ESR Investigations of the Magnetic Anisotropy in kappa-(BETS)₂Mn[N(CN)₂]₃
Pith reviewed 2026-05-16 17:16 UTC · model grok-4.3
The pith
ESR analysis reveals two magnetically distinct BETS chains and anisotropic Zeeman interaction in κ-(BETS)₂Mn[N(CN)₂]₃.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Through comprehensive temperature- and angle-dependent ESR measurements, the π-d coupling produces a rearrangement of the π-spins that shifts the g-factor enormously with a flipping in-plane anisotropy, broadens the lines, and increases the susceptibility with a kink at the transition; angular analysis of g(θ) and ΔH(θ) isolates anisotropic Zeeman interaction in addition to spin-phonon coupling, establishing two magnetically distinct BETS chains and opening discussion of altermagnetic order.
What carries the argument
Angular dependence of the g-factor g(θ) and ESR linewidth ΔH(θ), used to separate anisotropic Zeeman interaction from spin-phonon coupling under π-d coupling.
If this is right
- The g-factor shows enormous low-temperature shifts with a pronounced in-plane anisotropy that reverses upon cooling.
- ESR lines broaden significantly with decreasing temperature.
- Spin susceptibility rises upon cooling and exhibits a kink at the phase transition.
- Two magnetically distinct BETS chains are present.
- Altermagnetic order is possible in the coupled π-d system.
Where Pith is reading between the lines
- The chain distinction could produce separate contributions to magnetotransport or to any superconducting state that emerges under pressure or doping.
- Verification of altermagnetic order would benefit from neutron scattering or muon-spin rotation to detect the proposed staggered moments.
- Analogous molecular conductors with strong π-d coupling may display similar chain inequivalence when examined with angular ESR.
Load-bearing premise
The g-factor flip and linewidth changes arise solely from π-d coupling plus two distinct BETS chains, without dominant contributions from impurities, unaccounted structural changes, or other relaxation channels.
What would settle it
A high-resolution structural study finding only one type of BETS chain, or an ESR spectrum showing no g-factor flip once impurity signals are subtracted, would falsify the two-chain interpretation.
Figures
read the original abstract
The two-dimensional molecular conductor $\kappa$-(BETS)$_2$Mn[N(CN)$_2$]$_3$ has been studied because of the intriguing magnetic coupling of the molecular $\pi$-electrons to the Mn$^{2+}$ ions. Utilizing X-band electron spin resonance spectroscopy we have performed comprehensive investigations of the magnetic properties, in particular on the temperature and angular dependences of the spin susceptibility, the $g$-factor and the linewidth. Due to the $\pi$-$d$-coupling, a rearrangement of the $\pi$-spins occurs: At low temperatures the $g$-factor shifts enormously with a pronounced in-plane anisotropy that flips as the temperature decreases; the lines broaden significantly; and the spin susceptibility increases upon cooling with a kink at the phase transition. By carefully analyzing the angular dependence of $g(\theta)$ and $\Delta H(\theta)$ we reveal the influence of anisotropic Zeeman interaction in addition to spin-phonon coupling. We conclude the presence of two magnetically distinct BETS chains and discuss the possibility of altermagnetic order.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports X-band ESR measurements on the molecular conductor κ-(BETS)₂Mn[N(CN)₂]₃, examining the temperature and angular dependences of the g-factor, linewidth ΔH, and spin susceptibility. The authors attribute the observed g-factor flip with temperature, pronounced in-plane anisotropy, and linewidth broadening to anisotropic Zeeman interaction combined with spin-phonon coupling arising from π-d interactions, concluding the presence of two magnetically distinct BETS chains and discussing the possibility of altermagnetic order.
Significance. If the central interpretation holds, the work contributes to understanding π-d coupling and magnetic anisotropy in organic conductors, with potential relevance to altermagnetism in molecular systems. The experimental trends align with established ESR frameworks, but the tentative nature of the two-chain model and altermagnetic discussion limits broader impact without stronger quantitative support.
major comments (2)
- [Discussion] The interpretation of two magnetically distinct BETS chains (abstract and discussion) rests on angular dependence of g(θ) and ΔH(θ) without a quantitative model or simulation comparing single-chain vs. two-chain scenarios; a single anisotropic chain plus impurities could reproduce the flip and broadening, undermining the claim.
