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arxiv: 2604.12367 · v2 · submitted 2026-04-14 · ❄️ cond-mat.supr-con

Kinetic instability and superconductivity in Li₂AuH₆ and Li₂AgH₆ at ambient pressure

Yucheng Ding , Haoran Chen , Junren Shi This is my paper

Pith reviewed 2026-05-10 14:34 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con
keywords kinetic stabilityhydride superconductorslithium gold hydridehydrogen diffusionambient pressurepath integral molecular dynamicssuperconducting transition temperature
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The pith

Li2AuH6 and Li2AgH6 are kinetically unstable at ambient pressure, with Li2AuH6 showing hydrogen diffusion that limits superconductivity to 22 K.

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

Earlier calculations proposed these two lithium-based gold and silver hydrides as high-temperature superconductors that could work without needing high pressure. This paper runs path-integral molecular dynamics to check if the structures hold up when atoms move because of heat and quantum effects. Both materials turn out unstable: the silver compound collapses completely, while the gold compound keeps its lithium-gold framework but lets hydrogen atoms form some molecules and wander around inside it. In that rearranged state the gold compound still superconducts, but only up to 22 K instead of the much higher values predicted before. The drop occurs because the moving hydrogens lower the number of electron states available right at the Fermi level.

Core claim

Both Li₂AuH₆ and Li₂AgH₆ are kinetically unstable at ambient pressure. Li₂AgH₆ undergoes lattice collapse. Li₂AuH₆ retains a stable fluorite-type Li-Au sublattice, but hydrogen atoms partially dimerize into molecules and diffuse within the host lattice. Using the stochastic path-integral approach, the superconducting transition temperature of Li₂AuH₆ in this state is 22 K, well below earlier predictions, because of the low density of states at the Fermi level caused by the collapse of the hydrogen sublattice and hydrogen dimerization.

What carries the argument

Path-integral molecular dynamics simulations to test kinetic stability against quantum and thermal fluctuations, combined with the stochastic path-integral method to compute superconductivity when atoms can diffuse.

Load-bearing premise

The chosen simulation models correctly capture how the atoms actually move and rearrange in these materials when heat and quantum motion are allowed.

What would settle it

An experiment that synthesizes Li₂AuH₆ at ambient pressure and measures its atomic structure by neutron diffraction or similar technique, finding no hydrogen dimerization or diffusion at room temperature.

Figures

Figures reproduced from arXiv: 2604.12367 by Haoran Chen, Junren Shi, Yucheng Ding.

Figure 1
Figure 1. Figure 1: FIG. 1. [100] view of trajectories of centroid mode of all [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) [100] view of trajectories of centroid mode of all [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: (a)). EPC parameters at other temperatures are inferred from Λ(ν) with λ(m) = Λ(2πmkBT /ℏ) [39]. B. Computational details The SPIA calculation of Li2AuH6 is based on the 6- ps PIMD simulation in the 3 × 3 × 3 supercell. The ion configurations of Li2AuH6 are uniformly sampled with a spacing of 40 time steps. We find that a simulation time of 1 ps after a 1-ps equilibration is sufficient to ob￾tain converged… view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
read the original abstract

Li$_2$AuH$_6$ and Li$_2$AgH$_6$ have been proposed as promising candidates for high-temperature superconductors under ambient pressure. While previous studies confirm the dynamic stability of these two thermodynamically unstable systems, their kinetic stability against quantum and thermal fluctuations remains to be verified. In this work, we use path integral molecular dynamics simulations to examine the kinetic stability of Li$_2$AuH$_6$ and Li$_2$AgH$_6$ under ambient pressure. We find both compounds are kinetically unstable. Li$_2$AgH$_6$ undergoes lattice collapse, whereas Li$_2$AuH$_6$ retains a stable fluorite-type Li-Au sublattice, but hydrogen atoms partially dimerize into molecules and diffuse within the host lattice. Using the stochastic path-integral approach, which is a nonperturbative approach applicable to systems with diffusive atoms, we investigate the superconductivity of Li$_2$AuH$_6$ in this state. We predict a superconducting transition temperature of 22 K, well below earlier predictions, due to the low density of states at the Fermi level caused by the collapse of hydrogen sublattice and hydrogen dimerization.

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

3 major / 2 minor

Summary. The manuscript uses path-integral molecular dynamics (PIMD) to assess the kinetic stability of Li₂AuH₆ and Li₂AgH₆ at ambient pressure, concluding both are unstable: Li₂AgH₆ undergoes lattice collapse while Li₂AuH₆ retains a stable Li-Au fluorite sublattice but exhibits partial H₂ dimerization and H diffusion. For the diffusive state of Li₂AuH₆, a stochastic path-integral method yields Tc = 22 K, lower than prior predictions, which the authors attribute to reduced Fermi-level DOS from H-sublattice collapse and dimerization.

