The quantum metric of electrons with spin-momentum locking

Kavli Affiliate: Andrea D. Caviglia

| First 5 Authors: Giacomo Sala, Maria Teresa Mercaldo, Klevis Domi, Stefano Gariglio, Mario Cuoco

| Summary:

Quantum materials are characterized by electromagnetic responses
intrinsically linked to the geometry and topology of the electronic
wavefunctions. These properties are encoded in the quantum metric and Berry
curvature. While Berry curvature-mediated transport effects such as the
anomalous and nonlinear Hall effects have been identified in several magnetic
and nonmagnetic systems, quantum metric-induced transport phenomena remain
limited to topological antiferromagnets. Here we show that spin-momentum
locking — a general characteristic of the electronic states at surfaces and
interfaces of spin-orbit coupled materials — leads to a finite quantum metric.
This metric activates a nonlinear in-plane magnetoresistance that we measure
and electrically control in 111-oriented LaAlO$_3$/SrTiO$_3$ interfaces. These
findings demonstrate the existence of quantum metric effects in a vast class of
materials and provide new strategies to design functionalities based on the
quantum geometry.

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