| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Microscopic Theory of Nonlinear Hall Effect in Three-Dimensional Magnetic Systems |
| Wen-Tao Hou1* and Jiadong Zang2 |
1School of Physical Science and Technology, Tiangong University, Tianjin 300387, China
2Department of Physics and Astronomy, University of New Hampshire, Durham, New Hampshire 03824, USA
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| Cite this article: |
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Wen-Tao Hou and Jiadong Zang 2024 Chin. Phys. Lett. 41 117502 |
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Abstract Nonlinear Hall effect (NLHE) has been detected in various of condensed matter systems. Unlike linear Hall effect, NLHE may exist in physical systems with broken inversion symmetry in crystals. On the other hand, real space spin texture may also break inversion symmetry and result in NLHE. We employ the Feynman diagrammatic technique to calculate non-linear Hall conductivity (NLHC) in three-dimensional magnetic systems. The results connect NLHE with the physical quantity of emergent electrodynamics which originates from the magnetic texture. The leading order contribution of NLHC, $\chi_{abb}$, is proportional to the emergent toroidal moment $\mathcal{T}_{a}^{\rm e}$, which reflects how the spin textures wind in three dimensions.
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Received: 12 August 2024
Published: 14 November 2024
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| PACS: |
72.80.-r
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(Conductivity of specific materials)
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75.10.-b
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(General theory and models of magnetic ordering)
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75.47.-m
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(Magnetotransport phenomena; materials for magnetotransport)
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75.76.+j
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(Spin transport effects)
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