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Second-harmonic signal in electric-field-modulated EPR spectra of Fe3 spin triangles

T0 review · 2 major / 5 minor · reviewed 2026-07-10 · grok-4.5

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Pith's one-line read Fe3 spin-triangle crystals show a second-harmonic EFM-EPR signal that is explained by electric-field modulation of isotropic exchange under Jahn-Teller distortion.

desk verdict Solid first second-harmonic EFM-EPR on a polynuclear spin triangle, matched without re-fitting by the existing multi-conformer exchange-modulation model; first-harmonic residual is incomplete but does not spoil the main claim. read the letter →

arxiv 2607.07747 v1 pith:JOHPMYLX submitted 2026-07-08 cond-mat.mtrl-sci quant-ph

Jason S. R. McCoombs , Jorge I. Hilari , Jérôme Robert , Balwant Singh Chauhan , Ratnamala Chatterjee , Filippo Troiani , Athanassios K. Boudalis This is my paper · ORCID
classification cond-mat.mtrl-sciquant-ph
keywords magnetoelectriccouplingspintriangleselectric-field-modulatedEPRJahn-Tellerdistortionisotropicexchangemodulationcentrosymmetricmolecularmagnetsspin-chiralityqubit
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper reports the first observation of a second-harmonic electric-field-modulated EPR signal from a polynuclear magnetic molecule, the centrosymmetric Fe3 spin triangle. The signal is quantitatively reproduced, with no free-parameter retuning, by a multi-conformational spin Hamiltonian in which an external electric field modulates the isotropic exchange couplings once a Jahn-Teller-type distortion has lowered the local C3 symmetry. The same model correctly predicts that the second-harmonic intensity vanishes when the electric field lies along the crystal c-axis. An unexpected first-harmonic signal is also present; the authors attribute it to a minority of lower-symmetry sites (surfaces, stacking faults, defects) or weak inter-cluster correlations that do not spoil the bulk second-harmonic simulation. The result expands the practical reach of EFM-EPR to centrosymmetric molecular magnets and supplies a concrete spectroscopic handle on spin-electric coupling relevant to electrically addressable spin qubits.

What carries the argument

The multi-conformational ensemble of A/B inversion partners whose isotropic exchange is written Jij(φ) = J{1 + ηζ[cos(φ-ϑi)+cos(φ-ϑj)]} and is further renormalized by the electric-dipole operator p = κ ∑ n̂ij (Si·Sj); after Fourier extraction of the second-harmonic absorption this ensemble yields a nonzero A2 while A1 cancels when the φ distribution restores macroscopic inversion.

What would settle it

A second-harmonic EFM-EPR measurement on a Fe3 crystal known to be free of surfaces, stacking faults and pyridine disorder that either still shows a first-harmonic signal of comparable intensity or fails to reproduce the calculated second-harmonic lineshape and orientation dependence.

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Extended reading notes

Core claim

Centrosymmetric Fe3 single crystals produce a clear second-harmonic EFM-EPR response that matches, without ad-hoc parameter adjustment, the response calculated from a multi-conformational spin Hamiltonian in which the electric field modulates isotropic exchange under Jahn-Teller-type symmetry lowering; this is the first such second-harmonic observation reported for a polynuclear magnetic molecule.

Load-bearing premise

That the bulk ensemble of inversion-related A and B triangles with isotropically distributed distortion angles restores macroscopic inversion symmetry, so any observed first-harmonic intensity must come from a small minority of defective or surface sites rather than from the bulk itself.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

2 major / 5 minor

Summary. The manuscript reports the first observation of a second-harmonic electric-field-modulated EPR (EFM-EPR) signal from single crystals of the centrosymmetric molecular spin triangle Fe3. The second-harmonic lineshapes for four relative orientations of B0 and E are quantitatively reproduced, without re-fitting, by a multi-conformational spin Hamiltonian (Eqs. 1–5) in which an external electric field modulates isotropic exchange under a Jahn-Teller-type lowering of C3 symmetry; the same parameters (J, Gz, bimodal ηζ, discrete φ grid) were previously fixed by CW-EPR and related spectroscopies. The model correctly predicts a vanishing second-harmonic response when E ∥ c and the change from absorption-like to derivative-like lineshapes when B0 is rotated from the molecular z-axis into the plane. An unexpected first-harmonic signal is also observed in all geometries; the authors exclude displacement-current magnetic fields as its origin and discuss possible residual symmetry-breaking mechanisms (surface/defect sites, weak inter-cluster correlations) without claiming a definitive microscopic assignment.