- [Results] No error bars, raw datasets, or explicit exclusion criteria for data points are provided (results section), making it impossible to assess the statistical significance of the kink in susceptibility or the g-factor anisotropy flip.
minor comments (2)
- [Introduction] Notation for the phase transition temperature is inconsistent between abstract and main text; define T_c explicitly in the introduction.
- [Discussion] The altermagnetic discussion is presented as a possibility but lacks even a schematic comparison to known altermagnets; either strengthen with references or move to outlook.
Simulated Author's Rebuttal
We thank the referee for the detailed review and valuable suggestions. We have carefully considered each comment and provide our responses below. We believe the revisions will strengthen the manuscript.
read point-by-point responses
-
Referee: The interpretation of two magnetically distinct BETS chains (abstract and discussion) rests on angular dependence of g(θ) and ΔH(θ) without a quantitative model or simulation comparing single-chain vs. two-chain scenarios; a single anisotropic chain plus impurities could reproduce the flip and broadening, undermining the claim.
Authors: We agree that a quantitative simulation would provide stronger support for the two-chain model. However, the temperature-dependent flip in g-anisotropy is difficult to explain with a single chain even with impurities, as it requires a rearrangement of π-spins due to π-d coupling that points to distinct chains. We have added a paragraph in the discussion section acknowledging this limitation and outlining why alternative explanations are less likely, while noting that future modeling would be beneficial. revision: partial
-
Referee: No error bars, raw datasets, or explicit exclusion criteria for data points are provided (results section), making it impossible to assess the statistical significance of the kink in susceptibility or the g-factor anisotropy flip.
Authors: The referee correctly points out the lack of error bars and raw data. In the revised manuscript, we have included error bars on all relevant plots, provided the raw datasets in a supplementary file, and added explicit criteria for data selection in the experimental section. revision: yes
Circularity Check
No significant circularity detected
full rationale
The manuscript is an experimental ESR study reporting temperature- and angle-dependent measurements of g-factor, linewidth ΔH, and spin susceptibility. All central claims (anisotropic Zeeman contribution, two magnetically distinct BETS chains, possible altermagnetic order) are obtained by direct fitting of the observed angular curves g(θ) and ΔH(θ) to standard ESR lineshape models that are independent of the present dataset. No equation is defined in terms of another quantity extracted from the same measurements, no parameter is fitted to a subset and then relabeled as a prediction, and no uniqueness theorem or ansatz is imported via self-citation. The analysis therefore remains self-contained against external benchmarks and receives the default non-circularity finding.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Standard ESR theory relating angular dependence of g and linewidth to Zeeman anisotropy and spin-phonon coupling
invented entities (1)
-
two magnetically distinct BETS chains
no independent evidence
Lean theorems connected to this paper
-
IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
By carefully analyzing the angular dependence of g(θ) and ΔH(θ) we reveal the influence of anisotropic Zeeman interaction in addition to spin-phonon coupling.
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]
Physikalisches Institut, Universit¨ at Stuttgart, Pfaffe nwaldring 57, 70569 Stuttgart, Germany 2Dresden High Magnetic Field Laboratory (HLD-EMFL), Helmholtz-Zentrum Dresden-Rossendorf, D-01328 Dresden, G ermany 3Federal Research Center of Problems of Chemical Physics and Medical Chemistry, Russian Academy of Sciences, 142432 Chernogolovka, Russia (Dated: ...
work page 2026
-
[2]
ESR Investigations of the Magnetic Anisotropy in $\kappa$-(BETS)$_2$Mn[N(CN)$_{2}$]$_3$
The polymeric anionic structure con- tains one Mn atom at the inversion center and two inde- pendent N(CN) 2 ligands. Each Mn atom is connected to six neighboring metal atoms via N(CN) 2 bridges. [10, 23]. The two types of (BETS) + 2 dimers, labeled A (red squares) and B (blue squares), are distinguished by symmetry as they are slightly tilted against the...
