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REVIEW 4 major objections 5 minor 85 references

Local magnetic properties of the rare-earth intermetallics $R$Mn$_2$Ge$_2$ ($R$=Ce, Pr, Nd)

T0 review · 4 major / 5 minor · reviewed 2026-08-10 · deepseek-v4-flash

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Pith's one-line read This paper argues that a shared switch-on of magnetic dynamics accompanies the transition from canted-conical to a-b-plane antiferromagnetic order in $R$Mn$_2$Ge$_2$ ($R$=Ce, Pr, Nd), and that in the same temperature window these dynamics…

desk verdict First muSR across the RMn2Ge2 series gives a consistent dynamics signature near the conical-to-AFM transition, but the skyrmion-bubble attribution is a suggestion, not a tested model. read the letter →

arxiv 2608.07013 v1 pith:RH3X54NT submitted 2026-08-07 cond-mat.str-el

N. P. Bentley , T. L. Breeze , A. Hernández-Melián , M. J. Pearce , T. J. Hicken , M. T. F. Telling , B. M. Huddart , D. A. Mayoh
show 3 more authors
G. Balakrishnan S. J. Clark T. Lancaster
This is my paper · ORCID
classification cond-mat.str-el
keywords muon-spinspectroscopyskyrmionbubblesrare-earthintermetallicsmagneticphasetransitionsconicalmagnetismantiferromagnetismdipolefieldcalculationsRMn2Ge2
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

The paper uses implanted muons as local magnetic probes to ask what all three $R$Mn$_2$Ge$_2$ compounds ($R$=Ce, Pr, Nd) have in common around the temperature where skyrmion bubbles appear. It argues that the defining feature is a sharp onset of magnetic dynamics as the Mn moments leave a canted cone aligned along $c$ and enter collinear antiferromagnetic order in the $a$-$b$ plane. The muon relaxation peaks in exactly the temperature window where Lorentz microscopy has reported skyrmion bubbles, and the dynamics resemble those of other skyrmion-hosting materials. In NdMn$_2$Ge$_2$ the field-dependent relaxation departs from the random-fluctuation (Redfield) model inside the high-density bubble region, which the paper reads as correlated magnetic fluctuations produced by the bubbles. If correct, bulk muon measurements could identify skyrmion-bubble regimes in this family without imaging.

What carries the argument

The central object is the skyrmion bubble (SkB): a whirl of magnetic moments with skyrmion-like topology that is stabilised in a centrosymmetric magnet without the Dzyaloshinskii-Moriya interaction. The central probe is muon-spin relaxation, where implanted muons report the local-field distribution and its fluctuations; the peaked relaxation rate $\lambda_3$ and the Redfield-model analysis convert the measured damping into a fluctuation rate and a fluctuation amplitude. Computed dipole fields at DFT-relaxed candidate muon sites, evaluated for the reported conical-helix structures, identify the one site at (0,0,0.2) that captures the response of all three compounds. The mechanism carrying the argument is the comparison between the temperature and field dependence of $\lambda_3$ and the separately imaged skyrmion-bubble phase diagram: the same temperature window and the same field dependence make the dynamical signature a stand-in for the bubbles.

What would settle it

Take the 280 K field scan of NdMn$_2$Ge$_2$ and image the same crystal with Lorentz transmission electron microscopy while sweeping the field through the crossover near 90 mT; if the skyrmion-bubble density shows no change where the muon relaxation switches from $\gamma \approx 0.04$ to $\gamma \approx 0.13$, the correlated-fluctuation interpretation is refuted.

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Extended reading notes

Core claim

Across the three compounds the authors identify a single muon site, (0,0,0.2), whose computed dipole-field distributions, built from the reported conical-helix structures, match the measured precession frequencies in the ordered states. The shared dynamical result is a peak in the longitudinal muon relaxation rate $\lambda_3$ just below each material's transition to $a$-$b$-plane antiferromagnetism, with a characteristic width of roughly 25 K (a 2.2 meV energy scale), marking the point where local magnetic fluctuations switch on. This switch-on occurs in the region where skyrmion bubbles have been imaged, and the relaxation behaviour is similar to that seen in other skyrmion hosts. In NdMn$_2$Ge$_2$, field scans at 280 K deviate from the Redfield model for Gaussian random fluctuations, with a crossover near 90 mT from a nearly field-independent relaxation to a weak power-law field dependence; at 235 K, where fewer topological objects are reported, the Redfield model works. The paper concludes that the dynamics in this regime are enabled by and reflect the skyrmion bubbles, and that the high-density region in NdMn$_2$Ge$_2$ produces correlated, non-random magnetic fluctuations. At low temperatures, rare-earth ordering appears in all three materials, subtle in Ce and clearer in Pr and Nd, and the Nd compound shows a discontinuous two- to one-frequency transition at 215 K that the site calculations reproduce.

Load-bearing premise

The argument's load-bearing premise is that the muon relaxation peak near the magnetic transition, and the deviations from the Redfield model in NdMn$_2$Ge$_2$, come from skyrmion bubbles rather than from ordinary slowing-down of critical fluctuations or static magnetic disorder.

