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arxiv: 2604.02481 · v1 · submitted 2026-04-02 · ❄️ cond-mat.str-el · cond-mat.supr-con

Recognition: 2 theorem links

· Lean Theorem

Superconductivity and fractionalized magnetic excitations in CeCoIn5

Pyeongjae Park , Shang-Shun Zhang , Pietro M. Bonetti , Andrey A. Podlesnyak , Daniel M. Pajerowski , Matthew B. Stone , C. Petrovic , C. Stock
show 3 more authors
Subir Sachdev Cristian D. Batista Andrew D. Christianson
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Pith reviewed 2026-05-13 20:29 UTC · model grok-4.3

classification ❄️ cond-mat.str-el cond-mat.supr-con
keywords superconductivityCeCoIn5inelastic neutron scatteringfractionalized excitationsKondo latticed-wave pairinggauge dynamicsquantum critical point
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0 comments X

The pith

A Kondo-lattice model near an FL* state reproduces the spin continuum above Tc and the resonance below Tc in CeCoIn5 through shared gauge dynamics.

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

The paper tests whether CeCoIn5 sits near a quantum critical point where localized 4f moments fractionalize into fermionic spinons. Inelastic neutron scattering shows a structured spin excitation continuum that persists in the normal state along with a resonance that appears only below Tc. A theoretical Kondo-lattice framework that includes proximity to an FL* phase and d-wave pairing accounts for the momentum and temperature dependence of both features. The analysis indicates that the quasi-localized character of the f-moments above Tc and the resonance below Tc originate from the same gauge dynamics. This supplies a single organizing principle that connects spin fractionalization to unconventional superconductivity in the material.

Core claim

The central claim is that a Kondo-lattice framework incorporating proximity to FL* physics and d-wave pairing reproduces key features of the inelastic neutron scattering spectra across the superconducting transition, implying that both the quasi-localized nature of the f-moments above Tc and the resonance below Tc arise from common underlying gauge dynamics.

What carries the argument

Kondo-lattice framework with proximity to FL* physics and d-wave pairing, which generates the normal-state spinon continuum and the superconducting resonance through shared gauge dynamics.

If this is right

  • The resonance below Tc is a direct consequence of the same gauge dynamics that fractionalize the f-moments above Tc.
  • The model reconciles the apparent shortfall in Fermi-surface volume relative to the Luttinger count in the normal state.
  • Quantum-critical fluctuations promote both the fractionalization and the d-wave pairing in a single framework.
  • The temperature and momentum dependence of the resonance is fixed by the underlying gauge structure rather than by conventional spin-wave or particle-hole excitations.

Where Pith is reading between the lines

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

  • Similar fractionalized continua may appear in other heavy-fermion d-wave superconductors near quantum critical points.
  • Thermodynamic or transport measurements above Tc could test for spinon-like contributions to entropy or resistivity.
  • The gauge coupling strength inferred from the CeCoIn5 data could be used to predict resonance energies in related compounds.

Load-bearing premise

The structured spin excitation continuum in the normal state is produced by fractionalized fermionic spinons rather than conventional magnons or other collective modes.

What would settle it

If the normal-state continuum were shown to disperse like conventional magnons or if its spectral weight could be accounted for without fractionalized spinons, the unifying gauge-dynamics interpretation would fail.

Figures

Figures reproduced from arXiv: 2604.02481 by Andrew D. Christianson, Andrey A. Podlesnyak, C. Petrovic, Cristian D. Batista, C. Stock, Daniel M. Pajerowski, Matthew B. Stone, Pietro M. Bonetti, Pyeongjae Park, Shang-Shun Zhang, Subir Sachdev.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] 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_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
read the original abstract

Recent experiments on CeCoIn5 -- a prototypical d-wave superconductor -- indicate that its normal state lies near an unconventional quantum critical point (QCP). One intriguing hypothesis is that quantum-critical fluctuations promote fractionalization of localized 4f moments into fermionic spinons. This fractionalized Fermi liquid (FL*) scenario provides a comprehensive framework for the unconventional QCP and superconductivity, and can reconcile a "missing" Fermi-surface volume relative to the Luttinger count in the normal state of CeCoIn5. To test this possibility, we performed inelastic neutron scattering (INS) measurements on CeCoIn5 across the superconducting transition and corresponding theoretical analysis. Our high-precision spectra reveal detailed momentum and temperature dependence of the spin resonance and a structured spin excitation continuum persisting even in the normal state, placing stringent constraints on the physical picture of pairing in a d-wave superconductor. We show that a Kondo-lattice framework incorporating proximity to FL* physics and d-wave pairing reproduces key features of the data. The model suggests that both the quasi-localized nature of the f-moments above Tc and the resonance below Tc arise from common underlying gauge dynamics, implying a unifying organizing principle linking spin fractionalization and unconventional superconductivity in strongly 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 manuscript reports high-precision inelastic neutron scattering measurements on CeCoIn5 across the superconducting transition, revealing a spin resonance below Tc and a structured spin excitation continuum persisting in the normal state. A Kondo-lattice model incorporating proximity to an FL* state and d-wave pairing is shown to reproduce key momentum- and temperature-dependent features of the spectra. The authors conclude that both the quasi-localized f-moments above Tc and the resonance below Tc arise from common underlying gauge dynamics, providing a unifying framework for fractionalization and unconventional superconductivity.

