Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.17603 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929631794298880 |
|---|---|
| author | Batra, Navketan Feldman, D. E. |
| author_facet | Batra, Navketan Feldman, D. E. |
| contents | A striking general bound on the energy gap in topological matter was recently discovered in Ref. [Onishi and Fu, Phys. Rev. X {\bf 14}, 011052 (2024)]. A non-trivial indirect derivation builds on the properties of optical conductivity at an arbitrary frequency. We propose a simpler derivation, allowing multiple generalizations, such as a universal bound on a gap in anisotropic systems, systems with multiple charge carrier types, and topological systems with zero Hall conductance. The derivation builds on the observation that the bound equals $\hbar$ times the ratio of the force by the external electric field on the charge carriers and their total kinematic momentum in the direction perpendicular to the force. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17603 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Bound on Topological Gap from Newton's Laws Batra, Navketan Feldman, D. E. Mesoscale and Nanoscale Physics A striking general bound on the energy gap in topological matter was recently discovered in Ref. [Onishi and Fu, Phys. Rev. X {\bf 14}, 011052 (2024)]. A non-trivial indirect derivation builds on the properties of optical conductivity at an arbitrary frequency. We propose a simpler derivation, allowing multiple generalizations, such as a universal bound on a gap in anisotropic systems, systems with multiple charge carrier types, and topological systems with zero Hall conductance. The derivation builds on the observation that the bound equals $\hbar$ times the ratio of the force by the external electric field on the charge carriers and their total kinematic momentum in the direction perpendicular to the force. |
| title | A Bound on Topological Gap from Newton's Laws |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2407.17603 |