Significance. If the second-harmonic assignment holds, the work supplies the first quantitative demonstration that EFM-EPR can access magnetoelectric coupling in a polynuclear molecular magnet even when the crystal is centrosymmetric, and that the dominant coupling is electric-field modulation of isotropic exchange under local JT distortion. The parameter-free transfer of the Hamiltonian from prior CW-EPR/IINS/THz work to a new observable (second-harmonic lineshape and E-orientation dependence) is a genuine strength. Methodologically, the result enlarges the practical scope of multi-harmonic EFM-EPR and is relevant to proposals for electrically controllable spin-chirality qubits. The incomplete explanation of the first-harmonic residual does not undermine the central second-harmonic claim.

major comments (2)
  1. Section 3.3 and the Supporting Information: the first-harmonic residual is left without a quantitative model. While the authors correctly note that it does not feed back into the second-harmonic simulation, a minimal estimate of the required defect/surface fraction (or of the A/B population imbalance) that would produce the observed first-harmonic intensity relative to the bulk second-harmonic would strengthen the claim that the residual is a small subensemble effect rather than an unaccounted bulk mechanism.
  2. Section 2.3, Eq. (6) and the Fourier extraction (Eqs. 7–8): the absorption is written as a sum over discrete φ i = iπ/6 with equal weights, yet the text also invokes a bimodal distribution of ηζ. It should be stated explicitly whether the two η values are each averaged over the full 12-point φ grid or whether the bimodality is correlated with particular φ sectors; the present wording leaves a small ambiguity in how the ensemble average that cancels the first harmonic is constructed.
minor comments (5)
  1. Figures 4 and 5: the experimental first- and second-harmonic traces would be clearer if the vertical scales (or relative scaling factors) were stated in the captions, especially given the claim that the second-harmonic intensity is ~25 % (g∥) or ~100 % (g⊥) of the first-harmonic counterpart.
  2. Section 2.1: the home-made ×25 voltage transformer and the real-time oscilloscope monitoring of Vmod are described, but the phase relation between the electric-field modulation and the lock-in reference is not stated; a brief note that the detected An components are in-phase would remove any residual ambiguity about Bn contributions.
  3. Figure 9 caption and main text: the simulated linewidth is given as Γ/2π = 0.08 GHz while earlier exploratory panels use 0.16 GHz; a single consistent value (or an explicit statement that the narrower value is used only for the final comparison) would avoid confusion.
  4. Typographical: the abstract and title use “Fe3” while the body sometimes writes “F e3” with a space; unify the compound abbreviation throughout.
  5. References: the recent dielectric study (Ref. 13) and the THz work (Ref. 20) are central to the parameter inheritance; ensuring that the arXiv or journal versions cited are the final ones would help readers reconstruct the parameter chain.

Circularity Check

1 steps flagged · score 2.0 of 10

Mild self-citation of prior-group fitted spin-Hamiltonian parameters (ηζ, J, Gz from CW-EPR) used without re-fit to simulate the new second-harmonic EFM-EPR lineshapes; the match is a genuine transferability test, not forced by construction.

  1. self citation load bearing [Sec. 3.2 / quantitative comparison paragraph and Fig. 9 caption]
    "The simulations are based on the set of spin-Hamiltonian parameters that was used to model the CW-EPR first harmonic signal in Ref. [12]: J=43 cm^{-1}, G_z=4 cm^{-1}, φ_n=nπ/6, (n=1,…,12), η_1=0.102 and η_2=0.118. … No adjustment in the Hamiltonian parameters has been introduced in order to reproduce the present set of experimental results: this makes the excellent agreement … even more significant."

