The band structure of several zinc-blende semiconductors from a self-consistent pseudopotential approach

1971 ◽  
Vol 9 (8) ◽  
pp. 481-485 ◽  
Author(s):  
David Brust
Keyword(s):  
Band Structure ◽  
Zinc Blende ◽  
Self Consistent ◽  
Pseudopotential Approach

EXCITON INSULATOR STATES IN MATERIALS WITH ‘MEXICAN HAT’ BAND STRUCTURE DISPERSION AND IN GRAPHENE

2015 ◽  
Vol 11 (1) ◽  
pp. 2927-2949
Author(s):  
Lyubov E. Lokot
Keyword(s):  
Band Structure ◽  
Three Dimensional ◽  
Dimensional Sphere ◽  
Electron Hole ◽  
Dinger Equation ◽  
Fermi Sphere ◽  
Zinc Blende ◽  
Bulk Gan ◽  
Structure Dispersion ◽  
Excitonic States

In the paper a theoretical study the both the quantized energies of excitonic states and their wave functions in grapheneand in materials with "Mexican hat" band structure dispersion as well as in zinc-blende GaN is presented. An integral twodimensionalSchrödinger equation of the electron-hole pairing for a particles with electron-hole symmetry of reflection isexactly solved. The solutions of Schrödinger equation in momentum space in studied materials by projection the twodimensionalspace of momentum on the three-dimensional sphere are found exactly. We analytically solve an integral twodimensionalSchrödinger equation of the electron-hole pairing for particles with electron-hole symmetry of reflection. Instudied materials the electron-hole pairing leads to the exciton insulator states. Quantized spectral series and lightabsorption rates of the excitonic states which distribute in valence cone are found exactly. If the electron and hole areseparated, their energy is higher than if they are paired. The particle-hole symmetry of Dirac equation of layered materialsallows perfect pairing between electron Fermi sphere and hole Fermi sphere in the valence cone and conduction cone andhence driving the Cooper instability. The solutions of Coulomb problem of electron-hole pair does not depend from a widthof band gap of graphene. It means the absolute compliance with the cyclic geometry of diagrams at justification of theequation of motion for a microscopic dipole of graphene where >1 s r . The absorption spectrums for the zinc-blendeGaN/(Al,Ga)N quantum well as well as for the zinc-blende bulk GaN are presented. Comparison with availableexperimental data shows good agreement.

Pseudopotential approach to the band structure of alkali halides

1972 ◽  
Vol 8 (1) ◽  
pp. 193-222 ◽  
Author(s):  
F. Bassani ◽  
E. S. Giuliano
Keyword(s):  
Band Structure ◽  
Alkali Halides ◽  
Pseudopotential Approach

Empirical tight-binding band structure of zinc-blende nitrides GaN, AIN, and BN

1996 ◽  
Vol 195 (2) ◽  
pp. 415-424 ◽  
Author(s):  
M. Ferhat ◽  
A. Zaoui ◽  
M. Certier ◽  
B. Khelifa
Keyword(s):  
Band Structure ◽  
Tight Binding ◽  
Zinc Blende

Band-structure pseudopotential calculation of zinc-blende and wurtzite AlN, GaN, and InN

2003 ◽  
Vol 67 (23) ◽  
Author(s):  
Daniel Fritsch ◽  
Heidemarie Schmidt ◽  
Marius Grundmann
Keyword(s):  
Band Structure ◽  
Zinc Blende

scholarly journals Self-consistent treatment of v-groove quantum wire band structure in no parabolic approximation

2004 ◽  
Vol 1 (3) ◽  
pp. 69-77 ◽  
Author(s):  
Jasna Crnjanski ◽  
Dejan Gvozdic
Keyword(s):  
Band Structure ◽  
Quantum Wire ◽  
The Self ◽  
Flat Band ◽  
Band Model ◽  
Parabolic Approximation ◽  
Self Consistent ◽  
Band Absorption ◽  
Consistent Treatment ◽  
Self Consistency

The self-consistent no parabolic calculation of a V-groove-quantum-wire (VQWR) band structure is presented. A comparison with the parabolic flat-band model of VQWR shows that both, the self-consistency and the nonparabolicity shift sub band edges, in some cases even in the opposite directions. These shifts indicate that for an accurate description of inter sub band absorption, both effects have to be taken into the account.

scholarly journals Mechanical properties and band structure of CdSe and CdTe nanostructures at high pressure - a first-principles study

2019 ◽  
Vol 13 (2) ◽  
pp. 124-131 ◽  
Author(s):  
Natarajan Kishore ◽  
Veerappan Nagarajan ◽  
Ramanathan Chandiramouli
Keyword(s):  
Mechanical Properties ◽  
High Pressure ◽  
Shear Modulus ◽  
Band Structure ◽  
First Principles ◽  
Pressure Range ◽  
Uniaxial Pressure ◽  
First Principles Calculations ◽  
Zinc Blende ◽  
Cauchy Pressure

First-principles calculations for CdSe and CdTe nanostructures were carried out to study their mechanical properties and band structure under the uniaxial pressure range of 0 to 50GPa. It was presumed that the CdSe and CdTe nanostructures exist in the zinc-blende phase under high pressure. The mechanical properties, such as elastic constants, bulk modulus, shear modulus and Young?s modulus, were explored. Furthermore, Cauchy pressure, Poisson?s ratio and Pugh?s criterion were studied under high pressure for both CdSe and CdTe nanostructures, and the results show that they exhibit ductile property. The band structure studies of CdSe and CdTe were also investigated. The findings show that the mechanical properties and the band structures of CdSe and CdTe can be tailored with high pressure.

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