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arxiv: 2606.08423 · v1 · pith:RW6FGKQFnew · submitted 2026-06-07 · ❄️ cond-mat.supr-con

First-Principles Investigation of Electron--Phonon Coupling and Intrinsic Two-Gap Superconductivity in Hexagonal BAs3 Monolayer

Jakkapat Seeyangnok , Udomsilp Pinsook This is my paper

Pith reviewed 2026-06-27 18:07 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con
keywords BAs3 monolayertwo-gap superconductivityelectron-phonon couplingEliashberg equations2D superconductorfirst-principlesboron arsenide
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The pith

The BAs3 monolayer is an intrinsic two-gap superconductor with a predicted Tc of 3.4 K.

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

This paper uses first-principles methods to examine the properties of a hexagonal BAs3 monolayer. Calculations show it is stable and metallic, with electron-phonon coupling of 0.75 that leads to superconductivity. Solving the anisotropic Eliashberg equations reveals a critical temperature of 3.4 K and two superconducting gaps of 0.75 meV and 0.51 meV that cover the entire Fermi surface without nodes. The two-gap nature comes from different pairing strengths on separate Fermi surface sheets derived from p-orbitals. Readers might care as it provides an example of multigap superconductivity in a two-dimensional boron compound.

Core claim

The central claim is that first-principles calculations combined with density functional perturbation theory and fully anisotropic Migdal-Eliashberg theory predict that monolayer BAs3 is an intrinsic anisotropic two-gap superconductor with Tc = 3.4 K. The momentum-resolved gaps are 0.75 meV and 0.51 meV at 1 K, remaining finite everywhere on the Fermi surface, and the two-gap character arises from sheet-dependent pairing interactions on distinct Fermi-surface sheets.

What carries the argument

Fully anisotropic Migdal-Eliashberg theory applied to electron-phonon matrix elements; it carries the argument by resolving the momentum dependence of the superconducting gap on different Fermi surface sheets to reveal the two-gap structure.

If this is right

  • Monolayer BAs3 is dynamically and thermally stable.
  • The electron-phonon coupling constant is 0.75, dominated by low-frequency As-derived phonon modes.
  • The superconducting state has a critical temperature of 3.4 K.
  • The gaps are fully gapped and nodeless over the entire Fermi surface.
  • The two-gap superconductivity originates from sheet-dependent pairing interactions.

Where Pith is reading between the lines

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

  • Related 2D boron compounds may also host multigap superconductivity that could be explored with similar methods.
  • Transport or tunneling experiments on synthesized BAs3 monolayers could test the predicted gap values and Tc.
  • The mechanism of sheet-dependent pairing may apply to other multiband 2D metals.

Load-bearing premise

The Migdal-Eliashberg approximation is sufficient to describe the superconducting state for this electron-phonon coupling strength without vertex corrections.

What would settle it

An experiment that measures the critical temperature significantly different from 3.4 K or finds nodes in the superconducting gap on the BAs3 monolayer would falsify the prediction.

Figures

Figures reproduced from arXiv: 2606.08423 by Jakkapat Seeyangnok, Udomsilp Pinsook.

Figure 1
Figure 1. Figure 1: Crystal structure of monolayer BAs3. (a) Side view of the optimized structure showing the buckled boron–arsenic network together with the vacuum region of 15.0 ˚A introduced along the out￾of-plane direction to eliminate interactions between periodic images. (b) Top view of the hexagonal lattice. The primitive unit cell is indicated by the black rhombus, with an optimized lattice constant of a = 7.00 ˚A. Or… view at source ↗
Figure 2
Figure 2. Figure 2: (a) Superposition of the initial and final atomic configurations obtained from a 10 ps AIMD [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Bonding character and electrostatic profile of monolayer BAs [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Electronic structure of monolayer BAs3. (a) Orbital-projected electronic band structure and electronic density of states (EDOS). The Fermi level is set to zero energy. The size of the colored markers is proportional to the orbital contribution of the corresponding atomic states. The states near the Fermi level are dominated by B-p and As-p orbitals, indicating strong orbital hybridization. The EDOS confirm… view at source ↗
Figure 5
Figure 5. Figure 5: Phonon and electron–phonon coupling (EPC) properties of monolayer BAs [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: (a) Temperature dependence of the superconducting gaps obtained from anisotropic Eliash [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
read the original abstract

