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The quantum metric of electrons with spin-momentum locking

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arxiv 2407.06659 v3 pith:LY6ME6DE submitted 2024-07-09 cond-mat.mes-hall cond-mat.mtrl-scicond-mat.str-el

Giacomo Sala , Maria Teresa Mercaldo , Klevis Domi , Stefano Gariglio , Mario Cuoco , Carmine Ortix , Andrea D. Caviglia This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.mtrl-scicond-mat.str-el
keywords quantummetricmaterialsberryeffectselectronicgeometryinterfaces
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Electric field controlled second-order anomalous Hall effect in altermagnets

    cond-mat.mes-hall 2025-10 conditional novelty 6.0 of 10

    A dc field generates a Berry-curvature-dipole-driven second-order anomalous Hall effect in Rashba-coupled hybrid altermagnets, whose magnitude can distinguish dxy from dx2-y2 order at certain dopings.

  2. Third-order and fifth-order nonlinear spin-current generation in $g$-wave and $i$-wave altermagnets, and perfectly nonreciprocal spin-current in $f$-wave magnets

    cond-mat.mes-hall 2024-11 conditional novelty 6.0 of 10

    In two-band models of higher-wave magnets, the only nonzero nonlinear spin Drude conductivity has order equal to one less than the number of Fermi-surface nodes.

  3. Nonlinear Hall responses in tunable nodal Dirac semimetals

    cond-mat.mes-hall 2025-11 conditional novelty 4.0 of 10

    In a tunable 2D Dirac semimetal model, the Berry-connection-polarizability third-order Hall response is largest in the nodal-ring phase near the band edge, while the Berry-curvature-dipole second-order response is lar...

  4. Quantum Geometry in Quantum Materials

    cond-mat.mes-hall 2024-12 unverdicted

    This review surveys how the quantum geometric tensor shapes superconductivity, spin stiffness, exciton condensates, Landau levels, and fractional Chern insulators in quantum materials.

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