- 學位論文
石墨烯系統的Hofstatdter能譜探討
Investigation of the Hofstadter Spectrum in Graphene Systems
摘要
在本論文中，我們討論以緊束縛模型描述受磁場影響的電子在方形晶格及石墨烯具有的蜂巢狀晶格裡，其能量與磁場的關係，即Hofstadter能譜。我們仔細研究了在不同邊界或不同大小的系統之情形，並且透過數值方法得到的結果，以簡單的解析模型來理解其與相關的Landau能階之間的關聯。
並列摘要
We discussed in this thesis the tight-binding model description of electrons on the square lattice and, in particular, honeycomb lattice in graphene systems and focusing on the variation of the energy with magnetic field, namely, the Hofstadter spectrum. We studied in detail the situations with different boundary conditions or lattice sizes. And we applied simple analytic model of the associated Landau levels to understand the results obtained numerically.
參考文獻
[1] A. K. Geim, K. S. Novoselov, Nature Materials 6, 183 (2007).
[2] K. S. Novoselov et. al., Science 306, 666 (2004).
[3] S. K. Nayak, Appl. Phys. Lett. 91, 042101 (2007).
[4] M. I. Katsnelson, Mater. Today 10, 20 (2007).
[5] M. Oshikawa, Phys. Rev. B 50 , 17357 (1994).
延伸閱讀
- 朱永恩（2011）。分析石墨烯之電子場發射特性及其應用於掃描穿隧式電子顯微鏡〔碩士論文，大同大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0081-3001201315111203
- 謝孟霖（2021）。石墨烯量子點在光催化降解抗生素與鈣鈦礦太陽能電池下轉換裝置之應用〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu202100447
- 鄭宜陞（2021）。石墨烯與光子晶體共振腔結構之表面電漿探討及其在生醫感測的應用〔碩士論文，國立臺灣師範大學〕。華藝線上圖書館。https://doi.org/10.6345/NTNU202101173
- Hu, I. F. (2019). Fabrication and Measurements of Graphene Resonators [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU201902266
- 許仕傲（2015）。Negative Differential Resistance in Graphene Superlattices〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2015.10999