The recurrent relations for the electronic band structure of the multilayer graphene

The structure of the electronic energy bands for stacked multilayer graphene is developed using the tight-binding approximation (TBA). The spectra of the Dirac electrons are investigated in vicinity of the Brillouin zone minima. The electron energy dependence on quasi-momentum is established for an arbitrary number of the graphene layers for multilayer graphene having even number of layers N = 2 n , ( n = 2, 3, 4, …) with the Bernal stacking ABAB … AB; or for odd number of layers N = 2 n + 1, ( n = 1, 2, 3, …) with stacking ABAB … A. It is shown that four non-degenerate energy branches of the electronic energy spectrum are present for any number of layers. Degeneracy is considered of graphene-like energy branches with linear dispersion law. Dependences of such branches number and their degeneracy are found on number of layers. The recurrent relations are obtained for the electronic band structure of the stacked ABA…, ABC… and AAA… multilayer graphene. The flat electronic bands are obtained for ABC-stacked multilayer graphene near the K -point at the Fermi level. Such an approach may be useful in the study of multivarious aspects of graphene's physics and nanotechnologies. Also paper gives new hints for deeper studies of graphite intercalation compounds.

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ELECTRONIC BAND STRUCTURE OF CARBON NANOTUBES WITH QUINOID STRUCTURE

Modern Physics Letters B ◽

10.1142/s0217984913501790 ◽

2013 ◽

Vol 27 (25) ◽

pp. 1350179

Author(s):

NGUYEN NGOC HIEU ◽

NGUYEN PHAM QUYNH ANH

Keyword(s):

Carbon Nanotubes ◽

Carbon Nanotube ◽

Band Structure ◽

Electronic Band Structure ◽

Tight Binding ◽

Electronic Energy ◽

Electronic Band ◽

Tight Binding Approximation ◽

Quinoid Structure ◽

Structure Of Carbon Nanotubes

In this paper, we fully describe the geometry of atomic structure of carbon nanotube with quinoid structure. Electronic energy band structure of carbon nanotubes with quinoid structure is studied by tight-binding approximation. In the presence of bond alternation, calculations show that only armchair (n, n) carbon nanotube (without twisting) remains metallic and zigzag (3ν - 1, -3ν + 1) CNT becomes metallic at the critical elongation. Effect of deformation on the change of band gap is also calculated and discussed.

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The electronic band structure of polydiacetylenes with second- and third-neighbor hopping interaction

Canadian Journal of Physics ◽

10.1139/p01-035 ◽

2001 ◽

Vol 79 (4) ◽

pp. 749-756

Author(s):

H F Hu ◽

Y B Li ◽

K L Yao

Keyword(s):

Band Structure ◽

Energy Band ◽

Energy Gap ◽

Electronic Band Structure ◽

Energy Band Structure ◽

Interaction Parameters ◽

Energy Bands ◽

Electronic Band

We have studied the energy band structure of polydiacetylenes (PDAs) using the extensional Hückel Hamiltonian that includes the nonnearest-neighbor hopping interactions. The results show that with increase in the nonnearest-neighbor hopping interaction parameters ρ1 and ρ2, (i) the energy band symmetry is broken and the energy gap 2Δ has changed, (ii) the locations and the widths of energy bands have changed and their shifts depend mainly on ρ1 (next-neighbor hopping interactions), and (iii) the energy gap 2Δ depends mainly on ρ2 (third-neighbor hopping interactions), the effects of the nonnearest-neighbor hopping interaction on the band structure are discussed. PACS No.: 31.15Ct

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A consolidated account of electrochemical determination of band structure parameters in II–VI semiconductor quantum dots: a tutorial review

Physical Chemistry Chemical Physics ◽

10.1039/c8cp06847j ◽

2019 ◽

Vol 21 (9) ◽

pp. 4695-4716 ◽

Cited By ~ 3

Author(s):

Pravin Popinand Ingole

Keyword(s):

Quantum Dots ◽

Band Structure ◽

Electronic Band Structure ◽

Energy Levels ◽

Electrochemical Determination ◽

Electronic Energy ◽

Semiconductor Quantum Dots ◽

Electronic Band ◽

Nano Structure ◽

Electronic Energy Levels

Probing absolute electronic energy levels in semiconductor quantum dots (Q-dots) is crucial for engineering their electronic band structure and hence for precise design of composite nano-structure based devices.