work page internal anchor Pith review Pith/arXiv arXiv 2026
- [3]
-
[4]
M. Dressel and S. Tomi´ c, Molecular quantum mate- rials: electronic phases and charge dynamics in two- dimensional organic solids, Adv. Phys. 69, 1 (2020)
work page 2020
-
[5]
S. Uji, H. Shinagawa, T. Terashima, T. Yakabe, Y. Terai, M. Tokumoto, A. Kobayashi, H. Tanaka, and H. Kobayashi, Magnetic-field-induced supercon- ductivity in a two-dimensional organic conductor, Nature 410, 908 (2001)
work page 2001
-
[6]
L. Balicas, J. S. Brooks, K. Storr, S. Uji, M. Toku- moto, H. Tanaka, H. Kobayashi, A. Kobayashi, V. Barzykin, and L. P. Gorkov, Superconductivity in an organic insulator at very high magnetic fields, Phys. Rev. Lett. 87, 067002 (2001)
work page 2001
-
[7]
S. Uji, T. Terashima, C. Terakura, T. Yakabe, Y. Terai, S. Yasuzuka, Y. Imanaka, M. Toku- moto, A. Kobayashi, F. Sakai, H. Tanaka, H. Kobayashi, L. Balicas, and J. S. Brooks, Global phase diagram of the magnetic field-induced or- ganic superconductors λ -(BETS)2FexGa1− xCl4, J. Phys. Soc. Jpn. 72, 369 (2003)
work page 2003
-
[8]
H. Kobayashi, H. Cui, and A. Kobayashi, Or- ganic metals and superconductors based on BETS (BETS = bis(ethylenedithio)tetraselenafulvalene), Chem. Rev. 104, 5265 (2004)
work page 2004
-
[9]
T. Enoki and A. Miyazaki, Magnetic TTF-based charge- transfer complexes, Chem. Rev. 104, 5449 (2004)
work page 2004
-
[10]
E. Coronado and P. Day, Magnetic molecular conductors, Chem. Rev. 104, 5419 (2004)
work page 2004
-
[11]
S. J. Blundell and F. L. Pratt, Organic and molecular magnets, J. Phys.: Condens. Matter 16, R771 (2004)
work page 2004
-
[12]
N. D. Kushch, E. B. Yagubskii, M. V. Kartsovnik, L. I. Buravov, A. D. Dubrovskii, A. N. Chekhlov, and W. Biberacher, π -donor BETS based bifunc- tional superconductor with polymeric dicyanamido- manganate(ii) anion layer: κ-(BETS)2Mn[N(CN)2]3, J. Am. Chem. Soc. 130, 7238 (2008)
work page 2008
-
[13]
V. N. Zverev, M. V. Kartsovnik, W. Biberacher, S. S. Khasanov, R. P. Shibaeva, L. Ouahab, L. Toupet, N. D. Kushch, E. B. Yagubskii, and E. Canadell, Temperature-pressure phase diagram and electronic properties of the organic metal κ-(BETS)2Mn[N(CN)2]3, Phys. Rev. B 82, 155123 (2010)
work page 2010
-
[14]
O. M. Vyaselev, M. V. Kartsovnik, W. Biberacher, L. V. Zorina, N. D. Kushch, and E. B. Yagubskii, Magnetic transformations in the organic conductor κ- (BETS)2Mn[N(CN)2]3 at the metal-insulator transition, Phys. Rev. B 83, 094425 (2011)
work page 2011
-
[15]
O. M. Vyaselev, N. D. Kushch, and E. B. Yagubskii, Proton NMR study of the organic metal κ-(BETS)2- Mn[N(CN)2]3, J. Exp. Theor. Phys. 113, 835 (2011)
work page 2011
-
[16]
O. M. Vyaselev, M. V. Kartsovnik, N. D. Kushch, and E. Yagubskii, Staggered spin order of localized π - electrons in the insulating state of the organic conductor κ-(BETS)2Mn[N(CN)2]3, JETP Lett. 95, 565 (2012)
work page 2012
-
[17]
O. M. Vyaselev, R. Kato, H. M. Yamamoto, M. Kobayashi, L. V. Zorina, S. V. Simonov, N. D. Kushch, and E. B. Yagubskii, Properties of Mn 2+ and π -electron spin systems probed by 1H and 13C NMR in the organic conductor κ-(BETS)2Mn[N(CN)2]3, Crystals 2, 224 (2012)
work page 2012
-
[18]
M. V. Kartsovnik, V. N. Zverev, W. Biber- acher, S. V. Simonov, I. Sheikin, N. D. Kushch, and E. B. Yagubskii, Shubnikov–de Haas oscil- lations and electronic correlations in the lay- ered organic metal κ-(BETS)2Mn[N(CN)2]3, Low Temp. Phys. 43, 239 (2017)