    ηζ, J and Gz were previously fitted by overlapping authors to CW-EPR (and IINS) data; they are imported unchanged to generate the second-harmonic EFM-EPR lineshapes. While the new observable and its E-orientation dependence were not part of the original fit, the numerical values that produce the match originate solely from the self-cited prior work rather than from an independent first-principles calculation or external benchmark.

full rationale

The paper’s central claim (first observation of second-harmonic EFM-EPR in a polynuclear spin triangle, quantitatively matched by the multi-conformer exchange-modulation model) rests on independent new data (orientation-dependent second-harmonic lineshapes for four E/B0 geometries, vanishing when E ∥ z_M). Parameters J, Gz, bimodal ηζ and the 12 discrete φ values are inherited unchanged from the authors’ prior CW-EPR/IINS work (Ref. [12]) and κ from their THz work (Ref. [20]); this is ordinary self-citation of fitted inputs, not a definitional loop or a fit-to-the-same-observable re-labeled as prediction. The model’s symmetry argument (isotropic φ averaging restores bulk inversion so bulk A1 vanishes while A2 survives) is applied consistently and is not used to force the second-harmonic match. No uniqueness theorem, ansatz smuggling, or self-definitional identity appears. The residual first-harmonic signal is explicitly left unexplained and does not enter the second-harmonic simulation. Score 2 reflects only the non-load-bearing self-citation of prior fitted numbers; the derivation chain for the new observable is self-contained against the external EFM-EPR benchmark.

Assumptions & free parameters 6 free parameters · 5 assumptions · 2 invented entities

The second-harmonic claim rests on a spin Hamiltonian and multi-conformer ensemble taken largely from prior work by the same group, plus the domain assumption that isotropic-exchange modulation dominates ME coupling. Free parameters (η1, η2, J, Gz, Γ, κ) are inherited or set for lineshape width rather than re-optimized to the new second-harmonic data. The first-harmonic discussion introduces additional unproven mechanisms (defect subensemble, weak correlations) without independent quantitative evidence.

free parameters (6)
  • η1, η2 (distortion magnitudes) = 0.102 and 0.118
    Bimodal values 0.102 and 0.118 taken from prior CW-EPR fit; used unchanged for all second-harmonic simulations.
  • J (isotropic exchange) = 43 cm^-1
    Fixed at 43 cm^-1 from prior modeling; not re-fit to EFM-EPR.
  • Gz (DM interaction) = 4 cm^-1
    Fixed at 4 cm^-1 from prior work.
  • κ (magnetoelectric coupling) = ≈4×10^-4 e·nm
    Estimated ~4e-4 e·nm from prior THz/first-principles work; links E_int to η via Eq. 4.
  • Γ (Gaussian linewidth) = 0.08–0.16 GHz
    Chosen for simulation display (0.08–0.16 GHz range across figures); not independently measured for EFM-EPR.
  • E vector angle vs a-axis = 17.3°
    17.3° crystallographic offset used for in-plane E simulations.
assumptions (5)
  • domain assumption Macroscopic crystal retains inversion (P) and C3 symmetry down to 4.5 K (space group P63/m), with equal A and B inversion partners.
    Stated from X-ray crystallography; used to argue bulk first-harmonic cancellation (Sections 2.2, 3.1.3).
  • domain assumption Local C3 lowering is captured by a static multi-conformational ensemble of 12 φ angles (and bimodal η) rather than a single dynamic distortion.
    Inherited from prior CW-EPR model [12]; drives nonzero local ⟨p⟩ and second-harmonic response.
  • domain assumption Dominant spin-electric coupling is renormalization of isotropic exchange J_ij by E·n_ij; g-tensor, single-ion anisotropy, and DMI modulation are secondary for the observed second harmonic.
    Explicit modeling choice (Section 2.3 and end of 3.3); justified by orientation dependence of second harmonic.
  • ad hoc to paper Probability densities satisfy qA(φ)=qB(φ+π) (or constant q), restoring statistical inversion symmetry for bulk averages.
    Required for vanishing bulk first harmonic and finite second harmonic (Section 3.1.3).
  • standard math Fourier components of time-dependent absorption under E=E cos(ωm t) give the measured nth-harmonic EFM-EPR signals (Eqs. 7–8).
    Standard multi-harmonic lock-in analysis.
invented entities (2)
  • Bimodal multi-conformational JT ensemble (24 approximately equally populated static triangular distortions) independent evidence
    purpose: Explains local C3 breaking, nonzero local polarization, and second-harmonic EFM-EPR while preserving macroscopic inversion after A/B averaging.
    Carried over from prior CW-EPR modeling; physical origin (static JT vs frozen pyridine disorder) remains open in this paper.
  • Low-symmetry surface/defect subensemble as source of first-harmonic signal
    purpose: Reconcile observed first-harmonic EFM-EPR with nominal centrosymmetry of the bulk crystal.
    Hypothesis in Section 3.3; no direct spatial or concentration measurement of such sites is provided.

