arxiv: 2604.23162 · v1 · submitted 2026-04-25 · ❄️ cond-mat.supr-con · cond-mat.str-el

Recognition: unknown

Persistent Fermi Pockets and Robust Electron Pairing in Lightly Doped CuO₂ Planes of Cuprate Superconductors

Bo Liang, Chaohui Yin, Chengtian Lin, Fengfeng Zhang, Feng Yang, Guodong Liu, Hanqing Mao, Hao Chen, Jiuxiang Zhang, Jumin Shi, Lin Zhao, Neng Cai, Qinjun Peng, Shenjin Zhang, Taimin Miao, Tao Xiang, Wenpei Zhu, Xiangyu Luo, Xiaolin Ren, Xintong Li, X. J. Zhou, Yinghao Li, Yingjie Shu, Yiwen Chen, Zhimin Wang, Zuyan Xu

Pith reviewed 2026-05-08 06:59 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.str-el

keywords Fermi pocketscuprate superconductorslightly dopedelectron pairingantiferromagnetic orderMott insulatorARPESmultilayer cuprates

0 comments

The pith

Lightly doped cuprate planes host well-defined Fermi pockets and anisotropic superconducting gaps up to 33 meV at doping levels of 0.007.

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

The paper examines the electronic structure inside multilayer cuprates by using high-resolution laser ARPES on the inner CuO2 planes that sit away from surface disorder. It establishes that clear Fermi pockets form at hole doping as low as 0.007, showing that the parent Mott insulator turns metallic with only an infinitesimal amount of added carriers. The innermost planes remain gapless while the next layer inward develops large anisotropic gaps reaching 33 meV, indicating that electron pairing stays strong even when antiferromagnetic order is still prominent. A reader would care because these results revise the standard picture in which doping gradually fills a Mott gap before superconductivity appears.

Core claim

Using spatially resolved laser angle-resolved photoemission spectroscopy on the inner CuO2 planes of Bi2Sr2Ca_{n-1}Cu_n O_{2n+4+δ} (n=5 to 8), which are shielded from disorder, we observe well-defined Fermi pockets at hole doping levels as low as 0.007. This demonstrates an abrupt transition from the parent Mott insulator to a metallic state upon introduction of an infinitesimal amount of doping. The innermost planes display gapless Fermi pockets while the second innermost planes show anisotropic superconducting gaps up to approximately 33 meV, indicating robust electron pairing that coexists with strong antiferromagnetic order.

What carries the argument

The inner CuO2 planes in multilayer cuprates, shielded from disorder and accessed by high-resolution laser ARPES, which serve as a clean platform for mapping intrinsic doping evolution and gap structures.

Load-bearing premise

The inner planes are effectively shielded from disorder and the observed gaps are superconducting rather than arising from competing orders.

What would settle it

Independent ARPES or tunneling measurements on samples with doping confirmed at 0.007 that show either no closed Fermi pockets or gaps that do not close at the known superconducting transition temperature would falsify the central observations.

Figures

Figures reproduced from arXiv: 2604.23162 by Bo Liang, Chaohui Yin, Chengtian Lin, Fengfeng Zhang, Feng Yang, Guodong Liu, Hanqing Mao, Hao Chen, Jiuxiang Zhang, Jumin Shi, Lin Zhao, Neng Cai, Qinjun Peng, Shenjin Zhang, Taimin Miao, Tao Xiang, Wenpei Zhu, Xiangyu Luo, Xiaolin Ren, Xintong Li, X. J. Zhou, Yinghao Li, Yingjie Shu, Yiwen Chen, Zhimin Wang, Zuyan Xu.

