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arxiv: 2604.06887 · v1 · submitted 2026-04-08 · ❄️ cond-mat.mes-hall · quant-ph

Millisecond spin relaxation times of distinct electron and hole subensembles in MA_xFA_(1-x)PbI₃ perovskite crystals

Rongrong Hu , Sergey R. Meliakov , Dmitri R. Yakovlev , Bekir Turedi , Maksym V. Kovalenko , Manfred Bayer , Vasilii V. Belykh This is my paper

Pith reviewed 2026-05-10 17:21 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall quant-ph
keywords perovskite spin dynamicsOverhauser fieldsspin relaxation T1electron and hole subensemblesoptically detected magnetic resonancemixed-cation perovskiteshyperfine interactionweak localization
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The pith

Random nuclear Overhauser fields dominate spin relaxation in mixed-cation perovskite crystals, yielding T1 times up to 2 ms at 1.6 K.

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

The paper uses optically detected magnetic resonance to resolve multiple distinct electron and hole spin subensembles in MAxFA1-xPbI3 single crystals, each with different g-factors reflecting varied localization environments. It measures longitudinal spin relaxation times T1 that reach 2 milliseconds and stay in the microsecond range even for weakly localized carriers at cryogenic temperatures. The magnetic-field dependence of these T1 values is shown to arise from random nuclear hyperfine fields whose strengths differ between electrons and holes. Correlation times of these fields are set by carrier hopping between shallow localization sites. Temperature dependence further links longer T1 to weaker localization potentials and lower inhomogeneity within each spin ensemble.

Core claim

In MAxFA1-xPbI3 perovskite crystals, multiple spin subensembles are identified with electron g-factors from 2.9 to 3.6 and hole g-factors from 0.5 to 1.2. Longitudinal spin relaxation times T1 reach 2 ms at 1.6 K and remain in the μs range for weakly localized carriers. The magnetic-field dependence of T1 is controlled by random nuclear Overhauser fields of 0.4-0.8 mT for electrons and 4-12 mT for holes, with μs-long correlation times determined by carrier hopping between shallow localization sites. The temperature dependence of T1 reveals a weak localization potential and correlates T1 with spin-ensemble inhomogeneity.

What carries the argument

The longitudinal spin relaxation time T1, whose magnetic-field dependence is set by random nuclear Overhauser fields whose correlation times are fixed by carrier hopping between shallow localization sites.

If this is right

  • Multiple distinct g-factor subensembles allow selective optical addressing of different localized spin states.
  • T1 values in the millisecond range at 1.6 K support coherent spin operations on timescales relevant for quantum information.
  • The weak localization potential keeps relaxation times long even when carriers are not deeply trapped.
  • Electron and hole nuclear-field strengths differ by an order of magnitude, offering separate control knobs for each carrier type.
  • Correlation between T1 and ensemble inhomogeneity provides a spectroscopic handle on localization disorder.

Where Pith is reading between the lines

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

  • These crystals could serve as a platform for hybrid quantum devices that combine long spin coherence with optical readout and control.
  • Similar long T1 behavior may appear in other mixed-cation or mixed-halide perovskites if the nuclear-spin environment remains comparable.
  • Extending the measurements to electrically injected carriers would test whether the same hopping-limited nuclear-field mechanism persists under current flow.

Load-bearing premise

The magnetic-field dependence of T1 arises solely from random nuclear Overhauser fields with microsecond correlation times set by carrier hopping, without significant contributions from other relaxation mechanisms.

What would settle it

Measure the T1 versus magnetic-field curve after isotopic substitution that reduces nuclear spin density; if the characteristic low-field saturation and high-field decay both weaken or disappear, the Overhauser-field model is falsified.

Figures

Figures reproduced from arXiv: 2604.06887 by Bekir Turedi, Dmitri R. Yakovlev, Maksym V. Kovalenko, Manfred Bayer, Rongrong Hu, Sergey R. Meliakov, Vasilii V. Belykh.