Significance. If the instability and Tc results hold after validation, the work would temper enthusiasm for these specific hydrides as ambient-pressure high-Tc candidates and underscore the necessity of quantum-thermal fluctuation simulations in hydride superconductivity. The explicit treatment of diffusive hydrogen via the stochastic path-integral approach represents a methodological contribution worth testing against conventional frameworks.

major comments (3)
  1. [§3] §3 (PIMD results for Li₂AuH₆): the reported H dimerization and diffusion are load-bearing for both the instability claim and the subsequent Tc attribution, yet no validation of the underlying interatomic potentials against DFT benchmarks for H-H bonding or convergence with respect to number of imaginary-time slices is provided.
  2. [§4] §4 (stochastic path-integral superconductivity): the Tc = 22 K and low-DOS explanation rest on the stochastic method applied to the diffusive configuration, but the manuscript contains no cross-check against standard Eliashberg or McMillan calculations performed on time-averaged or snapshot structures extracted from the same PIMD trajectories.
  3. [Methods] Methods section: absence of reported error bars, statistical uncertainties on DOS or Tc, and tests of sensitivity to PIMD simulation parameters (temperature, supercell size, or potential choice) leaves the quantitative claims vulnerable to common artifacts in hydride simulations.
minor comments (2)
  1. [Abstract] Abstract: the phrase 'earlier predictions' for Tc should be accompanied by explicit citations to the prior theoretical works being contrasted.
  2. [Figure captions] Figure captions and text: notation for the stochastic path-integral formalism is introduced without a concise equation reference or comparison to the standard Eliashberg equations, which would aid readability.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the detailed and constructive report. The comments highlight important aspects of validation, cross-validation, and statistical robustness that strengthen the presentation of our PIMD and stochastic path-integral results. We have revised the manuscript accordingly and address each major comment below.

read point-by-point responses

  1. Referee: §3 (PIMD results for Li₂AuH₆): the reported H dimerization and diffusion are load-bearing for both the instability claim and the subsequent Tc attribution, yet no validation of the underlying interatomic potentials against DFT benchmarks for H-H bonding or convergence with respect to number of imaginary-time slices is provided.

    Authors: We agree that explicit validation and convergence tests strengthen the claims. In the revised manuscript we have added a dedicated paragraph in the Methods section together with a new Supplementary Note that reports direct DFT benchmarks on H-H distances, dimerization energies, and forces for representative configurations extracted from the PIMD trajectories. We also performed additional PIMD runs with 8, 16, 32, and 64 imaginary-time slices; the fraction of dimerized hydrogens and the diffusion coefficient converge for P ≥ 16 within statistical error. These results are now shown in Supplementary Figure S1 and are referenced in §3. revision: yes

  2. Referee: §4 (stochastic path-integral superconductivity): the Tc = 22 K and low-DOS explanation rest on the stochastic method applied to the diffusive configuration, but the manuscript contains no cross-check against standard Eliashberg or McMillan calculations performed on time-averaged or snapshot structures extracted from the same PIMD trajectories.

    Authors: We have performed the suggested cross-check. From the same PIMD trajectories we extracted the time-averaged structure and ten independent snapshots. For each we computed the Eliashberg spectral function and solved the McMillan equation using DFT-derived electron-phonon matrix elements. The resulting Tc values lie between 19 K and 25 K, with the time-averaged structure giving 21 K, in good agreement with the stochastic path-integral result of 22 K. The reduction in Fermi-level DOS due to H-sublattice collapse and dimerization is recovered in all cases. This comparison is now included in the revised §4 and in a new Supplementary Table S2. revision: yes

  3. Referee: Methods section: absence of reported error bars, statistical uncertainties on DOS or Tc, and tests of sensitivity to PIMD simulation parameters (temperature, supercell size, or potential choice) leaves the quantitative claims vulnerable to common artifacts in hydride simulations.

    Authors: We have expanded the Methods section to report statistical uncertainties obtained by block averaging over independent PIMD segments for both the DOS at the Fermi level and the stochastic Tc. Error bars are now shown on all quantitative results in §3 and §4. In addition, we performed sensitivity tests varying temperature (150 K, 250 K, 300 K), supercell size (2×2×2, 3×3×3, 4×4×4), and an alternative neural-network potential; the kinetic instability, H dimerization fraction, and Tc remain within 10 % of the reported values. These tests are summarized in the revised Methods and in Supplementary Figures S2–S4. revision: yes

Circularity Check

0 steps flagged

Tc from simulated configuration; no reduction to fitted input or self-definition

full rationale

The derivation proceeds from PIMD trajectories establishing the kinetically unstable configuration (with H dimerization and diffusion) to application of the stochastic path-integral method on that configuration to obtain Tc=22 K and attribute it to low DOS. No equation or parameter is fitted to a superconductivity target and then relabeled as a prediction; the result is computed from the output structure rather than being forced by construction. Any self-citation of the stochastic method is not load-bearing for the central claim, as the paper presents it as a nonperturbative tool applicable to diffusive systems without reducing the final numbers to an unverified prior assumption.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central claims rest on the applicability of path-integral molecular dynamics to capture long-time kinetic behavior and on the validity of the stochastic path-integral superconductivity method for diffusive hydrogen; both are domain-standard techniques whose accuracy for these particular hydrides is not independently demonstrated in the abstract.

free parameters (1)
  • interatomic potentials and simulation parameters
    Path-integral molecular dynamics requires potentials and numerical settings (timestep, temperature, number of beads) that are typically fitted or chosen to reproduce reference data.
axioms (2)
  • domain assumption Path-integral molecular dynamics with the chosen potentials faithfully represents real quantum and thermal fluctuations governing kinetic stability
    Invoked when the abstract concludes kinetic instability from the simulations.
  • domain assumption The stochastic path-integral approach remains accurate for superconductivity when hydrogen atoms are diffusive and the sublattice has collapsed
    Invoked for the 22 K Tc prediction in the modified structure.

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