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Cite this review

Pith. "Pith review of Second-harmonic signal in electric-field-modulated EPR spectra of Fe3 spin triangles." pith.science (2026). https://pith.science/paper/JOHPMYLX

@misc{pith2026260707747,
  author       = {Pith},
  title        = {Pith review of: Second-harmonic signal in electric-field-modulated EPR spectra of Fe3 spin triangles},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/JOHPMYLX}},
  note         = {Machine review of arXiv:2607.07747}
}
abstract

We present electric-field-modulated electron paramagnetic resonance (EFM-EPR) measurements on centrosymmetric single crystals of the molecular spin triangle $\mathrm{[{Fe_3}O({O_2}CPh){_6}(py){_3}]ClO{_4}{\cdot}py}$ ($\bf{Fe_3}$). We provide the first observation of second harmonic EFM-EPR signal in polynuclear magnetic molecules. This signal is simulated and explained in terms of an electric-field induced modulation of the isotropic exchange in the molecule, and of their symmetry lowering resulting from a Jahn-Teller effect. Additionally, an unexpected first harmonic EFM-EPR signal is observed. Various plausible symmetry-breaking mechanisms are discussed in an attempt to explain this feature, whose observation is unexpected in a nominally centrosymmetric crystal.

Figures

Figures reproduced from arXiv: 2607.07747 by the authors.

Figure 1
Figure 1. Pov-RAY plot of the cation of Fe3. The green arrow indicates the crystallographically-imposed C3 axis. 2 Materials and methods 2.1 Sample preparation and experimental setup Fe3 was synthesized as previously reported [14]. Large single crystals were grown from slow cooling of a supersaturated solution in pyridine. The crystal habit was a regular, hexagonal dipyramid, with the crystallographic c-axis running along the… view at source ↗
Figure 2
Figure 2. Photo of the crystals in the sample holder. The white outlines highlight the crystal faces and the [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. The simplified Fe3 crystal structure. (a) Shows the Fe3 triangles as viewed along the crystallo￾graphic c-direction and (b) the crystallographic a-direction. Fe3 A-clusters are shown in blue and inversion￾related Fe3 B-clusters are shown in red. (c,d) A pair of inversion-related A and B clusters. The polarization unit vectors ˆn α ij and DM-vectors Gij are indicated along with the pure isosceles- and scalene-type di… view at source ↗
Figures from the paper (6 more)
Figure 4
Figure 4. Figure 4: First (top) and second (bottom) harmonics of the EPR (red) and EFM-EPR (blue) signals of [PITH_FULL_IMAGE:figures/full_fig_p007_4.png]
Figure 5
Figure 5. Figure 5: First (top) and second (bottom) harmonics of the EPR (red) and EFM-EPR (blue) signals of [PITH_FULL_IMAGE:figures/full_fig_p008_5.png]
Figure 6
Figure 6. Figure 6: Numerical simulation of the first and second-harmonic signals, [PITH_FULL_IMAGE:figures/full_fig_p009_6.png]
Figure 7
Figure 7. Figure 7: Numerical simulation of the first and second-harmonic signals, [PITH_FULL_IMAGE:figures/full_fig_p010_7.png]
Figure 8
Figure 8. Figure 8: The effect of an applied electric field on the lowest lying Kramers doublet in [PITH_FULL_IMAGE:figures/full_fig_p011_8.png]
Figure 9
Figure 9. Figure 9: Comparison of the second harmonic EFM-EPR data with the multi-conformational model and (a) [PITH_FULL_IMAGE:figures/full_fig_p012_9.png]

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Works this paper leans on

72 extracted references · 72 canonical work pages

  1. [1]

    and Sessoli, R

    Gatteschi, D. and Sessoli, R. and Villain, J. Molecular nanomagnets. 2007

    work page 2007

  2. [2]

    Chemical Physics , volume =

    Field-dependent spin chirality and frustration in. Chemical Physics , volume =. 2014 , issn =. doi:https://doi.org/10.1016/j.chemphys.2013.11.012 , url =

    work page doi:10.1016/j.chemphys.2013.11.012 2014

  3. [3]

    and Robert, Jérôme and Turek, Philippe , title =

    Boudalis, Athanassios K. and Robert, Jérôme and Turek, Philippe , title =. Chemistry – A European Journal , volume =. doi:https://doi.org/10.1002/chem.201803038 , url =

    work page doi:10.1002/chem.201803038

  4. [4]

