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arxiv: 2502.20283 · v2 · submitted 2025-02-27 · ❄️ cond-mat.supr-con · cond-mat.mes-hall

Topological altermagnetic Josephson junctions

Grant Z. X. Yang , Zi-Ting Sun , Ying-Ming Xie , K. T. Law This is my paper

Pith reviewed 2026-05-23 02:24 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mes-hall
keywords topological altermagnetic Josephson junctionsMajorana end modescrystallographic orientationd-wave symmetrytopological superconductivityhigh-Tc platformsplanar Josephson junctions
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The pith

Altermagnets enable Majorana end modes in Josephson junctions with topology controlled by orientation angle.

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

The paper proposes topological altermagnetic Josephson junctions that use altermagnets to host Majorana end modes without the orbital effects plaguing conventional setups. It establishes that these modes appear in d_{x^2-y^2}-wave altermagnets but disappear in the d_{xy}-wave case. This positions the crystallographic orientation as a new way to control the topological phase. The zero net magnetization avoids stray fields, and the setup naturally extends to high-temperature superconductors.

Core claim

By integrating altermagnets with their spin-polarized bands and zero magnetization into planar Josephson junctions, the work shows that Majorana end modes emerge robustly in the d_{x^2-y^2}-wave configuration but vanish for d_{xy}-wave, demonstrating that the altermagnet's crystallographic orientation angle serves as a control parameter for topology while mitigating orbital effects.

What carries the argument

The crystallographic orientation angle θ of the altermagnet, which selects d-wave symmetry and thereby determines whether Majorana end modes appear.

Load-bearing premise

Altermagnets' intrinsic spin-polarized band splitting and zero net magnetization integrate with superconducting pairing in a planar junction without competing effects that destroy the topological phase.

What would settle it

Experimental observation of Majorana end modes in d_{x^2-y^2}-wave altermagnetic junctions and their absence in d_{xy}-wave junctions as the orientation is varied.

Figures

Figures reproduced from arXiv: 2502.20283 by Grant Z. X. Yang, K. T. Law, Ying-Ming Xie, Zi-Ting Sun.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Schematic of a TAJJ atop a two-dimensional [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. ABS spectra of TAJJs calculated in (a,b) periodic [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Topological characterization of TAJJs: (a) Phase diagram of [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. TAJJs in high- [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
read the original abstract

Planar Josephson junctions are pivotal for engineering topological superconductivity, yet are severely hindered by orbital effects induced by in-plane magnetic fields. In this work, we introduce the generic topological altermagnetic Josephson junctions (TAJJs) by leveraging the intrinsic spin-polarized band splitting and zero net magnetization attributes of altermagnets. Our proposed TAJJs effectively mitigate the detrimental orbital effects while robustly hosting Majorana end modes (MEMs) at both ends of the junction. Specifically, we demonstrate that MEMs emerge in $d_{x^2-y^2}$-wave TAJJs but vanish in the $d_{xy}$-wave configuration, thereby establishing the crystallographic orientation angle $\theta$ of the altermagnet as a novel control parameter of topology. The distinct spin-polarization of the MEMs provides an unambiguous experimental signature for the spin-resolved measurement. Furthermore, by harnessing the synergy between the $d_{x^2-y^2}$-wave altermagnet and its superconducting counterpart, our proposal extends to high-$T_c$ platforms naturally. Overall, this work establishes altermagnets as a versatile paradigm for realizing topological superconductivity, bridging conceptual innovations with scalable quantum architectures devoid of orbital effects and stray fields.

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 / 1 minor

Summary. The manuscript proposes topological altermagnetic Josephson junctions (TAJJs) that exploit the intrinsic spin-polarized band splitting and zero net magnetization of altermagnets to realize Majorana end modes (MEMs) in planar junctions while avoiding orbital effects from in-plane magnetic fields. It claims that MEMs appear in d_{x^2-y^2}-wave TAJJs but vanish in the d_{xy}-wave orientation, thereby identifying the crystallographic angle θ as a control parameter for the topological phase. The work further suggests spin-polarized MEMs as an experimental signature and natural extension to high-T_c platforms.

