
Exchange bias between magnets pointing at right angles, and the domain structure behind it
Magnetic coupling across an interface is usually described between two magnets that share an axis. This work paired two whose preferred directions are perpendicular to each other, showed they still couple strongly enough to bias one another, and then imaged the magnetic structure inside the device to explain how. The direction of the effect is set by a magnetic-field pulse at operating temperature, without cooling the device through any transition.
Exchange bias is normally described between collinear magnets. Here the two are orthogonal: CrSBr is an antiferromagnet with in-plane spins, Fe3GeTe2 (FGT) a ferromagnet with out-of-plane spins, so neither can pin the other along a shared axis.
They couple regardless. A ±2.5 T out-of-plane preset field, applied at the measurement temperature rather than by cooling through an ordering temperature, sets a bias of roughly ±47 mT at 10 K whose sign follows the preset polarity, and the effect survives up to the 132 K Néel temperature of CrSBr. Setting a pinning direction without a field-cool step is the part that generalises beyond this material pair.
Cross-sectional off-axis electron holography shows what the coupling does inside the ferromagnet: CrSBr drives stripe-like flux-closure domains in FGT, with Bloch walls through the centre and Néel-type closure caps at the surfaces. Reversal then proceeds asymmetrically by domain nucleation, which a five-state model reproduces from interfacial exchange, the two competing anisotropies, and dipolar fields. Two limits are worth stating: the bias appears only on the first loop after each preset, a strong training effect, and it requires thick (≈87 nm) FGT, with no out-of-plane bias seen in the 9–12 nm regime.

The device, the two oppositely shifted hysteresis loops that define the switchable bias, the cross-section, and the holographic induction map. The concentric loops inside the FGT layer are the circulating flux-closure domains themselves: colour gives the direction of the magnetic induction, so each closed set of contours is magnetisation rotating through a full turn in the plane of the cross-section.
Sole first author. Published in Small 21, e06284 (2025), 10.1002/smll.202506284. Analysis code: EB-in-FGT_CrSBr-vdW-heterostructure.