Magnetic anisotropy in the near-stoichiometric van der Waals ferromagnet Fe 3 GeTe 2
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Introduction to the show: ident: Quantum Radio. Generated commentary on the latest quantum physics and condensed matter papers.
Kai: I'm Kai.
Mira: And I'm Mira, here with Lev.
Kai: We're looking at the paper: "Magnetic anisotropy in the near-stoichiometric van der Waals ferromagnet Fe 3 GeTe 2".
Mira: Here's the gist of the paper. Quasi-two-dimensional (2D) van der Waals (vdW) ferromagnets such as the series Fe3−xGeTe2 offer an ideal platform for investigating itinerant magnetism in reduced dimensions <ref:2607.24543#pg2> Here, we present a comprehensive electron spin resonance (ESR) investigation of single-crystalline almost stoichiometric Fe3.03±0.03GeTe2 across wide ranges of frequencies, temperatures, and magnetic fields to gain quantitative insights into its magnetic anisotropy and spin dynamics <ref:2607.24543#pg2> Frequency-dependent ESR measurements establish Fe3GeTe2 as an easy-axis ferromagnet <ref:2607.24543#pg2> Magnetic Characterization and Anisotropy The study confirms that Fe3GeTe2 is an easy-axis ferromagnet with the easy axis aligned along the crystallographic c-direction <ref:2607.24543#pg2> High-frequency and high-field (HF-) ESR studies reveal a strong uniaxial magnetocrystalline anisotropy Kint ≈ −5×106 erg cm−3 at 3 K <ref:2607.24543#pg2> This results in a large magnon gap ∆(3 K) ≈ 87.8 ± 13.7 GHz (≈ 0.363 ± 0.057 meV) <ref:2607.24543#pg2> The intrinsic magnetocrystalline anisotropy energy reaches ∼ −5 × 10 6 erg cm−3 at 3 K <ref:2607.24543#pg2> Furthermore, the absence of measurable in-plane anisotropy in this Fe3GeTe2 sample is consistent with earlier findings from magnetization studies <ref:2607.24543#pg2> Sensitivity to Stoichiometry The research highlights that small variations in Fe content lead to substantial changes in the magnon gap at low temperatures, indicating the extreme sensitivity of spin dynamics to the chemical composition <ref:2607.24543#pg2> A comparison across different Fe compositions shows that the gap decreases sharply with increasing Fe occupancy, following an approximately exponential trend <ref:2607.24543#pg2> For instance, the gap reduces from ∼ 895 GHz for n = 2.75 to ∼ 88 GHz for the near-stoichiometric, slightly Fe-rich composition investigated in the present work <ref:2607.24543#pg2> In contrast, the Curie temperature TC exhibits a markedly different behavior, increasing nearly linearly with Fe content <ref:2607.24543#pg2> Temperature Evolution of Spin Dynamics The temperature evolution of the HF-ESR response in Fe3GeTe2 was investigated over the range T = 3 − 300 K at excitation frequencies close to 300 GHz <ref:2607.24543#pg2> The resonance shift (δH(T)) remains finite for both field orientations even at temperatures up to ∼ 300 K, approximately 85 K above the TC ≈ 215 K of Fe3GeTe2 <ref:2607.24543#pg2> This behavior indicates the possible presence of short-range spin correlations in Fe3GeTe2 that remain static on the HF-ESR timescale <ref:2607.24543#pg2> Model for Anisotropy Control The total anisotropy field at each temperature can be expressed as the sum of two components Ha = Hint + HD <ref:2607.24543#pg2> The intrinsic magnetocrystalline anisotropy field Hint is negative over the entire measurement temperature range, confirming that the intrinsic magnetocrystalline anisotropy of Fe3GeTe2 is of the easy-axis type <ref:2607.24543#pg2> The magnon excitation gap can be approximately estimated from the temperature dependence of total anisotropy field Ha for the H∥ c configuration using Eq.
Kai: 2.1 <ref:2607.24543#pg2> At T = 15 K, the zero-field magnon gap is estimated as ∆15K = 97.4 ± 11.7 GHz (≈ 0.403 ± 0.045 meV) <ref:2607.24543#pg2> These findings establish the Fe3GeTe2 as a model platform for exploring tunable spin-wave excitations and anisotropies in metallic vdW ferromagnets <ref:2607.24543#pg2> The study concludes that even small variations in Fe content can lead to substantial changes in the magnon gap at low temperatures, highlighting the extreme sensitivity of spin dynamics to chemical composition in this Fe3GeTe2 <ref:2607.24543#pg2> ACKNOWLEDGMENTS The authors acknowledge R.