Editorial extensions

If this is right

  • The switch-on of dynamics near the transition to $a$-$b$-plane antiferromagnetism is a common property of all three $R$Mn$_2$Ge$_2$ compounds, making it a usable fingerprint for the family.
  • The muon site at (0,0,0.2) describes the local-field response of CeMn$_2$Ge$_2$, PrMn$_2$Ge$_2$, and NdMn$_2$Ge$_2$ with one set of calculations, so future local-probe studies of the family have a reference site.
  • In NdMn$_2$Ge$_2$, the high-density skyrmion-bubble region near 280 K is dynamically distinct from the low-density region near 235 K: the former gives correlated, non-random fluctuations and the latter gives random Gaussian fluctuations.
  • The degree of magnetic disorder in the antiferromagnetic phase varies across the series: in CeMn$_2$Ge$_2$ the fluctuations are severe enough to suppress resolved muon oscillations, while PrMn$_2$Ge$_2$ and NdMn$_2$Ge$_2$ retain oscillating signals with less disorder.
  • Rare-earth ordering contributes distinct low-temperature signatures in each material, and in NdMn$_2$Ge$_2$ the two-frequency response below 215 K is reproduced only if the conical axis lies along $b$.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Because the paper itself concedes that the roughly 2.2 meV energy scale of the relaxation peak is hard to interpret, a natural competing explanation is ordinary critical slowing down at the spin-reorientation transition; this could be tested by studying a non-skyrmion analogue with the same magnetic phase sequence.
  • If the muon signature is a reliable mark of a skyrmion-bubble regime, then zero-field muon relaxation could be used as an imaging-free screening tool for other centrosymmetric $R$Mn$_2$X$_2$ intermetallics, where the same canted-to-collinear transition may produce bubble states.
  • The field-scan crossover near 90 mT in NdMn$_2$Ge$_2$ predicts a corresponding feature in magnetotransport: the topological or anomalous Hall effect in this material should show a change in its field dependence when the bubble density changes across that field.
  • The inferred Ce ordering at low temperatures rests on a small muon-frequency shift rather than on direct neutron evidence; measuring specific heat or neutron diffraction below 5 K would distinguish true Ce order from a muon-induced or hyperfine effect.
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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

4 major / 5 minor

Summary. The paper reports zero-field and longitudinal-field muon-spin spectroscopy and DFT-based muon-site calculations on the three isostructural intermetallics CeMn2Ge2, PrMn2Ge2, and NdMn2Ge2. The authors identify a common muon stopping site, reproduce the measured muon precession frequencies from published neutron magnetic structures in several phases, and track the evolution of spin dynamics across successive magnetic transitions. The central interpretive claim is that a dynamical relaxation peak just below the transition from a canted structure to collinear a-b-plane antiferromagnetism is associated with skyrmion-bubble excitations reported in this series, with the Nd compound additionally showing non-random, correlated fluctuations in the high-density skyrmion-bubble region.

Significance. If the dynamical interpretation is accepted, the paper provides a useful local-probe signature of the conical-to-AFM transition across an entire rare-earth intermetallic family and extends the muon-based phenomenology of skyrmion-hosting materials to a centrosymmetric, DM-free system. The experimental dataset is substantial and internally consistent: relaxation peaks are observed in all three compounds, the two-frequency response in NdMn2Ge2 is reproduced from externally reported neutron structures, the muon-site analysis is detailed and transparent, and the computational workflow (CASTEP, MuFinder, MuESR) is reproducible in principle. These strengths make the paper a valuable systematic muSR study regardless of the ultimate interpretation of the peak.

major comments (4)
  1. [Abstract and Secs. III A, V E, VII] The abstract states that 'the level of disorder above this transition increases across the series from R=Ce to Nd,' but the body reports the opposite ordering. In Sec. III A the absence of oscillations above Tc in CeMn2Ge2 is attributed to severe dynamic disorder; Sec. IV A states that in PrMn2Ge2 'the amount of disorder is less, since coherent oscillations are still seen above Tc'; and Sec. V E concludes that in NdMn2Ge2 'the magnetic disorder due to dynamic fluctuations is less prevalent.' The conclusion in Sec. VII likewise describes the Ce compound as the one whose disorder is 'severe enough that oscillations are no longer resolved.' The abstract should be corrected to state that disorder decreases from Ce to Nd.
  2. [Secs. V C, VI, VII] The central conclusion that skyrmion bubbles 'lead to correlated magnetic fluctuations in NdMn2Ge2' is not supported by the evidence presented. The supporting observations are a Lorentzian relaxation peak within about 25 K below the magnetic transition and a change in an empirical power-law exponent from gamma = 0.04 to 0.13 in the field scan at 280 K. Both features are also consistent with generic critical slowing down or field-induced phase coexistence. The authors themselves note in Sec. VI that 'it is hard to give a specific interpretation to this energy scale' and in Sec. V C that the Redfield deviation 'could be driven by the greater density of SkBs at 280 K.' No model prediction for the muon relaxation from a skyrmion-bubble texture is given, no comparison with a non-SkB control temperature or field region is made, and no fit against a critical-fluctuations model is reported. The Sec. VII statement should either be softened to a speculative suggestion or backed by a discriminating test.
  3. [Secs. III B, IV C, and Supplemental Material I] The claim that a single crystallographically unique muon site captures the low-temperature magnetism of all three compounds is weakened by the PrMn2Ge2 result. In Sec. IV B the dipole-field calculation for the reported low-temperature structure predicts an increase in local field of 680 mT, while the measured frequency decreases by 90 mT; Sec. IV C lists several possible explanations but no quantitative resolution. The site-selection procedure also involves fitted quantities: the 440 mT hyperfine offset for CeMn2Ge2, the Ce ordered moment of approximately 0.4 mu_B, and the choice of site A are all constrained by agreement with the measured frequencies. This does not invalidate the dynamics conclusions, which are independent of the site assignment, but it does limit the strength of the 'unique site captures all materials' claim as stated in the Introduction.
  4. [Sec. III A and Sec. III B] The evidence for Ce magnetic ordering at low temperatures is presented more strongly than the data warrant. The only supporting signature is a 2 MHz increase in precession frequency below 5 K, and the authors then fit a Ce moment of about 0.4 mu_B to reproduce that change, while noting that the model's hyperfine contribution is unknown and that the literature value is about 0.16 mu_B. This is an interesting suggestion, but the text should consistently present it as a hypothesis consistent with the data rather than as a determination of Ce order.
minor comments (5)
  1. [Sec. V C] The phrase 'which can be prescribed to the greater energy cost' should read 'ascribed to'; the current wording appears to be a typographical error.
  2. [Sec. VI] The comparison of the relaxation-peak widths would benefit from a table listing T_c, T_peak, and Gamma for each compound and for each applied field, since these values are currently scattered across Secs. III, IV, and V.
  3. [Sec. II] The expression for the conical helix in Eq. (2) uses a phase convention that should be defined explicitly; the text refers to the helical component being 'AFM aligned within the a-b plane,' but it is not stated how this alignment is encoded in the sign of the cosine/sine terms for neighboring Mn ions.
  4. [Sec. V B] The pulsed-source analysis would be easier to follow if the parameters A_8 and A_9 were given numerical values or a reference to a fitting figure was included, since the amplitudes are globally refined but only the relaxation rates are shown in Fig. 8.
  5. [References] The data availability statement is incomplete ('Research data will be made available via XXX'); a repository or contact reference should be supplied before publication.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the muon-site match is an openly retrospective consistency check, and the skyrmion-dynamics interpretation is underdetermined but not derived from its own inputs.

