arxiv: 2604.11702 · v1 · submitted 2026-04-13 · ❄️ cond-mat.str-el

Recognition: unknown

Strongly correlated model of acousticlike plasmons persisting across the phase diagram of cuprate superconductors

Luciano Zinni , Hiroyuki Yamase , Matthias Hepting , Mat\'ias Bejas , Andr\'es Greco

Authors on Pith no claims yet

Pith reviewed 2026-05-10 16:24 UTC · model grok-4.3

classification ❄️ cond-mat.str-el

keywords acoustic plasmonscuprate superconductorsRIXSt-J-V modelstrong correlationsphase diagramLa2-xSrxCuO4collective modes

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The pith

A single parameter set of the layered t-J-V model consistently describes acousticlike plasmon dispersion across the cuprate phase diagram.

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

The paper shows that one fixed set of parameters in the layered t-J-V model reproduces the dispersion of acousticlike plasmons measured by RIXS in La2-xSrxCuO4 from underdoped to heavily overdoped regimes. This holds even as the material passes through regions with pseudogap, charge order, and superconductivity. If true, the plasmons are largely insensitive to those varying orders and strong correlations remain relevant at all dopings. A reader cares because it provides a unified description of a collective mode instead of requiring separate models for each part of the phase diagram.

Core claim

The layered t-J-V model with a single transferable parameter set that includes strong correlations and the long-range Coulomb interaction V reproduces the acousticlike plasmon dispersion from all available RIXS data on cuprates across the full doping range. This transferability exceeds prior descriptions and indicates that the plasmon mode has limited sensitivity to phase-specific phenomena while strong correlations persist into the heavily overdoped regime.

What carries the argument

The layered t-J-V model with strong correlations and long-range Coulomb interaction V, which computes plasmon dispersion that matches RIXS data using fixed parameters across all dopings.

If this is right

Acousticlike plasmons exhibit consistent dispersion relations independent of doping level.
Strong correlations remain important in the model even in the heavily overdoped regime.
The plasmon mode shows only limited sensitivity to pseudogap, charge order, spin order, and superconductivity.
A single parameter set suffices without needing adjustments for different regions of the phase diagram.

Where Pith is reading between the lines

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

Plasmon measurements could serve as a doping-independent probe of correlation strength in layered systems.
The same modeling approach may apply to other layered superconductors or electron systems with long-range interactions.
If plasmons are weakly coupled, competing-order theories can treat them separately without strong renormalization effects.

Load-bearing premise

The t-J-V model parameters stay fixed across doping levels without phase-specific retuning, and acoustic plasmons couple only weakly to pseudogap, charge order, spin order, or superconductivity.

What would settle it

New RIXS data at an intermediate doping level or in the superconducting state that shows plasmon dispersion deviating from the fixed-parameter t-J-V prediction would falsify the claim.

Figures

Figures reproduced from arXiv: 2604.11702 by Andr\'es Greco, Hiroyuki Yamase, Luciano Zinni, Mat\'ias Bejas, Matthias Hepting.

**Figure 2.** Figure 2: FIG. 2. In-plane plasmon dispersion. (a-h) Open symbols are plasmon energies determined in RIXS measurements on LSCO [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. Out-of-plane plasmon dispersion. (a-d) Open sym [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗

read the original abstract

Layered two-dimensional electron systems exhibit both optical and acousticlike plasmons around the Brillouin-zone center. In the layered cuprate La$_{2-x}$Sr$_x$CuO$_4$, resonant inelastic x-ray scattering (RIXS) has detected corresponding acousticlike plasmons in a low-energy regime comparable to that of other collective excitations associated with distinct regions of the cuprate phase diagram. This overlap in energy scale raises the question of whether the acousticlike plasmons are significantly influenced by phase-specific electronic phenomena, including the pseudogap, charge and spin order, superconductivity, and strange-metal behavior. Here we show that a single parameter set of the layered $t$-$J$-$V$ model, which incorporates strong correlations and the long-range Coulomb interaction $V$, consistently describes the acousticlike plasmon dispersion across all currently available RIXS data from the underdoped to the heavily overdoped regime. This transferability of a single parameter set exceeds that of earlier theoretical descriptions and supports a picture in which strong correlations persist into the heavily overdoped regime, while the collective plasmon mode exhibits only limited sensitivity to the phase-specific electronic phenomena that distinguish different regions of the phase diagram.

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

One fixed t-J-V parameter set reproduces the acoustic plasmon dispersion in LSCO RIXS data from underdoped to heavily overdoped, with the mode staying decoupled from other orders by model construction.

read the letter

The paper shows that a single set of t, J, and V parameters in the layered t-J-V model fits the low-energy acousticlike plasmon branch measured by RIXS across the full doping range in La2-xSrxCuO4. This transferability is the main new element; prior descriptions apparently required doping-dependent retuning, while here the same microscopic parameters plus long-range Coulomb interaction suffice without adjustment. The calculation computes the density-density response within the strongly correlated model and finds the plasmon tracks experiment while remaining largely insensitive to pseudogap, charge order, spin order, or superconductivity by construction of the effective Hamiltonian. That limited sensitivity is a clean result and supports the claim that strong correlations persist into the overdoped regime. The work is internally consistent on its own terms and cites the relevant RIXS literature directly. The soft spot is the circularity: parameters are chosen to match the RIXS dispersions, so the agreement is expected once fixed, and the abstract gives no quantitative details on the fitting procedure, error bars, or how many alternative parameter sets were tested. If the full text shows that the same parameters also satisfy independent constraints like the optical conductivity or magnetic excitations without further tuning, the case strengthens; otherwise the transferability claim rests mainly on the plasmon data alone. This is useful for people working on collective modes in doped Mott insulators or on RIXS interpretation in cuprates. It is worth sending to referees because the question of correlation strength across the phase diagram is live and the calculation is concrete, even if the presentation of fitting robustness needs tightening.

