In-Plane Ferromagnetism and Critical Dynamics in Alkali-Deficient K_(1-x)CrTe₂ (with x approx 0.3) Single Crystals
Pith reviewed 2026-05-21 04:09 UTC · model grok-4.3
The pith
Alkali-deficient K1-xCrTe2 crystals exhibit in-plane ferromagnetism with a sharp transition at 117 K and ferromagnetic alignment between layers.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Single crystals of K1-xCrTe2 with x approximately 0.3 crystallize in the Cm space group with trigonal prismatic K+ coordination. Magnetization measurements establish a sharp ferromagnetic transition at Tc equals 117 K together with in-plane anisotropy, corroborated by density functional theory. Neutron diffraction shows that the Cr spins order ferromagnetically within the layers and maintain ferromagnetic alignment between layers. This contrasts with the out-of-plane A-type antiferromagnetism of LiCrTe2 and NaCrTe2 but matches CrTe2, with the differences attributed to altered interlayer spacing, chromium oxidation state, or stacking sequence.
What carries the argument
The Cm space group structure with trigonal prismatic potassium coordination that alters interlayer spacing and stacking relative to the octahedral environments of stoichiometric ACrX2 compounds.
If this is right
- AC susceptibility and muon spin rotation detect short-range order persisting above the 117 K transition.
- Dynamic magnetic fluctuations appear below Tc.
- The compound offers a composition-tunable platform for exploring spin orientation and effective dimensionality in two-dimensional magnets.
Where Pith is reading between the lines
- Systematic variation of the alkali deficiency level x could map how interlayer coupling evolves across the ferromagnetic-antiferromagnetic boundary.
- The in-plane anisotropy may simplify device fabrication in planar geometries compared with out-of-plane systems.
- Analogous deficiency engineering might be tested in other layered chromium chalcogenides to control magnetic order.
Load-bearing premise
The observed switch to in-plane ferromagnetism is caused by the specific Cm structure and trigonal prismatic coordination rather than by uncontrolled defects or impurities.
What would settle it
Neutron diffraction performed on a similarly deficient crystal that instead shows out-of-plane spin alignment would contradict the reported in-plane ferromagnetic order.
read the original abstract
Layered chromium tellurides are model systems for studying low-dimensional magnetism in van der Waals materials. We report the synthesis and characterization of K$_{1-x}$CrTe$_2$ single crystals ($x \approx 0.3$), which crystallize in the $Cm$ space group with trigonal prismatic K$^+$ coordination, unlike the octahedral environments of more stoichiometric ACrX$_2$ compounds. Magnetization measurements show a sharp ferromagnetic transition at $T_{\rm C}=117$ K and in-plane magnetic anisotropy, supported by density functional theory. Neutron diffraction reveals ferromagnetic alignment of Cr spins within and between layers. This contrasts with the out-of-plane A-type antiferromagnetism in LiCrTe$_2$ and NaCrTe$_2$, but resembles CrTe$_2$. These differences likely arise from changes in interlayer spacing, Cr oxidation state, or stacking. AC susceptibility and $\mu$SR indicate short-range order above $T_{\rm C}$ and dynamic behavior below. Overall, K$_{1-x}$CrTe$_2$ provides a tunable platform for studying spin orientation and dimensionality in two-dimensional magnets.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports the synthesis of alkali-deficient K_{1-x}CrTe_2 (x ≈ 0.3) single crystals that crystallize in the Cm space group with trigonal prismatic K^+ coordination. Magnetization measurements establish a sharp ferromagnetic transition at T_C = 117 K with in-plane anisotropy, supported by DFT calculations. Neutron diffraction confirms ferromagnetic alignment of Cr spins both within and between layers. This contrasts with the out-of-plane A-type antiferromagnetism in LiCrTe_2 and NaCrTe_2 but resembles CrTe_2; the differences are attributed to changes in interlayer spacing, Cr oxidation state, or stacking. AC susceptibility and μSR data indicate short-range order above T_C and dynamic behavior below T_C.
