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

• URL: http://arxiv.org/abs/2010.09537v4
• Date: Wed, 27 Jan 2021 06:58:15 GMT
• Title: Geometrical Hall effect and momentum-space Berry curvature from spin-reversed band pairs
• Authors: 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
• Abstract summary: nanometric, noncoplanar spin textures with scalar spin chirality (SSC) are coupled to itinerant electrons. The resulting deflection of moving charge carriers is termed geometrical (or topological) Hall effect. We show that SOC mixes electronic bands with equal or opposite spin, while SSC is much more effective for opposite spin band pairs.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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