full rationale

The paper's derivation chain is not circular in the sense of a prediction reducing to its inputs by construction. The muon-site assignment is an openly retrospective consistency check: site A is selected because its computed dipole-field distribution matches measured precession frequencies, and the same agreement is later reported as 'capturing' the behaviour. That is a fit, not a prediction, and it does not feed into the paper's main dynamical claim. The central result—an onset of muon relaxation dynamics near the conical-to-AFM transition, with deviations from Redfield behaviour in the Nd skyrmion-bubble region—rests on direct zero-field and longitudinal-field muon data and on the externally measured LTEM phase diagram (Ref. [33]). The Redfield deviations are quantified by fits with stated parameters, not forced by the model. The comparison with 'other skyrmion-hosting materials' cites prior muon work including some from the same group, but those are external measurements on different compounds, and the present assignment is additionally anchored by spatial coincidence with the reported SkB phase and by the magnetic-field dependence, so the self-citations are not load-bearing. The paper explicitly flags the interpretational weakness ('it is hard to give a specific interpretation to this energy scale'), which is an underdetermination of the skyrmion attribution, not a circular derivation. The abstract's statement that disorder increases from Ce to Nd appears inconsistent with the body's conclusion that Ce disorder is severe enough to suppress oscillations, but that is a correctness issue, not an instance of circular reasoning.

Assumptions & free parameters 4 free parameters · 4 assumptions · 0 invented entities

The central dynamical finding does not rely on many fitted parameters, but the field-distribution and rare-earth-ordering interpretations depend on the assumed muon site, the published neutron structures, a constant hyperfine correction, and several fitted quantities (Ce moment, 440 mT offset, Lorentzian peak shape, Redfield parameters). No new physical entities are introduced.

free parameters (4)
  • Ce ordered moment required to reproduce low-T frequency increase = 0.4 µB (antiparallel to Mn FM component)
    In Sec. III B, a Ce moment of m_Ce ≈ 0.4 µB is 'required' to match the observed 2.8 MHz increase in precession frequency; this is a fit to the data, not an independent measurement. It is compared to 0.16 µB from Ref. [64].
  • hyperfine contact field offset for CeMn2Ge2 = 440 mT
    In Sec. III B the dipole-field result is 440 mT below the measured muon frequency; the authors state a hyperfine field of 440 mT would account for the discrepancy. This is an ad hoc offset added to make the calculation match.
  • Lorentzian peak width of relaxation maximum = Γ ≈ 25-33 K (2.2-2.8 meV)
    Eq. 6 is fitted to λ3(T) peaks in all three compounds; the resulting width and energy are quoted as characteristic values, though the authors note they are hard to interpret. This is a fit, not a prediction.
  • Redfield fluctuation parameters = ν~ = 373(8) MHz, Δ = 7.89(7) MHz at 235 K; ν~ = 438(12) MHz, Δ = 14.2(2) MHz at 280 K
    Fitted to longitudinal-field scans using Eq. 14 in Sec. V C; used to argue for the fast-fluctuation limit and to interpret deviations at 280 K as correlated fluctuations.
assumptions (4)
  • domain assumption The reported neutron diffraction magnetic structures of RMn2Ge2 are correct and applicable to the measured crystals at the quoted temperatures.
    Dipole field calculations in Secs. III B, IV B, V D use moment sizes, cone angles, and propagation vectors from Refs. [26-29]; if these structures are wrong, the field distribution comparisons and rare-earth ordering inferences fail. The authors themselves suggest the published Pr structure may be incorrect.
  • domain assumption The muon stopping site in all three materials is site A at (0, 0, 0.2), as determined by DFT+μ and agreement with measured fields.
    Site A is selected because its calculated field distributions best match measurements, but sites B and C sometimes match better (e.g. Pr canted/AFM phases, Nd I_c phase). The site is not verified by an independent technique.
  • domain assumption The dipolar field sum plus a constant hyperfine correction captures the local field at the muon site.
    Hyperfine contribution is omitted and compensated by an offset (440 mT for Ce) or by noting needed values; the validity of a constant offset is assumed.
  • domain assumption Muon relaxation in these materials is in the fast-fluctuation limit with a Gaussian field distribution when applying the Redfield model.
    Eq. 14 is applied in Sec. V C; deviations at 280 K are interpreted as non-Gaussianity, but the model applicability is assumed.

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Cite this review

Pith. "Pith review of Local magnetic properties of the rare-earth intermetallics $R$Mn$_2$Ge$_2$ ($R$=Ce, Pr, Nd)." pith.science (2026). https://pith.science/paper/RH3X54NT

@misc{pith2026260807013,
  author       = {Pith},
  title        = {Pith review of: Local magnetic properties of the rare-earth intermetallics $R$Mn$_2$Ge$_2$ ($R$=Ce, Pr, Nd)},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/RH3X54NT}},
  note         = {Machine review of arXiv:2608.07013}
}
abstract

We present an investigation of the rare-earth intermetallic materials, $R$Mn$_2$Ge$_2$ ($R$=Ce, Pr, Nd), reported to host a lattice of skyrmionic bubbles at room temperature. The magnetism of all three materials is characterised by the onset of local fluctuations as the magnetic state changes from a conical magnetic structure to a collinear antiferromagnetic one as temperature $T$ is increased. In this $T$ regime, where skyrmion-bubble textures have been reported, we see dynamics similar to those observed in other skyrmion-hosting materials. The level of disorder above this transition increases across the series from $R$=Ce to Nd. At low temperatures the magnetism is affected by the ordering of the rare-earth ions, resulting in distinct behaviour for the different members of the series.

Figures

Figures reproduced from arXiv: 2608.07013 by the authors.

