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arxiv: 2511.06926 · v3 · submitted 2025-11-10 · ❄️ cond-mat.mtrl-sci · physics.comp-ph

Challenges in predicting positron annihilation lifetimes in lead halide perovskites: correlation functionals and polymorphism

Kajal Madaan , Guido Roma , Jasurbek Gulomov , Pascal Pochet , Catherine Corbel , Ilja Makkonen This is my paper

Pith reviewed 2026-05-17 23:59 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci physics.comp-ph
keywords positron annihilationlead halide perovskiteselectron-positron correlationcation vacanciespolymorphismMAPbI3Voronoi volumes
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The pith

The choice of electron-positron correlation functional strongly affects predicted positron annihilation lifetimes in lead halide perovskites, especially for cation vacancies.

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

This paper compares several approximations for the electron-positron correlation potential when computing positron annihilation lifetimes in methylammonium lead iodide and inorganic perovskites such as CsPbI3 and CsPbBr3, both with and without vacancies. The calculations cover different crystal phases and examine how lifetimes relate to the size of available voids through Voronoi volumes. The central finding is that the functional choice produces much larger variations in these materials than in metals or conventional semiconductors, particularly for A-site cation vacancies. This sensitivity raises the possibility that earlier interpretations of experimental lifetime data in halide perovskites require revision.

Core claim

In lead halide perovskites the positron annihilation lifetimes calculated for cation vacancies depend critically on the chosen electron-positron correlation functional, with differences far larger than those encountered in metals, alloys, or conventional semiconductors; the weighted density approximation and various semi-local forms are compared directly, and the results indicate that experimental lifetime assignments for these materials may need to be reconsidered.

What carries the argument

The electron-positron correlation functional (semi-local forms and the non-local weighted density approximation) that determines the positron's interaction with the spatially varying electron density inside the perovskite lattice.

Load-bearing premise

The differences among calculated lifetimes arise mainly from the choice of electron-positron correlation functional rather than from supercell size, k-point sampling, or the modeling of organic-cation motion.

What would settle it

Precise experimental positron lifetime spectra recorded on well-characterized lead halide perovskite crystals whose dominant vacancy type and concentration have been established by an independent method such as electron microscopy or Hall measurements.

Figures

Figures reproduced from arXiv: 2511.06926 by Catherine Corbel, Guido Roma, Ilja Makkonen, Jasurbek Gulomov, Kajal Madaan, Pascal Pochet.

Figure 1
Figure 1. Figure 1: FIG. 1. Calculated positron lifetimes for the pristine phases of MAPbI [PITH_FULL_IMAGE:figures/full_fig_p012_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Comparison of lifetimes in tetragonal MAPbI [PITH_FULL_IMAGE:figures/full_fig_p015_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Comparison of electron (red) and positron (blue) charge density isosurfaces for the pristine tetragonal [PITH_FULL_IMAGE:figures/full_fig_p016_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Influence of the chosen value of the WDA screening charge Q on the calculated positron lifetimes [PITH_FULL_IMAGE:figures/full_fig_p018_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Positron lifetime in lead and methylammonium vacancies, with the B15-GGA approximation, as [PITH_FULL_IMAGE:figures/full_fig_p020_5.png] view at source ↗
read the original abstract

Halide perovskites have emerged in the last decade as a new important class of semiconductors for a variety of optoelectronic applications. A lot of previous studies were thus devoted to the characterisation of their point defects. Positron annihilation spectroscopy is a well recognized tool for probing vacancies in materials. Recent applications of this technique to APbX$_3$ halide perovskites are sparse, and the rare theoretical predictions of positron lifetimes in these materials, published in association with experiments, do not fully agree with each other. These works suggest that vacancies on the A site are not detected. In our theoretical study we focus on the role of the electron-positron correlation functional. We thoroughly revisit and compare several approximations when applied to methylammonium lead iodide (MAPbI$_3$) with or without vacancies, as well as inorganic perovskites CsPbI$_3$ and CsPbBr$_3$, in various phases. We show also the relationship between the size of the voids, through Voronoi volumes, and the calculated lifetimes. For the cubic phases we investigate in detail the role of polymorphism, including the distribution of vacancy formation energies and positron annihilation lifetimes. In our lifetimes calculations, apart from older and more recent semi-local approximations for the electron-positron correlation potential, we also consider the weighted density approximation (WDA), which is truly non-local and should better describe positron annihilation in regions with strong electronic density variations. We show that for this class of materials, and especially for cations vacancies, the influence of the chosen approximation is crucial, much stronger than in metals, alloys and conventional semiconductors. This influence may induce to reconsider the interpretation of experimentally determined lifetimes.

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 examines the sensitivity of positron annihilation lifetime calculations to the choice of electron-positron correlation functional in lead halide perovskites (MAPbI₃, CsPbI₃, CsPbBr₃). It compares semi-local approximations with the weighted density approximation (WDA) for systems with and without vacancies, across multiple phases, and relates computed lifetimes to Voronoi volumes of voids. The central claim is that functional choice exerts a much stronger influence on lifetimes—especially for A-site cation vacancies—than observed in metals, alloys, or conventional semiconductors, potentially requiring reinterpretation of experimental data. Polymorphism effects in cubic phases are also analyzed.

