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arxiv: 2606.25843 · v1 · pith:EKP5ZNACnew · submitted 2026-06-24 · ❄️ cond-mat.mtrl-sci

Spontaneous spin splitting and tunable valley polarization in a two-dimensional fully compensated ferrimagnet

Hongyan Lv , Yueli Li , Yunfan Zhang , Jiayu Dai , Zhongjun Li , Ding-Fu Shao This is my paper

Pith reviewed 2026-06-25 20:14 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords Janus monolayerfully compensated ferrimagnetspontaneous spin splittingvalley polarizationanomalous Hall effectpiezomagnetism2D materialsNéel temperature
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The pith

Janus Mn2BrI monolayer realizes fully compensated ferrimagnetism with spontaneous spin splitting and tunable valley polarization.

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

The paper establishes that the Janus Mn2BrI monolayer forms a two-dimensional fully compensated ferrimagnet whose Néel temperature exceeds room temperature. Spontaneous spin splitting arises from the layer-dependent electrostatic potential created by the asymmetric halogen layers. When spin-orbit coupling is included and the Néel vector points out of plane, the two valleys become polarized. Hole doping stabilizes perpendicular anisotropy and produces unequal Berry curvatures at the valleys, permitting anomalous Hall responses, while biaxial strain shifts the valence-band maxima and yields giant piezomagnetism.

Core claim

The inequivalent Mn layers in the Janus Mn2BrI monolayer produce a fully compensated ferrimagnet that breaks PT symmetry, generating spontaneous spin splitting from the built-in electrostatic potential; with SOC and an out-of-plane Néel vector this yields valley polarization, and hole doping plus strain further enable anomalous Hall effect and giant piezomagnetism.

What carries the argument

The built-in layer-dependent electrostatic potential arising from the asymmetric Br and I termination layers that lifts spin degeneracy without net magnetization.

If this is right

  • Hole doping makes anomalous Hall effect responses allowed through valley-contrasting Berry curvatures.
  • Biaxial strain shifts the valence-band extrema and produces giant piezomagnetism.
  • The material supplies a zero-net-magnetization platform for valleytronic devices operable above room temperature.
  • Valley polarization appears once the Néel vector is oriented perpendicular to the plane under spin-orbit coupling.

Where Pith is reading between the lines

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

  • Similar Janus constructions with other transition-metal pairs may produce additional compensated ferrimagnets with comparable spin-splitting behavior.
  • The combination of doping and strain supplies independent electrical and mechanical knobs for controlling valleytronic responses in a single material.
  • Device integration could exploit the absence of stray fields while retaining ultrafast spin dynamics characteristic of antiferromagnetic order.

Load-bearing premise

The magnetic anisotropy energies and the doping-induced stabilization of an out-of-plane Néel vector calculated for the ideal monolayer remain stable when temperature fluctuations, defects, or substrate coupling are present.

What would settle it

Direct measurement of a finite net magnetic moment or the absence of spin splitting in angle-resolved photoemission spectra of a synthesized Mn2BrI monolayer would falsify the compensated ferrimagnetism and spontaneous splitting claims.

Figures

Figures reproduced from arXiv: 2606.25843 by Ding-Fu Shao, Hongyan Lv, Jiayu Dai, Yueli Li, Yunfan Zhang, Zhongjun Li.

Figure 1
Figure 1. Figure 1: (a)]. The non-Janus Mn2Br2 and Mn2I2 mono￾layers have the space group of P¯3m1 (no. 164), pos￾sessing space inversion (P) symmetry. While for Janus Mn2BrI monolayer, the P symmetry is broken and the space group becomes P3m1 (no. 156). The dynamical stability of Mn2BrI monolayer was confirmed by calcu￾lating the phonon spectrum, which shows no imaginary [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Band structures of Mn [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Schematic illustration of the valley polarization and [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Strain-dependent MAE (= [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Band structures of Mn [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Net magnetic moments (in unit of [PITH_FULL_IMAGE:figures/full_fig_p007_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Temperature-dependent sublattice magnetization of [PITH_FULL_IMAGE:figures/full_fig_p008_7.png] view at source ↗
read the original abstract

Materials with controllable valley polarization and anomalous valley Hall (AVH) effect are highly desired in valleytronic applications. While current AVH studies primarily focus on ferromagnetic materials, two-dimensional (2D) antiferromagnets are more attractive for valleytronics since they possess zero net magnetization, negligible stray fields, and ultrafast spin dynamics. Nevertheless, the joint space-inversion and time-reversal ($PT$) symmetry in conventional collinear antiferromagnets prohibits the occurrence of AVH response. The recently proposed fully compensated ferrimagnets break $PT$ symmetry, and the spin-opposite sublattices are not related by crystal symmetry, providing a natural platform for the coexistence of spontaneous spin splitting, valley polarization, and anomalous-Hall compatible symmetry. Herein, we demonstrate that such compensated ferrimagnetism can be realized in a Janus Mn$_{2}$BrI monolayer, with a N\'{e}el temperature above room temperature. Spontaneous spin splitting is observed due to the built-in layer-dependent electrostatic potential. When SOC is considered, valley polarization emerges for an out-of-plane N\'{e}el vector. Moreover, proper hole doping stabilizes the perpendicular magnetic anisotropy and the two valleys exhibit markedly different Berry curvatures, thereby making AHE responses allowed. Furthermore, the valence band extrema of Mn$_{2}$BrI monolayer can be effectively tuned by external biaxial strain and giant piezomagnetism can be achieved. Our results identify Janus Mn$_{2}$BrI monolayer as a promising fully compensated ferrimagnetic platform for 2D valleytronics and spintronics.

