Geometrical Hall effect and momentum-space Berry curvature from spin-reversed band pairs

Abstract

When nanometric, noncoplanar spin textures with scalar spin chirality (SSC) are coupled to itinerant electrons, they endow the quasiparticle wavefunctions with a gauge field, termed Berry curvature, in a way that bears analogy to relativistic spin-orbit coupling (SOC). The resulting deflection of moving charge carriers is termed geometrical (or topological) Hall effect. Previous experimental studies modeled this signal as a real-space motion of wavepackets under the influence of a quantum-mechanical phase. In contrast, we here compare the modification of Bloch waves themselves, and of their energy dispersion, due to SOC and SSC. Using the canted pyrochlore ferromagnet Nd${}_2$Mo${}_2$O${}_7$ as a model compound, our transport experiments and first-principle calculations show that SOC impartially mixes electronic bands with equal or opposite spin, while SSC is much more effective for opposite spin band pairs.

arXiv comment14 pages, 4 figures

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Cited by in corpus (8)

• Enumeration and representation theory of spin space groups
• Symmetry analysis with spin crystallographic groups: Disentangling effects free of spin-orbit coupling in emergent electromagnetism
• Magnetic-field modulation of topological electronic states and emergent magneto-transport in a magnetic Weyl semimetal
• Spin-orbital liquids and insulator-metal transitions on the pyrochlore lattice
• Entropy-assisted, long-period stacking of honeycomb layers in an AlB2-type silicide
• Robust noncoplanar magnetism in band filling-tuned (Nd${}_{1-x}$Ca${}_x$)${}_2$Mo${}_2$O${}_7$
• Metal-insulator transitions in pyrochlore oxides
• Highly anisotropic geometrical Hall effect via f-d exchange fields in doped pyrochlore molybdates