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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

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Taisei Yamanaka

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Preprint Sep 2026

Thermodynamic Electric Toroidal Dipole and Intrinsic Longitudinal Spin Transport

Electric toroidal dipoles (ETDs) characterize ferroaxial order, yet their bulk definition in periodic crystals has remained elusive because conventional multipole operators involve the ill-defined position operator. Here we formulate a thermodynamic ETD by coupling a spatially varying electric field to the relativistic...

Taisei Yamanaka, Takumi Sato, Satoru Hayami · 0 citations

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