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

Max Hirschberger, Yusuke Nomura, Hiroyuki Mitamura, Atsushi Miyake, Takashi Koretsune, Yoshio Kaneko, Leonie Spitz, Yasujiro Taguchi, Akira Matsuo, Koichi Kindo, Ryotaro Arita, Masashi Tokunaga, Yoshinori Tokura

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


When nanometric, noncoplanar spin textures with scalar spin chirality (SSC) are coupled to itinerant electrons, they endow the quasiparticle wave functions 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 the geometrical (or topological) Hall effect. Previous experimental studies modeled this signal as a real-space motion of wave packets 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 Nd2Mo2O7 as a model compound, our transport experiments and first-principles calculations show that SOC impartially mixes electronic bands with equal or opposite spin, while SSC is much more effective for opposite-spin band pairs.

Original languageEnglish
Article numberL041111
JournalPhysical Review B
Issue number4
Publication statusPublished - 2021 Jan 25


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