本論文主要研究弗洛凱拓樸系統之拓樸不變量、邊界條件和手性邊緣態三者之間的關係。我們先透過淬火週期調制製造蜂窩晶格的弗洛凱拓樸模型，經過計算其不變量以此預測手性邊緣態數目，並各以不同邊界條件模擬其能帶圖，觀察是否如不變量所預期之結果，再以同週期調制方式制造 T_3\ 晶格的弗洛凱拓樸模型，計算其拓樸不變量，觀察不同的邊界條件對應的手性邊緣態是否如預期，與蜂窩晶格的弗洛凱模型有何異同。;The focus of this thesis is to investigate the relationship between the invariants, boundary conditions, and chiral edge states in Floquet topological systems. Using Floquet topological models on both honeycomb and T3 lattices, we calculate their invariants to predict the presence of chiral edge states. The band structures are simulated under various boundary conditions for each lattice, allowing us to observe whether the results align with the predictions of the invariants and to explore the similarities and differences in chiral edge states between different boundary conditions and lattice structures.