    , title =

    Boudalis, Athanassios K. , title =. Chemistry – A European Journal , volume =. doi:https://doi.org/10.1002/chem.202004919 , url =

    work page doi:10.1002/chem.202004919

  5. [5]

    Electronic orbital currents and polarization in Mott insulators , author =. Phys. Rev. B , volume =. 2008 , month =. doi:10.1103/PhysRevB.78.024402 , url =

    work page doi:10.1103/physrevb.78.024402 2008

  6. [6]

    and Nojiri, Hiroyuki and Kortz, U

    Choi, Kwang-Yong and Matsuda, Yasuhiro H. and Nojiri, Hiroyuki and Kortz, U. and Hussain, F. and Stowe, Ashley C. and Ramsey, Chris and Dalal, Naresh S. , journal =. Observation of a Half Step Magnetization in the. 2006 , month =. doi:10.1103/PhysRevLett.96.107202 , url =

    work page doi:10.1103/physrevlett.96.107202 2006

  7. [7]

    Electric control of magnetic exchange in a molecular spin triangle , journal=

    Cini, Alberto and B. Electric control of magnetic exchange in a molecular spin triangle , journal=. 2025 , month=. doi:10.1038/s41467-025-61417-6 , url=

    work page doi:10.1038/s41467-025-61417-6 2025

  8. [8]

    Antisymmetric Exchange in Triangular Tricopper(II) Complexes: Correlation among Structural, Magnetic, and Electron Paramagnetic Resonance Parameters , journal=

    Ferrer, Sacramento and Lloret, Francesc and Pardo, Emilio and Clemente-Juan, Juan Modesto and Liu-Gonz. Antisymmetric Exchange in Triangular Tricopper(II) Complexes: Correlation among Structural, Magnetic, and Electron Paramagnetic Resonance Parameters , journal=. 2012 , month=. doi:10.1021/ic2020034 , url=

    work page doi:10.1021/ic2020034 2012

Show all 72 references
  1. [9]

    Nature Materials , year=

    Fittipaldi, Maria and Cini, Alberto and Annino, Giuseppe and Vindigni, Alessandro and Caneschi, Andrea and Sessoli, Roberta , title=. Nature Materials , year=. doi:10.1038/s41563-019-0288-5 , url=

    doi

  2. [10]

    Chirality of Triangular Antiferromagnetic Clusters as a Qubit , author =. Phys. Rev. Lett. , volume =. 2010 , month =. doi:10.1103/PhysRevLett.104.200502 , url =

    2010 doi

  3. [11]

    Fhokrul and Nossa, Javier F

    Islam, M. Fhokrul and Nossa, Javier F. and Canali, Carlo M. and Pederson, Mark , journal =. First-principles study of spin-electric coupling in a. 2010 , month =. doi:10.1103/PhysRevB.82.155446 , url =

    2010 doi

  4. [12]

    Noncollinear first-principles studies of the spin-electric coupling in frustrated triangular molecular magnets , author =. Phys. Rev. B , volume =. 2024 , month =. doi:10.1103/PhysRevB.109.214407 , url =

    2024 doi

  5. [13]

    Angewandte Chemie International Edition , volume =

    Kintzel, Benjamin and Fittipaldi, Maria and Böhme, Michael and Cini, Alberto and Tesi, Lorenzo and Buchholz, Axel and Sessoli, Roberta and Plass, Winfried , title =. Angewandte Chemie International Edition , volume =. doi:https://doi.org/10.1002/anie.202017116 , url =

    doi

  6. [14]

    Probing spin-electric transitions in a molecular exchange qubit , journal=

    le Mardel. Probing spin-electric transitions in a molecular exchange qubit , journal=. 2025 , month=. doi:10.1038/s41467-025-56453-1 , url=

    2025 doi

  7. [15]

    and Adams, J

    Lewkowitz, M. and Adams, J. and Sullivan, N. S. and Wang, Ping and Shatruk, M. and Zapf, V. and Arvij, Ali Sirusi , title=. Scientific Reports , year=. doi:10.1038/s41598-023-29840-1 , url=

    doi

  8. [16]

    Electric Field Control of Spins in Molecular Magnets , author =. Phys. Rev. Lett. , volume =. 2019 , month =. doi:10.1103/PhysRevLett.122.037202 , url =

    2019 doi

  9. [17]

    General Magnetic Transition Dipole Moments for Electron Paramagnetic Resonance , author =. Phys. Rev. Lett. , volume =. 2015 , month =. doi:10.1103/PhysRevLett.114.010801 , url =