Two-dimensional superconductors with multiband electronic structures provide an ideal platform for exploring anisotropic and multigap superconductivity in the reduced-dimensionality limit. Here, we investigate the structural, electronic, vibrational, and superconducting properties of a hexagonal BAs$_3$ monolayer using first-principles calculations combined with density functional perturbation theory and fully anisotropic Migdal--Eliashberg theory. The optimized structure is found to be dynamically and thermally stable, as confirmed by phonon calculations and ab initio molecular dynamics simulations. Electronic structure calculations reveal an intrinsic metallic state with multiple bands crossing the Fermi level and several disconnected Fermi-surface sheets derived primarily from hybridized B-$p$ and As-$p$ orbitals. The electron--phonon interaction is dominated by low-frequency As-derived phonon modes, yielding a total electron--phonon coupling constant of $\lambda=0.75$. Solving the anisotropic Eliashberg equations predicts a superconducting critical temperature of $T_c=3.4$ K. The momentum-resolved superconducting gap exhibits a pronounced two-gap character with gap magnitudes of $\Delta_1=0.75$ meV and $\Delta_2=0.51$ meV at $T=1$ K. The superconducting gaps remain finite over the entire Fermi surface, demonstrating a fully gapped nodeless superconducting state. Analysis of the momentum-dependent electron--phonon coupling reveals that the two-gap superconductivity originates from sheet-dependent pairing interactions associated with distinct Fermi-surface sheets. Our results establish monolayer BAs$_3$ as an intrinsic anisotropic two-gap superconductor and expand the growing family of boron-based two-dimensional 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.

Referee Report

1 major / 0 minor

Summary. The manuscript uses DFT, DFPT, and fully anisotropic Migdal-Eliashberg theory to study the hexagonal BAs3 monolayer. It reports dynamical and thermal stability, an intrinsic metallic state with multiple disconnected Fermi-surface sheets from B-p and As-p orbitals, λ=0.75 dominated by low-frequency As-derived modes, and a Tc=3.4 K with two-gap superconductivity (Δ1=0.75 meV, Δ2=0.51 meV at T=1 K) that is fully gapped and nodeless, arising from sheet-dependent pairing interactions.

Significance. If the calculations converge and the approximations hold, the work identifies BAs3 as an intrinsic two-gap 2D superconductor and adds a concrete example to the family of boron-based 2D superconductors. The momentum-resolved gap analysis and attribution to distinct Fermi-surface sheets provide useful insight into anisotropic multigap behavior in reduced dimensions.

major comments (1)
  1. Abstract and the section on solution of the anisotropic Eliashberg equations: the central predictions of Tc=3.4 K and the two gap values rest on the Migdal-Eliashberg approximation being valid for the reported λ=0.75. No estimate or check is provided that λ(ω_ph/E_F) ≪ 1 holds for the low-frequency As modes and the 2D multi-sheet Fermi surface, leaving the numerical results subject to uncontrolled vertex-correction effects.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive evaluation of the significance of our work and for identifying this important point regarding the applicability of the Migdal-Eliashberg approximation. We address the comment below.

read point-by-point responses

  1. Referee: Abstract and the section on solution of the anisotropic Eliashberg equations: the central predictions of Tc=3.4 K and the two gap values rest on the Migdal-Eliashberg approximation being valid for the reported λ=0.75. No estimate or check is provided that λ(ω_ph/E_F) ≪ 1 holds for the low-frequency As modes and the 2D multi-sheet Fermi surface, leaving the numerical results subject to uncontrolled vertex-correction effects.

    Authors: We agree that an explicit estimate of the Migdal-Eliashberg validity condition λ(ω_ph/E_F) was not provided in the original manuscript. Although λ = 0.75 lies in the regime where the approximation is routinely applied to two-dimensional materials with comparable coupling strengths, we acknowledge that a direct check for the low-frequency As-derived modes and the multi-sheet Fermi surface would strengthen the presentation. In the revised manuscript we will add a short paragraph (in the computational methods or Eliashberg-equations section) that reports the relevant phonon frequencies, extracts E_F from the DFT band structure for each Fermi-surface sheet, and evaluates the ratio, thereby confirming that vertex corrections remain small. This addition will be accompanied by a brief discussion of the expected accuracy of the reported Tc and gap values. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained first-principles computation

full rationale

The paper computes the crystal structure, phonons via DFPT, electron-phonon matrix elements, and λ=0.75 directly from the input geometry and DFT functionals. It then solves the anisotropic Migdal-Eliashberg equations on those computed quantities to obtain Tc=3.4 K and the two gaps. No parameter is fitted to measured superconducting data, no quantity is defined in terms of its own output, and no load-bearing step reduces to a self-citation or ansatz imported from the authors' prior work. The derivation chain is therefore independent of its target predictions.

Axiom & Free-Parameter Ledger

0 free parameters · 3 axioms · 0 invented entities

The central claim rests on standard assumptions of density functional theory and the Migdal-Eliashberg framework applied to a new material; no free parameters are fitted to superconducting data and no new entities are introduced.

axioms (3)
  • domain assumption Density functional theory with a suitable exchange-correlation functional accurately describes the electronic structure, phonons, and electron-phonon matrix elements of the BAs3 monolayer.
    Invoked for all structural, electronic, and vibrational calculations.
  • domain assumption The Migdal approximation is valid for the computed electron-phonon coupling strength of lambda=0.75.
    Required to justify solving the anisotropic Migdal-Eliashberg equations.
  • domain assumption The harmonic approximation suffices for phonon spectra and the ab initio molecular dynamics confirm thermal stability.
    Used to establish dynamic and thermal stability of the structure.

pith-pipeline@v0.9.1-grok · 5838 in / 1715 out tokens · 29346 ms · 2026-06-27T18:07:45.440684+00:00 · methodology

discussion (0)

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Reference graph

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