Figure 1
Figure 1. FIG. 1. ZF [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. (b). Our measurements provide the following picture of the magnetism in this material. (i) There is likely a slow￾ing of Ce moments below 30 K, seen via the peak in λ3, with a possible freezing below 5 K, which gives rise to an increase in precession frequency; (ii) The Mn sys￾tem is likely to be ordered throughout the bulk below [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. Dipole field distributions calculated at the muon site for reported incommensurate magnetic orderings in [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figures from the paper (8 more)
Figure 4
Figure 4. Figure 4: FIG. 4. ZF [PITH_FULL_IMAGE:figures/full_fig_p008_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. Evolution of the early-time spectra [PITH_FULL_IMAGE:figures/full_fig_p009_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. Fits of zero-field muon measurements of NdMn [PITH_FULL_IMAGE:figures/full_fig_p010_6.png]
Figure 7
Figure 7. Figure 7: FIG. 7. Fits of the low temperature ZF muon measurements [PITH_FULL_IMAGE:figures/full_fig_p011_7.png]
Figure 8
Figure 8. Figure 8: FIG. 8. (a) Example spectra of ZF measurements made [PITH_FULL_IMAGE:figures/full_fig_p012_8.png]
Figure 1
Figure 1. Figure 1: FIG. 1. Dipolar field distributions calculated at each of the [PITH_FULL_IMAGE:figures/full_fig_p018_1.png]
Figure 2
Figure 2. Figure 2: FIG. 2. Dipolar field distributions calculated at each of the candidate muon sites in PrMn [PITH_FULL_IMAGE:figures/full_fig_p020_2.png]
Figure 3
Figure 3. Figure 3: FIG. 3. Dipolar field distributions calculated at each of the candidate muon sites in NdMn [PITH_FULL_IMAGE:figures/full_fig_p022_3.png]

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Reference graph

Works this paper leans on

85 extracted references · 69 canonical work pages

  1. [1]

    The presence of two oscillatory components suggests the existence of two magnetically distinct muon sites in NdMn 2Ge2 (we discuss evidence for a third below)

    F Nd and Iab phases At temperaturesT≤215 K, the spectra were fitted with the function A(t) = 2X i=1 Aie−λit cos (2πνit+ϕ i) +A 3,(10) where the parameters are globally refined and fixed to A1 = 2.4(2) %,A 2 = 2.9(2) %,λ 1 = 17(2)µs −1, λ2 = 24(3)µs −1,ϕ 1 =−30(4) ◦ andϕ 2 =−51(4) ◦. The presence of two oscillatory components suggests the existence of two ...

  2. [2]

    I c and C phases Above the spin reorientation transition atT SR (that is, in the region 215≤T≤335 K) the spectra were fitted with the function A(t) =A 4e−λ4t cos (2πν1t) +A 5e−λ2t,(11) whereλ 4 = 7(2)µs −1 andλ 5 = 1.2(2)µs −1 are globally refined and fixed. The single oscillating term suggests that the muon sites become magnetically indistinguish- able a...

  3. [3]

    AFM phase The spectra in the AFM phase (335≤T≤380 K) were fitted using A(t) =A 6e−λ6t cos (2πν1t) +A 7,(12) whereA 6 = 19.1(7)% andλ 6 = 19.3(10)µs −1 are glob- ally refined. The transition to collinear AFM order in thea-bplane leads a relative increase in the amplitude of the oscillating component (A 6 compared toA 4) and a reduction in the slowly relaxi...

  4. [4]

    Lancaster, Skyrmions in magnetic materials, Con- temp

    T. Lancaster, Skyrmions in magnetic materials, Con- temp. Phys.60, 246 (2019)

    2019

  5. [5]

    Jiang, P

    W. Jiang, P. Upadhyaya, W. Zhang, G. Yu, M. B. Jungfleisch, F. Y. Fradin, J. E. Pearson, Y. Tserkovnyak, K. L. Wang, O. Heinonen, S. G. E. te Velthuis, and A. Hoffmann, Blowing magnetic skyrmion bubbles, Sci- ence349, 283 (2015)

    2015

  6. [6]

    A. Fert, N. Reyren, and V. Cros, Magnetic skyrmions: advances in physics and potential applications, Nature Reviews Materials2, 17031 (2017)

    2017

  7. [7]

    Psaroudaki, E

    C. Psaroudaki, E. Peraticos, and C. Panagopoulos, Skyrmion qubits: Challenges for future quantum com- puting applications, Applied Physics Letters123, 260501 (2023)

    2023

  8. [8]

    X. Yu, M. Mostovoy, Y. Tokunaga, W. Zhang, K. Ki- moto, Y. Matsui, Y. Kaneko, N. Nagaosa, and Y. Tokura, Magnetic stripes and skyrmions with helicity reversals, Proceedings of the National Academy of Sciences109, 8856 (2012)

    2012

Show all 85 references
  1. [9]

    Chakrabartty, S

    D. Chakrabartty, S. Jamaluddin, S. K. Manna, and A. K. Nayak, Tunable room temperature magnetic skyrmions in centrosymmetric kagome magnet Mn4Ga2Sn, Commu- nications Physics5, 189 (2022)

    2022

  2. [10]

    Bouaziz, E

    J. Bouaziz, E. Mendive-Tapia, S. Bl¨ ugel, and J. B. Staunton, Fermi-Surface Origin of Skyrmion Lattices in Centrosymmetric Rare-Earth Intermetallics, Phys. Rev. Lett.128, 157206 (2022)

    2022

  3. [11]

    J. A. M. Paddison, B. K. Rai, A. F. May, S. Calder, M. B. Stone, M. D. Frontzek, and A. D. Christianson, Magnetic Interactions of the Centrosymmetric Skyrmion Material Gd2PdSi3, Phys. Rev. Lett.129, 137202 (2022)

    2022

  4. [12]

    Gomilˇ sek, T

    M. Gomilˇ sek, T. J. Hicken, M. N. Wilson, K. J. A. Franke, B. M. Huddart, A. ˇStefanˇ ciˇ c, S. J. R. Holt, G. Balakrishnan, D. A. Mayoh, M. T. Birch, S. H. Moody, H. Luetkens, Z. Guguchia, M. T. F. Telling, P. J. Baker, S. J. Clark, and T. Lancaster, Anisotropic Skyrmion and...

