An analytical approach for the energy spectrum and optical properties of gated bilayer graphene

RSC Advances ◽  
2014 ◽  
Vol 4 (61) ◽  
pp. 32117-32126 ◽  
Author(s):  
Cheng-Peng Chang
Keyword(s):  
Optical Properties ◽  
Energy Spectrum ◽  
Matrix Element ◽  
Absorption Spectra ◽  
Analytical Approach ◽  
Bilayer Graphene ◽  
Wave Functions ◽  
Dipole Matrix Element ◽  
Exact Energy

An analytical approach is developed to access the exact energy spectrum, wave functions, dipole matrix element (Mfi) and absorption spectra (A(ω)) of gated Bernal bilayer graphene.

Subband Structure and Optical Transitions in a Superlattice with Electron Quasi-Localised States in Unit Cell

1999 ◽  
Vol 579 ◽  
Author(s):  
A.V. Dmitriev ◽  
V.V. Makeev
Keyword(s):  
Matrix Element ◽  
Dispersion Relation ◽  
Band Structure ◽  
Electron Spectrum ◽  
Unit Cell ◽  
Wave Functions ◽  
Optical Transitions ◽  
Dipole Matrix Element ◽  
Localised States ◽  
Subband Structure

ABSTRACTWe studied theoretically the electron spectrum and infrared transitions in a superlattice with a unit cell allowing for quasi-localised carrier states. The dispersion relation and the band structure of such a system have been found. We also calculated the dipole matrix element for inter-subband carrier infrared transitions. The wave functions and the electron spectrum in this superlattice show a peculiarity when the energy of a band state approaches the energy of the quasi-localised state in the single cell. In particular, the absorption strength peaks up at the respective frequencies.

Comparison of the Optical Cross Section for the Si Dangling Bond in a- Si:H and At the c - Si/SiO2 Interface

1985 ◽  
Vol 46 ◽  
Author(s):  
W. B. Jackson ◽  
N. M. Johnson
Keyword(s):  
Optical Properties ◽  
Matrix Element ◽  
Amorphous Silicon ◽  
Cross Section ◽  
Hydrogenated Amorphous Silicon ◽  
Optical Measurements ◽  
Dipole Matrix Element ◽  
Dangling Bond ◽  
Optical Cross Section ◽  
Hydrogenated Amorphous

AbstractThe optical properties of the trivalent silicon dangling bond defect in hydrogenated amorphous silicon and at the Si/SiO2 interface are compared. While both defects give rise to ambipolar deep levels within the gap, significant differences in the optical properties between the two systems are found. The absorption in a-Si:H is significantly stronger and is dominated by a transition from the defect to the conduction band while the absorption at the interface is dominated by hole emission. The average dipole matrix element squared is roughly independent of energy in both systems with a magnitude of ∼30Å2. Implications of these results for optical measurements in other silicon systems are discussed.

scholarly journals Fractional Chern insulator states in twisted bilayer graphene: An analytical approach

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Patrick J. Ledwith ◽  
Grigory Tarnopolsky ◽  
Eslam Khalaf ◽  
Ashvin Vishwanath
Keyword(s):  
Analytical Approach ◽  
Bilayer Graphene ◽  
Twisted Bilayer Graphene

Influence of Bi2O3 on Borophosphate Glasses Properties

2014 ◽  
Vol 979 ◽  
pp. 343-346 ◽  
Author(s):  
Natthakridta Chanthima ◽  
Jakrapong Kaewkhao
Keyword(s):  
Optical Properties ◽  
Molar Volume ◽  
Absorption Spectra ◽  
Packing Density ◽  
Visible Range ◽  
Melt Quenching ◽  
Borophosphate Glasses ◽  
Borophosphate Glass ◽  
Uv Visible

Borophosphate glasses have been synthesized with a Bi2O3concentration of 15.0 to 25.0 mol%, added 2.5 mol% for each concentration, by the normal melt quenching technique at 1200 °C. The physical and optical properties of bismuth borophosphate glass systems have been studied. The glasses are characterized for their physical and optical properties. The density and molar volume of these glasses were found in the range 3.4391 to 3.9338 g/cm3and 52.2515 to 55.7557 cm3/mol, respectively. It was observed that the density and molar volume of these glasses was increased with increasing the concentration of Bi2O3. The absorption spectra of these glasses were recorded in the UV-Visible range. It has been found that, the absorption spectra were shifted to longer wavelength with higher Bi2O3concentration. In addition, the oxygen packing density of glass samples have been also investigated.

Dirac particle in electric field with confining scalar potential on (anti)-de Sitter background

2018 ◽  
Vol 33 (34) ◽  
pp. 1850202 ◽  
Author(s):  
N. Messai ◽  
B. Hamil ◽  
A. Hafdallah
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Electric Field ◽  
Scalar Potential ◽  
Dirac Particle ◽  
Wave Functions ◽  
De Sitter ◽  
Sitter Background ◽  
Position Representation

In this paper, we study the (1 + 1)-dimensional Dirac equation in the presence of electric field and scalar linear potentials on (anti)-de Sitter background. Using the position representation, the energy spectrum and the corresponding wave functions are exactly obtained.

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