單層奈米石墨帶在空間調製電場下的磁電子性質將以
Peierls緊束模型來研究，在此只考慮最鄰近碳原子交互作
用。一垂直均勻磁場會造成所有能帶皆變成quasi-Landau
levels的形式。然而，空間調製電場將更進一步引起許多振
盪的拋物線能帶且伴隨新的band-edge states產生。調製電
場會激烈地更改能帶色散關係，影響能帶的間距，破壞能帶
結構對kx=0 和費米能的對稱性，改變band-edge states的特
徵。上述的這些磁電子性質將會直接地反應在態密度上。峰
的形式、數量、位置和強度會受調製的影響而改變。這些預
測的態密度結果可以藉由光學實驗量測而得。

The Peierls tight-binding model with the nearest-neighbor interactions is used to calculate the magneto-electronic structure of graphene nanoribbons under a spatially modulated electric fileld along the y-axis. A uniform
perpendicular magnetic field could make all energy dispersions change into the quasi-Landau levels. Such levels are composed of the dispersionless and parabolic energy bands. A spatially modulated electric field would
further induce a lot of oscillating parabolic bands with several band-edge states. It drastically modifies energy dispersions, alters subband spacings, destroys symmetry of energy spectrum about kx = 0 and Fermi level, and changes features of band-edge states (number and energy). The above-mentioned magneto-electronic structures are directly reflected in density of states (DOS). The modulation effect changes shape, number, positions, and intensities of peaks in DOS. The predicted result could be tested by the optical measurements.

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