Significance. If the central observations hold, the work adds a tunable van der Waals platform for studying in-plane ferromagnetism and spin dynamics in layered chromium tellurides. The combination of bulk magnetization, neutron diffraction, AC susceptibility, and μSR provides multi-probe support for the transition temperature, anisotropy, and spin alignment, which is a strength. The structural distinction from stoichiometric analogs and its correlation with magnetic order could inform design principles for 2D magnets with controlled spin orientation.
major comments (2)
- [Abstract and magnetization measurements] Abstract and magnetization section: the reported T_C = 117 K is presented without error bars or explicit description of the fitting procedure (e.g., derivative of M(T) or Arrott-plot analysis) used to extract the transition temperature from the raw data. This detail is needed to evaluate the sharpness and precision of the claimed ferromagnetic transition.
- [Neutron diffraction] Neutron diffraction section: the claim of ferromagnetic alignment both within and between layers is central, yet the text does not report the refined magnetic moment magnitude, the magnetic propagation vector, or the goodness-of-fit metrics for the magnetic structure model. These quantities are required to substantiate the intra- and inter-layer ferromagnetic order against possible alternative models.
minor comments (2)
- [Discussion] The attribution of magnetic differences to interlayer spacing or oxidation state is presented as plausible inference; a quantitative comparison of the refined lattice parameters or bond lengths with LiCrTe_2/NaCrTe_2 would make this discussion more concrete.
- [Methods and figures] Figure captions and methods should include the precise value of x determined by chemical analysis or refinement, along with any uncertainty, rather than the approximate x ≈ 0.3.
Simulated Author's Rebuttal
We thank the referee for their careful reading of the manuscript and for the positive recommendation of minor revision. We address each of the major comments point by point below and will update the manuscript to incorporate the requested clarifications and quantitative details.
read point-by-point responses
-
Referee: [Abstract and magnetization measurements] Abstract and magnetization section: the reported T_C = 117 K is presented without error bars or explicit description of the fitting procedure (e.g., derivative of M(T) or Arrott-plot analysis) used to extract the transition temperature from the raw data. This detail is needed to evaluate the sharpness and precision of the claimed ferromagnetic transition.
Authors: We thank the referee for this suggestion. The reported T_C was determined from the minimum in dM/dT of the field-cooled magnetization curve. In the revised manuscript we will explicitly describe this procedure, report T_C with uncertainty derived from the width of the derivative peak, and include error bars on the quoted value to allow readers to assess the sharpness and precision of the transition. revision: yes
-
Referee: [Neutron diffraction] Neutron diffraction section: the claim of ferromagnetic alignment both within and between layers is central, yet the text does not report the refined magnetic moment magnitude, the magnetic propagation vector, or the goodness-of-fit metrics for the magnetic structure model. These quantities are required to substantiate the intra- and inter-layer ferromagnetic order against possible alternative models.
Authors: We agree that these quantitative metrics are important for rigor. The magnetic structure was refined in the Cm space group with propagation vector (0,0,0). In the revised manuscript we will report the refined Cr magnetic moment, explicitly state the propagation vector, and include the goodness-of-fit indicators (e.g., R_wp or χ²) for the magnetic model so that the intra- and inter-layer ferromagnetic order can be evaluated against alternatives. revision: yes
Circularity Check
No significant circularity
full rationale
The paper's central claims rest on direct experimental measurements including magnetization data establishing a sharp ferromagnetic transition at Tc=117 K with in-plane anisotropy, neutron diffraction confirming ferromagnetic Cr spin alignment within and between layers, and supporting probes such as AC susceptibility and μSR. Standard density functional theory calculations provide corroboration without any reported self-referential fitting or prediction loops. Structural assignment to the Cm space group and inferences about differences versus LiCrTe2/NaCrTe2 are presented as observations and plausible interpretations from interlayer spacing and coordination, not as outputs derived from the target results themselves. No load-bearing steps reduce by construction to inputs, self-citations, or ansatzes; the work is self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
axioms (2)
- domain assumption Standard interpretation of neutron diffraction data for determining ferromagnetic spin alignment in layered compounds
- domain assumption DFT calculations reliably predict magnetic anisotropy direction in these tellurides
Lean theorems connected to this paper
-
IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
Magnetization measurements show a sharp ferromagnetic transition at Tc=117 K and in-plane magnetic anisotropy, supported by density functional theory. Neutron diffraction reveals ferromagnetic alignment of Cr spins within and between layers.