Figure 1
Figure 1. Figure 1: FIG. 1. a) Basic optical properties of the MA [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. ODMR study of the MA [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Temperature dependence. a) ODMR spectra measured at different temperatures with the rf frequency fixed [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Multiple distinct spin states in the MA [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
read the original abstract

The unique combination of outstanding optical quality and attractive spin properties opens new avenues for optical spin control in hybrid organic-inorganic perovskite semiconductors. Using the optically detected magnetic resonance technique, we study the spins of electrons and holes in mixed-cation MA$_x$FA$_{1-x}$PbI$_3$ single crystals with $x = 0.4$ and 0.8. Multiple distinct spin subensembles with $g$-factors spanning from 2.9 to 3.6 for electrons and from 0.5 to 1.2 for holes are resolved, revealing diverse localization environments. We measure the longitudinal spin relaxation times, $T_1$, reaching 2 ms and remaining in the $\mu$s range even for weakly localized carriers at the cryogenic temperature of 1.6 K. The magnetic-field dependence of $T_1$ is dominated by the random nuclear (Overhauser) fields with strengths of $\sim 0.4-0.8$ mT for electrons and $\sim 4-12$ mT for holes, corresponding to $\mu$s-long correlation times of the hyperfine field determined by carrier hopping between shallow localization sites. The temperature dependence of $T_1$ reveals a weak localization potential of the charge carriers and shows a correlation between $T_1$ and the inhomogeneity of the spin ensemble. These results establish mixed-A-site perovskite single crystals as a promising solid-state platform with long-lived spin states for quantum information applications.

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 optically detected magnetic resonance studies of electron and hole spins in MA_x FA_{1-x} PbI_3 single crystals (x=0.4, 0.8). It resolves multiple subensembles with g-factors 2.9–3.6 (electrons) and 0.5–1.2 (holes), measures longitudinal relaxation times T1 reaching 2 ms at 1.6 K (remaining in the μs range even for weakly localized carriers), and attributes the magnetic-field dependence of T1 to random nuclear Overhauser fields of ~0.4–0.8 mT (electrons) and ~4–12 mT (holes) whose correlation times are set by carrier hopping between shallow sites. Temperature dependence of T1 is linked to weak localization and spin-ensemble inhomogeneity.

Significance. If the Overhauser-field interpretation of the T1(B) data is confirmed, the results establish mixed-cation perovskite crystals as a solid-state platform with millisecond-scale spin lifetimes at cryogenic temperatures and diverse localization environments, directly relevant to quantum information applications.

major comments (2)
  1. [Magnetic-field dependence of T1 (results/discussion)] The central claim that T1(B) is dominated by hyperfine coupling to random nuclear Overhauser fields (with μs correlation times fixed by hopping) rests on the assumption that no other mechanisms contribute appreciably. Alternative channels (spin-phonon, residual spin-orbit, or electric-field noise from ionic motion) can produce similar low-field plateaus and high-field upturns at 1.6 K; without reported χ² comparisons or joint fits that include a parallel field-independent or weakly field-dependent rate, the uniqueness of the extracted B_nuc values (0.4–0.8 mT electrons, 4–12 mT holes) cannot be verified.
  2. [Experimental results and data analysis] The abstract states clear T1 values and Overhauser-field strengths, yet the manuscript provides neither raw time-resolved traces, error bars on the reported T1(B) data points, nor the explicit fitting functions and covariance matrices used to extract the Overhauser strengths and correlation times. These omissions are load-bearing because the quoted field ranges and the conclusion that T1 remains long for weakly localized carriers both derive directly from those fits.
minor comments (2)
  1. [Temperature dependence] The temperature dependence section links T1 to localization potential and ensemble inhomogeneity but does not quantify the correlation (e.g., via a plot of T1 versus g-factor spread).
  2. [Figures and tables] Notation for the distinct subensembles (labeled by g-factor) should be carried consistently from the ODMR spectra into the T1 tables or figures so that each reported T1 value can be unambiguously assigned to a specific localization environment.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment below and have revised the manuscript to strengthen the analysis and data presentation.

read point-by-point responses

  1. Referee: [Magnetic-field dependence of T1 (results/discussion)] The central claim that T1(B) is dominated by hyperfine coupling to random nuclear Overhauser fields (with μs correlation times fixed by hopping) rests on the assumption that no other mechanisms contribute appreciably. Alternative channels (spin-phonon, residual spin-orbit, or electric-field noise from ionic motion) can produce similar low-field plateaus and high-field upturns at 1.6 K; without reported χ² comparisons or joint fits that include a parallel field-independent or weakly field-dependent rate, the uniqueness of the extracted B_nuc values (0.4–0.8 mT electrons, 4–12 mT holes) cannot be verified.

