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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| Format: | Final Year Project |
| Language: | English |
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Nanyang Technological University
2022
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| Online Access: | https://hdl.handle.net/10356/156721 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | 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. |
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