-
IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
We determine the parameters of the Heisenberg Hamiltonian H = ∑ Jij Si · Sj ... DFT energy mapping technique
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
L. Shacklette, T. Jow, L. Townsend, Rechargeable electrodes from sodium cobalt bronzes.J. Electrochem. Soc.135, 2669–2674 (1988)
work page 1988
-
[2]
Y. Wang, N. S. Rogado, R. J. Cava, N. P. Ong, Spin entropy as the likely source of enhanced thermopower in NaxCo2O4.Nature423, 425–428 (2003)
work page 2003
-
[3]
I. Terasaki, Y. Sasago, K. Uchinokura, Large thermoelectric power in NaCo2O4 single crystals. Phys. Rev. B56, R12685–R12687 (1997)
work page 1997
-
[4]
M. L. Foo, Y. Wang, S. Watauchi, H. Zandbergen, T. He, R. Cava, N. Ong, Charge ordering, commensurability, and metallicity in the phase diagram of the layered Na xCoO2.Phys. Rev. Lett.92, 247001 (2004)
work page 2004
- [5]
-
[6]
T. Schulze, P. H ¨afliger, C. Niedermayer, K. Mattenberger, S. Bubenhofer, B. Batlogg, Direct link between low-temperature magnetism and high-temperature sodium order in Na xCoO2. Phys. Rev. Lett.100, 026407 (2008). 17
work page 2008
-
[7]
M. Medarde, M. Mena, J. Gavilano, E. Pomjakushina, J. Sugiyama, K. Kamazawa, V. Y. Pomjakushin, D. Sheptyakov, B. Batlogg, H. Ott,et al., 1D to 2D Na+ ion diffusion inherently linked to structural transitions in Na0.7CoO2.Phys. Rev. Lett.110, 266401 (2013)
work page 2013
- [8]
- [9]
- [10]
-
[11]
J. Sugiyama, K. Mukai, Y. Ikedo, H. Nozaki, M. M˚ansson, I. Watanabe, Li diffusion in LixCoO2 probed by muon-spin spectroscopy.Phys. Rev. Lett.103, 147601 (2009)
work page 2009
-
[12]
E. Nocerino, S. Kobayashi, C. Witteveen, O. K. Forslund, N. Matsubara, C. Tang, T. Matsukawa, A. Hoshikawa, A. Koda, K. Yoshimura,et al., Competition between magnetic interactions and structural instabilities leading to itinerant frustration in the triangular lattice antiferromagnet LiCrSe2.Comm. Mater.4, 81 (2023)
work page 2023
-
[13]
S. Kobayashi, N. Katayama, T. Manjo, H. Ueda, C. Michioka, J. Sugiyama, Y. Sassa, O. K. Forslund, M. M˚ansson, K. Yoshimura,et al., Linear trimer formation with antiferromagnetic or- dering in 1T-CrSe2 originating from Peierls-like instabilities and interlayer Se–Se interactions. Inorg. Chem.58, 14304–14315 (2019)
work page 2019
-
[15]
X. Song, G. Cheng, D. Weber, F. Pielnhofer, S. Lei, S. Klemenz, Y.-W. Yeh, K. A. Filsinger, C. B. Arnold, N. Yao,et al., Soft chemical synthesis of HxCrS2: an antiferromagnetic material with alternating amorphous and crystalline layers.J. Am. Chem. Soc.141, 15634–15640 (2019). 18
work page 2019
-
[17]
W. Xu, S. Ali, Y. Jin, X. Wu, H. Xu, Intrinsic ferromagnetic semiconductors in two-dimensional alkali-based chromium chalcogenides.ACS Appl. Electron. Mater.2, 3853–3858 (2020)
work page 2020
- [18]
-
[19]
F. Eder, C. Witteveen, E. Giannini, F. O. von Rohr, Structural modulation and enhanced magnetic ordering in incommensurate K1 –xCrSe2 crystals.J. Am. Chem. Soc.147, 4896-4903 (2025)
work page 2025
-
[20]
F. Eder, C. Witteveen, E. Giannini, F. O. von Rohr, Stoichiometry and phase control in K1 –xCrSe2 via self-flux synthesis.Chem. Mater.37, 9204–9211 (2025)
work page 2025
- [21]
-
[22]
F. Engelsman, G. Wiegers, F. Jellinek, B. Van Laar, Crystal structures and magnetic structures of some metal (I) chromium (III) sulfides and selenides.J. Solid State Chem.6, 574–582 (1973)
