arxiv: 2604.21561 · v1 · submitted 2026-04-23 · ❄️ cond-mat.supr-con

Recognition: unknown

Superconductivity induced by altermagnetic spin fluctuations in high-pressure MnB₄

Danylo Radevych , Merc\`e Roig , Daniel F. Agterberg , Igor I. Mazin

Authors on Pith no claims yet

Pith reviewed 2026-05-08 13:39 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con

keywords superconductivityaltermagnetismMnB4spin fluctuationshigh pressurepairing symmetryextended-s wave

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The pith

MnB4 superconductivity under high pressure is driven by altermagnetic spin fluctuations yielding extended-s pairing.

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

Experiments find superconductivity in MnB4 reaching a critical temperature of 14 K at 158 GPa, yet electron-phonon calculations predict Tc below 1 K. Density-functional theory places the material close to an altermagnetic instability. The authors propose that spin fluctuations associated with this instability mediate the pairing. They introduce a two-orbital tight-binding model that integrates out boron states and show that the leading instability has extended-s symmetry. This would constitute the first reported instance of superconductivity induced by altermagnetic fluctuations.

Core claim

The authors find that MnB4 is close to an altermagnetic instability in density-functional theory calculations. They propose that the superconductivity is driven by altermagnetic spin fluctuations. Using a two-orbital tight-binding model in which boron states at the Fermi level are integrated out, they identify an extended-s symmetry as the leading pairing instability.

What carries the argument

Altermagnetic spin fluctuations analyzed through a two-orbital tight-binding model obtained by integrating out boron states.

Load-bearing premise

The assumption that proximity to an altermagnetic instability in DFT calculations is sufficient to produce the observed high Tc without significant phonon or other contributions.

What would settle it

Tunneling or ARPES measurements that find a pairing gap inconsistent with extended-s symmetry, or neutron scattering that shows no altermagnetic fluctuations near the superconducting transition.

Figures

Figures reproduced from arXiv: 2604.21561 by Daniel F. Agterberg, Danylo Radevych, Igor I. Mazin, Merc\`e Roig.

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

**Figure 2.** Figure 2: FIG. 2. Electronic band structure and density of states view at source ↗

**Figure 4.** Figure 4: FIG. 4. Relative energies of magnetic view at source ↗

**Figure 5.** Figure 5: FIG. 5. Comparison of the Fermi surfaces obtained from view at source ↗

read the original abstract

Recent experiments found superconductivity in nonmagnetic MnB$_4$ with a high critical temperature ($T_{c}$) reaching 14 K at 158 GPa. However, ab initio calculations of the electron-phonon coupling predict a $T_{c}$ below 1 K, suggesting that a conventional mechanism cannot explain this phenomenon. In this Letter, we find that MnB$_4$ is close to an altermagnetic instability in density-functional theory calculations. We propose that the superconductivity is driven by altermagnetic spin fluctuations. To verify the pairing symmetry, we have constructed a two-orbital tight-binding model, where boron states at the Fermi level are integrated out. Using this model, we identify an extended-$s$ symmetry as the leading pairing instability. If confirmed, this will be the first reported case of superconductivity driven by altermagnetic spin fluctuations.

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

The paper proposes altermagnetic spin fluctuations as the pairing glue in high-pressure MnB4 but stops at a qualitative model without a Tc estimate or checks on the orbital reduction.

read the letter

The core claim is that MnB4 under pressure sits near an altermagnetic instability in DFT, and that this drives the observed 14 K superconductivity through extended-s pairing once boron states are integrated out. This is the first explicit link of altermagnetic fluctuations to superconductivity in any material, which is the genuinely new element here. The authors correctly flag that phonon calculations give Tc below 1 K, so an alternative mechanism is needed, and they build a minimal two-orbital tight-binding model to extract the leading instability symmetry. That part is clean and internally consistent on its own terms. The model construction is reproducible in principle and the symmetry result follows directly from the interaction they assume. Credit is due for applying the altermagnet concept promptly to a real compound where conventional theory falls short. The main limitation is the absence of any quantitative Tc from the spin-fluctuation channel. No RPA susceptibility is shown on the full bands, no eigenvalue is converted to a transition temperature, and there is no test of whether the two-orbital reduction (after folding out boron states at EF) preserves the dominant pairing glue or introduces artifacts. The argument therefore remains a plausible scenario rather than a demonstrated mechanism. A reader working on altermagnets or on pressure-induced superconductivity in borides would find the idea worth following up, but the paper does not yet supply the numbers or cross-checks needed to treat the claim as settled. It is coherent enough to deserve referee time rather than an immediate desk rejection.

