The quantum metric of electrons with spin-momentum locking

Abstract

Quantum materials are characterized by electromagnetic responses intrinsically linked to the geometry and topology of electronic wavefunctions, encoded in the quantum metric and Berry curvature. Whereas Berry curvature-mediated transport 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 enable previously unexplored strategies to design functionalities based on quantum geometry.

Published

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Cited by in corpus (7)

• Quantum geometry and $X$-wave magnets with $X=p,d,f,g,i$
• Relativistic spin-momentum locking in ferromagnets
• Quantum geometry in low-energy linear and nonlinear optical responses of magnetic Rashba semiconductor (Ge,Mn)Te
• Fourth-order and six-order nonlinear spin current rectifier in three-dimensional $h$-wave and $j$-wave odd-parity magnet
• Lithography-free patterning of SrTiO${}_3$-based two-dimensional electron gases using direct atomic layer processing
• Electric field controlled second-order anomalous Hall effect in altermagnets
• Quantum geometric map of magnetotransport