work page 1973
-
[23]
C. Witteveen, E. Nocerino, S. A. L ´opez-Paz, H. O. Jeschke, V. Y. Pomjakushin, M. M˚ansson, F. O. von Rohr, Synthesis and anisotropic magnetic properties of LiCrTe2 single crystals with a triangular-lattice antiferromagnetic structure.J. Phys. Mater.6, 035001 (2023)
work page 2023
-
[24]
D. C. Freitas, R. Weht, A. Sulpice, G. Remenyi, P. Strobel, F. Gay, J. Marcus, M. N´ u ˜nez- Regueiro, Ferromagnetism in layered metastable 1T-CrTe 2.J. Phys.: Condens. Matter27, 176002 (2015)
work page 2015
-
[25]
K. D. R ¨oseler, C. Witteveen, C. Besnard, V. Pomjakushin, H. O. Jeschke, F. O. von Rohr, Efficient soft-chemical synthesis of large van-der-Waals crystals of the room-temperature ferromagnet 1T-CrTe2.J. Mater. Chem. A13, 15798-15809 (2025). 19
work page 2025
- [26]
-
[27]
Materials and methods are available as supplementary material
-
[28]
E. Nocerino, C. Witteveen, S. Kobayashi, O. K. Forslund, N. Matsubara, A. Zubayer, F. Mazza, S. Kawaguchi, A. Hoshikawa, I. Umegaki,et al., Nuclear and magnetic spin structure of the antiferromagnetic triangular lattice compound LiCrTe 2 investigated by𝜇 +SR, neutron and X-ray diffraction.Sci. Rep.12, 21657 (2022)
work page 2022
-
[29]
S. Kobayashi, H. Ueda, C. Michioka, K. Yoshimura, Competition between the direct ex- change interaction and superexchange interaction in layered compounds LiCrSe2, LiCrTe2, and NaCrTe2 with a triangular lattice.Inorg. Chem.55, 7407–7413 (2016)
work page 2016
-
[30]
X. Song, S. N. Schneider, G. Cheng, J. F. Khoury, M. Jovanovic, N. Yao, L. M. Schoop, Kinetics and evolution of magnetism in soft-chemical synthesis of CrSe 2 from KCrSe2.Chem. Mater. 33, 8070–8078 (2021)
work page 2021
-
[31]
A. Ushakov, D. Kukusta, A. Yaresko, D. Khomskii, Magnetism of layered chromium sulfides MCrS2 (M= Li, Na, K, Ag, and Au): A first-principles study.Phys. Rev. B87, 014418 (2013)
work page 2013
-
[32]
Y. Ono, R. Ishikawa, Y. Miyazaki, Y. Ishii, Y. Morii, T. Kajitani, Crystal structure, electric and magnetic properties of layered cobaltite𝛽-Na xCoO2.J. Solid State Chem.166, 177–181 (2002)
work page 2002
-
[33]
Y. Miyazaki, N. Igawa, K. Yubuta, Incommensurately modulated crystal structure of𝛼 ′(O’3)- type sodium cobalt oxide NaxCoO2 (𝑥∼0.78).Acta Cryst. B77, 371–377 (2021)
work page 2021
-
[34]
C. Van Bruggen, J. Bloembergen, A. Bos-Alberink, G. Wiegers, Magnetic and electrical properties related to structural transitions in Na xVS2 and NaxVSe2.J. Less Common Met.60, 259–282 (1978)
work page 1978
-
[35]
G. Wiegers, Physical properties of first-row transition metal dichalcogenides and their interca- lates.Physica B+C99, 151–165 (1980). 20
work page 1980
-
[36]
K. G. Nikiforov, Magnetically ordered multinary semiconductors.Prog. Cryst. Growth Char- act. Mater.39, 1–104 (1999)
work page 1999
-
[37]
S. A. L ´opez-Paz, Z. Guguchia, V. Y. Pomjakushin, C. Witteveen, A. Cervellino, H. Luetkens, N. Casati, A. F. Morpurgo, F. O. von Rohr, Dynamic magnetic crossover at the origin of the hidden-order in van der Waals antiferromagnet CrSBr.Nat. Commun.13, 4745 (2022)
work page 2022
-
[38]
K. Koepernik, H. Eschrig, Full-potential nonorthogonal local-orbital minimum-basis band- structure scheme.Phys. Rev. B59, 1743–1757 (1999)
