Researchers have uncovered a fascinating new phenomenon in a class of magnetic materials known as altermagnets. These materials exhibit a unique type of magnetism that differs from both conventional ferromagnetism and antiferromagnetism, opening up new possibilities for spintronic and electronic device development. This study explores the non-linear transport properties of planar altermagnets, revealing insights into their quantum geometry. Ferromagnetism, Antiferromagnetism, Spintronics

Unveiling the Quantum Geometric Signatures in Planar Altermagnets
Altermagnets, a newly discovered class of magnetic materials, have been capturing the attention of physicists and materials scientists worldwide. These materials exhibit a unique type of magnetism, characterized by electrons whose spin varies depending on their momentum. This intriguing property makes altermagnets highly promising for the development of innovative spintronic and electronic devices. It also opens up new avenues for the study of topological materials, which are known for their distinctive electronic properties rooted in the topology of their electronic structure.
A team of researchers at Stony Brook University, led by Sayed Ali Akbar Ghorashi, has delved into the non-linear response of planar altermagnets, uncovering the role of quantum geometry in this phenomenon. Their findings, published in the prestigious Physical Review Letters, shed light on the distinctive features of non-linear transport in this newly discovered class of materials.
Revealing the Intricate Interplay of Quantum Geometry and Nonlinear Response
The study’s primary focus was to investigate the non-linear response of altermagnets and the driving factors behind it. To accomplish this, the researchers first computed all contributions to the non-linear response of altermagnets up to the third order in electric field, using the semiclassical Boltzmann theory.
“We uncovered the quantum geometric origin of each term order by order in scattering time,” explained Ghorashi, the co-author of the paper. “Next, for each planar altermagnet, we used symmetry to determine which contributions survive in the longitudinal and Hall components of the third-order conductivity.”
The calculations and analyses carried out by the research team yielded some surprising and insightful results. They identified non-linear responses in planar altermagnets that are directly induced by the materials’ quantum geometry. “Remarkably, due to inversion symmetry, altermagnets have vanishing second-order response,” Ghorashi elaborated. “Therefore, to the best of our knowledge, they are the first class of materials where the third-order response is their leading nonlinear response.”
Furthermore, the researchers discovered that the non-linear response in altermagnets is amplified by the large spin-splitting in these materials. Additionally, the weak spin-orbit coupling (compared to the magnetic exchange term) of altermagnets is reflected in their non-linear response, providing a novel transport characterization for this new class of materials, which was previously limited to searching for linear anomalous Hall conductivity.
Unveiling the Extraordinary Potential of Altermagnets
The findings of this study open up new and exciting possibilities for the exploration of altermagnets and their unique properties. By uncovering the distinctive features of non-linear transport in this newly discovered class of materials, the researchers have laid the groundwork for future experiments aimed at further examining the various aspects of their quantum geometry.
“One immediate future research direction for us will be to go beyond the relaxation time approximation and investigate the effect of disorder, which has already been shown to enrich the physics of PT-symmetric antiferromagnets,” added Ghorashi. This suggests that the team’s ongoing research efforts will delve deeper into the intricacies of altermagnet behavior, potentially leading to even more groundbreaking discoveries in the field of quantum materials.