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 claims that the Janus Mn2BrI monolayer is a fully compensated ferrimagnet with Néel temperature above room temperature, exhibiting spontaneous spin splitting from layer-dependent electrostatic potential. With SOC and out-of-plane Néel vector it shows valley polarization; hole doping stabilizes perpendicular anisotropy, yielding markedly different Berry curvatures at the two valleys that enable AHE, while biaxial strain tunes the valence band extrema and produces giant piezomagnetism.

Significance. If the central claims hold, the work provides a concrete 2D compensated-ferrimagnet platform that breaks PT symmetry without net magnetization, enabling spontaneous spin splitting, valley polarization, and AHE in a system free of stray fields. The combination of doping-tunable anisotropy and strain-induced piezomagnetism would be of direct interest for valleytronic and spintronic device concepts.

major comments (2)
  1. [Magnetic anisotropy and doping effects] Section on magnetic anisotropy and doping effects: the stabilization of perpendicular magnetic anisotropy (and thus the out-of-plane Néel vector required for valley polarization and AHE) is obtained from zero-temperature DFT MAE calculations on an ideal monolayer; no Monte Carlo or spin-dynamics simulations are presented to test whether this anisotropy survives thermal fluctuations at or above room temperature.
  2. [Néel-temperature and exchange-parameter section] Néel-temperature and exchange-parameter section: the claim of Néel temperature above room temperature rests on exchange parameters extracted from DFT; the manuscript does not report the spin Hamiltonian, the method used to obtain TN (mean-field, Monte Carlo, etc.), or error bars on the parameters, making it impossible to assess robustness against the small MAE values typical in 2D magnets.
minor comments (2)
  1. [Computational details] Figure captions and text should explicitly state the k-point sampling and supercell sizes used for the doped and strained calculations to allow reproducibility.
  2. [Abstract and piezomagnetism discussion] The abstract states 'giant piezomagnetism' without a numerical benchmark; the main text should compare the piezomagnetic coefficient to known 2D materials.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments. We address each major point below and will revise the manuscript to incorporate the requested details and additional calculations.

read point-by-point responses

  1. Referee: [Magnetic anisotropy and doping effects] Section on magnetic anisotropy and doping effects: the stabilization of perpendicular magnetic anisotropy (and thus the out-of-plane Néel vector required for valley polarization and AHE) is obtained from zero-temperature DFT MAE calculations on an ideal monolayer; no Monte Carlo or spin-dynamics simulations are presented to test whether this anisotropy survives thermal fluctuations at or above room temperature.

    Authors: We agree that zero-temperature DFT MAE alone does not fully establish thermal stability of the out-of-plane Néel vector. In the revised manuscript we will add Monte Carlo simulations of the spin model (including the computed anisotropy) to demonstrate that the perpendicular configuration remains stable against thermal fluctuations up to and above room temperature, thereby supporting the conditions required for valley polarization and AHE. revision: yes

  2. Referee: [Néel-temperature and exchange-parameter section] Néel-temperature and exchange-parameter section: the claim of Néel temperature above room temperature rests on exchange parameters extracted from DFT; the manuscript does not report the spin Hamiltonian, the method used to obtain TN (mean-field, Monte Carlo, etc.), or error bars on the parameters, making it impossible to assess robustness against the small MAE values typical in 2D magnets.

    Authors: We acknowledge that the original manuscript omitted these technical details. The revised version will explicitly present the spin Hamiltonian, state the method employed to obtain TN, and include error bars (or sensitivity analysis) on the exchange parameters extracted from DFT. This will enable readers to evaluate the robustness of the TN estimate relative to the small MAE scale. revision: yes

Circularity Check

0 steps flagged

No circularity: claims rest on independent DFT computations

full rationale

The paper derives its central results (Néel temperature, spontaneous spin splitting, valley polarization under SOC, doping-stabilized PMA, differing Berry curvatures, strain-tuned piezomagnetism) directly from first-principles DFT calculations of total energies, band structures, MAE, and Berry curvature on the Janus Mn2BrI monolayer. These quantities are computed outputs, not algebraically forced by any parameter fitted to the target observables themselves. No self-definitional loops, fitted-input predictions, or load-bearing self-citations appear in the derivation chain; the work is self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The work relies on standard density-functional approximations for electronic structure and magnetic anisotropy in 2D magnets; no additional free parameters or invented entities are introduced beyond those conventional in the field.

axioms (2)
  • domain assumption Density functional theory with spin-orbit coupling accurately captures the valley splitting and Berry curvature in this magnetic monolayer.
    Invoked implicitly when reporting SOC-induced valley polarization and AHE responses.
  • domain assumption The calculated magnetic anisotropy energy correctly predicts the preferred Néel vector orientation under hole doping.
    Central to the claim that doping stabilizes perpendicular anisotropy and enables AHE.

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