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arxiv: 2606.11721 · v1 · pith:4DY5VU4Dnew · submitted 2026-06-10 · ❄️ cond-mat.supr-con · cond-mat.mtrl-sci

Ambient and Pressure Dependent Superconductivity with Hydrogen Storage Potential in Quaternary Hydride LiMgZr2H12: A Comprehensive First-principles Insights

Jubair Hossan Abir , Tauhidur Rahman , Salauddin Muhammad Anis , Saleh Hasan Naqib , Raihana Shams Islam This is my paper

Pith reviewed 2026-06-27 08:20 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mtrl-sci
keywords superconductivityhydridefirst-principleselectron-phonon couplinghydrogen storageambient pressurepressure dependence
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The pith

LiMgZr2H12 superconducts at 72.76 K at ambient pressure, rising to 77.3 K at 10 GPa.

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

The paper designs a Li-doped quaternary hydride LiMgZr2H12 in Pmmm symmetry motivated by the MgZrH2n family and shows it is mechanically, thermodynamically, and dynamically stable. First-principles calculations find that Li doping raises the hydrogen-derived density of states at the Fermi level and the electron-phonon coupling strength relative to MgZrH6, producing a calculated Tc of 72.76 K at zero pressure that increases under modest compression. The same calculations indicate the compound is ductile, has a high machinability index, and stores 5.36 wt% hydrogen, pointing to possible dual-use applications. The work therefore claims a route to high-Tc superconductivity that does not require extreme pressures.

Core claim

LiMgZr2H12 with Pmmm symmetry is stable at ambient pressure; its electronic structure yields an electron-phonon coupling constant that gives Tc = 72.76 K at 0 GPa and Tc = 77.3 K at 10 GPa in the Allen-Dynes formula. The material remains mechanically stable and ductile over 0-10 GPa, possesses a machinability index higher than stainless steel, and offers a gravimetric hydrogen storage capacity of 5.36 wt%.

What carries the argument

The LiMgZr2H12 crystal structure (Pmmm symmetry) and the electron-phonon coupling constant λ obtained from DFT phonon and electronic structure calculations, inserted into the Allen-Dynes equation.

Load-bearing premise

The electron-phonon coupling constant from the DFT calculations, together with the conventional choice of Coulomb pseudopotential μ* = 0.1, correctly predicts the superconducting transition temperature.

What would settle it

Experimental synthesis of LiMgZr2H12 followed by direct measurement of its critical temperature or confirmation of its dynamical stability at ambient pressure.

Figures

Figures reproduced from arXiv: 2606.11721 by Jubair Hossan Abir, Raihana Shams Islam, Salauddin Muhammad Anis, Saleh Hasan Naqib, Tauhidur Rahman.