Referee Report

2 major / 0 minor

Summary. The manuscript reports superconductivity in nonmagnetic MnB4 under high pressure (Tc reaching 14 K at 158 GPa), notes that ab initio electron-phonon calculations yield Tc below 1 K, finds proximity to an altermagnetic instability in DFT, proposes that altermagnetic spin fluctuations drive the pairing, constructs a two-orbital tight-binding model by integrating out boron states at the Fermi level, and identifies extended-s symmetry as the leading pairing instability.

Significance. If the proposal is substantiated by quantitative calculations, this would constitute the first reported case of superconductivity mediated by altermagnetic spin fluctuations. The combination of DFT instability detection and symmetry analysis in a reduced model provides a concrete, falsifiable framework that could stimulate searches for similar phenomena in other altermagnetic candidates and clarify the role of spin fluctuations beyond conventional mechanisms.

major comments (2)

[Abstract] Abstract: The central claim that altermagnetic spin fluctuations explain the observed Tc=14 K is not supported by any quantitative estimate of Tc (or eigenvalue spectrum) obtained from the pairing interaction in the two-orbital model; no energy-scale comparison or error analysis is supplied to show that the mechanism can reach the experimental value.
[Two-orbital tight-binding model] Two-orbital tight-binding model (as described in the abstract): The step of integrating out boron states at the Fermi level implicitly assumes these states do not qualitatively alter the effective interaction or the dominance of the altermagnetic channel, yet no RPA susceptibility on the full bands, no larger-basis comparison, and no check against residual phonon or other channels are reported to validate this reduction.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major point below and agree that the current analysis is primarily qualitative and symmetry-based. Revisions will be made to clarify the scope and limitations of our claims.

read point-by-point responses

Referee: [Abstract] The central claim that altermagnetic spin fluctuations explain the observed Tc=14 K is not supported by any quantitative estimate of Tc (or eigenvalue spectrum) obtained from the pairing interaction in the two-orbital model; no energy-scale comparison or error analysis is supplied to show that the mechanism can reach the experimental value.

Authors: We agree that no quantitative Tc is computed from the pairing interaction in the two-orbital model. The work shows DFT proximity to altermagnetic order and identifies extended-s as the leading instability via the reduced model, offering a plausible mechanism for the observed high Tc. A full quantitative calculation would require solving the Eliashberg equations with the fluctuation-mediated interaction, which is beyond the scope of this Letter. We will revise the abstract and main text to present the result as a proposed mechanism supported by symmetry analysis, with quantitative verification noted as future work. revision: partial
Referee: [Two-orbital tight-binding model] The step of integrating out boron states at the Fermi level implicitly assumes these states do not qualitatively alter the effective interaction or the dominance of the altermagnetic channel, yet no RPA susceptibility on the full bands, no larger-basis comparison, and no check against residual phonon or other channels are reported to validate this reduction.

Authors: The two-orbital model projects onto Mn d-states near the Fermi level, as boron p-states are secondary according to our DFT calculations, and the altermagnetic instability is already present in the full DFT band structure. We acknowledge that explicit RPA on the complete bands and checks against other channels would provide stronger validation. In the revised manuscript we will expand the discussion of the model construction, its physical justification, and the associated limitations. revision: yes

standing simulated objections not resolved

Quantitative estimate of Tc from the altermagnetic spin-fluctuation pairing interaction in the two-orbital model

Circularity Check

0 steps flagged

No significant circularity; derivation remains self-contained

full rationale

The paper's chain proceeds from DFT identification of proximity to an altermagnetic instability, to construction of a two-orbital tight-binding model (with boron states integrated out), to explicit determination of extended-s as the leading eigenvalue of the pairing interaction. None of these steps reduces by construction to a fitted parameter, self-referential definition, or load-bearing self-citation; the pairing symmetry is an output of the model rather than presupposed in its construction. The integration-out step is an explicit approximation whose validity can be checked externally, and no uniqueness theorem or ansatz is smuggled in via prior author work. This is the normal case of an independent modeling pipeline.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 1 invented entities

The claim rests on standard DFT assumptions for electronic structure and the validity of the effective two-orbital model. No explicit free parameters are listed, but model construction involves integration choices.

axioms (2)

domain assumption Density functional theory reliably detects proximity to altermagnetic instabilities.
Used to identify the driving instability.
ad hoc to paper Integrating out boron states at the Fermi level preserves the essential pairing physics.
Explicitly stated in the model construction.

invented entities (1)

Altermagnetic spin fluctuations as pairing mediator no independent evidence
purpose: To explain the high-Tc superconductivity beyond phonon predictions
Postulated from DFT proximity; no independent experimental confirmation provided.

pith-pipeline@v0.9.0 · 5464 in / 1401 out tokens · 97699 ms · 2026-05-08T13:39:46.458173+00:00 · methodology

discussion (0)

Reference graph

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