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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主要作者: Tiang, Bi Hong
其他作者: David Wilkowski
格式: Final Year Project
語言:English
出版: Nanyang Technological University 2022
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在線閱讀:https://hdl.handle.net/10356/156721
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spelling sg-ntu-dr.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
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
spellingShingle Science::Physics
Tiang, Bi Hong
Repulsive Casimir effect in Chern insulators
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.
author2 David Wilkowski
author_facet David Wilkowski
Tiang, Bi Hong
format Final Year Project
author Tiang, Bi Hong
author_sort Tiang, Bi Hong
title Repulsive Casimir effect in Chern insulators
title_short 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_sort repulsive casimir effect in chern insulators
publisher Nanyang Technological University
publishDate 2022
url https://hdl.handle.net/10356/156721
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