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arxiv: 2605.13573 · v1 · submitted 2026-05-13 · ❄️ cond-mat.supr-con · cond-mat.str-el

Recognition: unknown

Singular spin fluctuations in the strange-metal phase of La2-xSrxCuO4

B. Costarella , L. Soriano , I. Vinograd , H. Mayaffre , S. Li , J. Yang , J. Luo , R. Zhou
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J. Yao G. Gu Q. Li J. M. Tranquada M.-H. Julien
Authors on Pith no claims yet

Pith reviewed 2026-05-14 18:20 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.str-el
keywords cuprate superconductorsstrange metal phasespin fluctuationsquantum criticalityNMR spectroscopyLa2-xSrxCuO4overdoped regimeelectronic inhomogeneity
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The pith

Low-energy spin susceptibility in overdoped La2-xSrxCuO4 rises continuously to the lowest temperatures, indicating quantum-critical fluctuations beyond the stripe critical doping.

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

The authors apply high magnetic fields to suppress superconductivity and employ an NMR protocol that accounts for electronic inhomogeneity. At x=0.25, well into the strange-metal regime, they observe that the low-energy dynamical spin susceptibility increases steadily as temperature falls. This temperature dependence resembles the signature of quantum-critical fluctuations, a leading candidate for explaining strange-metal transport properties. The measurements also detect spatial inhomogeneity in the spin dynamics, which the authors propose allows these fluctuations to persist past the spin-stripe critical doping level of x=0.19 through nanoscale variations in local electronic state.

Core claim

High-field NMR measurements show that the low-energy limit of the dynamical spin susceptibility χ''(q,ω) at x=0.25 increases continuously down to the lowest temperatures. This occurs well beyond the spin-stripe critical doping x=0.19 and is interpreted as evidence for quantum-critical fluctuations. The spin dynamics are spatially inhomogeneous, suggesting that nanoscale electronic inhomogeneity permits the fluctuations to survive in the strange-metal phase.

What carries the argument

The low-energy dynamical spin susceptibility χ''(q,ω) obtained from NMR relaxation rates under high magnetic fields that suppress superconductivity, with explicit accounting for spatial inhomogeneity.

If this is right

  • Quantum-critical spin fluctuations may drive the strange-metal transport observed in the overdoped regime.
  • Nanoscale electronic inhomogeneity can sustain critical fluctuations beyond the uniform critical doping level for spin-stripe order.
  • The electronic normal state in overdoped cuprates retains proximity to a quantum critical point through local variations in doping.

Where Pith is reading between the lines

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

  • If inhomogeneity is essential, samples with reduced disorder might exhibit a sharper cutoff in fluctuations near x=0.19.
  • Applying the same NMR protocol to other cuprate families could test whether quantum-critical spin fluctuations are a universal feature of their strange-metal phases.
  • Local spectroscopic probes could map correlations between nanoscale doping variations and the strength of the observed spin response.

Load-bearing premise

The continuous increase of the low-energy spin susceptibility down to the lowest temperatures directly signals quantum-critical fluctuations rather than other mechanisms, and the observed spatial inhomogeneity fully accounts for the persistence past the stripe critical doping.

What would settle it

Observing a saturation or downturn in the low-energy dynamical spin susceptibility at temperatures below those reached in the experiment would contradict the claim of a continuous increase indicative of quantum criticality.

Figures

Figures reproduced from arXiv: 2605.13573 by B. Costarella, G. Gu, H. Mayaffre, I. Vinograd, J. Luo, J. M. Tranquada, J. Yang, J. Yao, L. Soriano, M.-H. Julien, Q. Li, R. Zhou, S. Li.

Figure 1
Figure 1. Figure 1: FIG. 1. Evidence of singular behavior and spatial inhomo [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_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. Effect of fast, inhomogeneous [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Various fits, all of comparable quality, to the temperature dependence of [PITH_FULL_IMAGE:figures/full_fig_p010_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 ↗
read the original abstract

Although spin fluctuations are central to the physics of high-Tc cuprates, their relevance to strange-metal behavior in the overdoped regime remains unclear. Here, we use high magnetic fields to suppress superconductivity and an NMR protocol tailored to electronic inhomogeneity to show that the low-energy limit of the dynamical spin susceptibility \chi''(q,omega) at x=0.25 in La2-xSrxCuO4 increases continuously down to our lowest temperatures. This behavior is suggestive of quantum-critical fluctuations, a leading candidate mechanism for strange-metal transport, yet is observed well beyond the spin-stripe critical doping x=0.19. Our data further reveal that the spin dynamics are spatially inhomogeneous, suggesting that nanoscale electronic inhomogeneity may underlie this apparent paradox. These observations provide new insight into the electronic state from which strange-metal behavior emerges.

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.

Circularity Check

0 steps flagged

No circularity: direct experimental NMR data with no self-referential derivation

full rationale

The manuscript reports raw NMR measurements of the low-energy dynamical spin susceptibility χ''(q,ω) in La2-xSrxCuO4 at x=0.25 under high fields, showing a continuous increase down to base temperature. No equations, model fits, or predictions are derived from the data in a way that reduces them back to the inputs by construction; the temperature dependence is an observed quantity, not a fitted parameter renamed as a result. Self-citations, if present, are not load-bearing for the central experimental claim, and the interpretation as quantum-critical fluctuations is presented as suggestive rather than mathematically forced. The work is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the standard condensed-matter assumption that NMR relaxation rates map quantitatively to the imaginary part of the dynamical spin susceptibility χ''(q,ω) at low energy; no free parameters or new entities are introduced in the abstract.

axioms (1)
  • domain assumption NMR relaxation rates probe the low-energy dynamical spin susceptibility χ''(q,ω)
    This is the standard mapping used in cuprate NMR studies and is invoked to interpret the temperature dependence as singular fluctuations.

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