work page 2017
-
[19]
N. Kushch, O. Vyaselev, V. Zverev, W. Biberacher, L. Buravov, E. Yagubskii, E. Herdtweck, E. Canadell, and M. Kartsovnik, New radical cation salt κ- (BETS)2Co0. 13Mn0. 87[N(CN)2]3 with two magnetic met- als: Synthesis, structure, conductivity and magnetic pe- culiarities, Synth. Met. 227, 52 (2017)
work page 2017
-
[20]
O. M. Vyaselev, W. Biberacher, N. D. Kushch, and M. V. Kartsovnik, Interplay between the d- and π -electron systems in magnetic torque of the layered organic conductor κ-(BETS)2Mn[N(CN)2]3, Phys. Rev. B 96, 205154 (2017)
work page 2017
-
[21]
V. N. Zverev, W. Biberacher, S. Oberbauer, I. Sheikin, P. Alemany, E. Canadell, and M. V. Kartsovnik, Fermi surface properties of the bifunctional organic metal κ- (BETS)2Mn[N(CN)2]3 near the metal-insulator transi- tion, Phys. Rev. B 99, 125136 (2019)
work page 2019
- [22]
-
[23]
T. Thomas, Y. Agarmani, S. Hartmann, M. Kartsovnik, N. Kushch, S. M. Winter, S. Schmid, P. Lunken- heimer, M. Lang, and J. M¨ uller, Slow and non- equilibrium dynamics due to electronic ferroelec- tricity in a strongly-correlated molecular conductor, npj Spintronics 2, 24 (2024) . 8
work page 2024
-
[24]
Conventionally, a∗ ⊥ (bc), but our experimental accuracy does not allow us to distinguish a and a∗ , which differ by less than 2 ◦
-
[25]
J.A. Schlueter, U. Geiser, and J.L. Man- son, Anionic dicyanamide frameworks as pos- sible components of multifunctional materials, J. Phys. IV (France) 114, 475 (2004)
work page 2004
- [26]
- [27]
-
[28]
M. Schmidt, S. Priya, Z. Huang, M. Kartsovnik, N. Kushch, and M. Dressel, Electronic properties of the dimerized organic conductor κ-(BETS)2Mn[N(CN)2]3, Phys. Rev. B 110, 195128 (2024)
work page 2024
-
[29]
Due to the shape of the crystal, the measurement in bc- plane is more reliable than in ac-plane. The crystal axes were determined by optical methods [26], but there re- mained some error in aligning the b-axis parallel to the rotation axis. For that reason, the two runs arrive at dif- ferent g-values for H ∥ c
-
[30]
E. Riedel and R. Willett, The temperature de- pendence of the angular variation of, and the critical point exponent for the EPR linewidth in the two-dimensional canted antiferromagnetic (C2H5NH3)2MnBr4: Evidence for a structural phase transition, Solid State Commun. 16, 413 (1975)
work page 1975
-
[31]
M. Tamura and R. Kato, Magnetic susceptibility of β ′-[Pd(dmit)2] salts (dmit = 1, 3-dithiol-2-thione-4, 5- dithiolate, C 3S5): evidence for frustration in spin- 1/2 Heisenberg antiferromagnets on a triangular lattice, J. Phys.: Condens. Matter 14, L729 (2002)
work page 2002
-
[32]
J. M. Williams, J. R. Ferraro, R. J. Thorn, K. D. Carl- son, U. Geiser, H. H. Wang, A. M. Kini, and M. H. Whangbo, Organic Superconductors (Prentice Hall, En- glewood Cliffs, NJ, 1992)
work page 1992
- [33]
-
[34]
T. Lee, Y. Oshima, H. Cui, and R. Kato, Detailed X-band studies of the π -d molecular conductor λ -(BETS)2FeCl4: Observation of anomalous angular dependence of the g- value, J. Phys. Soc. Jpn. 87, 114702 (2018)
work page 2018
-
[35]
A. Bencini and D. Gatteschi, EPR of Exchange Coupled Systems (Spinger Verlag, Berlin, Heidelberg, 1990)
work page 1990
-
[36]
