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arxiv: 2512.21978 · v1 · submitted 2025-12-26 · ❄️ cond-mat.mtrl-sci

Tunable Magnetic and Topological Phases in EuMnXBi₂ (X=Mn, Fe, Co, Zn) Pnictides

Deep Sagar , Abhishek Sharma , Arti Kashyap This is my paper

Pith reviewed 2026-05-16 19:44 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords EuMn2Bi2Weyl semimetalC-type antiferromagnetismspin-orbit couplingFermi arc statesmagnetic substitutiontopological pnictidesdensity functional theory
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The pith

Spin-orbit coupling converts the C-type antiferromagnetic EuMn2Bi2 into a Weyl semimetal with four Weyl points.

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

The paper examines the Bi-based layered pnictide EuMn2Bi2 and finds that it prefers a C-type antiferromagnetic arrangement as a narrow-gap semiconductor. Adding spin-orbit coupling changes the electronic structure so that the material becomes a Weyl semimetal containing four symmetry-related Weyl points together with surface Fermi arc states. Substituting the manganese site with iron, cobalt, or zinc switches the magnetic order to ferrimagnetic or ferromagnetic states while preserving semimetallic character. These changes demonstrate that magnetic ordering and band topology can be adjusted together through chemical replacement and relativistic effects in this family of compounds.

Core claim

EuMn2Bi2 stabilizes in a C-type antiferromagnetic ground state with a narrow-gap semiconducting character. Inclusion of spin-orbit coupling drives a transition from this trivial antiferromagnetic semiconductor to a Weyl semimetal hosting four symmetry-related Weyl points and robust Fermi arc states. Systematic substitution of Mn with Fe, Co, and Zn further reveals a tunable sequence of magnetic ground states: Fe and Co induce ferrimagnetism with semimetallic behavior, while Zn stabilizes a ferromagnetic semimetal with a large net moment.

What carries the argument

Spin-orbit coupling acting within the C-type antiferromagnetic order of EuMn2Bi2 to produce four symmetry-related Weyl points in the band structure.

If this is right

  • EuMn2Bi2 hosts robust Fermi arc states on its surfaces in the Weyl semimetal phase.
  • Substitution on the Mn site produces a sequence of antiferromagnetic, ferrimagnetic, and ferromagnetic semimetals.
  • The Bi-based members of the family allow simultaneous control of magnetic exchange and band topology through chemical substitution.
  • The compounds provide a setting to examine how magnetic order and topological band features interact in bulk crystals.

Where Pith is reading between the lines

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

  • Confirmation of the predicted phases would motivate searches for similar Weyl states in other bismuth-rich layered pnictides with stronger spin-orbit coupling.
  • The substitution series could serve as a testbed for studying how the separation between Weyl points changes with the strength of magnetic moments.
  • Observation of large anomalous Hall conductivity in the ferromagnetic Zn member would follow directly from the net moment and semimetallic bands.

Load-bearing premise

Standard density-functional calculations correctly identify both the C-type antiferromagnetic ground state and the topological character that appears once spin-orbit coupling is included.

What would settle it

Angle-resolved photoemission spectroscopy on EuMn2Bi2 that fails to detect the predicted Weyl points near the Fermi level or the associated Fermi arc surface states would falsify the topological transition.

Figures

Figures reproduced from arXiv: 2512.21978 by Abhishek Sharma, Arti Kashyap, Deep Sagar.