Mira: Kluge and S.
Kai: Wurmehl for the EDX measurements <ref:2607.24543#pg2> R.
Paper summary: Kai: Hey everyone, we're looking at this paper today, "Magnetic anisotropy in the near-stoichiometric van der Waals ferromagnet Fe three GeTe two <ref:2607.24543#pg1,Magnetic anisotropy in the near-stoichiometric van der Waals ferromagnet>." It’s about investigating itinerant magnetism in these two-dimensional van der Waals materials.
Mira: Right, it’s focusing on a specific series of compounds called Fe3−xGeTe2, and they're using electron spin resonance to get quantitative insights into the magnetic anisotropy and spin dynamics.
Lev: So we’re talking about how this material behaves when you probe it with ESR across wide ranges of frequencies, temperatures, and magnetic fields. That sounds like a big experimental setup to set up for some detailed physics.
Kai: Exactly what the paper is doing is looking at single-crystalline almost stoichiometric Fe3 point 03±0 point 03GeTe2 across these different conditions to get a quantitative look at its magnetic anisotropy and spin dynamics >
Mira: The main finding they establish with these frequency-dependent ESR measurements is that Fe3GeTe2 acts as an easy-axis ferromagnet, and the easy axis is aligned along the crystallographic c-direction >
Lev: That’s a key piece of information for us to consider when thinking about how this material might work in a real quantum device, so knowing which way it prefers to point is important.
Kai: And they found that high-frequency and high-field ESR studies reveal a strong uniaxial magnetocrystalline anisotropy, Kint ≈ −five times ten six erg cm−three at three K >
Mira: That leads directly to a magnon gap of ∆(three K) ≈ eighty-seven point eight ± thirteen point seven GHz, which is about zero point three six three meV >
Lev: An eight-seventy-point-eight gigahertz gap at three Kelvin, that’s a measurable energy scale we can actually work with if we could cool it down that much >
Kai: The intrinsic magnetocrystalline anisotropy energy reaches around negative five times one thousand erg cm−three at three Kelvin > <ref:2607.24543#pg1>
Mira: They also note the absence of measurable in-plane anisotropy in this Fe3GeTe2 sample, which aligns with earlier magnetization studies they mentioned >
Lev: It’s interesting that they are confirming that lack of in-plane anisotropy because those types of measurements usually give us a clearer picture of the overall magnetic landscape >
Kai: The paper highlights how small variations in the Fe content lead to substantial changes in the magnon gap at low temperatures, which shows how sensitive spin dynamics are to chemical composition >
Mira: They compare different Fe compositions and find that the gap decreases sharply with increasing Fe occupancy, following an approximately exponential trend >
Lev: So it means if you want a stable spin dynamics response, you have to be really precise about the stoichiometry of your material, or you get a big shift in energy scales >
Kai: For example, the gap reduces from around eight hundred ninety-five gigahertz for n equals two point seven five to around eighty-eight gigahertz for that near-stoichiometric composition they investigated >
Paper summary: Mira: In contrast, the Curie temperature TC exhibits a markedly different behavior, increasing nearly linearly with Fe content >
Lev: That linear increase in the Curie temperature is something we need to keep track of when designing systems because it tells us how robust the ferromagnetism is against chemical changes >
Kai: The study investigates the temperature evolution of the HF-ESR response in Fe3GeTe2 over a range from T equals three Kelvin to three hundred Kelvin at excitation frequencies close to three hundred gigahertz >
Mira: They found that the resonance shift, δH(T), remains finite for both field orientations even up to temperatures around three hundred Kelvin, which is about eighty-five Kelvin above the Curie temperature TC of two hundred fifteen Kelvin >
Lev: That suggests there might be some kind of short-range spin correlations in Fe3GeTe2 that stay static on the HF-ESR timescale, which is something we have to consider for real hardware running at those temperatures >
Kai: They model the total anisotropy field as the sum of two components, Ha equals Hint plus HD >
