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arxiv: 2605.23607 · v1 · pith:57H2MJALnew · submitted 2026-05-22 · ❄️ cond-mat.supr-con

Disorder-Induced Phase Transitions in Altermagnetic Josephson Junctions

Chang-An Li This is my paper

Pith reviewed 2026-05-25 02:46 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con
keywords altermagnetic Josephson junctionsdisorder-induced phase transitionsπ phaseφ phase0 phasecritical current suppressioncurrent-phase relationsuperconducting decoherence
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0 comments X

The pith

Disorder induces phase transitions between the exotic π and conventional 0 phases in altermagnetic Josephson junctions while suppressing the critical current.

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

The paper examines how disorder affects unconventional phases in two-dimensional d-wave altermagnetic Josephson junctions. It demonstrates that disorder can trigger phase transitions from the π phase to the 0 phase or vice versa, accompanied by a strong reduction in critical current. The anomalous φ phase proves especially sensitive, transitioning nonreciprocally to either the π or 0 phase. These shifts arise from changes in the tunneling Cooper-pair phase shift and increased superconducting decoherence. The results show that disorder can be used to select between distinct junction phases.

Core claim

In two-dimensional d-wave altermagnetic Josephson junctions, disorder induces phase transitions between the exotic π and conventional 0 phases accompanied by strong suppression of the critical current. The anomalous φ phase is highly fragile in the presence of disorder and can be driven to either a π phase or 0 phase in a nonreciprocal manner. Across such transitions the first harmonic of the current-phase relation changes sign while the higher-order harmonics are rapidly suppressed. This behavior is attributed to modifications of the tunneling Cooper-pair phase shift and superconducting decoherence.

What carries the argument

Modifications of the tunneling Cooper-pair phase shift and superconducting decoherence caused by disorder.

If this is right

  • The critical current undergoes strong suppression during the induced phase transitions.
  • The first harmonic of the current-phase relation reverses sign across the transitions.
  • Higher-order harmonics of the current-phase relation are rapidly suppressed.
  • The φ phase transitions nonreciprocally to either the π or 0 phase depending on the disorder configuration.

Where Pith is reading between the lines

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

  • Disorder concentration could function as a controllable parameter for switching between junction phases in devices.
  • The fragility of the φ phase suggests that phase stability in altermagnetic junctions may require careful material purification.
  • Analogous disorder-driven effects could be examined in three-dimensional or other symmetry altermagnetic junctions.
  • Device applications relying on a stable φ phase would need to account for inevitable material disorder.

Load-bearing premise

The two-dimensional model with the chosen altermagnetic order and disorder distribution accurately represents the physical behavior in real materials.

What would settle it

Fabricate altermagnetic Josephson junctions with controlled levels of disorder and measure the current-phase relation to check whether the φ phase disappears and the π-0 transitions occur with the predicted suppression of critical current.

Figures

Figures reproduced from arXiv: 2605.23607 by Chang-An Li.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Schematic of the disordered AMJJ in 2D. Two [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a-d) Evolution of the CPR with increasing disorder strength [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a-b) CPRs of the AMJJ at different disorder strength [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. (a-b) Evolution of the CPR with increasing disorder [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
read the original abstract

Altermagnetic Josephson junctions (AMJJs) can host unconventional $\pi$ phase and $\varphi$ phase despite vanishing net magnetizations. Whether these phases are stable against disorder existing in real materials remains an open question. Here, we investigate impact of disorder on exotic phases in two-dimensional d-wave AMJJs. We show that disorder is able to induce phase transitions between the exotic $\pi$ and conventional 0 phases, accompanied by a strong suppression of critical current. This behavior is attributed to modifications of the tunneling Cooper-pair phase shift and superconducting decoherence. Remarkably, the anomalous $\varphi$ phase is highly fragile in presence of disorder and can be driven to either a $\pi$ phase or 0 phase in a nonreciprocal manner. Across such transitions, the first harmonic of current-phase relation changes sign, while the higher-order harmonics are rapidly suppressed. Our findings reveal the crucial role of disorder in tailoring distinct phases of AMJJs and shed new light on their potential functionalities.

