Intriguing Transport Driven by Generalized Quantum Geometry in Unconventional Magnets

Quantum geometry, encoded in the quantum geometric tensor, provides a unifying framework for understanding diverse transport phenomena in quantum materials. Magnetic systems with unconventional spin structures offer a particularly rich setting where momentum-dependent spin splitting and symmetry breaking give rise to novel, geometry-driven responses. In this talk, I will discuss how such effects lead to unconventional transport behaviors beyond those captured by Berry curvature alone. I will introduce a generalized notion of quantum geometry that reveals hidden spin structures in momentum space and enables new forms of current response, even in systems where conventional geometric contributions are suppressed by symmetry. These insights open pathways to experimentally observable signatures in real materials, highlighting magnets with complex order as a promising platform to probe and control generalized quantum geometry in quantum matter.