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arxiv: 2512.21869 · v2 · submitted 2025-12-26 · ❄️ cond-mat.str-el · cond-mat.supr-con

Theoretical perspectives on charge dynamics in high-temperature cuprate superconductors

Hiroyuki Yamase This is my paper

Pith reviewed 2026-05-16 20:04 UTC · model grok-4.3

classification ❄️ cond-mat.str-el cond-mat.supr-con
keywords cuprate superconductorscharge dynamicsplasmonsRIXSbond-charge ordert-J modellayered structure
0
0 comments X

The pith

Doped charges in cuprates form low-energy acousticlike plasmons that are universal across doping types.

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

The paper establishes that doped carriers in high-temperature cuprate superconductors display rich collective behaviors due to strong correlations, layered structure, and long-range Coulomb interactions. Quantitative modeling with the t-J-V model shows acousticlike plasmons appearing near in-plane momentum zero with energies well below the optical plasmon, a feature common to both hole- and electron-doped systems including multilayers. In electron-doped cuprates, this coexists with a tendency for d-wave bond-charge order, resulting in dual low- and high-energy charge dynamics. For hole-doped systems, similar charge-order signatures appear but resist simple explanation by the same framework, leading to discussion of a unifying scenario based on universal carrier behavior.

Core claim

The emergence of acousticlike plasmons near q=(0,0) with characteristic energies far below the ~1 eV optical plasmon has been established through t-J-V model analyses of RIXS spectra, and this behavior is universal across hole- and electron-doped cuprates including multilayer systems. In electron-doped cuprates, a pronounced d-wave bond-charge order tendency develops near q=(0.5pi, 0), giving charge dynamics a dual structure of low-energy bond-charge excitations coexisting with higher-energy plasmons. Analogous charge-order tendencies in hole-doped cuprates are reported but not fully accounted for by the d-wave bond-charge-order framework.

What carries the argument

The t-J-V model, an extension of the t-J model incorporating layered crystal structure and long-range Coulomb interaction V, used to quantitatively analyze RIXS spectra.

If this is right

  • Acousticlike plasmons near zero momentum are a universal feature in both doping types.
  • Electron-doped cuprates exhibit dual charge dynamics from bond-charge order and plasmons.
  • Charge-order tendencies in hole-doped cuprates require a different theoretical approach or modification.
  • A scenario assuming universal mobile carrier behavior may reconcile observations across systems.

Where Pith is reading between the lines

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

  • If carrier behavior is indeed universal, this could unify understanding of charge dynamics in all cuprates and link to superconductivity mechanisms.
  • Further RIXS studies on multilayer systems could test the predicted universality of acoustic plasmons.
  • Exploring why d-wave bond-charge order fits electron but not hole doping might reveal doping-asymmetric effects from correlations.

Load-bearing premise

That mobile carriers behave in a largely universal manner across electron- and hole-doped systems.

What would settle it

A RIXS measurement in a cuprate sample showing no acousticlike plasmons near q=(0,0) or energies not matching t-J-V predictions would challenge the universality claim.

Figures

Figures reproduced from arXiv: 2512.21869 by Hiroyuki Yamase.

Figure 1
Figure 1. Figure 1: FIG. 1. Spectral weight of the density-density correlation [PITH_FULL_IMAGE:figures/full_fig_p008_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Spectral weight maps of the bond-charge susceptibil [PITH_FULL_IMAGE:figures/full_fig_p009_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Map of charge excitations around the zone center i [PITH_FULL_IMAGE:figures/full_fig_p011_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) In-plane dispersion of plasmons along the [PITH_FULL_IMAGE:figures/full_fig_p013_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p015_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Doping dependence of the damping parameter Γ (solid l [PITH_FULL_IMAGE:figures/full_fig_p016_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Peak intensity of [PITH_FULL_IMAGE:figures/full_fig_p017_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. (a) [PITH_FULL_IMAGE:figures/full_fig_p018_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. Doping dependence of wavevector of charge and spin or [PITH_FULL_IMAGE:figures/full_fig_p021_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10 [PITH_FULL_IMAGE:figures/full_fig_p022_10.png] view at source ↗
read the original abstract

