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arxiv: 2607.00532 · v1 · pith:ARG3GBFOnew · submitted 2026-07-01 · ❄️ cond-mat.str-el · cond-mat.mtrl-sci

Strongly frustrated 2D magnetism in a 3D hexagonal perovskite

Bocheng Yu , Otkur Omar , Songtai Lv , Long Ma , Zhengcai Xia , Jing Meng , Yanran Yang , Jie Ma
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Yang Xu Qingfeng Zhan Vladimir Yu. Pomjakushin Haiyuan Zou Shang Gao Toni Shiroka Tian Shang
This is my paper

Pith reviewed 2026-07-02 06:03 UTC · model grok-4.3

classification ❄️ cond-mat.str-el cond-mat.mtrl-sci
keywords 2D magnetismfrustrated magnetismhexagonal perovskitetriangular latticemuon spin spectroscopyneutron scatteringantiferromagnetic orderspin fluctuations
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The pith

Ba₂La₂MnTe₂O₁₂ shows 120° antiferromagnetic order in ab-planes below 4.4 K while c-axis moments stay disordered.

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

The paper investigates the triangular-lattice magnet Ba₂La₂MnTe₂O₁₂, which has a three-dimensional hexagonal perovskite structure. Multiple techniques reveal a transition at 4.4 K into a state with 120° antiferromagnetic order confined to each ab-plane. The moments along the c-axis remain disordered, producing an effectively two-dimensional magnetic ground state. This leads to unusually strong frustration and persistent spin fluctuations that muon spin spectroscopy detects even below the transition temperature.

Core claim

Ba₂La₂MnTe₂O₁₂ undergoes a magnetic transition at T_N ≈ 4.4 K, below which the manganese moments form a 120° AFM order within the ab-plane, while staying disordered along the c-axis. This exotic ground state exhibits ideal 2D magnetism, highly consistent with persistently strong spin fluctuations and large internal field distributions revealed by zero-field μSR, and produces a frustration parameter much larger than that of most known magnetically-ordered frustrated systems.

What carries the argument

The 120° antiferromagnetic order on the triangular lattice planes with c-axis disorder, established by neutron scattering and corroborated by NMR and zero-field μSR.

If this is right

  • The 2D magnetism leads to a frustration level much larger than in most known ordered frustrated magnets.
  • This ground state challenges interpretations of magnetic order reported in other 3D hexagonal perovskites.
  • The combination of in-plane order and out-of-plane disorder produces persistently strong spin fluctuations visible in μSR.
  • Dimensionality reduction in this crystal geometry enables exotic magnetic states not expected in fully three-dimensional systems.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Other 3D perovskites with triangular layers may hide similar 2D behavior if interplane exchange is comparably weak.
  • Tuning the interlayer spacing or introducing controlled disorder could drive the system closer to a quantum spin liquid.
  • The large internal field distribution seen by μSR suggests local probes may be needed to detect any subtle crossover to three-dimensional behavior at much lower temperatures.

Load-bearing premise

The chosen probes fully resolve any inter-plane coupling as negligible rather than merely weak and undetected at the accessed temperatures and time scales.

What would settle it

Detection of three-dimensional magnetic order or a further transition below 4.4 K that aligns moments along the c-axis.

Figures

Figures reproduced from arXiv: 2607.00532 by Bocheng Yu, Haiyuan Zou, Jie Ma, Jing Meng, Long Ma, Otkur Omar, Qingfeng Zhan, Shang Gao, Songtai Lv, Tian Shang, Toni Shiroka, Vladimir Yu. Pomjakushin, Yang Xu, Yanran Yang, Zhengcai Xia.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (a) shows the 139La-NMR spectra of BLMTO col￾lected at various temperatures in an applied magnetic field of 9 T. In the high temperature range (i.e., T ≥ 40 K), the 139La-NMR spectra consist of a split central peak, attributed to the transition between the +1/2 and −1/2 nuclear spin states, and a broad featureless background. The simulation of the 100-K NMR spectrum (see Fig. S6 [32]) provides a quadrupole… view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 3
Figure 3. Figure 3: (d) and Fig. S11 [32], respectively. The λL values in a 0.78-T field almost overlap with the zero-field values. Such robust spin fluctuations are attributed to the disordered magnetic structure along the c-axis and the strong magnetic frustration of the Mn2+ triangular lattice. By contrast, the – 4 – [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. (a) NPD patterns collected at [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: , the magnetization is almost linear in field, confirming the absence of magnetization plateaus and UUD phases in BLMTO. Since both J2 and Jc are much weaker than J1 , we employ the nearest-neighbor (NN) TL-X X Z model to calcu￾late the magnetization of BLMTO. This model is described by the Hamiltonian: H = J X 〈i,j〉 (S x i S x j +S y i S y j +ηS z i S z j )−hx X i S x i −hz X i S z i . (3) Here, J > 0 is … view at source ↗
read the original abstract