Significance. If the attribution of lifetime variations primarily to the correlation functional is substantiated, the work would demonstrate that non-local treatments such as WDA are essential for reliable positron lifetime predictions in hybrid perovskites with large voids and strong density gradients. This could refine defect identification via positron annihilation spectroscopy in optoelectronic materials and caution against over-reliance on semi-local functionals in systems with pronounced structural complexity.

major comments (2)
  1. [Computational Methods] Computational Methods section: The manuscript must demonstrate that supercell sizes, k-point meshes, ionic relaxation criteria, and basis-set parameters were converged to identical tolerances for every functional and every polymorph/phase. Without such uniform controls, the reported strong functional dependence on lifetimes (particularly for cation vacancies) cannot be unambiguously separated from possible artifacts arising from inconsistent technical settings in materials known to be sensitive to void volume and organic-cation dynamics.
  2. [Results] Results on vacancy lifetimes (likely §4 or equivalent): Direct numerical tables comparing lifetimes across functionals for the same supercell and k-point settings should be presented, together with estimated uncertainties from convergence tests. The claim that the functional influence is “much stronger than in metals, alloys and conventional semiconductors” requires explicit side-by-side benchmarks against at least one reference material computed with the identical protocol.
minor comments (2)
  1. [Figures] Figure captions and text should explicitly state the supercell size and k-point sampling used for each reported lifetime value to allow immediate assessment of consistency.
  2. [Discussion] The relationship between Voronoi volumes and lifetimes is interesting but would benefit from a quantitative correlation plot or fit parameter in the main text rather than only qualitative discussion.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful and constructive review of our manuscript. We address each major comment below and describe the revisions that will be incorporated to strengthen the presentation and support for our claims.

read point-by-point responses

  1. Referee: [Computational Methods] Computational Methods section: The manuscript must demonstrate that supercell sizes, k-point meshes, ionic relaxation criteria, and basis-set parameters were converged to identical tolerances for every functional and every polymorph/phase. Without such uniform controls, the reported strong functional dependence on lifetimes (particularly for cation vacancies) cannot be unambiguously separated from possible artifacts arising from inconsistent technical settings in materials known to be sensitive to void volume and organic-cation dynamics.

    Authors: We agree that uniform convergence settings across all calculations are essential to isolate the influence of the electron-positron correlation functional. Our original calculations employed identical supercell sizes, k-point meshes, ionic relaxation criteria, and basis-set parameters for every functional and every phase/polymorph. In the revised manuscript we will expand the Computational Methods section with an explicit statement of these shared parameters and add a summary table listing the settings used for each system and functional, together with representative convergence tests confirming that the chosen tolerances were met uniformly. revision: yes

  2. Referee: [Results] Results on vacancy lifetimes (likely §4 or equivalent): Direct numerical tables comparing lifetimes across functionals for the same supercell and k-point settings should be presented, together with estimated uncertainties from convergence tests. The claim that the functional influence is “much stronger than in metals, alloys and conventional semiconductors” requires explicit side-by-side benchmarks against at least one reference material computed with the identical protocol.

    Authors: We accept that a consolidated table would improve clarity and verifiability. We will add a new table in the Results section that compiles all computed positron lifetimes for the different functionals, vacancy types, and phases, all obtained with the same supercell and k-point settings, and will include estimated uncertainties based on our convergence tests. For the comparative claim, our statement is grounded in published lifetime differences reported for metals, alloys, and conventional semiconductors; however, to address the request for an identical-protocol benchmark we will either (i) perform a limited test calculation on a simple reference system such as bulk silicon using our current setup or (ii) qualify the claim more precisely by direct reference to the literature values while noting the protocol differences. We therefore mark this revision as partial pending feasibility of new calculations within the revision period. revision: partial

Circularity Check

0 steps flagged

No significant circularity: direct first-principles comparison of functionals

full rationale

The paper reports explicit DFT-based computations of positron lifetimes in MAPbI3, CsPbI3 and CsPbBr3 using multiple electron-positron correlation approximations (semi-local and WDA) together with Voronoi-volume analysis. No parameters are fitted to experimental lifetimes and then re-predicted; no equations reduce to self-definition; no load-bearing self-citation chain is invoked to justify the central claim. The reported functional dependence is therefore an output of the calculations rather than an input by construction, rendering the derivation self-contained.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The calculations rest on standard density-functional theory for the electronic structure and on established approximations for the positron-electron correlation; no new entities are postulated and no parameters are fitted to the target lifetimes.

axioms (1)
  • domain assumption Electron-positron correlation can be approximated by semi-local or weighted-density functionals within a DFT framework
    Invoked throughout the lifetime calculations for all phases and defect configurations.

pith-pipeline@v0.9.0 · 5628 in / 1363 out tokens · 43525 ms · 2026-05-17T23:59:55.544769+00:00 · methodology

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