在本篇論文中，會針對有限長扶手椅型石墨烯奈米帶(Armchair Graphene nanoribbons, AGNR)，和異質結構去進行討論。並特別專注在庫侖阻塞(Coulomb blockade)和包利自旋阻塞區域(Pauli spin blockade, PSB)的電荷傳輸。研究方法採用了考慮了局部化狀態內和局部化狀態間的庫侖相互作用的雙局部化態Hubbard模型。藉由這個模型，我們計算了串聯耦合拓樸態(serially coupled TS, SCTS)的穿隧電流。在有限長度AGNR我們發現經過串聯耦合拓樸態的穿隧電流具有負微分電導(negative differential conductance, NDC)的特性，且該電流是由拓樸態間庫侖交互作用產生而非拓樸態內庫侖交互作用。除此之外，我們還觀察到AGNR在非對稱系統中由於拓樸態間庫侖交互作用而出現的電流整流行為。最後，我們還發現了9-7-9 AGNR異質結構在包利自旋阻塞的配置中具有顯著的電流整流行為。;In this thesis, we will discuss finite-length and heterostructure AGNR with particular focus on charge transport in the Coulomb blockade and PSB regimes. The research approach employs a two-site Hubbard model considering both intra-site and inter-site Coulomb interactions. By this model, we calculate the tunneling current of SCTS. We observe NDC characteristics in tunneling current through SCTS in finite-length AGNRs, and this current arises from inter-site Coulomb interactions rather than intra-site Coulomb interactions. Furthermore, we also observe current rectification behavior in the asymmetric junction of finite AGNRs because of inter-site Coulomb interactions. Finally, we also identified the significant current rectification behavior of SCTS of 9-7-9 AGNR heterostructures in the PSB configuration.