    2025

  5. [13]

    S. H. Moody, P. J. Bereciartua, S. Francoual, M. T. Littlehales, M. N. Wilson, M. Gomilˇ sek, M. T. Birch, D. A. Mayoh, G. Balakrishnan, and P. D. Hatton, Lo- cal Dzyaloshinskii-Moriya Interactions Driving Quasi-2D 15 Magnetism in a Centrosymmetric Nanoskyrmion Mate- rial, Phy...

    2025

  6. [14]

    Pe¸ canha-Antonio, Z

    V. Pe¸ canha-Antonio, Z. Shan, M. Smidman, J. Bouaziz, B. Ouladdiaf, I. Kibalin, M. H. Lemee, C. Balz, J. Lass, D. A. Mayoh, G. Balakrishnan, J. B. Staunton, D. Adroja, and A. T. Boothroyd, Long-range mag- netic interactions in Nd 2PdSi3 and the formation of skyrmion phases in...

    2025

  7. [15]

    G. D. A. Wood, D. D. Khalyavin, D. A. Mayoh, J. Bouaziz, A. E. Hall, S. J. R. Holt, F. Orlandi, P. Manuel, S. Bl¨ ugel, J. B. Staunton, O. A. Petrenko, M. R. Lees, and G. Balakrishnan, Double-Qground state with topological charge stripes in the centrosymmet- ric skyrmion candi...

    2023

  8. [16]

    J. A. Paddison, J. Bouaziz, A. F. May, Q. Zhang, S. Calder, D. Abernathy, J. B. Staunton, S. Bl¨ ugel, and A. D. Christianson, Spin dynamics of the centrosymmet- ric skyrmion material GdRu2Si 2, Cell Reports Physical Science5, 102280 (2024)

    2024

  9. [17]

    G. D. A. Wood, J. R. Stewart, D. A. Mayoh, J. A. M. Paddison, J. Bouaziz, S. M. Tobin, O. A. Petrenko, M. R. Lees, P. Manuel, J. B. Staunton, and G. Balakrishnan, A magnon band analysis of GdRu2Si2 in the field-polarized state, npj Quantum Materials10, 39 (2025)

    2025

  10. [18]

    B. M. Huddart, A. Hern´ andez-Meli´ an, G. D. A. Wood, D. A. Mayoh, M. Gomilˇ sek, Z. Guguchia, C. Wang, T. J. Hicken, S. J. Blundell, G. Balakrishnan, and T. Lan- caster, Field-orientation-dependent magnetic phases in GdRu2Si2 probed with muon-spin spectroscopy, Phys. Rev. B1...

    2025

  11. [19]

    Matsuyama, T

    N. Matsuyama, T. Nomura, S. Imajo, T. Nomoto, R. Arita, K. Sudo, M. Kimata, N. D. Khanh, R. Tak- agi, Y. Tokura, S. Seki, K. Kindo, and Y. Kohama, Quantum oscillations in the centrosymmetric skyrmion- hosting magnet GdRu 2Si2, Phys. Rev. B107, 104421 (2023)

    2023

  12. [20]

    Y. Dong, Y. Kinoshita, M. Ochi, R. Nakachi, R. Hi- gashinaka, S. Hayami, Y. Wan, Y. Arai, S. Huh, M. Hashimoto, D. Lu, M. Tokunaga, Y. Aoki, T. D. Mat- suda, and T. Kondo, Pseudogap and Fermi arc induced by Fermi surface nesting in a centrosymmetric skyrmion magnet, Science388...

    2025

  13. [21]

    Hayashi, M

    H. Hayashi, M. Kato, T. Terashima, N. Kikugawa, H. Sakurai, H. K. Yoshida, and K. Yamaura, Explor- ing the Magnetic Phase Diagram and Hall Resistivity Suppression in Centrosymmetric GdOs 2Si2 Single Crys- tal, Journal of the Physical Society of Japan93, 094702 (2024)

    2024

  14. [22]

    Yoshimochi, R

    H. Yoshimochi, R. Takagi, J. Ju, N. D. Khanh, H. Saito, H. Sagayama, H. Nakao, S. Itoh, Y. Tokura, T. Arima, S. Hayami, T. Nakajima, and S. Seki, Multistep topo- logical transitions among meron and skyrmion crystals in a centrosymmetric magnet, Nature Physics20, 1001 (2024)

    2024

  15. [23]

    M. T. Littlehales, S. H. Moody, P. J. Bereciartua, D. A. Mayoh, Z. B. Parkin, T. J. Blundell, E. Unsworth, S. Francoual, G. Balakrishnan, D. A. Venero, and P. D. Hatton, Spin density waves and ground state helices in EuGa2.4Al1.6, Phys. Rev. Res.6, L032015 (2024)

    2024

  16. [24]

    Stockert, J

    O. Stockert, J. Arndt, E. Faulhaber, C. Geibel, H. S. Jeevan, S. Kirchner, M. Loewenhaupt, K. Schmalzl, W. Schmidt, Q. Si, and F. Steglich, Magnetically driven superconductivity in CeCu 2Si2, Nature Physics7, 119 (2011)

    2011

  17. [25]

    Yamashita, T

    T. Yamashita, T. Takenaka, Y. Tokiwa, J. A. Wilcox, Y. Mizukami, D. Terazawa, Y. Kasahara, S. Kittaka, T. Sakakibara, M. Konczykowski, S. Seiro, H. S. Jeevan, C. Geibel, C. Putzke, T. Onishi, H. Ikeda, A. Carrington, T. Shibauchi, and Y. Matsuda, Fully gapped supercon- ductivi...

    2017

  18. [26]

    J. M. Moya, S. Lei, E. M. Clements, C. S. Kengle, S. Sun, K. Allen, Q. Li, Y. Y. Peng, A. A. Husain, M. Mitrano, M. J. Krogstad, R. Osborn, A. B. Puthirath, S. Chi, L. Debeer-Schmitt, J. Gaudet, P. Abbamonte, J. W. Lynn, and E. Morosan, Incommensurate magnetic orders and topol...