Figure 1
Figure 1. Figure 1: Crystal structure of the quaternary hydride LiMgZr2H12 with Pmmm symmetry and electron localization function (ELF) of LiMgZr2H12. To clarify the bonding characteristics in LiMgZr2H12, the electron localization function (ELF) and Bader charge analyses were performed [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Orbital projected electronic band structures of LiMgZr2H12 within ± 6 eV of 𝐸F for without (w/o SOC) and with SOC at ambient pressure (0 GPa) and 10 GPa. At 0 GPa without SOC, the bands near the Fermi level are primarily dominated by Zr-d orbitals particularly by the dxy, dx 2 −y 2 , dyz, dxz, and dz 2 states. This indicates that the conduction properties are mainly governed by Zirconium atoms. Contributio… view at source ↗
Figure 3
Figure 3. Figure 3: Comparison of electronic band structures and total density of states of LiMgZr2H12 along high symmetry directions in the first Brillouin zone for 0, 2, 4, 6, 8, and 10 GPa pressures. −6 −4 −2 0 2 4 6 Γ Z T Y S X U R vHs EF Energy, E-EF (eV) k-points 0 2 4 6 8 10 Total EF EF 0.5 1.0 0.0 Zr DOS (Electron states/eV.unit cell) Energy, E-EF (eV) 0.5 1.0 0.0 0 GPa 2 GPa 4 GPa 6 GPa 8 GPa 10 GPa H 0.04 0.00 Mg −6… view at source ↗
Figure 4
Figure 4. Figure 4: Fermi surface topologies of LiMgZr₂H₁₂ without SOC at 0 GPa [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: (a) Elastic constants (b) Calculated elastic moduli (c) Calculated Poisson’s ratio and Pugh’s ratio (d) Calculated machinability index under 0, 2, 4, 6, 8, 10 GPa [PITH_FULL_IMAGE:figures/full_fig_p013_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Calculated hardness parameters under several pressures [PITH_FULL_IMAGE:figures/full_fig_p015_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Anisotropy factors A1, A2, A3, AB, AG, AU under several pressures for LiMgZr2H12. 0 2 4 6 8 10 0.0 0.5 1.0 1.5 2.0 2.5 3.0 A1 A2 A3 AB (%) AG (%) AU Anisotropy factors Pressure (GPa) [PITH_FULL_IMAGE:figures/full_fig_p016_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Lower bound of bulk modulus, bulk modulus along the crystallographic axes a, b, c (Ba, Bb, Bc in GPa), Kleinman parameter, α, β for several pressures. 0 2 4 6 8 10 50 100 150 200 250 300 350 400 450 0 2 4 6 8 10 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 Brelax Ba Bb Bc Pressure (GPa) ζ α β Pressure (GPa) [PITH_FULL_IMAGE:figures/full_fig_p017_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Variation of (a) Debye temperature (θD) and (b) melting temperature (Tm) of LiMgZr2H12 with pressure [PITH_FULL_IMAGE:figures/full_fig_p019_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Variation of phonon thermal conductivity of LiMgZr2H12 as a function of pressure and temperature [PITH_FULL_IMAGE:figures/full_fig_p020_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: The energy (or, equivalently, frequency) dependent (a) real part of dielectric function (b) imaginary part of dielectric function (c) absorption coefficient (d) reflectivity (e) real part of refractive index (f) imaginary part of refractive index (g) optical conductivity and (h) loss function of LiMgZr2H12 with electric field polarization vectors along [100], [010] and [001] directions at 0 GPa and 10 GPa… view at source ↗
Figure 12
Figure 12. Figure 12: Phonon dispersions weighted by different atomic vibrational modes of LiMgZr2H12. The right panel displays the total phonon density of states (gray area) along with the mode-resolved contributions (colored lines). Phonon dispersions weighted by the electron-phonon coupling (EPC) strength, along with the Eliashberg spectral function, α2F(ω) and the integrated strength of EPC, λ(ω) for LiMgZr2H12 at 0 GPa an… view at source ↗
read the original abstract

Molecular hydrides have attracted relatively less attention in the search for high Tc superconductors because their hydrogen quasi-molecular units tend to be electronically inactive for superconductivity. In contrast, hydrogen rich compounds under high pressure have been widely considered strong candidates for achieving room-temperature superconductivity. However, their dependence on extreme pressure conditions significantly constrains their practical applicability. This work investigates hydrogen-rich superconducting materials that may be stable under ambient pressure conditions. Motivated by recent studies on the MgZrH2n family, a LiMgZr2H12 structure with Pmmm symmetry was designed. The mechanical, thermodynamic, and dynamical stability of the compound, together with its electronic and optical properties, were systematically investigated using first-principles calculations. Li doping in LiMgZr2H12 significantly increases the hydrogen derived contribution near the Fermi level (EF) and strengthens the electron-phonon coupling constant ({\lambda}) compared with MgZrH6. LiMgZr2H12 exhibits a critical temperature of 72.76 K at ambient pressure, which is further enhanced by applying pressure. At 10 GPa the critical temperature increases to 77.3 K. Elastic property analysis shows that the material remains mechanically stable over the pressure range studied (0-10 GPa). It also behaves like a ductile material suitable for current carrying applications. The material has a high machinability index, which is much higher than that of stainless steels. In addition, LiMgZr2H12 exhibits a gravimetric hydrogen storage capacity of 5.36 wt%, indicating its potential as a promising candidate for hybrid hydrogen storage technologies. This work offers a new direction for designing high-Tc hydrides at ambient conditions.

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 / 2 minor

Summary. The manuscript reports first-principles DFT calculations on the quaternary hydride LiMgZr2H12 (Pmmm symmetry), claiming mechanical, dynamical and thermodynamic stability at ambient pressure. It predicts a superconducting Tc of 72.76 K at 0 GPa rising to 77.3 K at 10 GPa via the Allen-Dynes formula, together with a gravimetric hydrogen storage capacity of 5.36 wt% and ductile mechanical behavior suitable for applications.

