Berry connection polarizability tensor and third-order Hall effect
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....
| Main Authors: | , , , , , , , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/156340 |
| _version_ | 1826113078727540736 |
|---|---|
| author | Liu, Huiying Zhao, Jianzhou Huang, Yue-Xin Feng, Xiaolong Xiao, Cong Wu, Weikang Lai, Shen Gao, Weibo Yang, Shengyuan A. |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Liu, Huiying Zhao, Jianzhou Huang, Yue-Xin Feng, Xiaolong Xiao, Cong Wu, Weikang Lai, Shen Gao, Weibo Yang, Shengyuan A. |
| author_sort | Liu, Huiying |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T03:17:18Z |
| format | Journal Article |
| id | ntu-10356/156340 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:17:18Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1563402023-02-28T20:05:47Z Berry connection polarizability tensor and third-order Hall effect Liu, Huiying Zhao, Jianzhou Huang, Yue-Xin Feng, Xiaolong Xiao, Cong Wu, Weikang Lai, Shen Gao, Weibo Yang, Shengyuan A. School of Physical and Mathematical Sciences Centre for Disruptive Photonic Technologies (CDPT) The Photonics Institute Science::Physics Quantum Hall Effect Mesoscopic Systems 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. Ministry of Education (MOE) National Research Foundation (NRF) Submitted/Accepted version This work is supported by the Singapore Ministry of Education AcRF Tier 2 (Grant No. MOE2019-T2-1-001), the National Research Foundation CRP program (Grant No. NRF-CRP22-2019-0004), the National Natural Science Foundation of China (No. 11604273), and the UGC/RGC of Hong Kong SAR (AoE/P-701/20). 2022-04-17T08:27:04Z 2022-04-17T08:27:04Z 2022 Journal Article 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-. https://dx.doi.org/10.1103/PhysRevB.105.045118 2469-9950 https://hdl.handle.net/10356/156340 10.1103/PhysRevB.105.045118 2-s2.0-85123360592 4 105 045118 en MOE2019-T2-1-001 NRF-CRP22-2019-0004 Physical Review B © 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. application/pdf |
| spellingShingle | Science::Physics Quantum Hall Effect Mesoscopic Systems Liu, Huiying Zhao, Jianzhou Huang, Yue-Xin Feng, Xiaolong Xiao, Cong Wu, Weikang Lai, Shen Gao, Weibo Yang, Shengyuan A. Berry connection polarizability tensor and third-order Hall effect |
| title | Berry connection polarizability tensor and third-order Hall effect |
| title_full | Berry connection polarizability tensor and third-order Hall effect |
| title_fullStr | Berry connection polarizability tensor and third-order Hall effect |
| title_full_unstemmed | Berry connection polarizability tensor and third-order Hall effect |
| title_short | Berry connection polarizability tensor and third-order Hall effect |
| title_sort | berry connection polarizability tensor and third order hall effect |
| topic | Science::Physics Quantum Hall Effect Mesoscopic Systems |
| url | https://hdl.handle.net/10356/156340 |
| work_keys_str_mv | AT liuhuiying berryconnectionpolarizabilitytensorandthirdorderhalleffect AT zhaojianzhou berryconnectionpolarizabilitytensorandthirdorderhalleffect AT huangyuexin berryconnectionpolarizabilitytensorandthirdorderhalleffect AT fengxiaolong berryconnectionpolarizabilitytensorandthirdorderhalleffect AT xiaocong berryconnectionpolarizabilitytensorandthirdorderhalleffect AT wuweikang berryconnectionpolarizabilitytensorandthirdorderhalleffect AT laishen berryconnectionpolarizabilitytensorandthirdorderhalleffect AT gaoweibo berryconnectionpolarizabilitytensorandthirdorderhalleffect AT yangshengyuana berryconnectionpolarizabilitytensorandthirdorderhalleffect |