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arxiv: 2605.01812 · v1 · submitted 2026-05-03 · ❄️ cond-mat.mes-hall

Orbital-Splitter Current in Altermagnets

Koushik Ghorai , Sayan Sarkar , Amit Agarwal This is my paper

Pith reviewed 2026-05-09 17:01 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords altermagnetsorbital-splitter currentspin-splitter currentBerry curvatureFeSb2damping-like torquemagnetization switchingorbital transport
0
0 comments X

The pith

Mirror symmetries in FeSb2 yield a purely intrinsic orbital-splitter current that can exceed the spin-splitter current by a factor of four.

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

The paper defines the orbital-splitter current as the orbital analogue of the spin-splitter current that arises in collinear altermagnets from their rotational symmetries. It derives both the Drude and orbital Berry curvature contributions to this current within a density-matrix framework. In the d-wave altermagnet FeSb2, mirror symmetries force the orbital magnetic moment to zero and thereby eliminate the Drude term, leaving only the intrinsic orbital Berry curvature response. This intrinsic orbital-splitter current is strongly anisotropic and reaches nearly four times the magnitude of the spin-splitter current for certain magnetic field directions. The orbital current also generates a damping-like torque on a neighboring ferromagnet and shortens the magnetization reversal time when it acts together with the spin current.

Core claim

In collinear altermagnets, the real-space rotational symmetry of opposite spin sublattices generates a large nonrelativistic spin-splitter current. We introduce the orbital-splitter current (OSC) as its orbital analogue and derive its Drude and orbital Berry curvature contributions using a density-matrix framework. We show that the d-wave altermagnet FeSb2 realizes a purely intrinsic OSC because mirror symmetries suppress the Drude channel by forcing the orbital magnetic moment to vanish. The OSC response is strongly anisotropic and, for selected field orientations, exceeds the spin-splitter current by nearly a factor of four. We further show that the OSC generates a damping-like torque in a

What carries the argument

The orbital-splitter current, obtained from a density-matrix formalism whose Drude term is suppressed in FeSb2 by mirror symmetries that set the orbital magnetic moment to zero, leaving only the orbital Berry curvature contribution.

If this is right

  • The orbital-splitter current varies strongly with the direction of the applied magnetic field.
  • For particular orientations the orbital-splitter current reaches nearly four times the strength of the spin-splitter current.
  • The orbital-splitter current produces a damping-like torque on an adjacent ferromagnet in a heterostructure.
  • When the orbital-splitter current acts together with the spin-splitter current, the time required to reverse the magnetization is significantly reduced.

Where Pith is reading between the lines

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

  • Orbital currents could provide an efficient torque mechanism in altermagnet-based devices that avoids the need for heavy elements to generate spin-orbit coupling.
  • The strong anisotropy offers a way to steer the direction of orbital torques by rotating the applied field.
  • Other altermagnets with comparable mirror symmetries may exhibit similarly dominant intrinsic orbital responses.
  • The torque effect could be tested by fabricating thin-film altermagnet-ferromagnet stacks and measuring reversal times under combined orbital and spin currents.

Load-bearing premise

Mirror symmetries in the d-wave altermagnet FeSb2 force the orbital magnetic moment to vanish, which completely suppresses the Drude contribution and leaves only the intrinsic orbital Berry curvature term.

What would settle it

A direct measurement of nonzero orbital conductivity from the Drude channel in FeSb2, or the absence of the predicted fourfold enhancement of orbital over spin current for selected field angles, would contradict the central claim.

Figures

Figures reproduced from arXiv: 2605.01812 by Amit Agarwal, Koushik Ghorai, Sayan Sarkar.

