Microscopic Theory of Nonlinear Hall Effect in Three-Dimensional Magnetic Systems  

作　　者：Wen-Tao Hou Jiadong Zang 侯文涛;臧佳栋(School of Physical Science and Technology,Tiangong University,Tianjin 300387,China;Department of Physics and Astronomy,University of New Hampshire,Durham,New Hampshire 03824,USA)

机构地区：[1]School of Physical Science and Technology,Tiangong University,Tianjin 300387,China [2]Department of Physics and Astronomy,University of New Hampshire,Durham,New Hampshire 03824,USA

出　　处：《Chinese Physics Letters》2024年第11期177-189,共13页中国物理快报（英文版）

基　　金：supported by the Startup Foundation in Tiangong University(Grant No.63010201/52010399);supported by the Office of Basic Energy Sciences,Division of Materials Sciences and Engineering,U.S.Department of Energy(Grant No.DE-SC0020221)。

摘　　要：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,χ_(abb),is proportional to the emergent toroidal moment T_(α)^(e),which reflects how the spin textures wind in three dimensions.

关 键 词：NONLINEAR SYMMETRY FEYNMAN 

分 类 号：O469[理学—凝聚态物理]