Mira: The intrinsic magnetocrystalline anisotropy field, Hint is negative over the entire measurement temperature range, confirming that the intrinsic magnetocrystalline anisotropy of Fe3GeTe2 is of the easy-axis type >
Lev: So we’re saying the fundamental way this material wants to point up or down is fixed regardless of how hot or cold you get it >
Kai: They can approximate the magnon excitation gap by looking at the temperature dependence of total anisotropy field Ha for the H parallel c configuration using Equation two point one > <ref:2607.24543#pg1>
Mira: At T equals fifteen Kelvin, they estimate the zero-field magnon gap to be nine seventy point four plus eleven point seven gigahertz, which is about zero point four zero three meV >
Lev: That estimation of zero field gap at fifteen Kelvin gives us a concrete number we can use for initial simulations of spin wave excitations on real systems >
Kai: So the overall conclusion of this paper, "Magnetic anisotropy in the near-stoichiometric van der Waals ferromagnet Fe three GeTe two" is that these findings establish Fe3GeTe2 as a model platform for exploring tunable spin-wave excitations and anisotropies in metallic van der Waals ferromagnets > <ref:2607.24543#pg1,Magnetic anisotropy in the near-stoichiometric van der Waals ferromagnet>
Mira: The study concludes that even small variations in Fe content can lead to substantial changes in the magnon gap at low temperatures, which highlights the extreme sensitivity of spin dynamics to chemical composition in this Fe3GeTe2 >
Lev: It really shows that for experimentalists building real devices, you have to be extremely careful with your material synthesis because a tiny bit of error in stoichiometry can change your entire energy spectrum >
Kai: This paper really solidifies the idea that these materials are excellent for tuning spin-wave excitations and anisotropy, which is what I was hoping to see from this system >
Conclusion: Kai: So we’ve been looking at how these two-dimensional van der Waals ferromagnets behave under electron spin resonance, and now we’re wrapping up this study on Fe3GeTe2.
Mira: Yeah, the focus of this work is really pinning down the magnetic anisotropy in this specific series of compounds, Fe3−xGeTe2.
Lev: It’s about taking these measurements across a lot of frequencies and temperatures to get some hard numbers on the spin dynamics.
Kai: The authors are presenting data from single-crystalline almost stoichiometric Fe3 point three±zero point 03GeTe2, which is pretty specific material chemistry you have to consider for any experiment <ref:2607.24543#pg3>.
Mira: They confirm that this material is an easy-axis ferromagnet, and the easy axis is straight along the crystallographic c-direction of the crystal structure.
Lev: That means if we were building a device with this material, we’d want to orient it along that c-axis for the lowest magnetic energy states.
Kai: They found some pretty specific numbers on that anisotropy, like a uniaxial magnetocrystalline anisotropy Kint of about negative five times one thousand erg cm−three at three Kelvin.
Mira: That number translates into a magnon gap of about eighty-seven point eight gigahertz, which is zero point three six three meV in energy units.
Lev: Eighty-seven gigahertz at three Kelvin is a real energy scale you can calculate for spin waves, but it’s low enough that thermal fluctuations might mess with the coherence if we were running this on actual hardware.
Kai: The paper shows how sensitive the magnon gap is to the Fe content; even small variations in composition cause big shifts in those low-temperature dynamics.
Mira: They found that as you increase the Fe occupancy, that gap goes down quite a bit, following an approximately exponential trend.
Lev: That sensitivity means stoichiometry control becomes extremely important for making predictable spin wave excitations in these systems.
Kai: Overall, this study establishes Fe3GeTe2 as a solid model system for exploring how to tune spin waves and anisotropies in metallic van der Waals ferromagnets.
Mira: It really shows that even small changes in the chemical recipe can cause substantial shifts in the low-temperature spin dynamics.
Lev: So, if you’re looking at designing quantum simulators or spintronic devices, this paper gives you a clear roadmap of where to look for tunable magnetic properties.
Kai: Next up, we’ll talk about how these findings set the stage for what kind of future work is needed to exploit this sensitivity further.
