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arxiv: 2607.01052 · v1 · pith:SXH7RYXJnew · submitted 2026-07-01 · ❄️ cond-mat.supr-con · cond-mat.mes-hall· cond-mat.str-el

Breathing mode inducing dynamical pairing in Kagome materials

Debmalya Chakraborty , Anushree Datta , Jorge Cayao This is my paper

Pith reviewed 2026-07-02 04:15 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mes-hallcond-mat.str-el
keywords kagome superconductorsbreathing modeodd-frequency pairingdynamical Cooper pairss-wave superconductivityinversion symmetry breakingspin-singlet pairs
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The pith

Breathing mode in Kagome lattices converts conventional s-wave superconductivity into odd-frequency dynamical Cooper pairs.

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

The paper classifies all possible superconducting symmetries in Kagome systems and isolates the breathing mode as the driver that produces odd-frequency dynamical Cooper pairs. This conversion occurs in lattices that start with ordinary spin-singlet s-wave pairing once the breathing mode breaks inversion symmetry. A reader would care because the result supplies a concrete structural handle for creating time-nonlocal pairing states without changing the microscopic pairing interaction. The work therefore links a normal-state lattice distortion directly to a qualitatively different superconducting order parameter.

Core claim

The breathing mode breaks inversion symmetry and serves as the sole driver that converts conventional spin-singlet s-wave pairing into odd-frequency dynamical Cooper pairs. Controlling the amplitude of this mode in a Kagome lattice therefore realizes odd-frequency spin-singlet pairs on top of an otherwise standard s-wave superconductor.

What carries the argument

The breathing mode, a structural modulation that breaks inversion symmetry and supplies the sole source of odd-frequency dynamical pairing.

If this is right

  • Odd-frequency spin-singlet Cooper pairs appear in any Kagome superconductor once the breathing mode is present, even if the microscopic interaction remains s-wave.
  • Tuning the breathing-mode amplitude provides a direct experimental knob for switching the dynamical pairing component on and off.
  • The full symmetry classification shows that the breathing mode mixes conventional even-frequency channels into odd-frequency channels without additional interactions.
  • Dynamical pairing emerges entirely from the normal-state structural modulation rather than from any change in the pairing glue.

Where Pith is reading between the lines

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

  • The same breathing-mode mechanism could be tested in other inversion-breaking distortions of Kagome lattices to map the range of accessible dynamical orders.
  • Material-specific calculations of breathing-mode strength versus temperature or doping would give concrete targets for observing the predicted pairs.
  • The nonlocal-in-time character implies that time-resolved probes sensitive to pairing dynamics should show signatures unique to the breathing-mode case.

Load-bearing premise

The breathing mode alone, through inversion-symmetry breaking, converts ordinary s-wave pairing into odd-frequency dynamical pairs with no other mechanism required.

What would settle it

Spectroscopic or tunneling measurements that detect odd-frequency components in the pairing function when the breathing mode is active but their complete absence when the mode is suppressed by pressure or strain.

Figures

Figures reproduced from arXiv: 2607.01052 by Anushree Datta, Debmalya Chakraborty, Jorge Cayao.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Sketch of a pristine regular kagome lattice (yellow) [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Energy bands of the normal state Hamiltonian [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a-c) Spectral function, ESEE and OSEO pair am [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
read the original abstract

The breathing mode in Kagome materials is a structural modulation that breaks inversion symmetry and has been shown to be a crucial source for intriguing phases in the normal state. In this work, we carry out a full classification of superconducting symmetries in kagome superconductors and demonstrate the emergence of odd-frequency dynamical Cooper pairs entirely driven by the breathing mode. We then show that odd-frequency spin-singlet Cooper pairs can be realized by controlling the breathing mode in kagome lattices with conventional spin-singlet $s$-wave superconductivity. Since odd-frequency pairing is intrinsically nonlocal in time, our results put forward the breathing mode for designing dynamical Cooper pairs in kagome materials.

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 paper performs a symmetry classification of superconducting states in kagome lattices and claims that the breathing mode, by breaking inversion symmetry, induces odd-frequency dynamical Cooper pairs from an underlying conventional spin-singlet s-wave pairing. It further asserts that odd-frequency spin-singlet pairs can be realized by tuning the breathing-mode amplitude.

Significance. If the central derivation is correct, the result supplies a concrete, tunable mechanism for generating time-nonlocal pairing in a material class already known for breathing-mode physics in the normal state. Explicit verification that the odd-frequency channel vanishes identically at zero breathing amplitude would strengthen the claim of an 'entirely driven' effect and could guide experimental searches for dynamical pairing.

major comments (2)
  1. [Symmetry classification / pairing decomposition] The symmetry classification (presumably the section presenting the irreducible representations or the pairing-function decomposition) must explicitly demonstrate that the odd-frequency spin-singlet component is identically zero when the breathing-mode amplitude is set to zero while the even-frequency s-wave component remains finite. Without this control limit, the statement that the odd-frequency pairs are 'entirely driven' by the breathing mode remains an assumption rather than a derived result.
  2. [Hamiltonian and pairing kernel] If the lattice Hamiltonian is written with a breathing-mode term (e.g., a modulation of nearest-neighbor hoppings that breaks inversion), the subsequent derivation of the anomalous Green's function or the pairing kernel should include the explicit zero-amplitude limit to confirm the odd-frequency component vanishes. This check is load-bearing for the exclusivity claim in the abstract.
minor comments (2)
  1. Notation for the breathing-mode amplitude and its coupling to the pairing channel should be introduced once and used consistently; multiple symbols for the same quantity reduce clarity.
  2. The abstract states that odd-frequency pairs are 'realized by controlling the breathing mode'; a brief remark on the expected experimental signature (e.g., frequency-dependent response or nonlocal tunneling) would help readers assess testability.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract supplies no explicit free parameters, axioms, or invented entities; the breathing mode is treated as an external structural input whose symmetry-breaking effect is taken as given.

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discussion (0)

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