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Title: Berry connection polarizability tensor and third-order Hall effect
Authors: Liu, Huiying
Zhao, Jianzhou
Huang, Yue-Xin
Feng, Xiaolong
Xiao, Cong
Wu, Weikang
Lai, Shen
Gao, Weibo
Yang, Shengyuan A.
Keywords: Science::Physics
Issue Date: 2022
Source: Liu, H., Zhao, J., Huang, Y., Feng, X., Xiao, C., Wu, W., Lai, S., Gao, W. & Yang, S. A. (2022). Berry connection polarizability tensor and third-order Hall effect. Physical Review B, 105(4), 045118-.
Project: MOE2019-T2-1-001 
Journal: Physical Review B 
Abstract: One big achievement in modern condensed matter physics is the recognition of the importance of various band geometric quantities in physical effects. As prominent examples, Berry curvature and the Berry curvature dipole are connected to the linear and the second-order Hall effects, respectively. Here, we show that the Berry connection polarizability (BCP) tensor, as another intrinsic band geometric quantity, plays a key role in the third-order Hall effect. Based on the extended semiclassical formalism, we develop a theory for the third-order charge transport and derive explicit formulas for the third-order conductivity. Our theory is applied to the two-dimensional (2D) Dirac model to investigate the essential features of the BCP and the third-order Hall response. We further demonstrate the combination of our theory with the first-principles calculations to study a concrete material system, the monolayer FeSe. Our work establishes a foundation for the study of third-order transport effects, and reveals the third-order Hall effect as a tool for characterizing a large class of materials and for probing the BCP in band structure.
ISSN: 2469-9950
DOI: 10.1103/PhysRevB.105.045118
Schools: School of Physical and Mathematical Sciences 
Research Centres: Centre for Disruptive Photonic Technologies (CDPT) 
The Photonics Institute 
Rights: © 2022 American Physical Society. All rights reserved. This paper was published in Physical Review B and is made available with permission of American Physical Society.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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