Leibniz Institute for Solid State and Materials Research · Institute for Solid State and Materials Physics, TU Dresden · S. N. Bose National Centre for Basic Sciences · Indian Association for the Cultivation of Science, Jadavpur · Institute for Solid State and Materials Physics and Würzburg-Dresden Cluster of Excellence ctd.qmat
cond-mat.str-el, cond-mat.mtrl-sci
Submitted: 2026-07-27
Updated: 2026-07-27
Comments: 17 pages, 16 figures
Journal ref: Physical Review B, 2026
DOI: 10.1103/27h2-qnt8
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Importance score: 81/100
The gist: Quasi-two-dimensional (2D) van der Waals (vdW) ferromagnets such as the series Fe3−xGeTe2 offer an ideal platform for investigating itinerant magnetism in reduced dimensions <ref:2607.24543#pg2>
Key concepts
- Magnon Gap
- This is the energy difference between the lowest spin excitations (magnons) in a magnetic material. A larger gap means it takes more energy to excite these spin waves, which is directly related to the material's magnetic stability and anisotropy.
- Magnetocrystalline Anisotropy
- This refers to the material's inherent tendency for its magnetization to align along specific crystallographic directions. In this study, it was found that Fe3GeTe2 has a strong, easy-axis type anisotropy aligned along the crystal's c-direction.
- Stoichiometry Sensitivity
- The paper demonstrates that the magnetic properties, specifically the magnon gap at low temperatures, are extremely sensitive to small variations in chemical composition. Changing the iron content slightly causes a sharp decrease in this energy gap, showing how much material purity affects spin dynamics.
Terminology
Summary
Quasi-two-dimensional (2D) van der Waals (vdW) ferromagnets such as the series Fe3−xGeTe2 offer an ideal platform for investigating itinerant magnetism in reduced dimensions <ref:2607.24543#pg2> Here, we present a comprehensive electron spin resonance (ESR) investigation of single-crystalline almost stoichiometric Fe3.03±0.03GeTe2 across wide ranges of frequencies, temperatures, and magnetic fields to gain quantitative insights into its magnetic anisotropy and spin dynamics <ref:2607.24543#pg2> Frequency-dependent ESR measurements establish Fe3GeTe2 as an easy-axis ferromagnet <ref:2607.24543#pg2>
Magnetic Characterization and Anisotropy
The study confirms that Fe3GeTe2 is an easy-axis ferromagnet with the easy axis aligned along the crystallographic c-direction <ref:2607.24543#pg2> High-frequency and high-field (HF-) ESR studies reveal a strong uniaxial magnetocrystalline anisotropy Kint ≈ −5×106 erg cm−3 at 3 K <ref:2607.24543#pg2> This results in a large magnon gap ∆(3 K) ≈ 87.8 ± 13.7 GHz (≈ 0.363 ± 0.057 meV) <ref:2607.24543#pg2> The intrinsic magnetocrystalline anisotropy energy reaches ∼ −5 × 10 6 erg cm−3 at 3 K <ref:2607.24543#pg2> Furthermore, the absence of measurable in-plane anisotropy in this Fe3GeTe2 sample is consistent with earlier findings from magnetization studies <ref:2607.24543#pg2>
Sensitivity to Stoichiometry
The research highlights that small variations in Fe content lead to substantial changes in the magnon gap at low temperatures, indicating the extreme sensitivity of spin dynamics to the chemical composition <ref:2607.24543#pg2> A comparison across different Fe compositions shows that the gap decreases sharply with increasing Fe occupancy, following an approximately exponential trend <ref:2607.24543#pg2> For instance, the gap reduces from ∼ 895 GHz for n = 2.75 to ∼ 88 GHz for the near-stoichiometric, slightly Fe-rich composition investigated in the present work <ref:2607.24543#pg2> In contrast, the Curie temperature TC exhibits a markedly different behavior, increasing nearly linearly with Fe content <ref:2607.24543#pg2>
Temperature Evolution of Spin Dynamics
The temperature evolution of the HF-ESR response in Fe3GeTe2 was investigated over the range T = 3 − 300 K at excitation frequencies close to 300 GHz <ref:2607.24543#pg2> The resonance shift (δH(T)) remains finite for both field orientations even at temperatures up to ∼ 300 K, approximately 85 K above the TC ≈ 215 K of Fe3GeTe2 <ref:2607.24543#pg2> This behavior indicates the possible presence of short-range spin correlations in Fe3GeTe2 that remain static on the HF-ESR timescale <ref:2607.24543#pg2>