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 paper uses 2D tight-binding Bogoliubov-de Gennes calculations to study disorder effects in d-wave altermagnetic Josephson junctions. It reports that on-site or hopping disorder induces transitions between the π and 0 phases with strong suppression of the critical current, attributes this to changes in Cooper-pair phase shift and decoherence, and finds the anomalous φ phase to be fragile, driven nonreciprocally to either π or 0 with sign change in the first harmonic of the current-phase relation and rapid suppression of higher harmonics.

Significance. If the numerical results hold under the stated model, they indicate disorder as a mechanism to control and switch between unconventional phases in altermagnetic junctions, potentially relevant for device design. The work provides concrete, falsifiable predictions for 2D systems via the computed current-phase relations and phase diagrams.

major comments (2)
  1. [Modeling and results sections] The central claims (disorder-driven π↔0 transitions, Ic suppression, and nonreciprocal φ-phase destruction) rest entirely on the 2D d-wave altermagnet tight-binding BdG model with a specific disorder distribution; no robustness checks against 3D stacking, continuum limit, or alternative disorder symmetries (magnetic vs. non-magnetic) are reported. If any of these alter the sign of the first harmonic or φ-state stability, the reported transitions do not survive.
  2. [Introduction and methods] The mapping from the chosen 2D lattice altermagnetic order parameter and disorder implementation to real materials is not justified or validated against experimental constraints; deviations in symmetry or dimensionality would directly impact the predicted phase transitions and current-phase relations.
minor comments (2)
  1. [Abstract] The abstract supplies no equations, parameter values, or simulation details, making it difficult to assess the underlying calculations from the summary alone.
  2. [Results] Notation for the current-phase relation harmonics and the definition of the φ phase should be clarified with explicit equations in the main text for reproducibility.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments. We respond point-by-point to the major concerns below.

read point-by-point responses

  1. Referee: [Modeling and results sections] The central claims (disorder-driven π↔0 transitions, Ic suppression, and nonreciprocal φ-phase destruction) rest entirely on the 2D d-wave altermagnet tight-binding BdG model with a specific disorder distribution; no robustness checks against 3D stacking, continuum limit, or alternative disorder symmetries (magnetic vs. non-magnetic) are reported. If any of these alter the sign of the first harmonic or φ-state stability, the reported transitions do not survive.

    Authors: We agree that the results are obtained within a specific 2D tight-binding BdG framework and that explicit checks in 3D, continuum, or with magnetic disorder are absent. The manuscript is explicitly framed as a 2D study of thin-film altermagnetic junctions, where the d-wave altermagnetic order and nearest-neighbor hopping are natural. In revision we will add a dedicated paragraph in the discussion section outlining why the qualitative π↔0 transitions and φ-phase fragility are expected to persist in related geometries (e.g., weak interlayer coupling preserves the in-plane phase winding), while acknowledging that quantitative shifts in critical disorder strength may occur. Full 3D or continuum calculations lie beyond the present scope but are noted as future work. revision: partial

  2. Referee: [Introduction and methods] The mapping from the chosen 2D lattice altermagnetic order parameter and disorder implementation to real materials is not justified or validated against experimental constraints; deviations in symmetry or dimensionality would directly impact the predicted phase transitions and current-phase relations.

    Authors: The model parameters (d-wave altermagnetic splitting, superconducting gap, and disorder strength) are chosen to be representative of known altermagnets such as RuO₂ and MnTe in the thin-film limit. We will revise the introduction and methods to cite the relevant material parameters and to state explicitly that the on-site and hopping disorder distributions are intended to capture generic non-magnetic impurities and interface roughness. The work is presented as a theoretical prediction whose CPR signatures can be tested experimentally; we do not claim quantitative material-specific mapping. revision: yes

Circularity Check

0 steps flagged

No significant circularity; results from explicit numerical BdG modeling

full rationale

The paper reports numerical results from a 2D tight-binding Bogoliubov-de Gennes calculation on a d-wave altermagnet Josephson junction with added on-site or hopping disorder. Phase transitions, Ic suppression, and nonreciprocal φ-phase destruction are direct outputs of solving the model Hamiltonian under the stated symmetries and disorder distributions. No self-definitional loops, fitted parameters renamed as predictions, or load-bearing self-citations appear; the derivation chain consists of standard discretization, diagonalization, and current-phase relation extraction without reducing to tautological inputs or prior author results by construction. This is the normal non-circular outcome for a model-based study.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract alone supplies no information on free parameters, axioms, or invented entities; all such elements remain unknown.

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Reference graph

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