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arxiv: 2604.18843 · v1 · submitted 2026-04-20 · ❄️ cond-mat.supr-con · cond-mat.mtrl-sci

Recognition: unknown

Stripping Symmetry: Electrochemical Oxidation to a Superconducting Polar Metal in Au2Pb0.914P2

Abby N. Neill, Allana G. Iwanicki, Chris Lygouras, Fatmag\"ul Katmer, Jaime Moya, Joseph W. Stiles, Leslie M. Schoop, Scott B. Lee, Stephanie R. Dulovic, Sudipta Chatterjee, Tieyan Chang, Tyrel M. McQueen, Xin Zhang, Yu-Sheng Chen

Authors on Pith no claims yet

Pith reviewed 2026-05-10 02:51 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mtrl-sci
keywords polar metalnoncentrosymmetric superconductorelectrochemical deintercalationtopotactic oxidationtype-II superconductivityJahn-Teller distortionsuperspace group
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The pith

Electrochemical removal of lead from a centrosymmetric crystal drives symmetry breaking to produce a polar superconductor.

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

The authors show that topotactic electrochemical oxidation removes a fraction of the lead atoms from parent Au2PbP2 and thereby forces the lattice into a polar noncentrosymmetric structure. This chemically directed rearrangement is stabilized by a second-order Jahn-Teller effect involving lone-pair activity on the remaining atoms. The resulting Au2Pb0.914P2 is metallic and becomes a type-II superconductor below 1.52 K, with heat capacity and susceptibility both displaying power-law temperature dependence consistent with a gap shaped by the broken inversion symmetry. The work therefore supplies a concrete synthetic handle for generating rare polar metals whose lack of centrosymmetry can influence pairing.

Core claim

Electrochemical topotactic deintercalation of lead from centrosymmetric Au2PbP2 induces a cooperative electronic and geometric rearrangement mediated by a second-order Jahn-Teller effect and stereochemically active lone pairs. The product adopts the polar superspace group Ama2(01g)ss0, which is confirmed by synchrotron diffraction and nonlinear transport. Below Tc = 1.52 K the material is a type-II superconductor whose heat capacity and AC susceptibility follow power laws suggestive of a gap structure governed by the absence of inversion symmetry.

What carries the argument

topotactic electrochemical deintercalation of Pb atoms, which activates a second-order Jahn-Teller distortion that locks the lattice into the polar Ama2(01g)ss0 superspace group

If this is right

  • The polar structure produces measurable nonlinear electronic transport.
  • Heat capacity and AC susceptibility both follow power-law forms below Tc, consistent with nodes or unconventional pairing.
  • Electrochemical oxidation supplies a rational route to other metastable noncentrosymmetric superconductors.
  • The broken inversion symmetry is proposed to dictate the superconducting gap structure.

Where Pith is reading between the lines

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

  • The same electrochemical stripping protocol could be applied to related layered intermetallics to generate additional polar phases.
  • Power-law thermodynamics may signal mixed singlet-triplet pairing allowed only in noncentrosymmetric superconductors.
  • Further low-temperature probes could test whether spin-momentum locking or magnetoelectric responses appear in this material.

Load-bearing premise

Partial lead removal must trigger a cooperative rearrangement that stabilizes the polar phase without introducing enough disorder to destroy long-range coherence or the observed superconductivity.

What would settle it

A synchrotron diffraction refinement that converges to a centrosymmetric space group, or a heat-capacity jump that decays exponentially rather than as a power law below Tc, would falsify the symmetry-breaking and gap-structure claims.

Figures

Figures reproduced from arXiv: 2604.18843 by Abby N. Neill, Allana G. Iwanicki, Chris Lygouras, Fatmag\"ul Katmer, Jaime Moya, Joseph W. Stiles, Leslie M. Schoop, Scott B. Lee, Stephanie R. Dulovic, Sudipta Chatterjee, Tieyan Chang, Tyrel M. McQueen, Xin Zhang, Yu-Sheng Chen.

