FIG 2 - uploaded by Jinlong Yang
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The band structure of (a) monolayer, (b) bilayer, (c) trilayer and (d) 4-layer bernal stacking graphene along Γ KM Γ. The inset is an enlargement of the region indicated by the rectangular around the K point.
Source publication
In this paper, we analytically investigate the electronic structure of Bernal stacking (AB stacking) graphene evolving from monolayer (a zero-gap semiconductor with a linear Dirac-like spectrum around the Fermi energy) to multi-layer (semi-metal bulk graphite). We firstly derive a real space analytical expression for the free Green's function (prop...
Contexts in source publication
Context 1
... an example of applying the dispersion relation obtained in Eq. (7), we compare the energy band structure of bernal stacking multi-layer graphene involves from monolayer to 4-layer, the corresponding energy bands along the ΓKM Γ lines in the first Brillouin zone are shown in Fig.2(a) ∼ 2(d), respectively. In all the calculations, the Fermi energy is set to E f = 0. The following are our ...
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... For a monolayer graphene structure as shown in Fig.2(a), the two bands cross at the K point leads to the fact that a monolayer graphene is a zero-gap metal. ...
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... For a bilayer graphene structure as shown in Fig.2(b), the number of levels is doubled. ...
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... a more detailed investigation based on first principle method shows a small overlap and an interaction leading to anticrossings between the conduction and valence bands. 15 (iii) For a trilayer graphene structure as shown in Fig.2(c), there are four bands cross at the K point around zero en- ergy, two of them are linear. ...
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Citations
The surface states of ABC-stacked few-layer graphene (FLG) are studied based
on density-functional theory. These states form flat bands near the Fermi
level, with the k-space range increasing with the layer number. Based on a
tight-binding model, the characteristics of these surface states and their
evolution with respect to the number of layers are examined. The infrared
optical conductivity is then calculated within the single-particle excitation
picture. We show that the surface states introduce unique peaks at around 0.3
eV in the optical conductivity spectra of ABC-stacked FLG when the polarization
is parallel to the sheets, in good agreement with recent experimental
measurement. Furthermore, as the layer number increases, the absorption
amplitude is greatly enhanced and the peak position red-shifts, which provides
a feasible way to identify the number of layers for ABC-stacked FLG using
optical conductivity measurements.
