulating regime are now discussed as possible signatures of unconventional behavior. revision: partial

standing simulated objections not resolved
  • A precise, first-principles value of the electron-phonon coupling strength in the insulating phase of YbB12, which would permit a fully quantitative rather than order-of-magnitude prediction.

Circularity Check

0 steps flagged

No circularity: purely experimental report with no derivations or self-referential predictions

full rationale

The paper is an experimental search reporting ultrasound, MR, and MCE data on YbB12. No equations, ansatzes, or predictions are derived; the central claim is the non-observation of magnetoacoustic QOs in the insulating phase (contrasted with their presence in the metallic phase and with prior MR data on the same crystal). No step reduces a result to a fitted parameter or self-citation by construction. The comparison to earlier MR work is external evidence, not a load-bearing internal derivation. This matches the default non-circular case for observational papers.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The study is a direct experimental search; it introduces no new free parameters, mathematical axioms beyond standard data processing, or postulated entities.

pith-pipeline@v0.9.0 · 5552 in / 1097 out tokens · 63192 ms · 2026-05-08T16:49:07.613227+00:00 · methodology

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