Figure 1
Figure 1. Figure 1: Crystal structure and electronic structure of the Au2𝑀P2 family. (a) The structure consists of a covalently bonded [Au2P2] tunnel framework enclosing a linear chain of 𝑀 atoms, where 𝑀 = Hg, Tl, Pb, Pb/Bi, or Bi. The structure is quasi-one-dimensional with 𝑀 atoms residing in the tunnels along the crystallographic 𝑎-axis. The framework accommodates varying electron counts, maintaining the 𝑀 atom in a near-… view at source ↗
Figure 2
Figure 2. Figure 2: Approximate modulated structural solution for Au2Pb0.914P2. (a) Cross-sectional view of tunnel-like structure in the a–c plane. P atoms are removed and select contacts are drawn at a cutoff of 3.4 ˚A to place particular emphasis on the Pb–Au coordination environments evolving from capped trigonal prismatic (ctp, opaque) to trigonal bipyramidal (tbp, transparent) along c and Au2 positional modulations along… view at source ↗
Figure 3
Figure 3. Figure 3: Schematic of proposed topotactic oxidation mechanism in Au2Pb1−𝑥P2. (a) Partial density of states plot of Au2 PbP2 , depicting strong Au–Pb 𝜎 bonding (along (b)) located ∼2.25 eV below the Fermi level and weaker Au–Pb 𝜋 bonds (in the ac plane) located near the Fermi level. (b) Combined, these two bonding interactions restrict ionic movement of Pb atoms, visualized in two adjacent tunnels. (c) A cross-secti… view at source ↗
Figure 4
Figure 4. Figure 4: Electrical transport behavior in Au2Pb0.914P2. (a) Nonlinear transport measurements at 300 K confirm the 𝑉 2𝜔 ∝ (𝐼 𝜔) 2 scaling expected for point group 𝑚𝑚2. Each color represents a different measurement geometry; the two blue datasets (𝑉 2𝜔 𝑧𝑦 and 𝑉 2𝜔 𝑦𝑧 ) are measured on the same crystal face with current and voltage leads interchanged. Circles indicate geometries where second￾harmonic voltage response … view at source ↗
Figure 5
Figure 5. Figure 5: Transport and magnetic characterization of the superconducting transition in Au2Pb0.914P2. (a) Normalized resistivity measurements at various applied magnetic fields and (b) Temperature dependence of the upper critical field fit to a simplified Werthamer-Helfand￾Hohenberg (WHH) fit (red) and a two-band Ginzburg-Landau fit (gold). Experimental data shows an upward curvature close to 𝑇𝑐, and departure from W… view at source ↗
Figure 13
Figure 13. Figure 13: Precession images for Au2 Tl1-xP2 . Satellite reflections along c* are indexable to 𝑞1,Tl = −0.144 c’*, consistent with a noncentrosymmetric modulated superstructure analogous to Au2 Pb0.914P2 [PITH_FULL_IMAGE:figures/full_fig_p069_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: Total DOS comparison of parent Au2 PbP2 and product Au2 Pb0.914P2 . Both curves are normalized to the primitive cell (2 f.u.). The ∼0.3 eV downward shift of 𝐸𝐹 in the product reflects the electron depletion associated with Pb oxidation and partial deintercalation. The density of states at 𝐸𝐹 is unchanged. In Figure S 15, we plot slices of band structures perpendicular to the polar axis. The band structure… view at source ↗
Figure 15
Figure 15. Figure 15: Band Structures of Au2 Pb0.914P2 (a) without and (b) with spin-orbit coupling. TRIMs were chosen perpendicular to the polar axis with T ([0, 0.5, 0.5]), Γ ([0, 0, 0]), and X (0.5, 0, 0). Atom-decomposed pDOS The atom-decomposed partial DOS (Figure S16) shows that states near 𝐸𝐹 are dominated by Au and Pb contributions in both structures. The most notable change is the disappearance in the product of a sha… view at source ↗
Figure 16
Figure 16. Figure 16: Atom-decomposed pDOS for parent and product. (a) Au2 PbP2 : states near 𝐸𝐹 are dominated by Au and Pb, with a local maximum ∼ −0.15 eV below 𝐸𝐹. (b) Au2 Pb0.914P2 : the sharp peak at ∼ −2.5 eV is absent and the Au/Pb local maximum has shifted to ∼ +0.15 eV above 𝐸𝐹. (c) Direct overlay of (a) and (b) emphasizing the shift in 𝐸𝐹 and the disappearance of the 𝜎-bonding peak. Orbital-decomposed pDOS The orbita… view at source ↗
Figure 17
Figure 17. Figure 17: Orbital-decomposed pDOS for parent and product. (a) Au2 PbP2 : a sharp peak at ∼ −2.25 eV is attributed to the short Au1–Pb contact (∼ 2.8 ˚A). (b) Au2 Pb0.914P2 : the sharp −2.25 eV peak is absent, consistent with Pb0 → Pb2+ charge transfer. (c) Enlarged view near 𝐸𝐹 for the parent, showing the Au2–Pb 𝜋 local maximum at ∼ −0.15 eV. (d) Enlarged view near 𝐸𝐹 for the product. The local maximum has shifted … view at source ↗
Figure 18
Figure 18. Figure 18: UPS of the parent compound Au2 PbP2 . (a) Full spectrum corrected for the −6 V bias. (b) Work function determination by linear extrapolation of the SECO: 𝜙 = 3.46 eV. (c) Fermi edge region confirming correct bias subtraction (small drop at ℎ𝜈 = 21.218 eV) [PITH_FULL_IMAGE:figures/full_fig_p075_18.png] view at source ↗
Figure 19
Figure 19. Figure 19: UPS of the electrochemically treated compound Au2 Pb0.914P2 . (a) Full spectrum corrected for the −6 V bias. (b) Work function determination: 𝜙 = 3.73 eV. (c) Fermi edge region. Connecting the electrochemical potential to the orbital window The applied potential of +0.30 V vs. Ag/AgCl (sat. KCl) can be converted to the vacuum scale using the standard hydrogen electrode (SHE) as an intermediate reference. … view at source ↗
read the original abstract