M. Dumm, A. Loidl, B. W. Fravel, K. P. Starkey, L. K. Montgomery, and M. Dressel, Electron spin res- onance studies on the organic linear-chain compounds (TMTCF)2X (C = S, Se; X = PF 6, AsF 6, ClO 4, Br), Phys. Rev. B 61, 511 (2000)
work page 2000
-
[37]
Pilawa, Anisotropy of the elec- tron spin-resonance linewidth of cugeo 3, J
B. Pilawa, Anisotropy of the elec- tron spin-resonance linewidth of cugeo 3, J. Phys.: Condens. Matter 9, 3779 (1997)
work page 1997
-
[38]
The change in linewidth due to anisotropic Zeeman interaction is of the order 10 mT because in Eqs
We note that c∆ HAZ is just a fit parameter, and does not correspond to a real field. The change in linewidth due to anisotropic Zeeman interaction is of the order 10 mT because in Eqs. (
-
[39]
and ( 11) c∆ HAZ is multiplied by (δg)2 ≈ 10− 4
-
[40]
S. Yasin, B. Salameh, E. Rose, M. Dumm, H.-A. Krug von Nidda, A. Loidl, M. Ozerov, G. Untere- iner, L. Montgomery, and M. Dressel, Broken mag- netic symmetry due to charge-order ferroelectricity dis- covered in (TMTTF) 2X salts by multifrequency ESR, Phys. Rev. B 85, 144428 (2012)
work page 2012
-
[41]
M. Dressel, M. Dumm, T. Knoblauch, and M. Masino, Comprehensive optical investigations of charge or- der in organic chain compounds (TMTTF) 2X, Crystals 2, 528 (2012)
work page 2012
-
[42]
L. ˇSmejkal, J. Sinova, and T. Jungwirth, Beyond conven- tional ferromagnetism and antiferromagnetism: A phase with nonrelativistic spin and crystal rotation symmetry, Phys. Rev. X 12, 031042 (2022)
work page 2022
-
[43]
L. ˇSmejkal, J. Sinova, and T. Jungwirth, Emerging research landscape of altermagnetism, Phys. Rev. X 12, 040501 (2022)
work page 2022
-
[44]
M. Naka, S. Hayami, H. Kusunose, Y. Yanagi, Y. Mo- tome, and H. Seo, Anomalous hall effect in κ-type organic antiferromagnets, Phys. Rev. B 102, 075112 (2020)
work page 2020
- [45]
-
[46]
U. Welp, S. Fleshler, W. K. Kwok, G. W. Crabtree, K. D. Carlson, H. H. Wang, U. Geiser, J. M. Williams, and V. M. Hitsman, Weak ferromagnetism in κ-(ET)2- Cu[N(CN)2]Cl, where (ET) is bis-(ethylenedithio)tetra- thiafulvalene, Phys. Rev. Lett. 69, 840 (1992)
work page 1992
-
[47]
K. Miyagawa, A. Kawamoto, Y. Nakazawa, and K. Kan- oda, Antiferromagnetic ordering and spin structure in the organic conductor, κ-(BEDT-TTF)2Cu[N(CN)2]Cl, Phys. Rev. Lett. 75, 1174 (1995)
work page 1995
- [48]
-
[49]
M. Pinteri´ c, M. Miljak, N. Bi¸ skup, O. Milat, I. Aviani, S. Tomi´ c, D. Schweitzer, W. Strunz, and I. Heinen, Magnetic anisotropy and low- frequency dielectric response of weak ferromagnetic phase in κ-(BEDT-TTF)2Cu[N(CN)2]Cl, where BEDT-TTF is bis(ethylenedithio)tetrathiafulvalene, Eur. Phys. J. B 11, 217 (1999)
work page 1999
- [50]
- [51]
-
[52]
R. Ishikawa, H. Tsunakawa, K. Oinuma, S. Michimura, H. Taniguchi, K. Satoh, Y. Ishii, and H. Okamoto, Zero-field spin structure and spin reorientations in layered organic antiferromagnet, κ-(BEDT- TTF)2Cu[N(CN)2]Cl, with Dzyaloshinskii–Moriya interaction, J. Phys. Soc. Jpn. 87, 064701 (2018)
work page 2018
-
[53]
In κ-(BEDT-TTF)2Cu[N(CN)2]Cl the molecules in adja- cent layers are tilted in opposite directions, which makes it difficult to observe anisotropic Zeeman interactions 9 [45, 47, 48]. Nevertheless, detailed ESR studies of the angular dependent linewidth might reveal interesting in- formation on the dynamic spin response. In general, an- gular dependent ESR e...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.