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arxiv: 2604.04653 · v1 · submitted 2026-04-06 · ❄️ cond-mat.supr-con

Discovery of Quasi One Dimensional Superconductivity in PtPb3Bi

Shashank Srivastava , Yash Vardhan , Anshu Kataria , Pradyumna Bawankule , Poulami Manna , Prabin Kumar Naik , Rahul Verma , Rhea Stewart
show 6 more authors
James S. Lord Adrian D. Hillier Mathias S. Scheurer D. T. Adroja Bahadur Singh Ravi Prakash Singh
This is my paper

Pith reviewed 2026-05-10 19:21 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con
keywords quasi-1D superconductivityPtPb3Bitype II superconductors-wave pairingcharge density wavetopological superconductivitymuon spin rotationnontrivial band topology
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The pith

PtPb3Bi is a quasi one-dimensional material that superconducts below 3.01 K in a fully gapped isotropic s-wave state while preserving time-reversal symmetry and showing nontrivial band topology.

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

The paper presents PtPb3Bi as a new quasi one-dimensional compound that becomes superconducting. Transport, heat capacity, and muon spin rotation measurements establish type II superconductivity with moderate electron-phonon coupling and an isotropic fully gapped pairing state. Zero-field muon data show time-reversal symmetry remains intact, while calculations reveal Fermi surface nesting that drives a charge density wave at 280 K and nontrivial topology via Wannier charge centers. A reader would care because the combination of reduced dimensionality, superconductivity, and topology creates a platform where protected edge states could appear.

Core claim

PtPb3Bi exhibits type II superconductivity below 3.01(1) K. Heat capacity and transverse field muon spin rotation relaxation measurements demonstrate a fully gapped isotropic s-wave state with moderate electron phonon coupling, while zero field muon spin rotation confirms the preservation of time reversal symmetry. Transport measurements reveal low carrier mobility with diffusive normal state transport. Electronic structure calculations show strong dispersion along the quasi 1D direction and relatively flatter bands in the transverse plane, giving rise to pronounced Fermi surface nesting in the kx-ky plane. Consistent with this, the compound undergoes a charge density wave transition at 280(

What carries the argument

Quasi one-dimensional crystal structure that produces Fermi surface nesting and allows electronic structure calculations to establish nontrivial band topology through the flow of Wannier charge centers.

If this is right

  • The material is a type II superconductor with critical temperature 3.01 K.
  • The superconducting state has a fully gapped isotropic s-wave pairing symmetry.
  • Time reversal symmetry is preserved through the superconducting transition.
  • A charge density wave forms at 280 K due to nesting in the transverse Fermi surface.
  • Nontrivial band topology positions the material as a candidate for topological superconductivity.

Where Pith is reading between the lines

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

  • Other bismuth-based quasi-one-dimensional compounds may display similar coexistence of superconductivity and charge density wave order.
  • Defect or edge states in this material could be examined for signatures of topological protection once single crystals are available.
  • The diffusive normal-state transport opens the possibility to study how the charge density wave influences the superconducting transition temperature.

Load-bearing premise

The muon spin rotation relaxation rates and heat capacity data are interpreted as evidence for a fully gapped isotropic s-wave state rather than nodes or other gap symmetries.

What would settle it

Observation of power-law behavior in the low-temperature heat capacity or muon relaxation rates that indicates gap nodes, or detection of spontaneous magnetic fields in zero-field muon spin rotation that indicate time-reversal symmetry breaking, would falsify the fully gapped isotropic s-wave claim.

Figures

Figures reproduced from arXiv: 2604.04653 by Adrian D. Hillier, Anshu Kataria, Bahadur Singh, D. T. Adroja, James S. Lord, Mathias S. Scheurer, Poulami Manna, Prabin Kumar Naik, Pradyumna Bawankule, Rahul Verma, Ravi Prakash Singh, Rhea Stewart, Shashank Srivastava, Yash Vardhan.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: (a) shows the calculated Fermi surface, which consists of multiple pockets and sheets. Fermi band con￾tours in the kx-ky plane evolve from complex shapes to nearly planar sheets at kz = π/c ( [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] 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

Quasi one dimensional materials provide a compelling platform where reduced dimensionality stabilizes intertwined topological and superconducting phases. Here we report superconductivity in a new Bi based quasi 1D compound, PtPb3Bi, which hosts a nontrivial electronic structure. It exhibits type II superconductivity below 3.01(1) K. Heat capacity and transverse field muon spin rotation relaxation (muSR) measurements demonstrate a fully gapped isotropic s wave state with moderate electron phonon coupling, while zero field muSR confirms the preservation of time reversal symmetry (TRS). Transport measurements reveal low carrier mobility with diffusive normal state transport. Electronic structure calculations show strong dispersion along the quasi 1D direction and relatively flatter bands in the transverse plane, giving rise to pronounced Fermi surface nesting in the kx-ky plane. Consistent with this, the compound undergoes a charge density wave transition at 280(1) K. The flow of Wannier charge centers, together with surface state dispersion, establishes nontrivial band topology. These results identify PtPb3Bi as a new quasi 1D superconductor with nontrivial electronic structure and a promising candidate for topological superconductivity.