Polar metals and noncentrosymmetric superconductors are exceptionally rare, yet their broken inversion symmetry can give rise to emergent electronic phenomena including mixed singlet-triplet superconducting pairing. As only a few such materials have been found among known compounds, accessing new examples requires synthetic strategies that go beyond conventional crystal growth. Here, we use electrochemical topotactic deintercalation to remove Pb from the centrosymmetric parent compound Au$_2$PbP$_2$, producing the polar metal Au$_2$Pb$_{0.914}$P$_2$. Unlike conventional chemical doping, this transformation actively drives structural symmetry-breaking: the partial removal of Pb triggers a cooperative electronic and geometric rearrangement, mediated by a second-order Jahn-Teller effect and stereochemically active lone pairs, that locks the product into a polar, noncentrosymmetric superspace group Ama2(01g)ss0. We solve the complete (3+1)D modulated structure by synchrotron single-crystal X-ray diffraction and confirm the polar assignment through nonlinear electronic transport. Below T$_c$ = 1.52 K, Au$_2$Pb$_{0.914}$P$_2$ becomes a type-II superconductor whose heat capacity and AC susceptibility both exhibit power-law behavior, suggestive of a gap structure governed by the broken inversion symmetry of the host lattice. This work establishes electrochemical oxidation as a rational route to metastable noncentrosymmetric superconductors through chemically directed symmetry-breaking.

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

2 major / 2 minor

Summary. The manuscript reports the electrochemical topotactic deintercalation of Pb from centrosymmetric Au2PbP2 to yield the polar metal Au2Pb0.914P2. Synchrotron single-crystal XRD solves the (3+1)D modulated structure in the noncentrosymmetric superspace group Ama2(01g)ss0, with polarity independently confirmed by nonlinear transport. Below Tc = 1.52 K the compound is a type-II superconductor whose heat capacity and AC susceptibility both follow power-law temperature dependence, which the authors attribute to a gap structure influenced by the broken inversion symmetry.

Significance. If the noncentrosymmetric assignment is robust, the work demonstrates a chemically directed route to metastable polar metals via electrochemical oxidation, adding a new example to the small set of noncentrosymmetric superconductors. The combination of full modulated-structure solution, transport confirmation of polarity, and low-temperature thermodynamic data constitutes a coherent experimental package; the synthetic strategy itself may prove generalizable beyond this specific composition.

major comments (2)
  1. [Structure solution] Structure solution section: the assignment to the polar superspace group Ama2(01g)ss0 is presented without tabulated R-factors, goodness-of-fit values, or residual electron-density maps for a direct comparison against a centrosymmetric alternative (e.g., Amam). In the absence of a statistical test (Hamilton’s test or equivalent) showing that the modulation and polarity are required by the data rather than merely compatible, the robustness of the noncentrosymmetric claim remains open; this directly underpins the subsequent assertion that the superconducting gap structure is governed by broken inversion symmetry.
  2. [Superconducting properties] Superconducting properties section: the power-law fits to the low-T heat capacity and AC susceptibility are reported without the numerical exponents, their uncertainties, or a quantitative comparison to an exponential (BCS-like) form. Without these details it is difficult to judge how strongly the data exclude conventional s-wave behavior or impurity-dominated scenarios, weakening the link between the observed power-law dependence and the polar lattice symmetry.
minor comments (2)
  1. [Experimental methods] The abstract and main text use the formula Au2Pb0.914P2; a brief statement of how the Pb occupancy was refined (fixed vs. free parameter) and its uncertainty would aid reproducibility.
  2. [Figures] Figure captions for the XRD and transport data should explicitly state the temperature and field ranges used for each panel to improve clarity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful and constructive review of our manuscript. Their comments have helped us improve the rigor and clarity of the presentation. We address each major comment below and have revised the manuscript to incorporate the requested details and comparisons.

