單層與雙層奈米碳系統，例如單層與雙層有限長碳微管，奈米石墨帶-單層石墨混合系統，和碳微管-奈米石墨帶混合物，我們以緊束模型與第一原理計算來研究它們的電子性質。單層有限長碳微管的低能電子態由幾何結構與微管長度所主導，來自鋸齒狀碳微管的特殊局部化電子態可以被磁場與電場所調制。在單層與雙層有限長碳微管中的層間交互作用明顯影響在外場下低能電子態的變化。另一方面，內外層所引起的不同邊界結構也在電子性質中扮演一個重要的角色。至於奈米石墨帶週期性排列在單層石墨上的混合系統中，不同的奈米石墨帶寬度，週期，與堆疊方式被研究。經由層間交互作用，來自單層石墨的線性能帶會改變為拋物線能帶並且打開能隙，並且在態密度中顯露出近似一維特性的結構。此外，手椅狀碳微管放寬在鋸齒狀奈米石墨帶上的混合物，在考慮電子自旋的定位下，反鐵磁的結構是最穩定的。碳微管的位置關係到堆積方式並被詳細地研究。來自碳微管的線性交叉能帶會被層間交互作用破壞。移向奈米石墨帶邊界的碳微管會破壞反鐵磁中自旋向上與向下能帶的簡並。

The electronic properties of monolayer and bilayer nanocarbon systems
(single- and double-walled finite carbon nanotubes, ribbon-graphene hybrid systems, and carbon nanotube-nanoribbon hybrids) are studied within the tight-binding model, and first-principles calculations.
The low-energy states of single-walled finite carbon nanotubes are predominated by the geometrical structure and tube length.
The peculiar localized states of the zigzag nanotube could be modulated by the magnetic and electric fields.
The intertube atomic hoppings in double-walled finite carbon nanotubes significantly influence the variations of the low energy states under the external fields.
In addition, the different boundary structures induced by the inner and outer tube also play an important role in the electronic properties.
As for the ribbon-graphene hybrid systems, the graphene nanoribbons are aligned on the single-layer graphene in a periodical manner.
The band structures are investigated with different widths and periods of the ribbon, as well as the stacking type.
The linear bands crossing at the Fermi level originated from the graphene change into the parabolic bands and open an energy gap owing to the interlayer interactions.
These systems reveal the quasi-one-dimensional peaks in the density of states.
After considering the spin orientation, the hybrids consisting of the armchair nanotube lying on the zigzag ribbon are more stable in the antiferromagnetic configurations.
The nanotube location on the ribbon would be associated with the stacking arrangement and studied in detail.
The interlayer interactions would also break the intersection of the linear band from the armchair carbon nanotube.
The shifting of tube toward the ribbon edge would destroy the degeneracy of spin-up and spin-down states in the antiferromagnetic configuration.

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