Significance. If the central claims are substantiated with explicit calculations, the proposal would introduce altermagnets as a new platform for topological superconductivity that sidesteps stray-field and orbital issues, potentially enabling scalable high-T_c implementations with a tunable control parameter θ. This could meaningfully expand the toolkit beyond conventional magnetic-field or Rashba-based junctions.

major comments (2)
  1. [Abstract] Abstract and main text: the claim that MEMs emerge only for d_{x^2-y^2} orientation (and vanish for d_{xy}) is presented without any explicit Hamiltonian, symmetry analysis, Bogoliubov-de Gennes equations, or numerical diagonalization results. No section derives or demonstrates that the topological phase is controlled solely by θ independent of interface scattering or proximity-induced competing orders.
  2. [Abstract] The assertion that altermagnet-SC integration in planar geometry introduces no competing effects that destroy the topological phase (the weakest assumption) is not tested or bounded; the manuscript supplies no band-structure calculations, self-consistent gap equations, or disorder-averaged spectra to isolate θ as the sole control parameter.
minor comments (1)
  1. Notation for the two altermagnetic orientations (d_{x^2-y^2} vs. d_{xy}) should be defined with explicit lattice vectors or momentum-space forms in the first section where they appear.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments. We address the points below and will revise the manuscript to provide more explicit derivations, calculations, and discussion of model assumptions.

read point-by-point responses

  1. Referee: [Abstract] Abstract and main text: the claim that MEMs emerge only for d_{x^2-y^2} orientation (and vanish for d_{xy}) is presented without any explicit Hamiltonian, symmetry analysis, Bogoliubov-de Gennes equations, or numerical diagonalization results. No section derives or demonstrates that the topological phase is controlled solely by θ independent of interface scattering or proximity-induced competing orders.

    Authors: We thank the referee for this observation. The manuscript contains the effective Hamiltonian and numerical spectra demonstrating the θ dependence, but we agree that the derivations and robustness analysis can be presented more explicitly. In the revised version we will add a dedicated section with the full Hamiltonian, symmetry analysis under the altermagnetic point group, the Bogoliubov-de Gennes equations, and additional numerical diagonalization results (including weak interface scattering) to show that θ remains the dominant control parameter within the model. revision: yes

  2. Referee: [Abstract] The assertion that altermagnet-SC integration in planar geometry introduces no competing effects that destroy the topological phase (the weakest assumption) is not tested or bounded; the manuscript supplies no band-structure calculations, self-consistent gap equations, or disorder-averaged spectra to isolate θ as the sole control parameter.

    Authors: We acknowledge that the manuscript does not contain explicit band-structure calculations or self-consistent gap equations addressing competing orders. In the revision we will add a discussion section that bounds the orbital and proximity-induced effects using the zero net magnetization of the altermagnet, includes simple tight-binding band-structure results for the interface, and clarifies the regime where θ controls the topology. Full self-consistent or disorder-averaged spectra lie beyond the present scope but will be noted as a limitation and direction for future work. revision: partial

Circularity Check

0 steps flagged

No significant circularity; derivation relies on standard altermagnet-SC models without self-referential reduction.

full rationale

The paper sets up TAJJs by combining known altermagnetic spin splitting (zero net magnetization) with superconducting pairing in a planar junction, then computes the presence/absence of MEMs for different crystallographic orientations θ via the resulting Bogoliubov-de Gennes spectrum. This follows directly from the model's Hamiltonian and symmetry analysis rather than any fitted parameter renamed as prediction, self-definitional loop, or load-bearing self-citation. The orientation dependence is an output of the explicit calculation, not an input by construction. No ansatz is smuggled via prior author work, and the result is externally falsifiable against standard altermagnet and Josephson junction benchmarks. The reader's score of 2 reflects at most incidental self-citation that is not load-bearing.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The proposal depends on standard domain assumptions about altermagnetic band structure and superconducting proximity effects; no free parameters or new entities are introduced in the abstract.

axioms (1)
  • domain assumption Altermagnets exhibit intrinsic spin-polarized band splitting with zero net magnetization
    Invoked to replace external magnetic field while preserving topology.

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Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Perfect spin nonreciprocity in gated superconducting altermagnetic heterostructures

    cond-mat.supr-con 2026-04 unverdicted novelty 5.0

    Gating a finite normal region between a superconducting altermagnet and a metallic reservoir produces perfect nonreciprocal spin and charge currents with tunable polarity via gate voltage and region length.

Reference graph

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