Significance. If the Tc result is robust, the work would be significant: it identifies a candidate high-Tc hydride that is stable at ambient pressure (unlike most high-pressure hydrides) while also offering hydrogen-storage functionality. The study includes elastic constants, phonon spectra, electronic structure, and pressure dependence up to 10 GPa. Credit is due for the systematic stability checks and the dual superconductivity/storage focus.

major comments (1)
  1. [Superconducting properties / Tc calculation] The reported Tc values (72.76 K at 0 GPa, 77.3 K at 10 GPa) are obtained by inserting a DFT-derived λ and ω_log into the Allen-Dynes equation with the Coulomb pseudopotential fixed at the conventional value μ*=0.1. No raw λ or ω_log values are stated, no sensitivity analysis versus μ* (e.g., 0.10–0.13) is performed, and no independent Eliashberg or first-principles μ* calculation is provided. In the high-λ regime typical of these hydrides this single external parameter controls the quantitative claim.
minor comments (2)
  1. [Abstract] The abstract states that Li doping 'significantly increases' the hydrogen-derived DOS at EF and strengthens λ relative to MgZrH6, but no numerical comparison (DOS values, λ values, or a table) is referenced.
  2. [Methods / Computational details] Convergence parameters for the phonon and Eliashberg calculations (k-mesh, q-mesh, cutoff energies) are not summarized; typical uncertainties in such Tc predictions should be quantified.

Simulated Author's Rebuttal

1 responses · 1 unresolved

We thank the referee for their careful reading and constructive feedback on our manuscript. We address the concern regarding the superconducting Tc calculation point by point below and will revise the manuscript to improve transparency and robustness where possible.

read point-by-point responses

  1. Referee: The reported Tc values (72.76 K at 0 GPa, 77.3 K at 10 GPa) are obtained by inserting a DFT-derived λ and ω_log into the Allen-Dynes equation with the Coulomb pseudopotential fixed at the conventional value μ*=0.1. No raw λ or ω_log values are stated, no sensitivity analysis versus μ* (e.g., 0.10–0.13) is performed, and no independent Eliashberg or first-principles μ* calculation is provided. In the high-λ regime typical of these hydrides this single external parameter controls the quantitative claim.

    Authors: We agree that explicitly reporting the raw λ and ω_log values is necessary for full transparency and will add these quantities (computed via DFPT) to the revised manuscript, including their pressure dependence. We will also perform and report a sensitivity analysis of Tc versus μ* over the range 0.10–0.13 to quantify the dependence on this parameter. The conventional choice μ*=0.1 follows the standard practice in the hydride superconductivity literature and enables direct comparison with prior theoretical studies; we will cite representative examples. However, a full numerical solution of the Eliashberg equations or an ab initio evaluation of μ* lies outside the scope of the present DFT-based investigation and would require substantially more advanced methodology and computational resources. revision: partial

standing simulated objections not resolved
  • Request for an independent Eliashberg or first-principles μ* calculation, which cannot be addressed within the current DFT phonon and Allen-Dynes framework without a major expansion of the study scope.

Circularity Check

0 steps flagged

No circularity: standard DFT + Allen-Dynes workflow with conventional μ*

full rationale

The paper computes electronic bands, phonons, and λ via DFT (standard first-principles steps), then inserts the resulting λ and ω_log into the Allen-Dynes/McMillan formula using the externally fixed conventional value μ*=0.1. No equation in the manuscript defines Tc in terms of itself, renames a fitted quantity as a prediction, or reduces the central claim to a self-citation chain. The formula and μ* choice are independent of the target result and are standard practice; the derivation chain therefore remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central Tc claim rests on the standard choice of μ* = 0.1 in the superconductivity formula and on the assumption that DFT accurately captures the electron-phonon matrix elements for this hypothetical structure; no independent experimental anchor or machine-checked proof is supplied.

free parameters (1)
  • Coulomb pseudopotential μ* = 0.1 (assumed)
    Standard value (typically 0.1) inserted into the Allen-Dynes formula to obtain Tc from the computed λ.
axioms (2)
  • domain assumption The Pmmm LiMgZr2H12 structure is dynamically stable (no imaginary phonon modes).
    Required for the material to be considered a viable candidate; invoked when reporting mechanical and thermodynamic stability.
  • domain assumption DFT with chosen functional and pseudopotentials yields reliable electron-phonon coupling for this hydride.
    Central to the λ and Tc calculation; standard but unproven for the new composition.

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discussion (0)

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Reference graph

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