    2022

  19. [27]

    A. M. Vibhakar, D. D. Khalyavin, J. M. Moya, P. Manuel, F. Orlandi, S. Lei, E. Morosan, and A. Bom- bardi, Competing charge and magnetic order in the can- didate centrosymmetric skyrmion host EuGa 2Al2, Phys. Rev. B108, L100404 (2023)

    2023

  20. [28]

    Agarwal, S

    H. Agarwal, S. R. Kotla, L. Noohinejad, B. Bag, C. Eisele, S. Ramakrishnan, M. Tolkiehn, C. Paulmann, A. Thamizhavel, S. Ramakrishnan, and S. van Smaalen, I-centered versusF-centered orthorhombic symmetry and negative thermal expansion of the charge density wave of EuAl2Ga2, P...

    2025

  21. [33]

    Nagaosa and Y

    N. Nagaosa and Y. Tokura, Topological properties and dynamics of magnetic skyrmions, Nature Nanotechnol- ogy8, 899 (2013)

    2013

  22. [34]

    G¨ obel, I

    B. G¨ obel, I. Mertig, and O. A. Tretiakov, Beyond skyrmions: Review and perspectives of alternative mag- netic quasiparticles, Physics Reports895, 1 (2021)

    2021

  23. [35]

    S. K. Treves, V. Ukleev, A. Apseros, J. R. Massey, K. Wagner, P. Lehmann, A. Kitaori, N. Kanazawa, J. A. Brock, S. Finizio, J. Reuteler, Y. Tokura, P. Maletinsky, and V. Scagnoli, Investigating skyrmion stability and core polarity reversal in NdMn 2Ge2, Scientific Reports 15, ...

    2025

  24. [36]

    Z. Hou, L. Li, C. Liu, X. Gao, Z. Ma, G. Zhou, Y. Peng, M. Yan, X. xiang Zhang, and J. Liu, Emergence of room temperature stable skyrmionic bubbles in the rare earth based REMn2Ge2 (RE = Ce, Pr, and Nd) magnets, Ma- terials Today Physics17, 100341 (2021). 16

    2021

  25. [37]

    F. Li, H. Nie, Y. Zhao, Z. Zhao, J. Huo, T. Wang, Z. Liao, A. Liu, H. Guo, H. Shen, S. Jiang, R. Chen, A. Yan, S.- W. Cheong, W. Xia, J. Sun, and L. Zhang, Topological magnetoresistance of magnetic skyrmionic bubbles, Ap- plied Physics Reviews11, 021423 (2024)

    2024

  26. [38]

    L. Xu, Y. Bai, G. Gong, F. Song, Z. Li, Y. Han, L. Ling, and Z. Tian, Strong anisotropic Hall effect in single- crystalline CeMn2Ge2 with helical spin order, Phys. Rev. B105, 075108 (2022)

    2022

  27. [39]

    Huang, H

    D. Huang, H. Li, B. Ding, X. Xi, Y.-C. Lau, and W. Wang, Enhanced magnetic anisotropy induced by praseodymium ferromagnetic order and anomalous trans- port properties in PrMn 2Ge2 single crystals, Phys. Rev. B107, 224417 (2023)

    2023

  28. [40]

    X.-Y. Wang, S. Xu, H. Wang, J.-F. Lin, X.-Y. Zeng, X.- P. Ma, J. Gong, Y.-T. Wang, K. Han, and T.-L. Xia, Uniaxial magnetic anisotropy and anomalous Hall effect in the ferromagnetic compound PrMn 2Ge2, Phys. Rev. B107, 144402 (2023)

    2023

  29. [41]

    M. Lyu, J. Liu, S. Zhang, Y. Liu, J. Yang, Y. Wang, Y. Feng, B. Wang, H. Wei, and E. Liu, Large anomalous Hall and Nernst effects dominated by an intrinsic mech- anism in the noncollinear ferromagnet PrMn 2Ge2, Phys. Rev. B111, 014424 (2025)

    2025

  30. [42]

    Zheng, X

    X. Zheng, X. Zhao, J. Qi, X. Luo, S. Ma, C. Chen, H. Zeng, G. Yu, N. Fang, S. U. Rehman, W. Ren, B. Li, and Z. Zhong, Giant topological Hall effect around room temperature in noncollinear ferromagnet NdMn2Ge2 sin- gle crystal, Applied Physics Letters118, 072402 (2021)

    2021

  31. [43]

    S. Wang, Q. Zeng, D. Liu, H. Zhang, L. Ma, G. Xu, Y. Liang, Z. Zhang, H. Wu, R. Che, X. Han, and Q. Huang, Giant Topological Hall Effect and Superstable Spontaneous Skyrmions below 330 K in a Centrosymmet- ric Complex Noncollinear Ferromagnet NdMn2Ge2, ACS Applied Materials & ...

    2020

  32. [44]

    S. J. Blundell, R. De Renzi, T. Lancaster, and F. L. Pratt, Muon Spectroscopy: An Introduction(Oxford University Press, 2021)

    2021

  33. [45]

    Hicken, M

    T. Hicken, M. Wilson, K. Franke, B. Huddart, Z. Hawk- head, M. Gomilˇ sek, S. Clark, F. Pratt, A. ˇStefanˇ ciˇ c, A. Hall,et al., Megahertz dynamics in skyrmion systems probed with muon-spin relaxation, Phys. Rev. B.103, 024428 (2021)

    2021

  34. [46]

    K. J. Franke, B. M. Huddart, T. J. Hicken, F. Xiao, S. J. Blundell, F. L. Pratt, M. Crisanti, J. A. Barker, S. J. Clark, A. ˇStefanˇ ciˇ c,et al., Magnetic phases of skyrmion- hosting GaV 4S8−ySey (y= 0,2,4,8) probed with muon spectroscopy, Phys. Rev. B.98, 054428 (2018)

    2018

  35. [47]

    Hicken, S

    T. Hicken, S. Holt, K. Franke, Z. Hawkhead, A.ˇStefanˇ ciˇ c, M. Wilson, M. Gomilˇ sek, B. Huddart, S. Clark, M. Lees, et al., Magnetism and N´ eel skyrmion dynamics in GaV4S8−ySey, Phys. Rev. Research2, 032001 (2020)

    2020

  36. [48]

    Amato, H

    A. Amato, H. Luetkens, K. Sedlak, A. Stoykov, R. Scheuermann, M. Elender, A. Raselli, and D. Graf, The new versatile general purpose surface-muon instru- ment (GPS) based on silicon photomultipliers forµSR measurements on a continuous-wave beam, Review of Sci- entific Instrume...