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Electronic Energy Bands in γ-InSe with and without Intercalated Lithium

MRS Proceedings ◽

10.1557/proc-210-137 ◽

1990 ◽

Vol 210 ◽

Author(s):

P. Gomes Da Costa ◽

M. Balkanski ◽

R. F. WALLIS

Keyword(s):

Lithium Atom ◽

Electronic Band Structure ◽

Tight Binding ◽

Electronic Energy ◽

Band Gaps ◽

Energy Bands ◽

Energy Position ◽

Electronic Band ◽

Direct Band ◽

Electronic Energy Bands

AbstractThe effect of intercalated lithium on the electronic band structure of the γ-polytype of InSe has been investigated using a tight-binding method. The energy bands of the pure polytype were calculated and the results compared with previous work. The modifications of the energy bands produced by the introduction of one lithium atom per unit cell were calculated for the lowest potential energy position of the lithium atom in the Van der Waals gap between layers. The results for the changes in the smallest and next-to-smallest direct band gaps are compared with experimental data. An interpretation of a photoluminescence peak produced by lithium intercalation is given.

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Electronic structure of helically coiled carbon nanotubes

MRS Proceedings ◽

10.1557/proc-0901-ra11-28-rb11-28 ◽

2005 ◽

Vol 901 ◽

Author(s):

Gian Giacomo Guzman-Verri ◽

Lok C. Lew Yan Voon ◽

Morten Willatzen ◽

Jens Gravesen

Keyword(s):

Carbon Nanotubes ◽

Band Structure ◽

Electronic Band Structure ◽

Electronic Energy ◽

Electronic Band ◽

Curvature Effects ◽

Helical Carbon Nanotubes ◽

Coil Diameter ◽

Curvature Energy ◽

Effective Mass Approach

AbstractIn the present work we calculate the electronic band structure of single-wall helical carbon nanotubes following an effective-mass approach. We include curvature effects and strain due to bending in the band structure. The curvature energy ΔE, and the change in the electronic energy ΔEs due to strain, depend upon the coil pitch and coil diameter of the tube. We find 0.003 ≤|ΔE|≤ 1.3 eV and 0 ≤ΔEs ≤ 4.0 eV for the single-wall helical carbon nanotubes considered here.

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A Review of Electronic Band Structure of Graphene and Carbon Nanotubes Using Tight Binding

Journal of Nanotechnology ◽

10.1155/2011/471241 ◽

2011 ◽

Vol 2011 ◽

pp. 1-6 ◽

Cited By ~ 5

Author(s):

Davood Fathi

Keyword(s):

Carbon Nanotubes ◽

Band Structure ◽

Approximation Theory ◽

Electronic Band Structure ◽

Tight Binding ◽

Single Walled Carbon Nanotubes ◽

Electronic Band ◽

Tight Binding Approximation ◽

Chiral Nanotubes ◽

Walled Carbon Nanotubes

The electronic band structure variations of single-walled carbon nanotubes (SWCNTs) using Huckle/tight binding approximation theory are studied. According to the chirality indices, the related expressions for energy dispersion variations of these elements are derived and plotted for zigzag and chiral nanotubes.

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The Spin-Resolved Electronic Band Structure of Cadmium Oxide Doped with Transition Elements

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.200.123 ◽

2013 ◽

Vol 200 ◽

pp. 123-128 ◽

Cited By ~ 4

Author(s):

Stepan Syrotyuk ◽

Vira Shved

Keyword(s):

Electronic Band Structure ◽

Cadmium Oxide ◽

Transition Element ◽

Electronic Energy ◽

Total Density ◽

Transition Elements ◽

Energy Bands ◽

Strong Electron ◽

Electronic Band ◽

Electronic Energy Bands

The spin-resolved electronic energy bands and partial and total density of states of cadmium oxide doped with Sc, Ti and Cr have been evaluated by means of the ABINIT code. The strong electron correlations of Cd 4d and transition element 3d states have been taken into account. It was found that the CdScO and CdTiO crystals are paramagnetic and CdCrO shows the ferromagnetic ordering.

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