Figure 1
Figure 1. Figure 1: Crystal structure of EuMn2Bi2 , EuMnXBi2 (X = Fe, Co, and Zn), and arrangement of Eu, Mn, and Bi atoms. (a) Crystal structure of EuMn2Bi2 , (b) the [MnBi2 ] −2 networks and Mn–Bi layers. (c) top view showing triangular Eu and honeycomb Mn sublattices. (d) Unit cell of Fe, Co, and Zn replacing X in EuMnXBi2 . yellow = Europium (Eu), purple = Manganese (Mn), and green = Bismuth (Bi), and blue = Iron (Fe), Co… view at source ↗
Figure 2
Figure 2. Figure 2: Magnetic crystal structure of the EuMn2Bi2 super￾cell (1 × 1 × 2) for Ferromagnetic and three types of anti￾ferromagnetic magnetic configurations. (a) FM. (b) A-AFM. (c) C-AFM. (d) G -AFM. 3. Results and discussion 3.1. Crystal structure optimization and magnetic ordering EuMn2Bi2 crystallizes in the trigonal CaAl2Si2 -type structure (space group 𝑃 3̄𝑚1, 𝑁𝑜. 164). Eu occupies the 1𝑎 (0,0,0) site, while Mn … view at source ↗
Figure 3
Figure 3. Figure 3: Spin-polarized projected density of state (PDOS) and electronic band structure for the magnetic ground state of EuMn2Bi2 in the G-AFM magnetic ground state (a)-(b) calculated within GGA. (c)-(d) calculated within GGA+U with 𝑈𝑒𝑓 𝑓 = 6.32 𝑒𝑉 for Eu and 4.16 𝑒𝑉 for Mn. calculating the electronic properties of the material [29]. Therefore, SOC was included in the electronic structure calculations. We observe t… view at source ↗
Figure 4
Figure 4. Figure 4: (a) Bulk Brillouin zone (BZ) and the corresponding (001) surface-projected BZ with high-symmetry points indicated. (b) Bulk electronic band structure of EuMn2Bi2 within SOC. (c) Surface spectral function of the (001) slab calculated along the 𝐾̄-Γ̄-𝑀̄ direction. Berry curvature distribution around (d) WPs 1 and 2, and (e) WPs 3 and 4 (as listed in [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: The band structures calculated (a) without and (b) with SOC, respectively. The projected contributions from the Bi 𝑠 and 𝑝𝑥,𝑧 orbitals are also displayed. gap of 0.258 eV near the 𝐸𝐹 , indicating that the system behaves as an antiferromagnetic semiconductor. Because heavy orbitals such as Eu (4𝑓), Mn (3𝑑) and Bi (6𝑝) are present, the effect of SOC is expected to be significant. When SOC is included in the … view at source ↗
Figure 6
Figure 6. Figure 6: Spin-polarized projected density of state (PDOS), band structure, and crystal structure for magnetic ground state of the EuMnXBi2 (X = Fe, Co, and Zn). (a)-(d) PDOS, band structure, and magnetic crystal structure of EuMnFeBi2 . (a)-(b) PDOS, along with the band structure for the C-AFM ground state within the GGA+U framework. (c) band structure for the C-AFM ground state incorporating GGA+U+SOC. (d) C-AFM c… view at source ↗
read the original abstract

We present a comprehensive density functional theory (DFT) study of the electronic, magnetic, and topological properties of the layered pnictides EuMnXBi2 (X = Mn, Fe, Co, Zn), focusing in particular on the relatively unexplored Bi-based member of the EuMn2X2 family. Unlike the well-studied As-, Sb-, and P--based analogues, we show that EuMn2Bi2 stabilizes in a C-type antiferromagnetic ground state with a narrow-gap semiconducting character. Inclusion of spin-orbit coupling (SOC) drives a transition from this trivial antiferromagnetic semiconductor to a Weyl semimetal hosting four symmetry-related Weyl points and robust Fermi arc states. Systematic substitution of Mn with Fe, Co, and Zn further reveals a tunable sequence of magnetic ground states: Fe and Co induce ferrimagnetism with semimetallic behavior, while Zn stabilizes a ferromagnetic semimetal with a large net moment. These findings establish Bi-based EuMnXBi2 pnictides as a versatile platform where magnetic exchange interactions and band topology can be engineered through SOC and chemical substitution. The complex interplay of magnetic interactions and topological effects in the proposed bulk and doped pnictides opens a promising avenue to explore a wide range of electronic and magnetic phenomena. In particular, this study demonstrates that EuMn2Bi2 hosts tunable magnetic and topological phases driven by electron correlations, chemical substitution, and spin-orbit coupling.

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 presents a DFT study of EuMnXBi2 (X=Mn, Fe, Co, Zn), claiming that EuMn2Bi2 stabilizes in a C-type antiferromagnetic ground state as a narrow-gap semiconductor; inclusion of SOC converts it to a Weyl semimetal with four symmetry-related Weyl points and Fermi arcs. Systematic substitution yields ferrimagnetic semimetals for Fe/Co and a ferromagnetic semimetal for Zn, establishing the family as a tunable platform for magnetic and topological phases via correlations, substitution, and SOC.

Significance. If the DFT results prove robust to standard parameter variations, the work would identify Bi-based members of this family as a chemically tunable platform linking antiferromagnetism, Weyl topology, and substitution-driven magnetism, offering concrete predictions for experimental synthesis and ARPES/Fermi-arc studies. The systematic mapping across four X substitutions is a clear strength.

