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arxiv: 2606.29249 · v1 · pith:OAI3CSRTnew · submitted 2026-06-28 · ❄️ cond-mat.supr-con · cond-mat.str-el

40 years of cuprate high-Tc superconductors: a perspective on theories

Navinder Singh Bathinda This is my paper

Pith reviewed 2026-06-30 02:15 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.str-el
keywords high-Tc cupratessuperconductivity mechanismrepulsive interactionsAnderson dogmassuper-exchangetheoretical perspectivescuprate superconductors
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The pith

Superconductivity in cuprates can arise from repulsive interactions between electrons.

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

This review surveys theoretical ideas for the mechanism of high-temperature superconductivity in cuprate materials after four decades of research. It argues that the notion of superconductivity emerging from repulsive electron interactions has gained traction since a 2015 consensus paper. Three primary schools of thought are outlined, a 2022 experimental finding on the super-exchange mechanism is highlighted, and an updated list of Anderson's dogmas based on post-2000 experimental facts is provided. These elements aim to distill the key constraints that any successful theory must satisfy.

Core claim

The paper presents the view that superconductivity from repulsive interactions is the leading idea, supported by three schools of thought, confirmation via 2022 experiment of Anderson's super-exchange, and an updated set of universal experimental facts known as Anderson's dogmas.

What carries the argument

Anderson's dogmas, which are universal facts distilled from experiments, together with the three schools of thought on how repulsive interactions produce superconductivity.

Load-bearing premise

The author's selection of three schools of thought, the 2022 result, and the post-2000 facts used to update the dogmas list provide a representative and unbiased account of the theoretical situation.

What would settle it

An experiment showing that cuprate superconductivity requires net attractive interactions or directly contradicting one of the updated dogmas would falsify the perspective.

Figures

Figures reproduced from arXiv: 2606.29249 by Navinder Singh Bathinda.

Figure 1
Figure 1. Figure 1: FIG. 1. Lev Landua and Isaak Pomeranchuk. [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Schematic interaction between two helium atoms. [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Harder tunneling if the height of the apical oxygen [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Schematic plot showing that the superconducting [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
read the original abstract

An attempt is made to give a brief but coherent account of the situation of the theoretical ideas in addressing the mechanism of superconductivity in cuprate high-Tc superconductors. Specifically, the idea of superconductivity from repulsive interactions is discussed as it is gaining ground since the `consensus' paper was written in 2015\cite{kei}. The challenges it faces is also discussed. Three main schools of thought are presented, and an experimental result of 2022 pertaining to Anderson's super-exchange mechanism is also discussed. An updated list of Anderson's ``dogmas" is also presented, as after year 2000, many other universally applicable experimental facts has been discovered. The ``dogmas" are universal facts which are distilled from a variety of complex experimental results, and highlights the key findings that seems to be central to the mechanism of superconductivity in cuprates. These are discussed as a commemoration of 40 years of high-Tc cuprate research.

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 is a perspective commemorating 40 years of cuprate high-Tc research. It offers a coherent interpretive account of theoretical ideas on the superconductivity mechanism, arguing that superconductivity from repulsive interactions has gained ground since the 2015 consensus paper, while discussing challenges. It presents three main schools of thought, a 2022 experimental result on Anderson's super-exchange mechanism, and an updated list of Anderson's 'dogmas' distilled from post-2000 experimental facts.

Significance. As a perspective, the synthesis of schools, the 2022 result, and the updated dogmas list could help frame ongoing debates for the community if the selection accurately reflects the author's distillation of key facts. The paper introduces no new derivations, data, or quantitative predictions, so its value lies in interpretive synthesis rather than novel claims. Credit is given for the explicit attempt to update Anderson's dogmas from recent universal experimental facts within the perspective format.

minor comments (2)
  1. The abstract and main text would benefit from explicit subsection headings or numbered lists when presenting the three schools of thought and the updated dogmas to improve readability and allow readers to cross-reference specific points.
  2. The citation to the 2015 consensus paper (\cite{kei}) should include the full bibliographic entry in the reference list, and any additional citations to the 2022 result or post-2000 facts should be checked for completeness.

Simulated Author's Rebuttal

0 responses · 0 unresolved

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

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper is a perspective article that summarizes existing theoretical ideas on cuprate high-Tc superconductivity, citing external works such as the 2015 consensus paper and a 2022 experimental result while presenting three schools of thought and an updated list of Anderson's dogmas distilled from post-2000 facts. It contains no original equations, derivations, quantitative predictions, or fitted parameters. All content relies on external citations without load-bearing self-citations or self-referential reductions, making the account self-contained as an interpretive overview rather than a derivation chain.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is a review paper; no free parameters, axioms, or invented entities are introduced by the authors.

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Reference graph

Works this paper leans on

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