Significance. If the interpretation holds, the work supplies stringent experimental constraints on models of the unconventional QCP in a prototypical d-wave heavy-fermion superconductor and offers a concrete realization of FL* physics that reconciles the missing Fermi-surface volume with the observed magnetic excitations. The high-precision INS data and the model's ability to capture both the resonance and the normal-state continuum structure constitute a notable advance in linking spin fractionalization to pairing in Kondo lattices.

major comments (2)
  1. [Theoretical modeling and comparison to INS data] The central claim that the structured normal-state continuum signals fractionalized fermionic spinons (rather than conventional collective modes) is load-bearing for the unifying gauge-dynamics interpretation, yet the manuscript provides no explicit comparison of the data to a baseline RPA spin susceptibility calculated on the same lattice without fractionalization or gauge fields. This omission leaves open whether the observed structure is incompatible with non-fractionalized excitations.
  2. [Model parameters and fit procedure] The FL* proximity parameter and gauge coupling strength are adjusted to reproduce both the resonance position and the continuum shape; the manuscript does not report an independent constraint or falsification test (e.g., prediction of a quantity not used in the fit) that would establish the fractionalization interpretation beyond parameter tuning.
minor comments (2)
  1. [Figures] Figure captions should explicitly state the energy and momentum resolution of the INS data and the temperature at which each panel was acquired.
  2. [Theoretical framework] Notation for the spinon dispersion and gauge coupling should be defined once in the main text rather than only in the supplementary material.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address the major points below and will revise the manuscript to incorporate the suggested comparisons and clarifications.

read point-by-point responses

  1. Referee: The central claim that the structured normal-state continuum signals fractionalized fermionic spinons (rather than conventional collective modes) is load-bearing for the unifying gauge-dynamics interpretation, yet the manuscript provides no explicit comparison of the data to a baseline RPA spin susceptibility calculated on the same lattice without fractionalization or gauge fields. This omission leaves open whether the observed structure is incompatible with non-fractionalized excitations.

    Authors: We agree that an explicit comparison to a conventional RPA calculation on the same lattice would strengthen the argument. In the revised manuscript we will add such a baseline RPA spin susceptibility computed without gauge fields or FL* proximity. This comparison will show that the RPA fails to reproduce the momentum- and temperature-dependent structure of the normal-state continuum, thereby supporting the necessity of the fractionalized description. revision: yes

  2. Referee: The FL* proximity parameter and gauge coupling strength are adjusted to reproduce both the resonance position and the continuum shape; the manuscript does not report an independent constraint or falsification test (e.g., prediction of a quantity not used in the fit) that would establish the fractionalization interpretation beyond parameter tuning.

    Authors: The model parameters are chosen to match the INS spectra but are also anchored by the microscopic FL* framework and by independent experimental constraints on CeCoIn5 (Fermi-surface volume, d-wave gap symmetry). In the revision we will add a dedicated paragraph highlighting independent predictions of the model, such as the detailed temperature dependence of the continuum above Tc and the lineshape at additional momentum transfers not used in the fit. These predictions can serve as falsification tests. revision: partial

Circularity Check

0 steps flagged

No significant circularity detected in derivation chain

full rationale

The paper reports new high-precision INS spectra across Tc and applies a Kondo-lattice model that incorporates proximity to FL* physics plus d-wave pairing. The model is shown to reproduce key momentum and temperature dependence of the resonance and normal-state continuum. No equation or step is presented in which a target observable is defined in terms of itself, a parameter is fitted to one spectral feature and then relabeled as an independent prediction of the same feature, or a uniqueness theorem is imported solely via self-citation to forbid alternatives. The reproduction functions as a consistency demonstration of an externally motivated framework against fresh data rather than a closed loop that reduces the central claim to its own inputs by construction.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 1 invented entities

The central claim rests on the FL* scenario as an organizing principle, the assumption that the normal-state continuum arises from spinon excitations, and a Kondo-lattice model whose parameters are tuned to data. No machine-checked proofs or independent falsifiable predictions outside the fit are supplied.

free parameters (2)
  • FL* proximity parameter
    A parameter controlling how close the system is to the fractionalized Fermi liquid state, adjusted to match the observed continuum and resonance.
  • gauge coupling strength
    Strength of the gauge dynamics invoked to unify the normal-state moments and superconducting resonance.
axioms (2)
  • domain assumption The normal-state spin excitations are fermionic spinons rather than bosonic magnons.
    Invoked to interpret the structured continuum as evidence for FL* physics.
  • standard math d-wave pairing symmetry is assumed from prior literature on CeCoIn5.
    Standard assumption for this material but required for the model.
invented entities (1)
  • fractionalized spinons in FL* state no independent evidence
    purpose: To explain the missing Fermi-surface volume and the normal-state continuum.
    Postulated to reconcile Luttinger count violation; no independent collider or thermodynamic signature is provided in the abstract.

pith-pipeline@v0.9.0 · 5572 in / 1585 out tokens · 35100 ms · 2026-05-13T20:29:43.325403+00:00 · methodology

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Reference graph

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