    2017

  37. [49]

    J. S. Lord, I. McKenzie, P. J. Baker, S. J. Blundell, S. P. Cottrell, S. R. Giblin, J. Good, A. D. Hillier, B. H. Hols- man, P. J. C. King, T. Lancaster, R. Mitchell, J. B. Nightingale, M. Owczarkowski, S. Poli, F. L. Pratt, N. J. Rhodes, R. Scheuermann, and Z. Salman, Design ...

    2011

  38. [50]

    Pratt, WIMDA: a muon data analysis program for the Windows PC, Physica B: Condensed Matter289-290, 710 (2000)

    F. Pratt, WIMDA: a muon data analysis program for the Windows PC, Physica B: Condensed Matter289-290, 710 (2000)

    2000

  39. [51]

    S. J. Clark, M. D. Segall, C. J. Pickard, P. J. Hasnip, M. J. Probert, K. Refson, and M. Payne, First principles methods using CASTEP, Z. Kristall.220, 567 (2005)

    2005

  40. [52]

    Huddart, A

    B. Huddart, A. Hern´ andez-Meli´ an, T. Hicken, M. Gomilˇ sek, Z. Hawkhead, S. Clark, F. Pratt, and T. Lancaster, MuFinder: A program to determine and analyse muon stopping sites, Computer Physics Communications280, 108488 (2022)

    2022

  41. [53]

    H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B.13, 5188 (1976)

    1976

  42. [54]

    Bonf` a, I

    P. Bonf` a, I. J. Onuorah, and R. De Renzi, Introduction and a quick look at MUESR, the Magnetic structure and mUon Embedding Site Refinement suite, JPS Conf. Proc. 21, 011052 (2018)

    2018

  43. [55]

    Martin, M

    N. Martin, M. Deutsch, F. Bert, D. Andreica, A. Amato, P. Bonf` a, R. De Renzi, U. K. R¨ oßler, P. Bonville, L. N. Fomicheva, A. V. Tsvyashchenko, and I. Mirebeau, Mag- netic ground state and spin fluctuations in MnGe chiral magnet as studied by muon spin rotation, Phys. Rev. ...

    2016

  44. [56]

    J. A. Fernandez-Baca, P. Hill, B. C. Chakoumakos, and N. Ali, Neutron diffraction study of the magnetic struc- tures of CeMn 2Ge2 and CeMn 2Si2, Journal of Applied Physics79, 5398 (1996)

    1996

  45. [57]

    M. N. Wilson, T. J. Hicken, M. Gomilˇ sek, A. ˇStefanˇ ciˇ c, G. Balakrishnan, J. C. Loudon, A. C. Twitchett- Harrison, F. L. Pratt, M. Telling, and T. Lancaster, Spin dynamics in bulk MnNiGa and Mn 1.4Pt0.9Pd0.1Sn in- vestigated by muon spin relaxation, Phys. Rev. B104, 134414 (2021)

    2021

  46. [58]

    S. J. Blundell and T. Lancaster, DFT +µ: Density functional theory for muon site determination, Applied Physics Reviews10, 021316 (2023)

    2023

  47. [59]

    See the Supplemental Material for further details regard- ing the muon site calculations and calculated crystal field splittings for the rare-earth ion energy levels in each of the materials

  48. [60]

    I. J. Onuorah, P. Bonf` a, and R. De Renzi, Muon contact hyperfine field in metals: A DFT calculation, Phys. Rev. B97, 174414 (2018)

    2018

  49. [61]

    Physique Lett.45, 27 (1984)

    Campbell, I.A., Muon hyperfine fields in rare earth hosts, J. Physique Lett.45, 27 (1984)

    1984

  50. [62]

    Schreier, M

    E. Schreier, M. Ekstr¨ om, O. Hartmann, R. W¨ appling, G. Kalvius, F. Burghart, S. Henneberger, A. Marelius, and A. Kratzer, Internal fields in magnetically ordered dysprosium, holmium and erbium, Physica B: Condensed Matter289-290, 240 (2000)

    2000

  51. [63]

    Ishant, Z

    I. Ishant, Z. Guguchia, V. Fritsch, O. Stockert, and M. Majumder, Microscopic evidence of a field-induced critical spin-liquid state in a frustrated metal, Phys. Rev. B112, L220409 (2025)

    2025

  52. [64]

    Frauenfelder, R

    H. Frauenfelder, R. M. Steffen, S. R. de Groot, H. A. Tol- hoek, and W. J. Huiskamp, Angular Distribution of Nu- clear Radiation, inAlpha-, Beta- and Gamma-ray Spec- troscopy, Vol. 1, edited by K. Siegbahn (1965) p. 997

    1965

  53. [65]

    T. A. Webb and D. H. Ryan, A TDPAC study of static and dynamic magnetic behaviour, Journal of Physics: 17 Condensed Matter25, 306001 (2013)

    2013

  54. [66]

    A. W. Carbonari, J. Mestnik-Filho, R. N. Saxena, and M. V. Lali´ c, Magnetic hyperfine interaction in CeMn2Ge2 and CeMn 2Si2 measured by perturbed angular correla- tion spectroscopy, Phys. Rev. B69, 144425 (2004)

    2004

  55. [67]

    M. V. Lali´ c, J. Mestnik-Filho, A. W. Carbonari, and R. N. Saxena, The low-temperature magnetism of cerium atoms in CeMn 2Si2 and CeMn2Ge2 compounds, Journal of Physics: Condensed Matter16, 6685 (2004)

    2004

  56. [68]

    A. T. Boothroyd,Principles of Neutron Scattering from Condensed Matter(Oxford University Press, 2020)

    2020

  57. [69]

    Kervan, A

    S. Kervan, A. Kilic, and A. Gencer, Magnetic character- ization of intermetallic PrMn 2Ge2−xSix compounds by AC susceptibility, x-ray diffraction and differential scan- ning calorimetry studies, Journal of Physics: Condensed Matter16, 4955 (2004)

    2004

  58. [70]