Figure 1
Figure 1. Figure 1: FIG. 1 view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Crystallographic and magnetic structure of FeSb view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a), (b) Transverse and longitudinal spin currents, flowing perpendicular and parallel to the applied electric field, view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Variation of spin and orbital Hall conductivities with the altermagnetic order strength view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. (a) Spin-splitter current and three components of the orbital current in FeSb view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Anomalous Hall current (AHC) in FeSb view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. The switching time decreases progressively when considering (a) only the spin-splitter current, (b) only the orbital view at source ↗
read the original abstract

In collinear altermagnets, the real-space rotational symmetry of opposite spin sublattices generates a large nonrelativistic spin-splitter current. Orbital transport in this setting has remained largely unexplored. Here, we introduce the orbital-splitter current (OSC), an orbital analogue of the spin-splitter current, and derive its Drude and orbital Berry curvature contributions using a density-matrix framework. We show that the $d$-wave altermagnet $\mathrm{FeSb}_2$ realizes a purely intrinsic OSC because mirror symmetries suppress the Drude channel by forcing the orbital magnetic moment to vanish. The OSC response is strongly anisotropic and, for selected field orientations, exceeds the spin-splitter current by nearly a factor of four. We further show that the OSC generates a damping-like torque in an altermagnet-ferromagnet heterostructure and, when combined with the spin-splitter current, significantly reduces the magnetization switching time.

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

0 major / 2 minor

Summary. The manuscript introduces the orbital-splitter current (OSC) as the orbital analogue of the spin-splitter current in collinear altermagnets. Within a density-matrix transport framework, the Drude and orbital Berry-curvature contributions to the OSC are derived. For the d-wave altermagnet FeSb2, mirror symmetries are shown to force the orbital magnetic moment to vanish, thereby completely suppressing the Drude channel and yielding a purely intrinsic OSC. The OSC response is strongly anisotropic; for selected field orientations it exceeds the spin-splitter current by nearly a factor of four. The OSC is further shown to generate a damping-like torque in an altermagnet-ferromagnet heterostructure, and its combination with the spin-splitter current significantly reduces magnetization switching time.

Significance. If the symmetry argument for complete Drude suppression holds, the work supplies a clean theoretical platform for orbital transport in altermagnets that is free of scattering contributions. The reported anisotropy, the factor-of-four enhancement relative to the spin-splitter current, and the explicit torque and switching-time calculations constitute concrete, falsifiable predictions that can guide future experiments. The density-matrix derivation and the focus on a specific, experimentally relevant material (FeSb2) add technical strength; the absence of free parameters in the central symmetry claim is a notable asset.

minor comments (2)
  1. [Abstract] The abstract states that the OSC 'exceeds the spin-splitter current by nearly a factor of four' for selected orientations; the main text should state the precise field directions and the numerical ratio obtained from the Berry-curvature integral so that the claim can be directly verified.
  2. Notation for the orbital magnetic moment operator and its expectation value should be introduced once at the beginning of the symmetry analysis and used consistently thereafter to avoid ambiguity when the vanishing condition is invoked.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive and insightful review, including the clear summary of our results on the orbital-splitter current and the recommendation to accept the manuscript. The assessment that the symmetry-based suppression of the Drude channel provides a clean platform for intrinsic orbital transport, together with the concrete predictions for anisotropy and torque, is very encouraging.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The derivation of the orbital-splitter current proceeds from a density-matrix transport framework applied to the symmetries of d-wave altermagnet FeSb2. Mirror symmetries are invoked to set the orbital magnetic moment to zero, thereby eliminating the Drude term and isolating the intrinsic Berry-curvature contribution; this step is presented as a direct symmetry consequence rather than a self-definition or parameter fit. Subsequent anisotropy, factor-of-four comparison to the spin-splitter current, and torque/switching results follow from the resulting expressions without reduction to prior self-citations or ansatz smuggling. The central claim remains independent of its own outputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on standard condensed-matter transport theory plus material-specific symmetry assumptions for d-wave altermagnets; no free parameters or new particles are mentioned in the abstract.

axioms (2)
  • domain assumption Collinear altermagnets possess real-space rotational symmetry between opposite-spin sublattices that generates nonrelativistic spin-splitter currents.
    This is the starting point for defining the orbital analogue.
  • domain assumption Mirror symmetries in FeSb2 force the orbital magnetic moment to vanish and thereby suppress the Drude channel.
    This symmetry argument is invoked to conclude that the OSC is purely intrinsic.

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