**Figure 1.** Figure 1: FIG. 1 view at source ↗

**Figure 2.** Figure 2: FIG. 2 view at source ↗

**Figure 3.** Figure 3: FIG. 3 view at source ↗

**Figure 4.** Figure 4: FIG. 4 view at source ↗

read the original abstract

High temperature superconductivity in cuprate superconductors is generally considered to be generated from doping the Mott insulators. The fundamental nature of the doped parent compounds as well as the microscopic origin of electron pairing remain critical issues in understanding the emergence of superconductivity. Here, using high-resolution spatially-resolved laser angle-resolved photoemission spectroscopy, we investigate the intrinsic electronic structures of the CuO$_2$ planes in multilayer cuprates Bi$_2$Sr$_2$Ca$_{n-1}$Cu$_n$O$_{2n+4+\delta}$ (n=5$\sim$8). The inner CuO$_2$ planes are well shielded from the disorders and provide a rare and ideal platform to probe the intrinsic electronic phase diagram. We observe well-defined Fermi pockets with hole doping levels as low as 0.007, demonstrating an abrupt transition from the parent Mott insulator to a metallic state upon the introduction of an infinitesimal amount of doping. The innermost CuO$_2$ planes (IP$_0$) display gapless Fermi pockets, while the second innermost planes (IP$_1$) exhibit anisotropic superconducting gaps up to $\sim$33$\,$meV, indicative of robust electron pairing coexisting with strong antiferromagnetic order. Our findings provide a revised framework for understanding the doping-driven transitions and pairing mechanisms in cuprate superconductors.

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.

Desk Editor's Note private letter to a colleague

New ARPES spectra show Fermi pockets at doping 0.007 in shielded inner planes of multilayer cuprates, but the 33 meV anisotropic gap assignment to superconductivity needs more distinguishing evidence.

read the letter

The main point is that this work uses spatially resolved laser ARPES on n=5-8 multilayer Bi-cuprates to access the inner CuO2 planes, which are protected from surface effects. They report well-defined hole-like Fermi pockets down to doping levels of 0.007, along with an anisotropic gap reaching 33 meV in the second-inner planes that they attribute to pairing even in the presence of strong antiferromagnetism. The abrupt appearance of metallic pockets with such minimal doping is the central new observation here, and it directly challenges the usual picture of a wide insulating regime near the Mott parent compound. The technical access to these inner planes via plane-selective probing is a clear experimental step that prior surface ARPES studies could not achieve as cleanly. The data add fresh spectra to the low-doping discussion in cuprates, which is useful for anyone mapping the phase diagram. The soft spot sits in the gap interpretation. At doping around 0.007 the antiferromagnetic correlations are expected to be long-ranged, so the observed anisotropy and magnitude could arise from zone folding, spin-density-wave reconstruction, or pseudogap physics rather than d-wave superconductivity. The abstract gives no temperature dependence, no coherence-peak signatures, and no explicit comparison to bulk Tc that would separate these possibilities, and the doping calibration for the inner planes appears derived from Fermi-surface area without independent cross-checks such as Hall data. These points are addressable with the full dataset but currently leave the pairing claim provisional. This paper is for condensed-matter groups working on cuprate doping evolution and ARPES in layered oxides. A reader tracking the insulator-metal transition would get concrete new spectra to weigh, though they would treat the pairing assignment as a hypothesis until the supporting checks are examined. It deserves peer review because the experimental platform and low-doping regime are worth referee attention even if the gap origin requires tightening in revision.

Referee Report

2 major / 2 minor

Summary. The manuscript reports high-resolution, spatially-resolved laser ARPES measurements on the inner CuO2 planes of multilayer cuprates Bi2Sr2Ca_{n-1}Cu_n O_{2n+4+δ} (n=5-8). Central claims include the observation of well-defined Fermi pockets at hole doping levels as low as 0.007 (abrupt Mott insulator-to-metal transition), gapless pockets in the innermost planes (IP0), and anisotropic gaps up to ~33 meV in the second-innermost planes (IP1) interpreted as superconducting gaps coexisting with strong antiferromagnetic order.

Significance. If the gap assignments and doping calibrations hold, the results would revise the low-doping cuprate phase diagram by demonstrating metallic Fermi surfaces and robust pairing in disorder-shielded planes. The inner-plane platform is a methodological strength for accessing intrinsic behavior, providing constraints on Mott transition and pairing mechanisms.

major comments (2)

[Abstract and IP1 gap discussion] Abstract and IP1 gap analysis: The assignment of the anisotropic ~33 meV gap in IP1 to superconductivity (rather than AF zone folding, SDW reconstruction, or pseudogap) is load-bearing for the 'robust electron pairing coexisting with strong AF order' claim. No temperature dependence (gap closure at bulk Tc), coherence-peak evidence, or explicit exclusion of alternatives is provided, despite long AF correlation lengths expected at p~0.007.
[Doping calibration and Fermi-pocket identification] Doping determination for inner planes: The hole doping level of 0.007 (and the 'infinitesimal doping' transition claim) relies on asserted calibration for shielded IP0/IP1. The manuscript does not detail the method (e.g., Luttinger count of Fermi-surface area accounting for possible reconstruction, or cross-checks with Hall coefficient or outer-plane data), which is required to support the central doping-driven transition narrative.

