Repulsive Casimir effect in Chern insulators
Casimir effect originated from quantum fluctuations of the electromagnetic fields and it plays an important role in modern nano-technology. One useful application is that the repulsive Casimir effect can resolve the troublesome stiction issue in material science. In this work, we investigate the...
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| Other Authors: | |
| Format: | Final Year Project (FYP) |
| Language: | English |
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Nanyang Technological University
2022
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| Online Access: | https://hdl.handle.net/10356/156721 |
| _version_ | 1824456676185473024 |
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| author | Tiang, Bi Hong |
| author2 | David Wilkowski |
| author_facet | David Wilkowski Tiang, Bi Hong |
| author_sort | Tiang, Bi Hong |
| collection | NTU |
| description | Casimir effect originated from quantum fluctuations of the electromagnetic fields and it plays an
important role in modern nano-technology. One useful application is that the repulsive Casimir
effect can resolve the troublesome stiction issue in material science. In this work, we investigate
the possibility of achieving the repulsive Casimir effect between two identical Chern insulators in
two directions, i.e. (i) small finite (non- zero) temperature effect on Casimir–Lifshitz interaction
between 2D Chern Insulators with Chern number C = 1 and (ii) the zero temperature Casimir
interaction between 2D Chern Insulators with higher Chern number C = 3, 4, 8.
We argue that we may not obtain repulsive Casimir force in the case of a small finite
(nonzero) temperature effect on the Casimir effect with Chern numbers C = 1. The high temperature regime may diminish the hall conductivity and it tends to generate attractive
Casimir force. Moreover, for the zero temperature case with higher Chern numbers C = 3, 4, 8,
we suggest that it is possible to get repulsive Casimir force as the hall conductivity of two
Chern Insulators has opposing signs. |
| first_indexed | 2025-02-19T03:57:53Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/156721 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:57:53Z |
| publishDate | 2022 |
| publisher | Nanyang Technological University |
| record_format | dspace |
| spelling | ntu-10356/1567212023-02-28T23:19:40Z Repulsive Casimir effect in Chern insulators Tiang, Bi Hong David Wilkowski Lu Bing Sui School of Physical and Mathematical Sciences david.wilkowski@ntu.edu.sg, BSLu@ntu.edu.sg Science::Physics Casimir effect originated from quantum fluctuations of the electromagnetic fields and it plays an important role in modern nano-technology. One useful application is that the repulsive Casimir effect can resolve the troublesome stiction issue in material science. In this work, we investigate the possibility of achieving the repulsive Casimir effect between two identical Chern insulators in two directions, i.e. (i) small finite (non- zero) temperature effect on Casimir–Lifshitz interaction between 2D Chern Insulators with Chern number C = 1 and (ii) the zero temperature Casimir interaction between 2D Chern Insulators with higher Chern number C = 3, 4, 8. We argue that we may not obtain repulsive Casimir force in the case of a small finite (nonzero) temperature effect on the Casimir effect with Chern numbers C = 1. The high temperature regime may diminish the hall conductivity and it tends to generate attractive Casimir force. Moreover, for the zero temperature case with higher Chern numbers C = 3, 4, 8, we suggest that it is possible to get repulsive Casimir force as the hall conductivity of two Chern Insulators has opposing signs. Bachelor of Science in Physics 2022-04-23T06:51:46Z 2022-04-23T06:51:46Z 2022 Final Year Project (FYP) Tiang, B. H. (2022). Repulsive Casimir effect in Chern insulators. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/156721 https://hdl.handle.net/10356/156721 en application/pdf Nanyang Technological University |
| spellingShingle | Science::Physics Tiang, Bi Hong Repulsive Casimir effect in Chern insulators |
| title | Repulsive Casimir effect in Chern insulators |
| title_full | Repulsive Casimir effect in Chern insulators |
| title_fullStr | Repulsive Casimir effect in Chern insulators |
| title_full_unstemmed | Repulsive Casimir effect in Chern insulators |
| title_short | Repulsive Casimir effect in Chern insulators |
| title_sort | repulsive casimir effect in chern insulators |
| topic | Science::Physics |
| url | https://hdl.handle.net/10356/156721 |
| work_keys_str_mv | AT tiangbihong repulsivecasimireffectincherninsulators |