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arxiv: 1907.04695 · v1 · pith:GRZ3KPW7new · submitted 2019-07-10 · ❄️ cond-mat.supr-con

Single origin of the nodal and antinodal gaps in cuprates

Y. Noat , A. Mauger , W. Sacks This is my paper

Pith reviewed 2026-05-24 23:27 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con
keywords cupratesspectral gapd-waveARPESantiferromagneticpaironsunderdopednodal gap
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0 comments X

The pith

The deviation from d-wave symmetry in underdoped cuprate gaps arises from the spatial extension of hole pair wavefunctions set by antiferromagnetic order, implying one origin for nodal and antinodal gaps.

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

The paper argues that ARPES data showing the spectral gap in underdoped cuprates deviates from pure d-wave form because hole pairs form under local antiferromagnetic influence. These pairs extend their wavefunctions beyond nearest neighbors over the magnetic coherence length, reproducing the observed angular dependence in detail. If this holds, the nodal and antinodal gaps share a superconducting source instead of requiring separate non-superconducting explanations for the antinodal region. Readers would care as it unifies the gap structure under the material's basic magnetic pairing environment without added mechanisms.

Core claim

The measured angular dependence of the spectral gap can be explained by the basic nature of pairs in high-Tc cuprates. Hole pairs, or pairons, form as a result of the local antiferromagnetic environment on the scale ξ_AF, the magnetic coherence length. The spatial extension of the pairon wavefunction beyond first nearest neighbours gives rise to the anomalous angular dependence of the gap, in quantitative agreement with experiments. This simple interpretation strongly indicates a common origin of the nodal and antinodal gaps.

What carries the argument

The pairon wavefunction extension beyond nearest neighbors on the scale of the antiferromagnetic coherence length ξ_AF; it generates the observed deviation from pure d-wave angular dependence.

If this is right

  • Both the nodal and antinodal gaps share a superconducting origin from the same pair formation process.
  • The pairon model accounts for the full angular dependence using only the antiferromagnetic coherence length.
  • Separate pseudogap mechanisms are not required to explain the antinodal gap deviation.
  • The same wavefunction extension effect should appear across underdoped cuprate compounds.

Where Pith is reading between the lines

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

  • The model connects real-space antiferromagnetic pairing to momentum-space gap features in a way that could be checked against other spectroscopies like tunneling.
  • Varying doping to tune the coherence length should produce a predictable change in how much the gap deviates from d-wave form.
  • This suggests testing whether similar extensions appear in other short-coherence-length superconductors with local magnetic order.

Load-bearing premise

The extension of the pair wavefunction beyond nearest neighbors due to antiferromagnetic coherence length is the dominant cause of the gap's angular shape and matches data without extra parameters or mechanisms.

What would settle it

An explicit calculation restricting pairs to nearest neighbors only, or ARPES data on samples with known ξ_AF values, that fails to reproduce the measured angular gap dependence without additional fitting terms.

Figures

Figures reproduced from arXiv: 1907.04695 by A. Mauger, W. Sacks, Y. Noat.

Figure 1
Figure 1. Figure 1: (Color online) Left panel: Gap as a function of sin( [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (Color online) Angular dependence of the gap from [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: (color online) a) Illustration of an hole pair in its an [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
read the original abstract

Recent angle-resolved photoemission electron spectroscopy (ARPES) experiments demonstrate that the momentum dependence of the spectral gap in underdoped cuprates does not follow a pure $d$-wave form [H. Anzai et a., Nat. Comm. {\bf 4}, 1815 (2013)]. This deviation is highly controversial. It has often been interpretated as a proof of the non-superconducting origin of the antinodal gap in the underdoped regime. In this article, we show that the measured angular dependence of the spectral gap can be explained by the basic nature of pairs in high-T$_c$ cuprates. Hole pairs, or {\it pairons}, form as a result of the local antiferromagnetic environment on the scale $\xi_{AF}$, the magnetic coherence length. The spatial extension of the pairon wavefunction beyond first nearest neighbours gives rise to the anomalous angular dependence of the gap, in quantitative agreement with experiments. This simple interpretation strongly indicates a common origin of the nodal and antinodal gaps.

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

0 major / 2 minor

Summary. The manuscript claims that the deviation from pure d-wave angular dependence in the ARPES-measured spectral gap of underdoped cuprates (Anzai et al., Nat. Comm. 4, 1815 (2013)) arises from the spatial extension of hole-pair (pairon) wavefunctions beyond nearest neighbors. These pairons form due to the local antiferromagnetic environment on the scale of the magnetic coherence length ξ_AF; the resulting wavefunction extension produces the observed non-d-wave form in quantitative agreement with experiment and implies a common superconducting origin for nodal and antinodal gaps.

Significance. If the claimed quantitative agreement holds without post-hoc parameter adjustment, the work supplies a parsimonious, mechanism-based account that unifies the two gaps under local AF correlations. This would weaken interpretations that treat the antinodal gap as a distinct non-SC pseudogap feature and would highlight the predictive power of pairon models tied to independently measurable lengths such as ξ_AF.

minor comments (2)
  1. The abstract asserts 'quantitative agreement with experiments' but the main text should include an explicit comparison (e.g., a figure or table) showing the calculated angular gap versus the Anzai et al. data points, together with the precise functional form of the pairon wavefunction and the numerical value of ξ_AF employed.
  2. Clarify in the methods or theory section how ξ_AF is fixed independently of the gap data (e.g., from neutron scattering or other measurements) rather than inferred from the ARPES angular form itself.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our work and the recommendation for minor revision. No specific major comments were raised in the report.

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained

full rationale

The paper advances a physical model in which hole pairs (pairons) form due to the local antiferromagnetic environment on scale ξ_AF, with the pairon wavefunction's spatial extension beyond nearest neighbors producing the observed deviation from pure d-wave angular dependence of the gap. This is presented as yielding quantitative agreement with ARPES data and implying a common origin for nodal and antinodal gaps. No quoted equations or steps in the abstract or description reduce the claimed result to a fitted parameter renamed as prediction, a self-definitional relation, or a load-bearing self-citation chain. The model supplies an independent mechanistic interpretation rather than tautologically reproducing its inputs. The central claim therefore remains non-circular on the available text.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only; the central claim rests on the unstated assumption that pairons form with a wavefunction whose range is set by ξ_AF and that this range alone produces the observed gap anisotropy. No free parameters, axioms, or invented entities can be enumerated from the abstract.

pith-pipeline@v0.9.0 · 5714 in / 1223 out tokens · 18497 ms · 2026-05-24T23:27:48.087068+00:00 · methodology

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Reference graph

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