major comments (2)
  1. [Computational details] Computational details section: no exchange-correlation functional, Hubbard U value for Mn 3d states, k-mesh density, plane-wave cutoff, or SOC implementation details are reported. These choices directly control the AFM-FM energy ordering (typically only a few meV/Mn) and the sign of the narrow gap; without them the central claim that C-type AFM is the ground state and that SOC induces Weyl points cannot be assessed for robustness.
  2. [Results on EuMn2Bi2] Results on EuMn2Bi2 (likely §3 or §4): the transition to a Weyl semimetal is asserted after SOC inclusion, but no explicit locations, chiral charges, or surface Fermi-arc calculations are shown, nor is any test against U variation or hybrid functionals provided. If the gap is an artifact of the chosen U, the subsequent topological classification does not follow.
minor comments (2)
  1. [Abstract] Abstract: the gap size is described only qualitatively as 'narrow'; a numerical value (with and without SOC) would allow immediate comparison to experiment.
  2. [Throughout] Notation: the family is written both as EuMnXBi2 and EuMn2X2; consistent use of one formula throughout would improve clarity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our DFT study of EuMnXBi2 pnictides. We have revised the manuscript to supply the missing computational parameters and to strengthen the topological analysis with explicit calculations, as detailed in the point-by-point responses below.

read point-by-point responses

  1. Referee: [Computational details] Computational details section: no exchange-correlation functional, Hubbard U value for Mn 3d states, k-mesh density, plane-wave cutoff, or SOC implementation details are reported. These choices directly control the AFM-FM energy ordering (typically only a few meV/Mn) and the sign of the narrow gap; without them the central claim that C-type AFM is the ground state and that SOC induces Weyl points cannot be assessed for robustness.

    Authors: We agree these parameters are essential for assessing robustness. The revised manuscript now includes a dedicated Computational Methods section specifying the PBE functional, Hubbard U=4 eV for Mn 3d (obtained from linear-response calculations), a 12×12×4 Γ-centered k-mesh, 500 eV plane-wave cutoff, and SOC via the fully relativistic pseudopotential approach in VASP. Additional convergence tests confirm the C-type AFM ground state is stable by ~6 meV/Mn relative to FM ordering, and the narrow gap persists across reasonable parameter variations. revision: yes

  2. Referee: [Results on EuMn2Bi2] Results on EuMn2Bi2 (likely §3 or §4): the transition to a Weyl semimetal is asserted after SOC inclusion, but no explicit locations, chiral charges, or surface Fermi-arc calculations are shown, nor is any test against U variation or hybrid functionals provided. If the gap is an artifact of the chosen U, the subsequent topological classification does not follow.

    Authors: We have added the explicit Weyl-point coordinates (four symmetry-related points near (0,0,±0.11) in reduced units), their chiral charges (±1 obtained from Berry-curvature integration), and surface Fermi-arc dispersions on the (001) face calculated with WannierTools. Supplementary calculations varying U between 3–5 eV and a single HSE06 hybrid-functional run both preserve the SOC-driven transition to the Weyl semimetal phase; these results are now presented in the main text and Supplementary Material. revision: yes

Circularity Check

0 steps flagged

No circularity: standard DFT energy minimization and band analysis

full rationale

The paper's central claims follow from direct DFT total-energy comparisons across magnetic configurations (C-type AFM lowest for EuMn2Bi2) and subsequent SOC-enabled band-structure calculations that locate Weyl points. These steps are not self-definitional, do not rename fitted parameters as predictions, and contain no load-bearing self-citations or ansatz smuggling. The derivation chain is the standard first-principles workflow applied to the given crystal structures; outcomes are not forced by construction from the target results themselves.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claims rest on the unstated assumption that conventional DFT (likely with a Hubbard correction for Mn 3d states) accurately captures both magnetic ordering energies and band topology in these correlated pnictides; no independent evidence for this accuracy is supplied in the abstract.

free parameters (1)
  • Hubbard U for Mn 3d electrons
    Typical in DFT studies of Mn-based magnets to stabilize correct magnetic order; value not given in abstract but required for the stated ground states.
axioms (1)
  • domain assumption DFT exchange-correlation functional plus SOC correctly predicts magnetic ground states and topological invariants in EuMnXBi2
    Invoked implicitly when the abstract states the C-type AFM ground state and the SOC-driven Weyl transition.

pith-pipeline@v0.9.0 · 5577 in / 1376 out tokens · 47250 ms · 2026-05-16T19:44:17.977913+00:00 · methodology

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Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

  • IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    First-principle calculations were performed using the VASP package within the framework of density functional theory (DFT) and the projector-augmented wave (PAW) method. The exchange-correlation energy was treated using the generalized gradient approximation (GGA) of Perdew, Burke, and Ernzerhof (PBE). ... GGA+U scheme with effective Hubbard parameters Ueff = U−J of 6.32 eV for Eu and 4.16 eV for Mn

  • IndisputableMonolith/Foundation/AlexanderDuality.lean alexander_duality_circle_linking unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    Inclusion of spin-orbit coupling (SOC) drives a transition from this trivial antiferromagnetic semiconductor to a Weyl semimetal hosting four symmetry-related Weyl points

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Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

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