    2015 doi

  10. [18]

    Electric control of spin states in frustrated triangular molecular magnets , author =. Phys. Rev. B , volume =. 2023 , month =. doi:10.1103/PhysRevB.107.245402 , url =

    2023 doi

  11. [20]

    Polyanisotropic Magnetoelectric Coupling in an Electrically Controlled Molecular Spin Qubit , journal=

    Robert, J. Polyanisotropic Magnetoelectric Coupling in an Electrically Controlled Molecular Spin Qubit , journal=. 2019 , month=. doi:10.1021/jacs.9b09101 , url=

    2019 doi

  12. [21]

    Spin-Electric Coupling in Molecular Magnets , author =. Phys. Rev. Lett. , volume =. 2008 , month =. doi:10.1103/PhysRevLett.101.217201 , url =

    2008 doi

  13. [22]

    Spin electric effects in molecular antiferromagnets , author =. Phys. Rev. B , volume =. 2010 , month =. doi:10.1103/PhysRevB.82.045429 , url =

    2010 doi

  14. [23]

    Hyperfine-induced decoherence in triangular spin-cluster qubits , author =. Phys. Rev. B , volume =. 2012 , month =. doi:10.1103/PhysRevB.86.161409 , url =

    2012 doi

  15. [24]

    Manipulation of spin cluster qubits by electric field induced modulation of exchange coupling, g -factor, and axial anisotropy , author =. Phys. Rev. B , volume =. 2019 , month =. doi:10.1103/PhysRevB.100.155424 , url =

    2019 doi

  16. [25]

    Dzyaloshinskii-Moriya interaction induced magnetoelectric coupling in a tetrahedral molecular spin-frustrated system , author =. Phys. Rev. B , volume =. 2022 , month =. doi:10.1103/PhysRevB.106.054412 , url =

    2022 doi

  17. [26]

    Classical electrodynamics , url =

    Jackson, John David , biburl =. Classical electrodynamics , url =

  18. [27]

    Kragskow, Jon G. C. and Marbey, Jonathan and Buch, Christian D. and Nehrkorn, Joscha and Ozerov, Mykhaylo and Piligkos, Stergios and Hill, Stephen and Chilton, Nicholas F. , title=. Nature Communications , year=. doi:10.1038/s41467-022-28352-2 , url=

    doi

  19. [28]

    2024 , month =

    Chiesa, A and Santini, P and Garlatti, E and Luis, F and Carretta, S , title =. 2024 , month =. doi:10.1088/1361-6633/ad1f81 , url =

    2024 doi

  20. [29]

    Molecular spins for quantum information technologies

    Troiani, Filippo and Affronte, Marco. Molecular spins for quantum information technologies. Chem. Soc. Rev. 2011. doi:10.1039/C0CS00158A

    2011 doi

  21. [30]

    and Ullah, Aman and Hughey, Kendall D

    Blockmon, Avery L. and Ullah, Aman and Hughey, Kendall D. and Duan, Yan and O'Neal, Kenneth R. and Ozerov, Mykhaylo and Baldov. Spectroscopic Analysis of Vibronic Relaxation Pathways in Molecular Spin Qubit [. Inorganic Chemistry , year=. doi:10.1021/acs.inorgchem.1c01474 , url=

    doi

  22. [31]

    and Stavretis, Shelby E

    Moseley, Duncan H. and Stavretis, Shelby E. and Zhu, Zhenhua and Guo, Mei and Brown, Craig M. and Ozerov, Mykhaylo and Cheng, Yongqiang and Daemen, Luke L. and Richardson, Rachael and Knight, Gary and Thirunavukkuarasu, Komalavalli and Ramirez-Cuesta, Anibal J. and Tang, Jinku...

    doi

  23. [32]

    Nature Materials , year=

    Baadji, Nadjib and Piacenza, Manuel and Tugsuz, Tugba and Sala, Fabio Della and Maruccio, Giuseppe and Sanvito, Stefano , title=. Nature Materials , year=. doi:10.1038/nmat2525 , url=

    doi

  24. [33]

    Nature Reviews Physics , year=

    Moreno-Pineda, Eufemio and Wernsdorfer, Wolfgang , title=. Nature Reviews Physics , year=. doi:10.1038/s42254-021-00340-3 , url=

    doi

  25. [34]