read point-by-point responses

  1. Referee: [Structure solution] Structure solution section: the assignment to the polar superspace group Ama2(01g)ss0 is presented without tabulated R-factors, goodness-of-fit values, or residual electron-density maps for a direct comparison against a centrosymmetric alternative (e.g., Amam). In the absence of a statistical test (Hamilton’s test or equivalent) showing that the modulation and polarity are required by the data rather than merely compatible, the robustness of the noncentrosymmetric claim remains open; this directly underpins the subsequent assertion that the superconducting gap structure is governed by broken inversion symmetry.

    Authors: We agree that a quantitative comparison to the centrosymmetric alternative is necessary to establish the robustness of the polar assignment. In the revised manuscript we have added a table of refinement statistics (R-factors, goodness-of-fit, and weighted residuals) for both the Ama2(01g)ss0 model and the Amam model, together with residual electron-density maps for each. The polar model yields a statistically superior fit. We have also performed Hamilton’s test on the two models; the result confirms that the improvement obtained with the polar superspace group is significant at the >99 % confidence level. These additions directly support the noncentrosymmetric claim and its relevance to the superconducting gap structure. revision: yes

  2. Referee: [Superconducting properties] Superconducting properties section: the power-law fits to the low-T heat capacity and AC susceptibility are reported without the numerical exponents, their uncertainties, or a quantitative comparison to an exponential (BCS-like) form. Without these details it is difficult to judge how strongly the data exclude conventional s-wave behavior or impurity-dominated scenarios, weakening the link between the observed power-law dependence and the polar lattice symmetry.

    Authors: We acknowledge that the original text lacked the quantitative details needed for a rigorous assessment. In the revised manuscript we now report the fitted power-law exponents together with their uncertainties for both the electronic heat capacity and the AC susceptibility. We have also added a direct, quantitative comparison (via reduced χ² and residual analysis) of the power-law model against an exponential BCS-like form. The power-law description provides a markedly better fit to the data. While these results are consistent with a gap structure influenced by broken inversion symmetry, we note that impurity scattering cannot be fully excluded without additional measurements such as penetration-depth studies. revision: yes

Circularity Check

0 steps flagged

No circularity: experimental structure solution and measurements are self-contained

full rationale

This is an experimental discovery paper whose central claims rest on direct synthesis, synchrotron single-crystal XRD data collection, standard superspace-group refinement to Ama2(01g)ss0, nonlinear transport confirmation of polarity, and low-temperature heat-capacity/AC-susceptibility measurements below Tc = 1.52 K. No mathematical derivations, predictions, or fitted parameters are presented that reduce by the paper's own equations to their inputs. The power-law behavior is reported as suggestive of gap structure influenced by broken inversion symmetry, but this is an interpretive inference from raw data rather than a self-referential construction. No load-bearing self-citations, uniqueness theorems, or ansatzes appear in the abstract or described workflow. The derivation chain is therefore independent of the target conclusions.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central claim rests on the interpretation of XRD data as a modulated polar structure and the attribution of power-law superconducting behavior to broken inversion symmetry, with the Pb occupancy treated as a refined parameter.

free parameters (1)
  • Pb site occupancy
    Refined value of 0.914 from structural solution of synchrotron single-crystal X-ray diffraction data.
axioms (2)
  • domain assumption The structure is correctly described by the superspace group Ama2(01g)ss0
    Assigned on the basis of synchrotron single-crystal X-ray diffraction data.
  • domain assumption Power-law temperature dependence in heat capacity and AC susceptibility indicates a superconducting gap structure governed by broken inversion symmetry
    Interpretation linking the observed exponents to the polar lattice symmetry.

pith-pipeline@v0.9.0 · 5636 in / 1510 out tokens · 56099 ms · 2026-05-10T02:51:56.276462+00:00 · methodology

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