When Antiferromagnets Break Time, What Happens to the Hall?

In the wild world of magnets, there are two familiar moods. One is the loud, defiant chorus of aligned spins that march in step, producing a clear net magnetization you can feel with a compass. The other is a careful counterbalance: neighboring spins point in opposite directions so their magnetic moments cancel out. That second mood—antiferromagnetism—has long been treated as the quiet, unassuming sibling of ferromagnetism. Yet a new line of thinking is teaching us that quiet can still be full of surprises. A study led by researchers at the National Institute for Materials Science (NIMS) in Japan’s MANA center, with collaborators from The University of Osaka, argues that antiferromagnets can host a rare, almost paradoxical mix: time-reversal symmetry can be broken and yet the electron bands can stay spin-degenerate, and still give rise to effects we usually associate with ferromagnets. This is altermagnetism, a word that sounds like a hinge between familiar magnetism and something genuinely new.

The paper, led by I. V. Solovyev with S. A. Nikolaev and A. Tanaka, builds a bridge between three phenomena that have long lived on their own in different corners of condensed matter physics: weak ferromagnetism (WF), the anomalous Hall effect (AHE), and net orbital magnetization (OM). Using a realistic model relevant to La2CuO4 and related perovskites, the team shows that all three can be traced back to the way electrons hop between atoms and how spin-orbit coupling twists those hops. The key twist is that some DM interactions flip sign across bonds, while others keep the sign the same. That subtle distinction matters a lot for what the electrons do near the Fermi surface.

To a broad audience, the message is both practical and poetic: the same ingredient—how the lattice distorts and how spins feel the lattice—can shape a world where time-reversal symmetry feels broken, yet the spin symmetry remains stubbornly intact in the band structure. It’s a reminder that symmetry, not just magnetization, can govern what electrons do when they deflect to the side, or when they align their orbital motion with a subtle twist of the lattice. And it’s a reminder that the “orbit” of electrons—their orbital motion around atoms—can be as central as the spin itself in determining a material’s magnetic and transport personality.