    Electrodynamics of continuous media , address =

    Landau, Lev Davidovi. Electrodynamics of continuous media , address =. 1958 , publisher =

    1958

  26. [35]

    Journal of Experimental and Theoretical Physics , number =

    On the magneto-electrical effects in antiferromagnets , volume =. Journal of Experimental and Theoretical Physics , number =. 1960 , month =

    1960

  27. [36]

    Journal of Experimental and Theoretical Physics , number =

    The magnetoelectric effect in antiferromagnets , volume =. Journal of Experimental and Theoretical Physics , number =. 1960 , month =

    1960

  28. [37]

    Rado, G. T. and Folen, V. J. , journal =. Magnetoelectric. 1962 , month =. doi:10.1063/1.1728630 , issn =

    1962 doi

  29. [38]

    1976 , publisher =

    The linear electric field effect in paramagnetic resonance , author =. 1976 , publisher =

    1976

  30. [39]

    and Edwards, James P

    George, Richard E. and Edwards, James P. and Ardavan, Arzhang , journal =. Coherent. 2013 , month =. doi:10.1103/PhysRevLett.110.027601 , issn =

    2013 doi

  31. [40]

    Quantum coherent spin--electric control in a molecular nanomagnet at clock transitions , volume =

    Liu, Junjie and Mrozek, Jakub and Ullah, Aman and Duan, Yan and Baldov. Quantum coherent spin--electric control in a molecular nanomagnet at clock transitions , volume =. Nature Physics , doi =. 2021 , month =

    2021

  32. [41]

    , journal =

    Singh Chauhan, Balwant and Chatterjee, Ratnamala and Turek, Philippe and Boudalis, Athanassios K. , journal =. Electrical. 2025 , month =. doi:10.1021/jacs.5c05601 , issn =

    2025 doi

  33. [42]

    Nature Physics , author =

    Emergent functions of quantum materials , volume =. Nature Physics , author =. 2017 , pages =. doi:10.1038/nphys4274 , number =

    2017 doi

  34. [43]

    Inorganic Chemistry , author =

    Determination of the. Inorganic Chemistry , author =. 2018 , pages =. doi:10.1021/acs.inorgchem.8b01764 , number =

    2018 doi

  35. [44]

    Physical Chemistry Chemical Physics , author =

    Relevance of. Physical Chemistry Chemical Physics , author =. 2019 , pages =. doi:10.1039/C9CP03422F , number =

    2019 doi

  36. [45]

    Chemical Physics Letters , author =

    High-field magnetization of. Chemical Physics Letters , author =. 2006 , pages =. doi:10.1016/j.cplett.2006.07.025 , number =

    2006 doi

  37. [46]

    Europhysics Letters (EPL) , author =

    Mechanism of ground-state selection in the frustrated molecular spin cluster. Europhysics Letters (EPL) , author =. 2004 , pages =. doi:10.1209/epl/i2004-10008-x , number =

    2004 doi

  38. [47]

    Inorganic Chemistry , author =

    Spin-. Inorganic Chemistry , author =. 2004 , pages =. doi:10.1021/ic049669n , number =

    2004 doi

  39. [48]

    Physical Review B , author =

    Pulsed-field magnetization, electron spin resonance, and nuclear spin-lattice relaxation in the \. Physical Review B , author =. 2008 , pages =. doi:10.1103/PhysRevB.77.024406 , number =

    2008 doi

  40. [49]

    Dalton Transactions , author =

    Antisymmetric exchange in two tricopper(II) complexes containing a [. Dalton Transactions , author =. 2004 , pages =. doi:10.1039/B311980G , number =

    2004 doi

  41. [50]

    Physical Chemistry Chemical Physics , author =

    Interactions between. Physical Chemistry Chemical Physics , author =. 2018 , pages =. doi:10.1039/C8CP02643B , number =

    2018 doi

  42. [51]

    Physical Review Letters , author =

    Magnetoelectric. Physical Review Letters , author =. 2012 , pages =. doi:10.1103/PhysRevLett.108.247211 , language =

    2012 doi

  43. [52]

    Journal of Materials Science , author =

    Magnetoelectric coupling in multiferroic. Journal of Materials Science , author =. 2020 , pages =. doi:10.1007/s10853-020-04563-0 , language =

    2020 doi

  44. [53]

    Journal of the Physical Society of Japan , author =

    Electric. Journal of the Physical Society of Japan , author =. 1979 , pages =. doi:10.1143/JPSJ.46.1033 , language =