We review recent theoretical progress on the charge dynamics of doped carriers in high-temperature cuprate superconductors. Advances in this field have clarified that doped charges in cuprates exhibit remarkably rich collective behavior, governed by the combined effects of strong electronic correlations, the intrinsic layered crystal structure, and long-range Coulomb interaction. First, the emergence of acousticlike plasmons has been firmly established through quantitative analyses of resonant inelastic x-ray scattering (RIXS) spectra based on the t-J-V model -- an extension of the conventional t-J model that incorporates the layered crystal structure and the long-range Coulomb interaction V. These acousticlike plasmons arise near the in-plane momentum q=(0,0) and possess characteristic energies far below the well-known ~ 1 eV optical plasmon. This behavior is found to be universal across both hole- and electron-doped cuprates, including multilayer systems. Second, in electron-doped cuprates, a pronounced tendency toward d-wave bond-charge order develops near q=(0.5pi, 0), as revealed by resonant x-ray scattering (RXS) and RIXS. As a result, the charge dynamics acquires a dual structure, in which low-energy bond-charge excitations coexist with relatively high-energy plasmons. Third, analogous signatures of charge-order tendency have also been reported in hole-doped cuprates. However, a direct application of the d-wave bond-charge-order framework fails to account for experimental observations. Similarly, the charge-stripe order in La-based cuprates remains unresolved within existing theoretical approaches. Assuming that mobile carriers behave in a largely universal manner across electron- and hole-doped systems, we discuss a possible scenario that may reconcile these diverse experimental findings.

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. This review summarizes recent theoretical progress on charge dynamics in cuprate superconductors. It claims that quantitative t-J-V model analyses of RIXS spectra have firmly established the emergence of acoustic-like plasmons near q=(0,0) with energies far below the ~1 eV optical plasmon; this behavior is presented as universal across hole- and electron-doped systems, including multilayers. It further reports a pronounced d-wave bond-charge-order tendency near q=(0.5π,0) in electron-doped cuprates from RXS/RIXS data, producing dual low- and high-energy charge dynamics, while noting that direct application of the same framework fails for hole-doped systems and that La-based stripe order remains unresolved; a reconciliation scenario is proposed under the assumption that mobile carriers behave largely universally across doping types.

Significance. If the universality of acoustic plasmons and the proposed reconciliation hold, the synthesis would offer a coherent picture of how strong correlations, layered structure, and long-range Coulomb interactions V govern collective charge excitations in cuprates. The aggregation of independent RIXS/RXS datasets from multiple groups and the compilation of t-J-V results from several theoretical papers constitute a useful service to the field, potentially guiding targeted experiments on doping-dependent charge-order tendencies.

major comments (2)
  1. [Abstract] Abstract: the statement that acoustic-like plasmons have been 'firmly established through quantitative analyses' of RIXS spectra is presented without any derivations, error bars, or tabulated t-J-V parameters (t, J, V, layer spacing) in the manuscript itself, so the universality claim across hole- and electron-doped systems cannot be evaluated from the text and rests entirely on the cited works.
  2. [Discussion] Discussion of reconciliation scenario: the proposed scenario that reconciles differing charge-order observations in hole- versus electron-doped systems rests on the assumption that 'mobile carriers behave in a largely universal manner across electron- and hole-doped systems,' yet no cross-doping comparison or test is supplied showing that identical t-J-V parameters simultaneously reproduce both the acoustic plasmons near q=(0,0) and the contrasting low-energy charge-order tendencies without retuning.
minor comments (2)
  1. The manuscript would benefit from a summary table listing the specific t-J-V parameter sets employed in the cited RIXS analyses for different doping regimes and multilayer configurations.
  2. [Abstract] Momentum notation is inconsistent (q=(0,0) versus q=(0.5pi, 0)); standardize to fractions of π throughout.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the thoughtful and constructive report on our review manuscript. The comments highlight important points regarding the presentation of quantitative details and the nature of the proposed reconciliation scenario. We address each major comment below and outline revisions that will improve the clarity and self-contained nature of the manuscript.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the statement that acoustic-like plasmons have been 'firmly established through quantitative analyses' of RIXS spectra is presented without any derivations, error bars, or tabulated t-J-V parameters (t, J, V, layer spacing) in the manuscript itself, so the universality claim across hole- and electron-doped systems cannot be evaluated from the text and rests entirely on the cited works.