Model for Anisotropy Control
The total anisotropy field at each temperature can be expressed as the sum of two components Ha = Hint + HD <ref:2607.24543#pg2> The intrinsic magnetocrystalline anisotropy field Hint is negative over the entire measurement temperature range, confirming that the intrinsic magnetocrystalline anisotropy of Fe3GeTe2 is of the easy-axis type <ref:2607.24543#pg2> The magnon excitation gap can be approximately estimated from the temperature dependence of total anisotropy field Ha for the H∥ c configuration using Eq. 2.1 <ref:2607.24543#pg2> At T = 15 K, the zero-field magnon gap is estimated as ∆15K = 97.4 ± 11.7 GHz (≈ 0.403 ± 0.045 meV) <ref:2607.24543#pg2>
Conclusion
These findings establish the Fe3GeTe2 as a model platform for exploring tunable spin-wave excitations and anisotropies in metallic vdW ferromagnets <ref:2607.24543#pg2> The study concludes that even small variations in Fe content can lead to substantial changes in the magnon gap at low temperatures, highlighting the extreme sensitivity of spin dynamics to chemical composition in this Fe3GeTe2 <ref:2607.24543#pg2>
ACKNOWLEDGMENTS
The authors acknowledge R. Kluge and S. Wurmehl for the EDX measurements <ref:2607.24543#pg2> R. Pal acknowledges the Department of Science and Technology (DST), SNBNCBS, and IFW Dresden for funding <ref:2607.24543#pg2> S. Bera thanks CSIR, Govt. of India, for the Research Fellowship with Grant No. 09/080(1110)/2019-EMR-I M. Mondal acknowledges funding from the DST, Government of India (CRG/2023/001100), and CSIR-Human Resource Development Group (HRDG) (project-id 247310070) A. N. Pal acknowledges funding from the DST Nano Mission with grant No. DST/NM/TUE/QM-10/2019 This work was supported by the Deutsche Forschungsgemeinschaft (DFG) through grants No. AL 1771/8-1 (Project No. 499461434), and within the Collaborative Research Center SFB 1143 “Correlated Magnetism – From Frustration to Topology” (project-id 390858490)
APPENDIX A
Energy-dispersive X-ray spectroscopy (EDX) measurements were carried out on the freshly cleaved bulk singlecrystal sample of Fe3GeTe2 <ref:2607.24543#pg2> The corresponding EDX spectra, atomic percentages, and the scanning electron microscopy image are shown in Fig. A1 <ref:2607.24543#pg2> Measurements performed at multiple (more than ten) cleaved positions across the crystal indicate good compositional homogeneity with small error bars <ref:2607.24543#pg2> The analysis reveals a slightly Fe-rich and near-stoichiometric composition, with average elemental contents of Fe = 3.03 ± 0.03, Ge = 0.89 ± 0.4 Te = 2.0 (see Appendix A) <ref:2607.24543#pg2>
APPENDIX B
Frequency dependence of the resonance fields at 300 K
Figure A2 Frequency dependence of the resonance fields Hres at T = 3 K and 100 K measured in H∥ c (blue squares) and in H⊥ c (red circles) configurations, respectively <ref:2607.24543#pg2> Dashed lines represent the paramagnetic response estimated with Eq. 1 (main text) with the average g-factors given in the legends <ref:2607.24543#pg2>
APPENDIX C
In-plane anisotropy from HF-ESR Measurements
Figure A3 Frequency dependence of the resonance fields Hres measured at (a) 3 K and (b) 100 K along two mutually orthogonal in-plane directions, labeled IP1 (H⊥ c) and IP2 (newly measured, perpendicular to the IP1 in-plane) <ref:2607.24543#pg2> The data demonstrate that, within the margin of error, both orientations produce comparable outcomes at both temperatures <ref:2607.24543#pg2>
APPENDIX D
Temperature dependence of the resonance field
Figure A4 Temperature dependence of the resonance field, Hres, at a microwave frequency ν of ≈ 300 GHz with an external magnetic field applied parallel (blue circles) and perpendicular (red circles) to the c axis <ref:2607.24543#pg2>
APPENDIX E
Magnetic field dependence of the magnetization
Figure A5 Magnetic field dependence of the magnetization measured for (a) H∥ c and (b) H⊥ c configurations at different temperatures, showing that the magnetic easy axis is the c-axis of the Fe3GeTe2 crystal <ref:2607.24543#pg2>
APPENDIX F
Magnetic-field-induced increase of the ordering temperature
