Theory of Nonlinear Hall Effect Induced by Electric Field and Temperature Gradient in 3D Chiral Magnetic Textures

TL;DR

This paper introduces the nonlinear chiral thermo-electric (NCTE) Hall effect in 3D chiral magnetic textures, revealing its dependence on magnetic monopoles and texture conditions, with implications for spintronics.

Contribution

It provides a theoretical framework for the NCTE Hall effect in 3D magnetic structures, linking it to magnetic monopole density and texture conditions, which is a novel insight.

Findings

NCTE Hall conductivity is proportional to magnetic monopole density.

Conditions for NCTE effect depend on magnetic texture configurations.

Unconventional phenomena unique to 3D magnetic textures are identified.

Abstract

We investigate the current proportional to the cross product of an electric field and a temperature gradient, which we call the Nonlinear Chiral Thermo-Electric (NCTE) Hall effect, in 3D chiral magnetic structures. We analyze both discrete and continuous magnetization cases. From the analysis of discrete magnetization, we clarify the conditions for the emergence of the NCTE Hall effect caused by magnetic textures. In the continuous magnetization case, we show that the NCTE Hall conductivity is proportional to the density of magnetic monopoles. This study discovers unconventional phenomena unique to 3D magnetic textures, and has significant implications for spintronics and quantum transport.