    M. Song, J. Zhao, C. Liu, M. He, Y. Wang, Y. Han, L. Ling, L. Cao, L. Zhang, Z. Qu, and Y. Xiong, Crit- ical behavior and strongly anisotropic interactions in PrMn2Ge2, Applied Physics Letters120, 092402 (2022)

    2022

  59. [75]

    Bosch-Santos, A

    B. Bosch-Santos, A. W. Carbonari, G. A. Cabrera-Pasca, R. N. Saxena, and R. S. Freitas, The magnetic behav- ior of the intermetallic compound NdMn 2Ge2 studied by magnetization and hyperfine interactions measurements, Journal of Applied Physics117, 17E304 (2015)

    2015

  60. [76]

    Nowik, Y

    I. Nowik, Y. Levi, I. Felner, and E. Bauminger, New multiple magnetic phase transitions and structures in RMn2X2,X= Si or Ge, R= rare earth, Journal of Magnetism and Magnetic Materials147, 373 (1995)

    1995

  61. [77]

    Chatterji, J

    T. Chatterji, J. Combet, B. Frick, and A. Szyula, Di- rect evidence for the magnetic ordering of Nd ions in NdMn2Si2 and NdMn 2Ge2 by high resolution inelastic neutron scattering, Journal of Magnetism and Magnetic Materials324, 1030 (2012)

    2012

  62. [78]

    Local magnetic properties of the rare-earth intermetallicsRMn 2Ge2 (R=Ce, Pr, Nd)

    A. Hern´ andez-Meli´ an, B. Huddart, F. Pratt, S. Blundell, M. Mills, H. Young, K. Preuss, and T. Lancaster, Muon- spin relaxation investigation of magnetic bistability in a crystalline organic radical compound, Journal of Physics and Chemistry of Solids181, 111493 (2023). Sup...

    2023

  63. [79]

    M. F. Md Din, J. L. Wang, Z. X. Cheng, S. X. Dou, S. J. Kennedy, M. Avdeev, and S. J. Campbell, Tuneable Magnetic Phase Transitions in Layered CeMn 2Ge2−xSix Compounds, Scientific Reports5, 11288 (2015)

    2015

  64. [80]

    Welter, G

    R. Welter, G. Venturini, E. Ressouche, and B. Mala- man, Neutron diffraction study of CeMn2Ge2, PrMn2Ge2 and NdMn2Ge2: evidence of dominant antiferromagnetic components within the (001) Mn planes in ferromagnetic ThCr2Si2-type manganese ternary compounds, Journal of Alloys and...

    1995

  65. [81]

    N. P. Bentley, T. L. Breeze, A. Hern´ andez-Meli´ an, T. J. Hicken, B. M. Huddart, F. L. Pratt, A. E. Hall, D. A. Mayoh, G. Balakrishnan, S. J. Clark, and T. Lancaster, Magnetism inM 1/3NbS2 (M= Fe,V,Mn): Insight into intercalated transition metal dichalcogenides usingµSR, Phy...

    2025

  66. [82]

    J. L. Wang, S. J. Campbell, M. F. Md Din, S. J. Kennedy, and M. Hofmann, Magnetic transitions and the magne- tocaloric effect in the Pr 1−xYxMn2Ge2 system, physica status solidi (a)211, 1092 (2014)

    2014

  67. [83]

    S. J. Blundell,Magnetism in Condensed Matter(Oxford University Press, Oxford, 2003)

    2003

  68. [84]

    C. Xu, W. Tian, P. Zhang, and X. Ke, Large anomalous Nernst effect and topological Nernst effect in the non- collinear antiferromagnet NdMn2Ge2, Phys. Rev. B108, 064430 (2023)

    2023

  69. [85]

    Morellon, P

    L. Morellon, P. A. Algarabel, M. R. Ibarra, and C. Rit- ter, Magnetic structures and magnetic phase diagram of NdxTb1−xMn2Ge2, Phys. Rev. B55, 12363 (1997)

    1997

  70. [86]

    K. W. H. Stevens, Matrix Elements and Operator Equiv- alents Connected with the Magnetic Properties of Rare Earth Ions, Proceedings of the Physical Society. Section A65, 209 (1952)

    1952

  71. [87]

    Hutchings, Point-Charge Calculations of Energy Lev- els of Magnetic Ions in Crystalline Electric Fields (Aca- demic Press, 1964) pp

    M. Hutchings, Point-Charge Calculations of Energy Lev- els of Magnetic Ions in Crystalline Electric Fields (Aca- demic Press, 1964) pp. 227–273

    1964

  72. [88]

    Fischer and A

    G. Fischer and A. Herr, Representation of Energetical and Low-Field Magnetic Properties ofJ= 5/2 Rare Earth Ion States in Tetragonal Crystal Fields, physica status solidi (b)141, 589 (1987)

    1987

  73. [89]

    Mestnik-Filho, L

    J. Mestnik-Filho, L. Pereira, M. Lalic, and A. Carbonari, The Ce electronic ground state in CeMn2Ge2 determined by 140Ce PAC spectroscopy and electronic structure cal- culations, Physica B: Condensed Matter389, 73 (2007)

    2007

  74. [90]

    H. A. Kramers, Th´ eorie g´ en´ erale de la rotation param- agn´ etique dans les cristaux, inProceedings of the Royal Netherlands Academy of Arts and Sciences, Vol. 33 (1930) pp. 959–972

    1930

  75. [91]

    M. J. Klein, On a Degeneracy Theorem of Kramers, American Journal of Physics20, 65 (1952)

    1952

  76. [92]

    Tashma, A

    T. Tashma, A. Amato, A. Grayevsky, F. N. Gygax, M. Pinkpank, A. Schenck, and N. Kaplan, Electronic changes induced byµ + in PrIn3 : Muon-spin-rotation ob- servation and crystalline-electric-field model calculation, Phys. Rev. B56, 9397 (1997)

    1997

  77. [93]

    F. R. Foronda, F. Lang, J. S. M¨ oller, T. Lancaster, A. T. Boothroyd, F. L. Pratt, S. R. Giblin, D. Prabhakaran, and S. J. Blundell, Anisotropic Local Modification of Crystal Field Levels in Pr-Based Pyrochlores: A Muon- Induced Effect Modeled Using Density Functional The- or...

    2015

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