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 discovery of type-II superconductivity in the new quasi-1D compound PtPb3Bi below Tc = 3.01(1) K. Heat-capacity and transverse-field μSR data are interpreted as establishing a fully gapped isotropic s-wave state with moderate electron-phonon coupling; zero-field μSR shows time-reversal symmetry is preserved. Transport measurements indicate diffusive normal-state behavior with low mobility. DFT calculations reveal strong dispersion along the chain direction, kx-ky Fermi-surface nesting consistent with a CDW transition at 280 K, and nontrivial band topology via Wannier charge-center flow and surface-state dispersion, positioning the material as a candidate for topological superconductivity.

Significance. If the gap-structure and topology claims hold, the work adds a new quasi-1D platform combining superconductivity, CDW order, and nontrivial bands, useful for exploring intertwined phases and potential topological superconductivity. The multi-probe experimental approach (heat capacity, TF- and ZF-μSR, transport) together with electronic-structure calculations provides a reasonably broad characterization of the normal and superconducting states.

major comments (2)
  1. [Abstract and gap-analysis sections] The interpretation that heat-capacity and TF-μSR data establish a fully gapped isotropic s-wave state (Abstract and the corresponding experimental sections) rests on fits to the standard BCS exponential form and London-model penetration depth without reported comparisons to nodal, anisotropic-s, or d-wave models. In a quasi-1D system with pronounced kx-ky nesting, such alternatives can produce apparently exponential low-T behavior over limited temperature windows; explicit model comparisons or field-angle-dependent measurements are needed to substantiate the isotropy and nodeless conclusions.
  2. [Abstract and topology discussion] The claim that the material is a promising candidate for topological superconductivity (Abstract) is based on nontrivial band topology plus s-wave pairing, but the manuscript does not address whether the observed pairing symmetry on the calculated Fermi surfaces would actually produce a topological superconducting state (e.g., via parity or winding-number analysis). This link is load-bearing for the final positioning of the result.
minor comments (2)
  1. [Abstract and throughout] Notation for 's wave' and 'quasi 1D' is inconsistent between abstract and main text; standardize to 's-wave' and 'quasi-1D'.
  2. [Experimental data figures and analysis] Error bars and fit-quality metrics (χ², residuals) for the heat-capacity and μSR gap fits should be shown explicitly to allow assessment of the exponential vs. power-law discrimination.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their positive assessment of the work and for the constructive comments on the gap analysis and topological claims. We address each major comment below and outline the revisions to be made.

read point-by-point responses

  1. Referee: [Abstract and gap-analysis sections] The interpretation that heat-capacity and TF-μSR data establish a fully gapped isotropic s-wave state (Abstract and the corresponding experimental sections) rests on fits to the standard BCS exponential form and London-model penetration depth without reported comparisons to nodal, anisotropic-s, or d-wave models. In a quasi-1D system with pronounced kx-ky nesting, such alternatives can produce apparently exponential low-T behavior over limited temperature windows; explicit model comparisons or field-angle-dependent measurements are needed to substantiate the isotropy and nodeless conclusions.

    Authors: We agree that explicit comparisons to alternative gap structures would strengthen the conclusions, particularly given the quasi-1D Fermi-surface nesting. In the revised manuscript we will add fits of the low-temperature heat-capacity and TF-μSR superfluid-density data to both d-wave and anisotropic s-wave models, demonstrating that these yield systematically poorer agreement than the isotropic s-wave form over the measured range. Field-angle-dependent measurements were not performed in the present study; we will note this experimental limitation while emphasizing that the combination of thermodynamic and μSR data, together with the new model comparisons, supports the nodeless isotropic interpretation. revision: partial

  2. Referee: [Abstract and topology discussion] The claim that the material is a promising candidate for topological superconductivity (Abstract) is based on nontrivial band topology plus s-wave pairing, but the manuscript does not address whether the observed pairing symmetry on the calculated Fermi surfaces would actually produce a topological superconducting state (e.g., via parity or winding-number analysis). This link is load-bearing for the final positioning of the result.

    Authors: We acknowledge that the manuscript does not carry out parity or winding-number calculations to verify whether s-wave pairing on the computed Fermi surfaces yields a topological superconducting state. Such an analysis would require a microscopic pairing model and lies outside the scope of the current discovery and characterization study. We will revise the abstract and discussion to describe PtPb3Bi more cautiously as a quasi-1D superconductor with nontrivial band topology that constitutes a promising platform for future investigations of topological superconductivity, thereby removing the load-bearing claim while preserving the scientific motivation. revision: yes

Circularity Check

0 steps flagged

No significant circularity in experimental claims or standard analysis

full rationale

The paper reports direct experimental measurements of the superconducting transition (Tc = 3.01 K) via resistivity, heat capacity, and both TF- and ZF-muSR, interpreted using established London and BCS models for gap symmetry and TRS preservation. Band topology follows from standard DFT calculations of Wannier charge centers and surface states. No derivation step reduces by construction to a fitted parameter renamed as a prediction, a self-definitional loop, or a load-bearing self-citation chain. The central claims rest on independent data and conventional fitting procedures without re-using the target quantities as inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on standard interpretations of muSR and heat capacity data plus DFT calculations; no explicit free parameters are introduced in the abstract, and no new entities are postulated.

axioms (2)
  • domain assumption Standard analysis of transverse-field muSR relaxation rates indicates a fully gapped isotropic s-wave superconducting state
    Invoked to conclude the gap structure from the reported measurements.
  • standard math DFT band-structure calculations and Wannier charge center flow reliably establish nontrivial topology
    Used for the electronic structure and topology conclusions.

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