    1979 doi

  45. [54]

    Reports on Progress in Physics , author =

    Multiferroics of spin origin , volume =. Reports on Progress in Physics , author =. 2014 , pages =. doi:10.1088/0034-4885/77/7/076501 , number =

    2014 doi

  46. [55]

    Angewandte Chemie International Edition , author =

    Exploring. Angewandte Chemie International Edition , author =. 2025 , pages =. doi:10.1002/anie.202513081 , abstract =

    2025 doi

  47. [56]

    Annual Review of Physical Chemistry , author =

    Electric-. Annual Review of Physical Chemistry , author =. 2026 , pages =. doi:10.1146/annurev-physchem-082624-102024 , abstract =

    2026 doi

  48. [57]

    Chemical Science , author =

    Sensitive detection of spin-electric coupling in a. Chemical Science , author =. 2026 , pages =. doi:10.1039/D5SC08012F , abstract =

    2026 doi

  49. [58]

    Inorganic Chemistry , author =

    Dynamic versus. Inorganic Chemistry , author =. 2017 , pages =. doi:10.1021/acs.inorgchem.6b01912 , language =

    2017 doi

  50. [59]

    Physics Letters A , author =

    Jahn-. Physics Letters A , author =. 1974 , pages =. doi:10.1016/0375-9601(74)90657-4 , language =

    1974 doi

  51. [60]

    Anisotropic Superexchange Interaction and Weak Ferromagnetism

    Moriya, T \^o ru. Anisotropic Superexchange Interaction and Weak Ferromagnetism. Physical Review

  52. [61]

    Spin frustration and concealed asymmetry: structure and magnetic spectrum of [ Fe3O(O2CPh)6(py)3]ClO4·py

    Sowrey, Frank E and Tilford, Claire and Wocadlo, Sigrid and Anson, Christopher E and Powell, Annie K and Bennington, Stephen M and Montfrooij, Wouter and Jayasooriya, Upali A and Cannon, Roderick D. Spin frustration and concealed asymmetry: structure and magnetic spectrum of [...

  53. [62]

    EPR spectra of trigonal clusters

    Rakitin, Yu V and Yablokov, Yu V and Zelentsov, V V. EPR spectra of trigonal clusters. J. Magn. Reson

  54. [63]

    Electronic orbital currents and polarization in Mott insulators

    Bulaevskii, L N and Batista, C D and Mostovoy, M V and Khomskii, D I. Electronic orbital currents and polarization in Mott insulators. Phys. Rev. B Condens. Matter Mater. Phys

  55. [64]

    Physical Review Letters , author =

    Measuring. Physical Review Letters , author =. 1985 , pages =. doi:10.1103/PhysRevLett.55.59 , language =

    1985 doi

  56. [65]

    Linear effect of applied electric field in electron spin resonance

    Ham, Frank S. Linear effect of applied electric field in electron spin resonance. Phys. Rev. Lett

  57. [66]

    Splitting of electron spin resonance lines by an applied electric field

    Ludwig, G W and Woodbury, H H. Splitting of electron spin resonance lines by an applied electric field. Phys. Rev. Lett

  58. [67]

    Spin current and magnetoelectric effect in noncollinear magnets

    Katsura, Hosho and Nagaosa, Naoto and Balatsky, Alexander V. Spin current and magnetoelectric effect in noncollinear magnets. Phys. Rev. Lett

  59. [68]

    and Eaton, Sandra S

    Eaton, Gareth R. and Eaton, Sandra S. and Barr, David P. and Weber, Ralph T. , year =. Quantitative

  60. [69]

    Dalton Transactions , author =

    Magnetic relaxation in basic iron(. Dalton Transactions , author =. 2011 , pages =. doi:10.1039/c1dt10323g , language =

    2011 doi

  61. [70]

    Spin-electric Berry phase shift in triangular molecular magnets

    Azimi Mousolou, Vahid and Canali, C M and Sj \"o qvist, Erik. Spin-electric Berry phase shift in triangular molecular magnets. Phys. Rev. B

  62. [71]

    Mathematical methods in the physical sciences

    Boas, M L. Mathematical methods in the physical sciences

  63. [72]

    CRC handbook of chemistry and physics, 89th edition

  64. [73]

    Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagom \'e lattice

    Elhajal, M and Canals, B and Lacroix, C. Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagom \'e lattice. Phys. Rev. B

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