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  • 學位論文

具有一般邊界條件的Non-Hermitian SSH模型

Non-Hermitian SSH Model with General Boundary Condition

指導教授 : 高賢忠

摘要


本文主要研究滿足一般邊界條界的Non-Hermitian Su-Schrieffer-Heeger (nSSH)模型。我首先介紹Su-Schrieffer-Heeger (SSH)模型,透過bulk edge correspondence來預測該系統邊界態的數目。接著將這些想法推廣至non-Hermitian的系統,並且介紹更一般的邊界條件。我發現不同於SSH模型,此時系統存在skin effect及exceptional points。並且列出exceptional points出現的條件,討論其中有趣的性質。

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參考文獻


Asbóth, János K. and Oroszlány, László and Pályi, András, "A Short Course on Topological Insulators:Band Structure and Edge States in One and Two Dimensions," 978-3-319-25605-4 Springer Published: 23 February 2016.
Chen, Ze-Guo and Wang, Licheng and Zhang, Guanqing and Ma, Guancong, "Chiral Symmetry Breaking of Tight-Binding Models in Coupled Acoustic-Cavity Systems," Phys. Rev. Appl. 14, 024023 (2020).
Xueda Wen and Marvin Qi and Agnès Beaudry and Juan Moreno and Markus J. Pflaum and Daniel Spiegel and Ashvin Vishwanath and Michael Hermele, "Flow of (higher) Berry curvature and bulk-boundary correspondence in parametrized quantum systems," arXiv:2112.07748 (2021).
Maxim Braverman, "The Berry phase and the phase of the determinant," J. Math. Phys. 55, 042106 (2014).
Marcos Atala, Monika Aidelsburger, Julio T. Barreiro, Dmitry Abanin, Takuya Kitagawa, Eugene Demler, and Immanuel Bloch, "Direct measurement of the Zak phase in topological Bloch bands," Nat. Phys. 9, 795 (2013).

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