    Authors: We agree that, as a review summarizing progress across multiple studies, the manuscript does not reproduce full derivations or error analyses from the original works. To make the universality claim more transparent and evaluable directly from the text, we will add a new table in the revised version that compiles the key t-J-V parameters (t, J, V, and effective layer spacing) employed in the quantitative RIXS fits for representative hole-doped and electron-doped compounds, together with the corresponding references. This addition will allow readers to assess the consistency of the parameters without immediately consulting the full cited literature. revision: yes

  2. Referee: [Discussion] Discussion of reconciliation scenario: the proposed scenario that reconciles differing charge-order observations in hole- versus electron-doped systems rests on the assumption that 'mobile carriers behave in a largely universal manner across electron- and hole-doped systems,' yet no cross-doping comparison or test is supplied showing that identical t-J-V parameters simultaneously reproduce both the acoustic plasmons near q=(0,0) and the contrasting low-energy charge-order tendencies without retuning.

    Authors: The referee is correct that the reconciliation scenario is advanced as a hypothesis resting on the assumption of largely universal carrier behavior, without a single calculation demonstrating that identical t-J-V parameters can simultaneously capture both the acoustic plasmons and the doping-dependent charge-order tendencies. No such unified cross-doping computation currently exists in the literature. In the revision we will explicitly label the scenario as a proposed working hypothesis, add a dedicated paragraph noting the absence of a direct parameter-consistent test across doping types, and emphasize that future theoretical work is needed to validate or refute the assumption. We retain the scenario because the same t-J-V framework has independently succeeded in describing acoustic plasmons in both doping regimes, but we fully acknowledge that this does not yet constitute a rigorous cross-doping verification. revision: partial

Circularity Check

0 steps flagged

Review aggregates external RIXS analyses and explicit assumptions without internal circular derivation

full rationale

The paper is a review summarizing prior quantitative analyses of RIXS spectra using the t-J-V model, presenting acoustic plasmons as established results from those studies. The reconciliation of hole- versus electron-doped charge-order data is explicitly introduced via the assumption that 'mobile carriers behave in a largely universal manner,' framed only as a 'possible scenario' rather than a derived result. No load-bearing step reduces a claimed prediction or uniqueness to a fit, self-citation chain, or definitional equivalence; the t-J-V framework and experimental datasets are treated as independent inputs. This is the expected outcome for a synthesis review.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The review rests on the t-J-V Hamiltonian whose parameters (hopping t, exchange J, Coulomb V) are adjusted to match RIXS intensities; the layered geometry and long-range V are treated as given extensions of the standard t-J model.

free parameters (1)
  • long-range Coulomb V
    Introduced as an extension parameter whose strength is fitted to reproduce the observed acoustic plasmon dispersion in RIXS spectra.
axioms (2)
  • domain assumption Strong electronic correlations are captured by projecting out double occupancy in the t-J model
    Standard starting point for doped Mott insulators invoked throughout the reviewed calculations.
  • ad hoc to paper Mobile carriers behave largely universally across electron- and hole-doped cuprates
    Explicitly stated as the assumption used to reconcile differing charge-order signatures between the two doping sides.

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Reference graph

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