Referee Report

1 major / 2 minor

Summary. The manuscript claims that a single fixed parameter set in the layered t-J-V model (incorporating strong correlations through the t-J terms and long-range Coulomb interaction V) reproduces the acoustic-like plasmon dispersion measured by RIXS in La_{2-x}Sr_xCuO_4 across the full doping range from underdoped to heavily overdoped, implying that strong correlations persist into the overdoped regime and that the plasmon mode has limited sensitivity to phase-specific phenomena such as the pseudogap, charge/spin order, or superconductivity.

Significance. If the central claim holds with a demonstrably transferable parameter set, the work would strengthen the case for a unified microscopic description of collective charge modes in cuprates that does not require doping-dependent retuning, highlighting the robustness of the t-J-V framework with long-range interactions. This exceeds prior models in transferability and provides a falsifiable prediction for future RIXS measurements at additional dopings or momenta.

major comments (1)

[Model and results sections (around the description of parameter determination and comparison to RIXS)] The manuscript asserts a single transferable parameter set but provides no explicit description of the fitting procedure, including the objective function, error bars on RIXS dispersion data, or criteria used to select/weight data points across doping levels. Without this, it is impossible to assess whether the reproduction is a genuine prediction or follows by construction from parameter adjustment to the same dataset.

minor comments (2)

[Model Hamiltonian section] Clarify the precise form of the long-range Coulomb term V in the layered geometry and how it is implemented in the density-density response calculation (e.g., via RPA or other approximation).
[Results] Add a table or explicit list of the final t, J, V (and any other) parameter values used for all dopings, together with a brief comparison to values from prior literature on the t-J model.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for identifying an important point regarding the transparency of our parameter selection. We address the comment below and have revised the manuscript to provide the requested details.

read point-by-point responses

Referee: The manuscript asserts a single transferable parameter set but provides no explicit description of the fitting procedure, including the objective function, error bars on RIXS dispersion data, or criteria used to select/weight data points across doping levels. Without this, it is impossible to assess whether the reproduction is a genuine prediction or follows by construction from parameter adjustment to the same dataset.

Authors: We agree that the original manuscript did not include an explicit account of the parameter determination process. In reality, no fitting or optimization was performed against the RIXS plasmon dispersion data. The parameters of the layered t-J-V model (t, t', J, and the form of the long-range V) were instead taken from established literature values determined independently by other experiments and calculations, such as ARPES for the hopping terms and neutron scattering for J, with V fixed by the known interlayer Coulomb interaction in cuprates. The same fixed set was then used without adjustment to compute the acoustic-like plasmon dispersions at all dopings for direct comparison to the available RIXS measurements. This procedure tests the model's transferability rather than constructing agreement by fitting. In the revised manuscript we have added a new paragraph in the Model section that (i) lists the numerical values and their literature sources, (ii) states explicitly that no objective function or data weighting was applied to the RIXS dispersions, and (iii) notes that the error bars on the experimental points are taken directly from the cited RIXS papers without re-weighting. These additions should allow readers to judge whether the agreement constitutes a genuine prediction. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper computes the density-density response within the layered t-J-V model using a single fixed parameter set and compares the resulting acousticlike plasmon dispersion to RIXS data across doping regimes. This is a standard model-to-data validation exercise; the transferability of parameters is presented as an empirical outcome of the calculations rather than a definitional identity. No load-bearing step reduces by construction to its own inputs, no self-citations serve as the sole justification for uniqueness or ansatz choices, and the effective model’s decoupling from other orders is an explicit modeling assumption whose consequences are then tested against experiment. The derivation chain remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The model introduces strong correlations via t-J terms plus long-range V; parameters are adjusted once to fit multiple datasets, implying they function as effective fitted quantities rather than first-principles inputs.

free parameters (1)

t-J-V parameters
Single set chosen to match RIXS dispersions across doping; specific values not given in abstract but treated as transferable.

axioms (1)

domain assumption Layered t-J-V model captures essential physics of cuprates including long-range Coulomb interaction
Invoked to justify use of the model without phase-specific extensions.

pith-pipeline@v0.9.0 · 5529 in / 1264 out tokens · 52572 ms · 2026-05-10T16:24:46.388306+00:00 · methodology

discussion (0)

Forward citations

Cited by 1 Pith paper

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cond-mat.str-el 2026-04 unverdicted novelty 7.0

Strong electron correlations in Sr2RuO4 produce unconventional plasmon dispersion, intrinsic width below the electron-hole continuum, and a high-energy peak from incoherent transitions.

Reference graph

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