Role of Disorder in Third-order Anomalous Hall Effect in Time-reversal Symmetric Systems
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916779736956928 |
|---|---|
| author | Barman, Chanchal K. Chattopadhyay, Arghya Sarkar, Surajit Zhu, Jian-Xin Nandy, Snehasish |
| author_facet | Barman, Chanchal K. Chattopadhyay, Arghya Sarkar, Surajit Zhu, Jian-Xin Nandy, Snehasish |
| contents | The third-order anomalous Hall effect (TOAHE) driven by Berry connection polarizability in Dirac materials offers a promising avenue for exploring quantum geometric phenomena. We investigate the role of impurity scattering on TOAHE using the semiclassical Boltzmann framework, via a comparison of the intrinsic contributions (stemming from the Berry connection polarizability) with the extrinsic contributions caused by the disorder. To validate our theoretical findings, we employ a generalized two-dimensional low-energy Dirac model to analytically assess the intrinsic and extrinsic contributions to the TOAHE. Our analysis reveals distinct disorder-mediated effects, including skew-scattering and side-jump contributions. We also elucidate their intriguing dependencies on Fermi surface anisotropy and discuss opportunities for experimental exploration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07993 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Role of Disorder in Third-order Anomalous Hall Effect in Time-reversal Symmetric Systems Barman, Chanchal K. Chattopadhyay, Arghya Sarkar, Surajit Zhu, Jian-Xin Nandy, Snehasish Mesoscale and Nanoscale Physics Materials Science The third-order anomalous Hall effect (TOAHE) driven by Berry connection polarizability in Dirac materials offers a promising avenue for exploring quantum geometric phenomena. We investigate the role of impurity scattering on TOAHE using the semiclassical Boltzmann framework, via a comparison of the intrinsic contributions (stemming from the Berry connection polarizability) with the extrinsic contributions caused by the disorder. To validate our theoretical findings, we employ a generalized two-dimensional low-energy Dirac model to analytically assess the intrinsic and extrinsic contributions to the TOAHE. Our analysis reveals distinct disorder-mediated effects, including skew-scattering and side-jump contributions. We also elucidate their intriguing dependencies on Fermi surface anisotropy and discuss opportunities for experimental exploration. |
| title | Role of Disorder in Third-order Anomalous Hall Effect in Time-reversal Symmetric Systems |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2409.07993 |