Exotic quantum phenomena are often found to occur in spin systems that exhibit low-dimensional magnetism. By combining nuclear magnetic resonance, neutron scattering, and muon-spin spectroscopy ($\mu$SR) techniques, we report a rare instance of strongly frustrated two-dimensional (2D) magnetism in a three-dimensional (3D) hexagonal perovskite. Here, Ba$_2$La$_2$MnTe$_2$O$_{12}$, a triangular-lattice magnet, is shown to undergo a magnetic transition at $T_\mathrm{N} \approx$ 4.4 K, below which the manganese moments form a 120$^{\circ}$ AFM order within the $ab$-plane, while staying disordered along the $c$-axis. This exotic ground state, which exhibits ideal 2D magnetism, is highly consistent with the persistently strong spin fluctuations and the large internal field distributions revealed by zero-field $\mu$SR. Further, the 2D magnetism also leads to a significant frustration, much larger than that of most known magnetically-ordered frustrated systems. Our work on Ba$_2$La$_2$MnTe$_2$O$_{12}$ not only challenges the interpretations of magnetic order in other 3D hexagonal perovskites, but it also provides insight into how the dimensionality affects the exotic magnetic states.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript reports that Ba₂La₂MnTe₂O₁₂, a triangular-lattice antiferromagnet in a 3D hexagonal perovskite structure, undergoes a transition at T_N ≈ 4.4 K into a state with 120° AFM order confined to the ab-planes while remaining disordered along the c-axis. This is presented as an instance of ideal 2D magnetism, supported by consistency across NMR, neutron scattering, and zero-field μSR data showing persistent spin fluctuations and broad internal-field distributions, together with a frustration parameter larger than in most ordered frustrated magnets. The work also claims to challenge interpretations of magnetic order in other 3D hexagonal perovskites.

Significance. If the central claim of truly negligible interplane coupling holds, the result would provide a rare experimental realization of ideal 2D magnetism embedded in a 3D lattice, offering a platform to isolate dimensionality effects on frustration and fluctuations. The multi-technique consistency and the reported high frustration value would strengthen its utility as a benchmark system.

major comments (2)
  1. [Results and Discussion (neutron and μSR sections)] The assertion of ideal 2D magnetism with negligible interplane exchange J' requires a quantitative upper bound on J'/J rather than a qualitative statement of consistency with the probes. Neutron scattering and μSR have finite momentum and energy resolution; a weak but finite J' could produce c-axis correlations below the detection threshold while still permitting the observed T_N. No section derives such a limit from linewidths, diffuse scattering intensity, or the absence of a higher-temperature crossover.
  2. [Abstract and Discussion] The frustration parameter is stated to be 'much larger than that of most known magnetically-ordered frustrated systems,' yet the manuscript provides no explicit numerical value or comparison table with reference compounds (e.g., other triangular-lattice materials). This weakens the claim that the observed state is unusually frustrated.
minor comments (2)
  1. [Abstract] The abstract states consistency with three techniques but supplies no quantitative metrics (e.g., fitted exchange constants, χ² values, or error bars on T_N). Adding these would improve clarity.
  2. [Introduction and Experimental Methods] Notation for the crystal structure and magnetic propagation vector should be defined at first use and kept consistent between neutron and μSR sections.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their thorough review and constructive comments on our manuscript. We address each major comment point by point below, indicating where revisions will be made.

read point-by-point responses

  1. Referee: [Results and Discussion (neutron and μSR sections)] The assertion of ideal 2D magnetism with negligible interplane exchange J' requires a quantitative upper bound on J'/J rather than a qualitative statement of consistency with the probes. Neutron scattering and μSR have finite momentum and energy resolution; a weak but finite J' could produce c-axis correlations below the detection threshold while still permitting the observed T_N. No section derives such a limit from linewidths, diffuse scattering intensity, or the absence of a higher-temperature crossover.

    Authors: We agree that the manuscript would be strengthened by an explicit upper bound on J'/J. The current presentation relies on the absence of detectable c-axis order or correlations across NMR, neutron, and μSR data, which is consistent with J' being negligible compared to the in-plane J. However, as the referee notes, this is qualitative. We will revise the Results and Discussion sections to include a rough quantitative estimate of the upper limit on J'/J, derived from the neutron scattering resolution limit and the lack of any higher-temperature crossover or 3D Bragg intensity. revision: yes

  2. Referee: [Abstract and Discussion] The frustration parameter is stated to be 'much larger than that of most known magnetically-ordered frustrated systems,' yet the manuscript provides no explicit numerical value or comparison table with reference compounds (e.g., other triangular-lattice materials). This weakens the claim that the observed state is unusually frustrated.

    Authors: The referee is correct that the claim would be more robust with an explicit value and direct comparisons. We will revise the Abstract and Discussion to report the numerical frustration parameter f = |θ_CW|/T_N and include a comparison table with other triangular-lattice antiferromagnets. revision: yes

Circularity Check

0 steps flagged

No circularity: experimental observations only

full rationale

The manuscript is a purely experimental report describing neutron scattering, NMR, and μSR measurements on Ba₂La₂MnTe₂O₁₂. No equations, derivations, fitted parameters renamed as predictions, or self-citation chains appear in the provided text. The central claim (in-plane 120° order with c-axis disorder) rests on direct diffraction and relaxation data rather than any reduction to prior inputs by construction. This is the normal, self-contained case for an experimental condensed-matter paper.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on standard experimental interpretations of neutron diffraction for magnetic structure and μSR for local fields; no free parameters, new entities, or ad-hoc axioms are introduced in the abstract.

axioms (1)
  • domain assumption Standard interpretation of neutron scattering peaks as 120° AFM order and μSR relaxation as evidence of 2D fluctuations.
    The abstract invokes these established analysis methods without additional justification.

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discussion (0)

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Reference graph

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