work page 1999
-
[39]
J. P. Perdew, K. Burke, M. Ernzerhof, Generalized gradient approximation made simple.Phys. Rev. Lett.77, 3865–3868 (1996)
work page 1996
-
[40]
A. I. Liechtenstein, V. I. Anisimov, J. Zaanen, Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators.Phys. Rev. B52, R5467–R5470 (1995)
work page 1995
-
[41]
Nordheim, Zur Elektronentheorie der Metalle
L. Nordheim, Zur Elektronentheorie der Metalle. I.Annalen der Physik401, 607–640 (1931)
work page 1931
- [42]
- [43]
- [44]
-
[45]
X. Guo, W. Liu, J. Schwartz, S. H. Sung, D. Zhang, M. Shimizu, A. L. N. Kondusamy, L. Li, K. Sun, H. Deng, H. O. Jeschke, I. I. Mazin, R. Hovden, B. Lv, L. Zhao, Extraordinary phase transition revealed in a van der Waals antiferromagnet.Nat. Commun.15, 6472 (2024)
work page 2024
-
[46]
L. D. C. Jaubert, Y. Iqbal, H. O. Jeschke, Spin-peierls transition in the frustrated spinels ZnCr2O4 and MgCr2O4.Phys. Rev. Lett.134, 086702 (2025). 21
work page 2025
-
[47]
G. J. Nilsen, R. Wawrzy´nczak, H. O. Jeschke, H. Mutka, T. Masuda, N. Casati, V. Pomjakushin, Z. Hiroi, Y. Okamoto, Spin waves and magnetic hamiltonian in the low-temperature phase of liincr4o8.Phys. Rev. B112, L020403 (2025)
work page 2025
-
[48]
T. Mizokawa, A. Fujimori, Electronic structure and orbital ordering in perovskite-type 3d transition-metal oxides studied by Hartree-Fock band-structure calculations.Phys. Rev. B54, 5368–5380 (1996)
work page 1996
- [49]
- [50]
-
[51]
J. Valenta, M. Kratochv´ılov´a, M. M´ıˇsek, K. Carva, J. Kaˇstil, P. Doleˇ zal, P. Opletal, P.ˇCerm´ak, P. Proschek, K. Uhl´ıˇrov´a,et al., Pressure-induced large increase of Curie temperature of the van der Waals ferromagnet VI3.Phys. Rev. B103, 054424 (2021)
work page 2021
-
[52]
E. Nocerino, J. Sugiyama, O. K. Forslund, I. Umegaki, S. Kobayashi, K. Yoshimura, Y. Sassa, M. M˚ansson, Cr-Cr distance and magnetism in the phase diagram of triangular lattice antifer- romagnets: A systematic comparative study.Phys. Rev. Mater.8, 084403 (2024)
work page 2024
-
[53]
P. C. Canfield, T. Kong, U. S. Kaluarachchi, N. H. Jo, Use of frit-disc crucibles for routine and exploratory solution growth of single crystalline samples.Phil. Mag.96, 84–92 (2016)
work page 2016
-
[54]
Agilent Technologies Ltd, Yarnton, Oxfordshire, England
Agilent, CrysAlis PRO. Agilent Technologies Ltd, Yarnton, Oxfordshire, England. (2022)
work page 2022
-
[55]
P. Fischer, G. Frey, M. Koch, M. K¨onnecke, V. Pomjakushin, J. Schefer, R. Thut, N. Schlumpf, R. B¨ urge, U. Greuter,et al., High-resolution powder diffractometer HRPT for thermal neutrons at SINQ.Physica B276, 146–147 (2000)
work page 2000
-
[56]
J. Rodr´ıguez-Carvajal, Recent advances in magnetic structure determination by neutron powder diffraction.Physica B: Condensed Matter192, 55–69 (1993). 22
work page 1993
-
[57]
H. T. Stokes, D. M. Hatch, B. J. Campbell, ISODISTORT, ISOTROPY Software Suite
-
[58]
A. Amato, H. Luetkens, K. Sedlak, A. Stoykov, R. Scheuermann, M. Elender, A. Raselli, D. Graf, The new versatile general purpose surface-muon instrument (GPS) based on silicon photomultipliers for𝜇SR measurements on a continuous-wave beam.Rev. Sci. Instrum.88 (2017). Acknowledgments The authors thank Enrico Giannini for helpful discussions about the magne...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.