To investigate the magnetic-field dependence of Curie temperature, TC, we performed temperature-dependent magnetization (M–T) measurements under various external magnetic fields (H) applied along the magnetic easy axis (c-axis) of the Fe3GeTe2 crystal <ref:2607.24543#pg2> Here, for magnetic fields above 0.5 T, TC increases monotonically with increasing H and reaches ∼ 245 K at 7 T <ref:2607.24543#pg2>
APPENDIX G
Calculation of total magnetic anisotropy energy (MAE) from static magnetization data
To qualitatively determine the temperature dependence of the total anisotropy field, another method, known as the area method, was employed <ref:2607.24543#pg2> The temperature-dependent values of Keff obtained from this analysis are presented and compared with those obtained from HF-ESR data <ref:2607.24543#pg2>
APPENDIX H
Temperature dependence of total magnetic anisotropy energy (MAE)
Figure A8 Temperature dependence of total MAE (Keff) is estimated from the HF-ESR data, with an external magnetic field applied parallel (blue diamonds) and perpendicular (red triangles) to the c axis <ref:2607.24543#pg2>
APPENDIX I
Temperature dependence of the saturation magnetization
Figure A9 Temperature dependence of the saturation magnetization Ms for H∥ c configuration <ref:2607.24543#pg2>
APPENDIX J
Temperature dependence of the demagnetization field and estimated intrinsic magnetic anisotropy field
Figure A10 Temperature dependence of the demagnetization field HD, estimated from the temperature-dependent saturation magnetization data and the calculated demagnetization factor <ref:2607.24543#pg2> Figure A10 (b) Temperature dependence of the intrinsic magnetic anisotropy field (Hint), estimated from total magnetic anisotropy field and demagnetization field, in the H⊥ c and H∥ c configurations, respectively <ref:2607.24543#pg2>
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Improvements for AI systems
-
Adaptive Material Property Prediction for vdW Ferromagnets: The AI system can predict how small variations in Fe content, such as changing from Fe3GeTe2 to a near-stoichiometric composition like Fe3.03±0.03GeTe2, will impact the magnon excitation gap at low temperatures. This capability is derived from the finding that
small variations in Fe content in Fe3GeTe2 lead to substantial changes in the magnon gap at low temperatures.
-
Anisotropic Spin Dynamics Modeling: The system can model and predict the frequency dependence of resonance fields Hres based on temperature and magnetic field orientation, using equations like Eq. 2.1 and 2.2 for uniaxial easy-axis ferromagnets. This allows the AI to simulate the expected
positive intercept on the frequency axis
observed for H || c at T = 3 K, confirminga ferromagnetic behavior with a uniaxial easy-axis anisotropy.
-
Intrinsic Anisotropy Quantification: The improved system can calculate and distinguish between intrinsic magnetocrystalline anisotropy (Hint) and shape anisotropy (HD) by analyzing the temperature dependence of resonance fields. This enables the AI to determine that
the intrinsic magnetocrystalline anisotropy of Fe3GeTe2 is of the easy-axis type
and quantify its magnitude, such asKint = HintMs/2 was evaluated for both magnetic field orientations.
-
Stoichiometry-Dependent Spin Excitation Mapping: The AI can create a predictive map showing the relationship between Fe content (n) and the zero-field magnon excitation gap. It can predict that
the gap decreases sharply with increasing Fe occupancy, following an approximately exponential trend,
providing a quantitative tool for tuning spin dynamics based on chemical composition. -
Short-Range Correlation Detection: The system can identify the presence of short-range spin correlations above the Curie temperature by analyzing the temperature dependence of the resonance shift deltaH(T). This is evidenced by observing that
the resonance shift (deltaH(T)) remains finite for both field orientations even at temperatures up to 300 K,
indicatingthe possible presence of short-range spin correlations in Fe3GeTe2.
Sources
- Spin Reorientation Driven Renormalization of Spin-Phonon Coupling in Fe 4 GeTe 2
- Magnon Damping as a Probe of Kondo Coupling in Magnetically Ordered Systems
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