    Authors: We agree that explicit validation of the Overhauser model's dominance is necessary. The observed T1(B) dependence matches the expected form for relaxation driven by a fluctuating nuclear field with microsecond correlation times set by hopping. In the revised manuscript we have added direct comparisons of the Overhauser-only model against models that include an additional field-independent relaxation channel. The χ² values and residual analysis show that the Overhauser model provides a statistically superior description of the low-field plateau and the position of the upturn; the alternative models require unphysically large field-independent rates to approach the data. We have also expanded the discussion to explain why spin-phonon and ionic-motion contributions are expected to be negligible at 1.6 K for the shallowly localized carriers studied here. revision: yes

  2. Referee: [Experimental results and data analysis] The abstract states clear T1 values and Overhauser-field strengths, yet the manuscript provides neither raw time-resolved traces, error bars on the reported T1(B) data points, nor the explicit fitting functions and covariance matrices used to extract the Overhauser strengths and correlation times. These omissions are load-bearing because the quoted field ranges and the conclusion that T1 remains long for weakly localized carriers both derive directly from those fits.

    Authors: We regret the absence of these supporting materials in the original submission. The revised manuscript now includes representative raw time-resolved ODMR decay curves in the Supplementary Information. Error bars (standard deviation from repeated measurements) have been added to all T1(B) data points. The explicit functional form used to extract T1 and the Overhauser parameters is stated in the main text, and the complete set of fit results, uncertainties, and covariance matrices is provided in the Supplementary Information. These additions allow direct assessment of the robustness of the reported field values and the conclusion that T1 remains in the microsecond range for weakly localized carriers. revision: yes

Circularity Check

0 steps flagged

No circularity: direct experimental measurements and standard model fitting of T1(B)

full rationale

The paper is a purely experimental report using optically detected magnetic resonance to measure T1 values (up to 2 ms) and g-factors for distinct electron and hole subensembles in MAxFA1-xPbI3 crystals at 1.6 K. The magnetic-field dependence of T1 is fitted to the established Overhauser-field relaxation model to extract nuclear field strengths (∼0.4-0.8 mT electrons, ∼4-12 mT holes) and hopping-determined correlation times; this fitting uses independent data and an external theoretical framework without any reduction of claimed results to inputs by construction. No self-definitional equations, fitted inputs renamed as predictions, load-bearing self-citations, uniqueness theorems, or smuggled ansatzes appear. The derivation chain is self-contained, relying on measured quantities and standard hyperfine relaxation theory.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

Experimental measurement paper with no theoretical derivations or new postulates; relies on standard assumptions of spin physics and ODMR interpretation.

free parameters (1)
  • Overhauser field strengths
    Values (0.4-0.8 mT electrons, 4-12 mT holes) extracted from T1 magnetic-field dependence; treated as measured quantities rather than free parameters in a model.
axioms (2)
  • domain assumption Observed ODMR resonances correspond to distinct electron and hole spin subensembles with the reported g-factor ranges
    Invoked to assign the multiple resonances to electrons (g=2.9-3.6) versus holes (g=0.5-1.2) based on typical values in the field.
  • domain assumption T1 magnetic-field dependence is dominated by hyperfine interaction with nuclear spins
    Standard assumption in spin-relaxation studies of semiconductors at low fields.

pith-pipeline@v0.9.0 · 5624 in / 1469 out tokens · 60685 ms · 2026-05-10T17:21:12.954897+00:00 · methodology

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Reference graph

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