minor comments (2)

[Figures and captions] Figure captions and data presentation: Include explicit resolution values, matrix-element considerations, and labeling of IP0 vs. IP1 in all relevant ARPES maps and momentum-distribution curves to aid reproducibility.
[Notation and methods] Notation consistency: Define and relate the oxygen excess δ and hole doping p explicitly in the methods or results section; current usage risks ambiguity when comparing to literature values.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful and constructive review of our manuscript. The comments highlight important points regarding the interpretation of the IP1 gap and the doping calibration, which we address below. We have revised the manuscript to strengthen these aspects where possible.

read point-by-point responses

Referee: [Abstract and IP1 gap discussion] Abstract and IP1 gap analysis: The assignment of the anisotropic ~33 meV gap in IP1 to superconductivity (rather than AF zone folding, SDW reconstruction, or pseudogap) is load-bearing for the 'robust electron pairing coexisting with strong AF order' claim. No temperature dependence (gap closure at bulk Tc), coherence-peak evidence, or explicit exclusion of alternatives is provided, despite long AF correlation lengths expected at p~0.007.

Authors: We agree that temperature-dependent measurements closing at Tc and coherence peaks would provide the most direct confirmation of superconductivity. The current assignment rests on the gap's large magnitude (~33 meV), its clear d-wave anisotropy, its presence only in the shielded IP1 planes (while IP0 remains gapless), and consistency with the overall Fermi-pocket topology. AF zone folding or SDW reconstruction would typically produce different pocket structures or shadow bands not observed here. In the revised manuscript we will add an expanded discussion section that explicitly compares the observed gap to expected signatures of AF reconstruction and pseudogap scenarios, using the doping dependence and plane-specific shielding as supporting arguments. We will also include any available temperature-dependent ARPES cuts if they were omitted from the original submission. revision: partial
Referee: [Doping calibration and Fermi-pocket identification] Doping determination for inner planes: The hole doping level of 0.007 (and the 'infinitesimal doping' transition claim) relies on asserted calibration for shielded IP0/IP1. The manuscript does not detail the method (e.g., Luttinger count of Fermi-surface area accounting for possible reconstruction, or cross-checks with Hall coefficient or outer-plane data), which is required to support the central doping-driven transition narrative.

Authors: The doping values were obtained from the Luttinger count of the enclosed Fermi-pocket area in the inner planes, cross-referenced against the known outer-plane doping levels in the same multilayer crystals and consistent with the charge-transfer balance in the Bi2212-family structure. In the revised version we will add a dedicated subsection in the Methods and a supplementary figure that details the Fermi-surface area integration, the precise Luttinger counting procedure (including any correction for possible weak reconstruction), and the cross-checks with outer-plane data and nominal oxygen content. revision: yes

Circularity Check

0 steps flagged

No significant circularity: purely experimental observations with no derivations or predictions

full rationale

This is an experimental ARPES paper reporting direct observations of Fermi pockets at doping levels as low as 0.007 and anisotropic gaps in inner CuO2 planes. No derivation chain, first-principles calculations, fitted parameters renamed as predictions, or self-referential equations exist in the presented claims. The abstract and structure rely on measurement data and doping calibration assertions rather than any reduction of outputs to inputs by construction. Self-citations, if present in the full text, are not load-bearing for any claimed prediction or uniqueness theorem. The result is self-contained against external benchmarks of photoemission data.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on standard ARPES interpretation of momentum-space spectra as Fermi surfaces and gaps, plus the assumption that inner-plane shielding isolates intrinsic behavior; no free parameters or invented entities are introduced in the abstract.

axioms (2)

standard math ARPES measures the single-particle spectral function of the electronic bands.
Invoked implicitly when interpreting Fermi pockets and gaps from photoemission intensity.
domain assumption Inner CuO2 planes in multilayers are effectively decoupled from surface disorder.
Stated directly in the abstract as the basis for using these planes as an ideal platform.

pith-pipeline@v0.9.0 · 5645 in / 1452 out tokens · 37987 ms · 2026-05-08T06:59:01.122654+00:00 · methodology

discussion (0)

Reference graph

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